chars int64 40 24k | content_type stringclasses 9
values | id stringlengths 13 64 | source stringclasses 5
values | subset stringclasses 31
values | text stringlengths 40 24k |
|---|---|---|---|---|---|
5,545 | lean_file_chunk | 4fd257810ac1edbe3bc0d7bf4896b5da3e0c40404d93f3ce4e5abebea4fc56ef | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.RingTheory.Radical.NatInt
import LeanPool.Redhill.Common.Conjectures
import LeanPool.Redhill.General.Coprime
import LeanPool.Redhill.General.Subsum
/-!
# The... |
14,981 | lean_file_chunk | 467d522760a1df575a8e65ad5b5626c78980022c81ca524c43b3b4033684beb2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Algebra.Order.Archimedean.Basic
import LeanPool.Redhill.Common.MaxAbs
import LeanPool.Redhill.General.Defs
import LeanPool.Redhill.ToMathlib.NatAbs
/-!
# Sub... |
13,159 | lean_file_chunk | aeb50c80233e52bbdc8f74a995d2852c8553a627b85b80be706f0045cbf8750f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.RingTheory.Radical.NatInt
import LeanPool.Redhill.Common.Conjectures
/-!
# The "warm-up" result (Theorem 2.... |
11,227 | lean_file_chunk | c124666406839bf9810cd3cb2b522ead76cb0efa960a8e772bee279ec54734a6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Algebra.BigOperators.Ring.Nat
import Mathlib.Algebra.Order.BigOperators.GroupWithZero.Finset
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.IntervalCase... |
7,106 | lean_file_chunk | a21ecb844f52d491f1dec74faed91a72701a67df863dde83a87f6c3b9f43c181 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import LeanPool.Redhill.Odd.Pell
import LeanPool.Redhill.Odd.Subsum
import LeanPool.Redhill.Common.Conjectures
/-!
# The odd case (Theorem 1.13)
-/
namespace OddCase
var... |
1,401 | lean_file_chunk | 26ab308bb87dce55170c05fcc2f96744622016f74ba9f669832931b88cf64cf8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.RingTheory.Radical.NatInt
/-!
# Pell equation for the odd case
-/
namespace OddCase
/-- An infinite sequence of pairs of natural numbers `(s, t)` satisfyi... |
11,140 | lean_file_chunk | 5a436479317426e506fedb57b9eab463176f2d80d6209ba48e7910932c780358 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Tactic.Zify
import LeanPool.Redhill.Common.MaxAbs
import LeanPool.Redhill.Odd.Defs
import LeanPool.Redhill.ToMathlib.NatAbs
import LeanPool.Redhill.ToMathlib.... |
543 | lean_file_chunk | b2ca1a2f86aa2102908573f53ef4d89df8312c7625508ead8add2db1794c866f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Data.Int.Order.Basic
/-!
# Lemmas on `Int.natAbs`
-/
lemma Int.sub_le_add_natAbs {a b : ℤ} : a.natAbs - b.natAbs ≤ (a + b).natAbs := by lia
lemma Int.natA... |
1,356 | lean_file_chunk | eeb0f8642c017dc6140b2fd1bb2e678389b01b177a75b1137d184015d1306670 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Algebra.Order.BigOperators.Group.Finset
import Mathlib.Algebra.Order.Monoid.NatCast
import Mathlib.Algebra.Ring.Nat
/-!
# Lemmas on when sums of natural numb... |
1,188 | lean_file_chunk | f7055bc880c62bca252b70ae59b33109765dc9b839ed65d270c583c41a61b743 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import LeanPool.Redhill.BB94
import LeanPool.Redhill.Common.Conjectures
import LeanPool.Redhill.Common.MaxAbs
import LeanPool.Redhill.Common.PairwiseCoprime
import LeanPool.R... |
1,678 | lean_file_chunk | c15865da4b04dd7ec6e9d49482e59b7312c2fe2ce89f878f0c8fccac8d70bab5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Calculus.ContDiff.Basic
import Mathlib.Topology.Algebra.Support
/-!
# `RellichKondrachov.Analysis.Calculus.ContDiff.Support`
Small glue lemma... |
11,822 | lean_file_chunk | 78b2375415978ad61fb714579b8b620a33b5ef7b483c2088bd08c86cd7026757 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Calculus.ContDiff.Operations
import Mathlib.Analysis.Calculus.FDeriv.Const
import Mathlib.Analysis.InnerProductSpace.Dual
import Mathlib.Measur... |
10,788 | lean_file_chunk | 47b0a6bd9a16ba1202cee4dcdc470ddf7bd7030c7ce8c0255bdaeacb7e38ce5f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H1
/-!
