url stringclasses 147
values | commit stringclasses 147
values | file_path stringlengths 7 101 | full_name stringlengths 1 94 | start stringlengths 6 10 | end stringlengths 6 11 | tactic stringlengths 1 11.2k | state_before stringlengths 3 2.09M | state_after stringlengths 6 2.09M | input stringlengths 73 2.09M |
|---|---|---|---|---|---|---|---|---|---|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.prod, ModelWithCorners.source_eq, mem_univ, and_self, setOf_true,
PartialEquiv.prod_target, ModelWithCorners.target_eq, ModelWithCorners.mk_coe,
mem_inter_iff, mem_preimage, mem_prod] at m ⊢ | case refine_1.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_1.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | exact ⟨m.1.2, (subset_of_eq ei m.2).2⟩ | case refine_1.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.prod, ModelWithCorners.source_eq, mem_univ, and_self, setOf_true,
PartialEquiv.prod_target, ModelWithCorners.target_eq, ModelWithCorners.mk_symm,
PartialEquiv.coe_symm_mk, PartialHomeomorph.prod_apply, ModelWithCorners.mk_coe,
PartialHomeomorph.prod_toPartialEquiv, PartialEquiv.prod_so... | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | intro x ⟨⟨m0,m1⟩,m2⟩ | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | replace m2 := subset_of_eq ei m2 | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | exact subset_of_eq ei.symm ⟨fa.2.1.2 ⟨m0,m2.1⟩, ga.2.1.2 ⟨m1,m2.2⟩⟩ | case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_2
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | apply AnalyticOn.prod | case refine_3
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.symm, modelWithCorners_prod_toPartialEquiv,
PartialEquiv.prod_symm, PartialEquiv.prod_coe, ModelWithCorners.toPartialEquiv_coe_symm,
PartialHomeomorph.prod_apply, PartialHomeomorph.prod_toPartialEquiv,
PartialEquiv.prod_source] | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | refine fa.2.2.1.comp (analyticOn_fst _) ?_ | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | intro x m | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.prod, ModelWithCorners.source_eq, mem_univ, and_self, setOf_true,
PartialEquiv.prod_target, ModelWithCorners.target_eq, ModelWithCorners.mk_coe,
mem_inter_iff, mem_preimage, mem_prod] at m ⊢ | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | exact ⟨m.1.1, (subset_of_eq ei m.2).1⟩ | case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hf
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.symm, modelWithCorners_prod_toPartialEquiv,
PartialEquiv.prod_symm, PartialEquiv.prod_coe, ModelWithCorners.toPartialEquiv_coe_symm,
PartialHomeomorph.prod_apply, PartialHomeomorph.prod_toPartialEquiv,
PartialEquiv.prod_source] | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | refine ga.2.2.1.comp (analyticOn_snd _) ?_ | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | intro x m | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.prod, ModelWithCorners.source_eq, mem_univ, and_self, setOf_true,
PartialEquiv.prod_target, ModelWithCorners.target_eq, ModelWithCorners.mk_coe,
mem_inter_iff, mem_preimage, mem_prod] at m ⊢ | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | exact ⟨m.1.2, (subset_of_eq ei m.2).2⟩ | case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialH... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.hg
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : Mod... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | simp only [ModelWithCorners.prod, ModelWithCorners.source_eq, mem_univ, and_self, setOf_true,
PartialEquiv.prod_target, ModelWithCorners.target_eq, ModelWithCorners.mk_symm,
PartialEquiv.coe_symm_mk, PartialHomeomorph.prod_apply, ModelWithCorners.mk_coe,
PartialHomeomorph.prod_toPartialEquiv, PartialEquiv.prod_so... | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | intro x ⟨⟨m0,m1⟩,m2⟩ | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | replace m2 := subset_of_eq ei m2 | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticGroupoid_prod | [79, 1] | [150, 72] | exact subset_of_eq ei.symm ⟨fa.2.2.2 ⟨m0,m2.1⟩, ga.2.2.2 ⟨m1,m2.2⟩⟩ | case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelWithCorners 𝕜 E A
J : ModelWithCorners 𝕜 F B
f : PartialHome... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_4
𝕜 : Type
inst✝⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : TopologicalSpace A
F B : Type
inst✝² : NormedAddCommGroup F
inst✝¹ : NormedSpace 𝕜 F
inst✝ : TopologicalSpace B
I : ModelW... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | apply AnalyticOn.congr (f := fun z ↦ z) | 𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ AnalyticOn 𝕜 (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) (↑𝓘(𝕜, E) '' (f.symm.trans f).source) | case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (↑𝓘(𝕜, E) '' (f.symm.trans f).source)
case hf
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGrou... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ AnalyticOn 𝕜 (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) (↑𝓘(𝕜, E) '' (f.s... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | simp only [modelWithCornersSelf_coe, id_eq, image_id', PartialHomeomorph.trans_toPartialEquiv,
PartialHomeomorph.symm_toPartialEquiv, PartialEquiv.trans_source, PartialEquiv.symm_source,
PartialHomeomorph.coe_coe_symm] | case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (↑𝓘(𝕜, E) '' (f.symm.trans f).source) | case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (f.target ∩ ↑f.symm ⁻¹' f.source) | Please generate a tactic in lean4 to solve the state.