# `RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H2`
An upstream... |
23,989 | lean_file_chunk | 2e843ab62f01c09a732dde34dfb85f862de9a34e0fb37347b405fcd8fe51208b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.Translation
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean... |
972 | lean_file_chunk | 4de225de73477d6c6c0dee2aecafb857d7d5085288088fb5020044693b1de297 | lean_source_file | lean_pool_source_file_chunks | funext t
-- Use the previously proved integral identity.
simpa [F, f] using
(norm_sq_translateL2_sub_extendByZeroL2_eq_integral_sq
(E := E) (K := K) (hKm := hKm) t u).symm
have hRHS_rewrite :
(∫ t, (∫ x, (f (x - t) - f x) ^ 2 ∂(volume : Measure E)) ∂μ) =
∫ t, ‖(translateL2 (μ := (v... |
23,996 | lean_file_chunk | f639c598e661a42f17f4cba2eb941162ae1e187aa1f86e8c7c652484a9ae5d4c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.Compactness
import Mathlib.Analysis.Normed.Group.Bounded
import Mathlib.Top... |
1,744 | lean_file_chunk | 66a4b37a4d23cebc8dae1ed7fd3b5b6cd054046ea1342446b94d37b782a2a03f | lean_source_file | lean_pool_source_file_chunks | smoothFun (E := E) (K := K) ψ u (x : E) =
∫ t, kx t * u t ∂(volume.restrict K) := by
simp [hsmooth, mul_comm]
have hinner :
smoothFun (E := E) (K := K) ψ u (x : E) =
inner ℝ (u : MeasureTheory.Lp ℝ (2 : ℝ≥0∞) μ) kx := by
erw [MeasureTheory.L2.inner_def]; exact hsm... |
6,476 | lean_file_chunk | 3ae2771a3f85a0e143f980886f474ad0b8e638b5400d7cd6043f710d793ce8fa | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.Smoothing
import Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp
impor... |
8,781 | lean_file_chunk | 077485a4b1011061803d434b6ed8d5b2c1daab322a59a3b74339989039b93af8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.Approximation
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.S... |
4,191 | lean_file_chunk | bf90435f96e1f1ccb9563f77904fb35bc5ed341ea875e493bb42a1919b238461 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
import Mathlib.MeasureTheory.Integral.Bochner.Set
import Mathlib.Topology.Algebra.Support
/-!
# `L²` com... |
10,132 | lean_file_chunk | 6135c7f42894ac2a51fe13342df936747ab79d693d9d6e83adc51a5f2601bb46 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.MeasureTheory.Function.LpSpace.Restrict
import Mathlib.Analysis.Convolution
import Mathlib.Topology.Algebra.Support
/-!
# `L²` compa... |
17,022 | lean_file_chunk | 79bf4efb54d1cfad340ab539db1a1cb1d9a8b140dbafb72066d4260affb80d5d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.ArzelaAscoli
import Mathlib.MeasureTheory.Function.LpSpace.Basic
import Mat... |
5,709 | lean_file_chunk | 2df6b4a299e7c1b029f6648385ab6449fa5d59f88c83dea7acfbbdfa909016db | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.Approximation
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.S... |
1,308 | lean_file_chunk | 0188c83ca7269008651002a401885c1d475ee4a3fbfc94c023118f57fd52e21f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.L2Compactness.Smoothing
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobol... |
15,408 | lean_file_chunk | 63e52bb417acb29483992f9888937d4babcd2cee2af6c46b75ba936e3c000ba0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Normed.Operator.Compact.Basic
import Mathlib.MeasureTheory.Measure.Lebesgue.Basic
import Mathlib.MeasureTheory.Function.LpSpace.Complete
import... |
5,292 | lean_file_chunk | dd6e693c8f3fac15f8980fb5391fffd7d5f926f4025db3389bc6c101d98a0cbc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H1
import LeanPool.RellichKondrachov.MeasureTheory.Function.LpSpace.Restrict
/-!
# `Rell... |
7,313 | lean_file_chunk | 20f11a9d116332788a01c0d12c488fe553b41654e104b4c0767fe173f32efe71 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H1
import Mathlib.Analysis.Calculus.FDeriv.Add
import Mathlib.MeasureTheory.Group.Measure... |
6,803 | lean_file_chunk | 54874bb3be9c31eb0d5c9cd3e003574d3da2d42ecaf0a97fb1576c2b9d6ad74e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H1
import Mathlib.MeasureTheory.Integral.IntervalIntegral.ContDiff
import Mathlib.Analysi... |
4,350 | lean_file_chunk | 54b3f1bb24e04dfbd826729edc7e23cb6b0fd6e7156217a3d07724d8f5868f43 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.TranslationEstimateL2
import Mathlib.Topology.Order.OrderClosed
/-!
# `RellichKondrachov... |
17,161 | lean_file_chunk | 7c940ed806725005b27157a8093733c9f177ad4138a0d6869ffb2a5a36e7f853 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.Translation
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean... |
7,407 | lean_file_chunk | a3895c193412d5336cac2b54903452774c067e05bc14f37864b6f6d268553078 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Geometry.Manifold.Riemannian.Basic
import Mathlib.MeasureTheory.Integral.Lebesgue.Add
/-!
# `RellichKondrachov.Geometry.Manifold.Riemannian.ChartLocalL... |
14,460 | lean_file_chunk | 6b6a36ccb56d79f061dcaa86021a1b608e0e03bcb1d55a1c1696adea3573ca9a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Geometry.Manifold.Riemannian.Basic
/-!
# `RellichKondrachov.Geometry.Manifold.Riemannian.ChartLocalLipschitzForward`
Local Lipschitz control for the (... |
5,454 | lean_file_chunk | 96ab153f5cf3214b95ff49206f2ca3a5881e20e3e860fa61797a9ebee8e24a85 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Riemannian.ChartLocalLipschitz
import LeanPool.RellichKondrachov.Geometry.Manifold.Riemannian.VolumeMeasure
/-!
# ... |
2,564 | lean_file_chunk | b0e1ae36e9234caa77c40b21bf5890655f8a114039dd8c6fec38722b485e9f27 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Geometry.Manifold.Riemannian.Basic
import Mathlib.LinearAlgebra.Dimension.Finrank
import Mathlib.MeasureTheory.Measure.Hausdorff
import Mathlib.MeasureT... |
4,630 | lean_file_chunk | 13650a875c49ca993fc4015831305c7f9c3fb0065209cd0b1f772d46c3539e48 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Geometry.Manifold.PartitionOfUnity
import Mathlib.Topology.Compactness.Compact
/-!
# `RellichKondrachov.Geometry.Manifold.Sobolev.ChartData`
Chart/par... |
15,809 | lean_file_chunk | d3c382b16d1d473166709746b517081e369e8c56d005c64e19a1ae776f97980c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Riemannian.ChartLocalLipschitz
import LeanPool.RellichKondrachov.Geometry.Manifold.Riemannian.ChartLocalLipschitzFo... |
3,984 | lean_file_chunk | 45218086578bf231610059a2dcdf0f7d5892407cd3ae7c564616e8c055201f02 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartData
import Mathlib.MeasureTheory.Measure.AEMeasurable
import Mathlib.MeasureTheory.Measure.Typeclasse... |
4,494 | lean_file_chunk | 54c31d25b7465107fe1d9a7ac115588feaaedd086fae515446df1dbc05192125 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartMeasure
import Mathlib.MeasureTheory.Function.LpSpace.Basic
import Mathlib.MeasureTheory.Measure.Map
... |
18,598 | lean_file_chunk | a79607976c6c5f8e2f7d49d55c513dfa90a4ea44f6e8625878c5d7f96ad9785d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Riemannian.VolumeMeasure
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartDataRiemannian
import Lea... |
13,979 | lean_file_chunk | ad5a038a3d7d56fa67654aee4fd5dd2b05471c7bea69dd25f76e915b4fbdb1af | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartMeasureRiemannian
import LeanPool.RellichKondrachov.MeasureTheory.Measure.HausdorffVolume
/-!
# `Rell... |
6,934 | lean_file_chunk | 3a19c37456443a62a9c87db20b57251a217794ff4e7baf001a8c0d0430e1aea0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartMeasureLp
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.H1
import LeanPool.RellichKondra... |
13,361 | lean_file_chunk | 2ce65bc3769c65577d16a50b1ddb3aa9dc36fae70414f7a081a8437732448b4a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartMeasure
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.Localization
/-!
# `RellichKondra... |
12,753 | lean_file_chunk | f491ca8565d55e2ac91cd8a122c6bdba61695a44fae9420fbf6fb6b0044cb24b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.ChartMeasure
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.LocalizationH2
/-!