STATE:
case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (↑𝓘(𝕜, E) '' (f.symm.trans f).source)
TACTIC:
|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | exact f.isOpen_inter_preimage_symm f.open_source | case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (f.target ∩ ↑f.symm ⁻¹' f.source) | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hs
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ IsOpen (f.target ∩ ↑f.symm ⁻¹' f.source)
TACTIC:
|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | exact analyticOn_id _ | case hf
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ AnalyticOn 𝕜 (fun z => z) (↑𝓘(𝕜, E) '' (f.symm.trans f).source) | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hf
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ AnalyticOn 𝕜 (fun z => z) (↑𝓘(𝕜, E) '' (f.symm.trans f).source)
TACTIC:
|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | intro x m | case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ EqOn (fun z => z) (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) (↑𝓘(𝕜, E) '' (f.symm.trans f).source) | case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ ↑𝓘(𝕜, E) '' (f.symm.trans f).source
⊢ (fun z => z) x = (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) x | Please generate a tactic in lean4 to solve the state.
STATE:
case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
⊢ EqOn (fun z => z) (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) (↑𝓘(𝕜... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | simp only [modelWithCornersSelf_coe, id, image_id', PartialHomeomorph.trans_toPartialEquiv,
PartialHomeomorph.symm_toPartialEquiv, PartialEquiv.trans_source, PartialEquiv.symm_source,
PartialHomeomorph.coe_coe_symm, mem_inter_iff, mem_preimage, Function.comp,
modelWithCornersSelf_coe_symm, PartialHomeomorph.coe_t... | case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ ↑𝓘(𝕜, E) '' (f.symm.trans f).source
⊢ (fun z => z) x = (↑𝓘(𝕜, E) ∘ ↑(f.symm.trans f) ∘ ↑𝓘(𝕜, E).symm) x | case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ f.target ∧ ↑f.symm x ∈ f.source
⊢ x = ↑f (↑f.symm x) | Please generate a tactic in lean4 to solve the state.
STATE:
case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ ↑𝓘(𝕜, E) '' (f.symm.trans f).source
⊢ (fun z => z) x = (↑𝓘(𝕜... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | extChartAt_self_analytic | [208, 1] | [223, 25] | rw [f.right_inv m.1] | case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ f.target ∧ ↑f.symm x ∈ f.source
⊢ x = ↑f (↑f.symm x) | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hg
𝕜 : Type
inst✝³ : NontriviallyNormedField 𝕜
E : Type
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedSpace 𝕜 E
M : Type
inst✝ : TopologicalSpace M
f : PartialHomeomorph M E
x : E
m : x ∈ f.target ∧ ↑f.symm x ∈ f.source
⊢ x = ↑f (↑f.symm x)
TACTIC:
|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_iff | [263, 1] | [267, 54] | simp only [HolomorphicAt, ChartedSpace.liftPropAt_iff, extChartAt, PartialHomeomorph.extend_coe,
PartialHomeomorph.extend_coe_symm, Function.comp] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphic_iff | [270, 1] | [274, 92] | simp only [Holomorphic, holomorphicAt_iff, continuous_iff_continuousAt] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphic_iff | [270, 1] | [274, 92] | exact forall_and | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticAt_iff_holomorphicAt | [295, 1] | [300, 32] | simp only [holomorphicAt_iff, extChartAt_eq_refl, PartialEquiv.refl_coe, PartialEquiv.refl_symm,
Function.id_comp, Function.comp_id, id_eq, iff_and_self] | 𝕜 : Type
inst✝³² : NontriviallyNormedField 𝕜
E A : Type
inst✝³¹ : NormedAddCommGroup E
inst✝³⁰ : NormedSpace 𝕜 E
inst✝²⁹ : CompleteSpace E
inst✝²⁸ : TopologicalSpace A
F B : Type
inst✝²⁷ : NormedAddCommGroup F
inst✝²⁶ : NormedSpace 𝕜 F
inst✝²⁵ : CompleteSpace F
inst✝²⁴ : TopologicalSpace B
G C : Type
inst✝²³ : Norm... | 𝕜 : Type
inst✝³² : NontriviallyNormedField 𝕜
E A : Type
inst✝³¹ : NormedAddCommGroup E
inst✝³⁰ : NormedSpace 𝕜 E
inst✝²⁹ : CompleteSpace E
inst✝²⁸ : TopologicalSpace A
F B : Type
inst✝²⁷ : NormedAddCommGroup F
inst✝²⁶ : NormedSpace 𝕜 F
inst✝²⁵ : CompleteSpace F
inst✝²⁴ : TopologicalSpace B
G C : Type
inst✝²³ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝³² : NontriviallyNormedField 𝕜
E A : Type
inst✝³¹ : NormedAddCommGroup E
inst✝³⁰ : NormedSpace 𝕜 E
inst✝²⁹ : CompleteSpace E
inst✝²⁸ : TopologicalSpace A
F B : Type
inst✝²⁷ : NormedAddCommGroup F
inst✝²⁶ : NormedSpace 𝕜 F
inst✝²⁵ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | analyticAt_iff_holomorphicAt | [295, 1] | [300, 32] | exact AnalyticAt.continuousAt | 𝕜 : Type
inst✝³² : NontriviallyNormedField 𝕜
E A : Type
inst✝³¹ : NormedAddCommGroup E
inst✝³⁰ : NormedSpace 𝕜 E
inst✝²⁹ : CompleteSpace E
inst✝²⁸ : TopologicalSpace A
F B : Type
inst✝²⁷ : NormedAddCommGroup F
inst✝²⁶ : NormedSpace 𝕜 F
inst✝²⁵ : CompleteSpace F
inst✝²⁴ : TopologicalSpace B
G C : Type
inst✝²³ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝³² : NontriviallyNormedField 𝕜
E A : Type
inst✝³¹ : NormedAddCommGroup E
inst✝³⁰ : NormedSpace 𝕜 E
inst✝²⁹ : CompleteSpace E