# `RellichKond... |
10,960 | lean_file_chunk | 889f9c468ca8a5e590decb87f422d433c6e86dff19de31bbad0f9b2b74802880 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Geometry.Manifold.Algebra.Monoid
import Mathlib.Geometry.Manifold.ContMDiff.Atlas
import LeanPool.RellichKondrachov.Analysis.Calculus.ContDiff.Support
i... |
4,830 | lean_file_chunk | 58ae1f90ea59fe923acab29e6305f9b2f79ace1d255d79b3477db838e39b6e4e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.Localization
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H2
/-!
# `Relli... |
4,834 | lean_file_chunk | 80973697bad56f59ede5bcaea6277e61df7dfb9ed2ae835e3cd792e1b0f3d287 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Normed.Operator.Compact.Basic
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.EmbeddingL2
/-!
# `RellichKondrachov.Geometry.Manifo... |
23,979 | lean_file_chunk | bcd7721c3d2b55d5e77ba6aa989e1d9f8abdd7ab69302329be6238868de2f96d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.Rellich
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.RellichKondrachovRiem... |
23,965 | lean_file_chunk | bf8288653a4ddecc648ca8b5bfb4273263a02a792cdc8ffdb6be82db183760ad | lean_source_file | lean_pool_source_file_chunks | · exact (MeasureTheory.Lp.aestronglyMeasurable (e (r x))).aemeasurable
· have hgmem : MeasureTheory.MemLp g.1 (2 : ℝ≥0∞) ((volume : Measure E).restrict K) := by
simpa using
(memLp_of_mem_C1c
(μ := (volume : Measure E).restrict K) (E := E) (f := g.1) g.2)
exact hgmem.1.aemeasurabl... |
11,626 | lean_file_chunk | 46d10a24d590f5a804135667a68dd1558db9b20709985ed6b259bd6e7bee057e | lean_source_file | lean_pool_source_file_chunks | hu_restrict.symm.trans hcm_ae.symm
exact this
-- Compute both sides as `extendByZero` of the same restricted-volume witness.
-- Left side: unfold the range equivalence and use `huK_eq` to identify the restricted witness.
have hL :
(↑((eL2RangeChartVol (dR := dR) (I := I) (i := i) (F := ℝ))
(... |
5,379 | lean_file_chunk | 83d94e1782a21fb5e0c730a4d33c04ad19591b02753f92a7c6e34b5dd4c1573d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.RellichKondrachov
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.RellichKondrachovRiemannian.C... |
23,958 | lean_file_chunk | 99118e25dac9bd2bcf45542f806945c58ef0e5586ac8f0ab928c44e4787cd5ff | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.MeasureTheory.Function.LpSpace.Complete
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.SupportedH1
import LeanPool.Rellic... |
14,401 | lean_file_chunk | a3c5757b6d71c4f0324bd8010cd68576b18f9ca0357ad4fe37ce040c8b939e17 | lean_source_file | lean_pool_source_file_chunks | RellichKondrachov.Geometry.Manifold.Riemannian.riemannianVolumeMeasure (I := I) (M := M)
let μchart := FiniteChartData.chartMeasure (d := dR.d) (I := I) μM i
let K : Set E := FiniteChartData.rhoSupportImage (d := dR.d) (I := I) i
↥(FiniteChartData.h1 (d := dR.d) (I := I) (μ := μM)) →L[ℝ]
↥(RellichKond... |
720 | lean_file_chunk | 8b493e4f67702460e0f535b2b59a5d1c26d5622187a08cce403e9f794f2f01a4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Geometry.Manifold.Sobolev.RellichKondrachovRiemannian.Global
/-!
# `RellichKondrachov.Geometry.Manifold.Sobolev.RellichKondrachovRie... |
12,991 | lean_file_chunk | e0b74ef5c74749ca89e586f2362c074443763837040f1b2014c2d588abbba850 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.Analysis.Normed.Operator.Compact.Basic
import Mathlib.MeasureTheory.Measure.AbsolutelyContinuous
import Mathlib.MeasureTheory.Function.LpSeminorm.Basic
... |
2,474 | lean_file_chunk | 2d6ff0a82193a18afdceb14511a76d75103e9c79973eca82c4c74315ee31e92c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.MeasureTheory.Function.LpSpace.ChangeMeasureLeSmul
import LeanPool.RellichKondrachov.MeasureTheory.Function.LpSpace.Restrict
/-!
# `... |
9,461 | lean_file_chunk | 5abd450a14fe17ce37a871b7c4f71f04e4231a513d0e57e9a1575c06922da7e1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.MeasureTheory.Function.LpSeminorm.Basic
import Mathlib.MeasureTheory.Function.LpSpace.Basic
/-!
# `RellichKondrachov.MeasureTheory.Function.LpSpace.Res... |
7,183 | lean_file_chunk | dec338bd1b58c367b7ddc0081f965ece26b150acd5e775c2ad25026f891b8d98 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import Mathlib.MeasureTheory.Measure.Hausdorff
import Mathlib.MeasureTheory.Measure.Haar.OfBasis
import Mathlib.MeasureTheory.Measure.OpenPos
/-!
# `RellichKondrachov... |
4,261 | lean_file_chunk | 951678ebdc9e2d4c1a8cf05b79f2b3d25c34358a0052ca33745645206ec832d1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Adam Benenson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Benenson
-/
import LeanPool.RellichKondrachov.Analysis.Calculus.ContDiff.Support
import LeanPool.RellichKondrachov.Analysis.FunctionalSpaces.Sobolev.Euclidean.H1
import LeanPool.R... |
8,254 | lean_file_chunk | 7c5a55fb9abcc61033e8c1fbd96b20a8d51048181d5590f7756e58dad5f6099f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Analytic.IsolatedZeros
import Mathlib.Analysis.Complex.RemovableSingularity
import Mathlib.MeasureTheory.Integral.CircleIntegral
/-!
# Lean... |
5,114 | lean_file_chunk | 39176958c1daa7f434b1d5459b756f060af69bff1245ac2473413d56afd51004 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import LeanPool.RiemannMappingTheorem.ToMathlib
import LeanPool.RiemannMappingTheorem.DerivInj
/-!
# LeanPool.RiemannMappingTheorem.Defs
-/
open Complex Metric Se... |
7,941 | lean_file_chunk | db78c18d3b6abf82a71701600a63ec146295f024a3ad05a0874fd20a315dbd1f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import LeanPool.RiemannMappingTheorem.Hurwitz
/-!
# LeanPool.RiemannMappingTheorem.DerivInj
-/
open Complex Metric circleIntegral Topology Filter Set
variable {ι... |
7,582 | lean_file_chunk | 52011a22d3d1eeeba2aa3f467f0a75653d7ee9b9a3dc3dac042ffde5e1af217e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Complex.Schwarz
import LeanPool.RiemannMappingTheorem.Defs
import LeanPool.RiemannMappingTheorem.ToMathlib
/-!
# LeanPool.RiemannMappingThe... |
4,358 | lean_file_chunk | f4d505d7a2b86bc5328e405c1d5db0b0feba0e8455b658f0c67bf59c667abada | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import LeanPool.RiemannMappingTheorem.Cindex
/-!
# LeanPool.RiemannMappingTheorem.HasSqrt
-/
open Set Complex Metric Topology
variable {z z₀ : ℂ} {U : Set ℂ}
/-... |
18,403 | lean_file_chunk | 6cb2e8a7ace08c3db089d89a648266e9d19f82697de299fb075886bd6d352a0b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Complex.LocallyUniformLimit
import LeanPool.RiemannMappingTheorem.Uniform
import LeanPool.RiemannMappingTheorem.Cindex
/-!
# LeanPool.Riema... |
4,133 | lean_file_chunk | 9af988624660128990d46fc20dc86fb8bc81d6b05314ce8496de46a05dc5ec29 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import LeanPool.RiemannMappingTheorem.Spaces
import LeanPool.RiemannMappingTheorem.Etape2
import LeanPool.RiemannMappingTheorem.HasSqrt
import LeanPool.RiemannMappi... |
4,619 | lean_file_chunk | 537930ef58264df039a9ced78ea09035a4031fe1707a1d13fddfaea8d4fd69b1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Complex.Liouville
import Mathlib.Topology.UniformSpace.Ascoli
import LeanPool.RiemannMappingTheorem.Spaces
import LeanPool.RiemannMappingThe... |
6,182 | lean_file_chunk | 4c3c8f15b539cb3e3d3591b00efed89e44bdc530306f416f586fb2e17a74cde5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Complex.LocallyUniformLimit
import Mathlib.Analysis.Complex.OpenMapping
import LeanPool.RiemannMappingTheorem.Defs
/-!