inst✝²⁸ : TopologicalSpace A
F B : Type
inst✝²⁷ : NormedAddCommGroup F
inst✝²⁶ : NormedSpace 𝕜 F
inst✝²⁵ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | rw [holomorphicAt_iff] at fh gh ⊢ | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | use fh.1.comp gh.1 | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | have e : extChartAt J (g x) (g x) =
(extChartAt J (g x) ∘ g ∘ (extChartAt I x).symm) (extChartAt I x x) := by
simp only [Function.comp_apply, PartialEquiv.left_inv _ (mem_extChartAt_source I x)] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | rw [e] at fh | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | apply (fh.2.comp gh.2).congr | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | clear e fh | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | simp only [Function.comp] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | refine m.mp (eventually_of_forall fun y m ↦ ?_) | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | simp_rw [PartialEquiv.left_inv _ m] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | simp only [Function.comp_apply, PartialEquiv.left_inv _ (mem_extChartAt_source I x)] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | apply ContinuousAt.eventually_mem | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case hf
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | apply ContinuousAt.comp | case hf
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case hf
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : C... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | rw [PartialEquiv.left_inv _ (mem_extChartAt_source _ _)] | case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | exact gh.1 | case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hf.hg
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | exact continuousAt_extChartAt_symm I x | case hf.hf
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hf.hf
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | rw [PartialEquiv.left_inv _ (mem_extChartAt_source _ _)] | case hs
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | case hs
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | Please generate a tactic in lean4 to solve the state.
STATE:
case hs
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : C... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp | [321, 1] | [338, 38] | exact extChartAt_source_mem_nhds _ _ | case hs
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case hs
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : C... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp_of_eq | [345, 1] | [348, 35] | rw [← e] at fh | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp_of_eq | [345, 1] | [348, 35] | exact fh.comp gh | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.prod | [351, 1] | [355, 76] | rw [holomorphicAt_iff] at fh gh ⊢ | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.prod | [351, 1] | [355, 76] | use fh.1.prod gh.1 | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.prod | [351, 1] | [355, 76] | refine (fh.2.prod gh.2).congr (eventually_of_forall fun y ↦ ?_) | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.prod | [351, 1] | [355, 76] | simp only [extChartAt_prod, Function.comp, PartialEquiv.prod_coe] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp₂_of_eq | [368, 1] | [371, 91] | rw [← e] at ha | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.comp₂_of_eq | [368, 1] | [371, 91] | exact ha.comp₂ fa ga | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | use continuousAt_id | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | apply (analyticAt_id _ _).congr | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | filter_upwards [((isOpen_extChartAt_target I x).eventually_mem (mem_extChartAt_target I x))] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | intro y m | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_id | [374, 1] | [378, 60] | simp only [Function.comp, PartialEquiv.right_inv _ m, id] | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_const | [384, 1] | [386, 70] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_const | [384, 1] | [386, 70] | use continuousAt_const | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_const | [384, 1] | [386, 70] | simp only [Prod.fst_comp_mk, Function.comp] | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_const | [384, 1] | [386, 70] | exact analyticAt_const | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | use continuousAt_fst | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | refine (analyticAt_fst _).congr ?_ | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | filter_upwards [((isOpen_extChartAt_target _ x).eventually_mem (mem_extChartAt_target _ _))] | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | intro y m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | rw [extChartAt_prod] at m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | simp only [PartialHomeomorph.prod_toPartialEquiv, PartialEquiv.prod_target, mem_prod] at m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | simp only [extChartAt_prod, Function.comp, PartialEquiv.prod_coe_symm] | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_fst | [411, 1] | [419, 48] | exact ((extChartAt I x.1).right_inv m.1).symm | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | use continuousAt_snd | 𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹ : Norm... | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | refine (analyticAt_snd _).congr ?_ | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | filter_upwards [((isOpen_extChartAt_target _ x).eventually_mem (mem_extChartAt_target _ _))] | case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
ins... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | intro y m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | rw [extChartAt_prod] at m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | simp only [PartialHomeomorph.prod_toPartialEquiv, PartialEquiv.prod_target, mem_prod] at m | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | simp only [extChartAt_prod, Function.comp, PartialEquiv.prod_coe_symm] | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | holomorphicAt_snd | [422, 1] | [430, 48] | exact ((extChartAt J x.2).right_inv m.2).symm | case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : CompleteSpace F
inst✝²⁰ : TopologicalSpace B
G C : Type
inst✝¹⁹... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁸ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁷ : NormedAddCommGroup E
inst✝²⁶ : NormedSpace 𝕜 E
inst✝²⁵ : CompleteSpace E
inst✝²⁴ : TopologicalSpace A
F B : Type
inst✝²³ : NormedAddCommGroup F
inst✝²² : NormedSpace 𝕜 F
inst✝²¹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | use continuousAt_extChartAt' I ys | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | simp only [Function.comp, extChartAt, PartialHomeomorph.extend, PartialEquiv.coe_trans,
PartialHomeomorph.toFun_eq_coe, ModelWithCorners.toPartialEquiv_coe,
PartialHomeomorph.refl_partialEquiv, PartialEquiv.refl_source,
PartialHomeomorph.singletonChartedSpace_chartAt_eq, modelWithCornersSelf_partialEquiv,
Parti... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | have a : (chartAt A x).symm ≫ₕ chartAt A y ∈ analyticGroupoid I := by
apply StructureGroupoid.compatible_of_mem_maximalAtlas
exact (@StructureGroupoid.chart_mem_maximalAtlas _ _ _ _ _ (analyticGroupoid I)
cm.toHasGroupoid x)
exact (@StructureGroupoid.chart_mem_maximalAtlas _ _ _ _ _ (analyticGroupoid I)
c... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | simp only [mem_analyticGroupoid_of_boundaryless, PartialHomeomorph.trans_symm_eq_symm_trans_symm,
Function.comp, PartialHomeomorph.trans_apply] at a | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | apply a.2 | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
i... | Please generate a tactic in lean4 to solve the state.
STATE:
case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | clear a | case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
i... | case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
i... | Please generate a tactic in lean4 to solve the state.
STATE:
case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | use chartAt A y y | case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
i... | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | Please generate a tactic in lean4 to solve the state.
STATE:
case right.a
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | aesop | case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : Co... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | apply StructureGroupoid.compatible_of_mem_maximalAtlas | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case he
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | exact (@StructureGroupoid.chart_mem_maximalAtlas _ _ _ _ _ (analyticGroupoid I)
cm.toHasGroupoid x) | case he
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹... | case he'
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝... | Please generate a tactic in lean4 to solve the state.
STATE:
case he
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : C... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt | [448, 1] | [466, 47] | exact (@StructureGroupoid.chart_mem_maximalAtlas _ _ _ _ _ (analyticGroupoid I)
cm.toHasGroupoid y) | case he'
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case he'
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt_symm | [469, 1] | [487, 42] | rw [holomorphicAt_iff] | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/AnalyticManifold.lean | HolomorphicAt.extChartAt_symm | [469, 1] | [487, 42] | use continuousAt_extChartAt_symm'' I ys | 𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
inst✝¹⁷ : Norm... | case right
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteSpace F
inst✝¹⁸ : TopologicalSpace B
G C : Type
ins... | Please generate a tactic in lean4 to solve the state.
STATE:
𝕜 : Type
inst✝²⁶ : NontriviallyNormedField 𝕜
E A : Type
inst✝²⁵ : NormedAddCommGroup E
inst✝²⁴ : NormedSpace 𝕜 E
inst✝²³ : CompleteSpace E
inst✝²² : TopologicalSpace A
F B : Type
inst✝²¹ : NormedAddCommGroup F
inst✝²⁰ : NormedSpace 𝕜 F
inst✝¹⁹ : CompleteS... |
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