# LeanPool.RiemannMa... |
8,553 | lean_file_chunk | 994b745209a34d012a2801933c439bba6385af481c7cbd4383f588977501fe8d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Analysis.Calculus.ParametricIntegral
import Mathlib.MeasureTheory.Integral.IntervalIntegral.IntegrationByParts
import LeanPool.RiemannMappingTheorem.... |
5,781 | lean_file_chunk | 6988422e05244544e201cb45d5d893058d1a1355adeac22b4097b915d8c782ed | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import Mathlib.Topology.UniformSpace.Compact
import Mathlib.Topology.UniformSpace.UniformConvergence
/-!
# LeanPool.RiemannMappingTheorem.Uniform
-/
open Set Filt... |
1,628 | lean_file_chunk | c9710b19b7d75520d741f3848d9ba5e4e0304e358a8f89fecc4161c703a8a837 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Vincent Beffara. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vincent Beffara
-/
import LeanPool.RiemannMappingTheorem.Main
/-!
# Riemann Mapping Theorem
Source: url:https://github.com/vbeffara/RMT4
Authors: Vincent Beffara
Status: verified
M... |
737 | lean_file_chunk | 295124e59dc680b17591e1bdda5d6a99776469ebb97245c7fd62d1e2950a3693 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Analysis.Normed.Group.Basic
import Mathlib.Algebra.Order.Ring.Basic
/-!
# LeanPool.RlTheoryInLean.Analysis.Normed.Group.Basic
-/
variable {E : Type... |
309 | lean_file_chunk | 9e057522d4529005ea2dbbacdc14a8c588a437b0b3635e12c4009496e724b2f8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Analysis.Normed.Group.Basic
/-!
# Group
Import-only index for the `Group` directory of the RL-theory-in-Lean import.
-/ |
305 | lean_file_chunk | b3fe3b446e28f1968565fa788a61ca41e456cb1833e33109533dcf95435e5ada | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Analysis.Normed.Group
/-!
# Normed
Import-only index for the `Normed` directory of the RL-theory-in-Lean import.
-/ |
303 | lean_file_chunk | 4cb4594dd6d44b54738ac2925524b59eec01a5e18361c759e06c763b54696078 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Analysis.Normed
/-!
# Analysis
Import-only index for the `Analysis` directory of the RL-theory-in-Lean import.
-/ |
1,268 | lean_file_chunk | 97bcbe0ad97254d27eedf57418641069557ea2c35a1f4a64d89ce3d878162ce8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Data.Matrix.Mul
import Mathlib.Tactic.Linarith.Frontend
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Data.Real.Basic
/-!
# LeanPool.RlTheoryInL... |
5,287 | lean_file_chunk | 6463e64076fbb92220ed24a211ca77aa08a4fcb12b6092aa559073861817e933 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.Analysis.InnerProductSpace.Basic
import Mathlib.Analysis.InnerProductSpace.Defs
import Mathlib.LinearA... |
23,979 | lean_file_chunk | 2b6b723c0656578d9e5e9c7d866a1c228a5f6d7800e74b8e9d461c780c425dfb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.Order.Interval.Finset.Defs
import Mathlib.MeasureTheory.MeasurableSpace.Instances
import Math... |
11,143 | lean_file_chunk | 8507da5ff3ad187546646c71bb311eaee680ff83a78247aa4a97d72a13a5e21e | lean_source_file | lean_pool_source_file_chunks | rw [Matrix.smul_vecMul]
_ = ‖WithLp.toLp 1 ((n + 1 : ℝ)⁻¹ • ((∑ k ∈ Finset.range (n + 1), x₀ ᵥ* P ^ k) ᵥ* P -
∑ k ∈ Finset.range (n + 1), x₀ ᵥ* P ^ k))‖ := by
rw [smul_sub]
_ = ‖WithLp.toLp 1 ((n + 1 : ℝ)⁻¹ • (∑ k ∈ Finset.range (n + 1),
((x₀ ᵥ* P ^ k) ᵥ* P - x₀ ᵥ* P ^ k)))‖ := b... |
403 | lean_file_chunk | 54d9497e9d5b23610166e0122509f21b2f7a229039807ed07b894c22c11f5e7a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Data.Matrix.Mul
import LeanPool.RlTheoryInLean.Data.Matrix.PosDef
import LeanPool.RlTheoryInLean.Data.Matrix.Stochastic
/-!
# Matri... |
291 | lean_file_chunk | 4fdf6d7f108f984f17db7cdb91d5d57cda9c38aa0dfc7d824fb97b6ceae05d75 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Data.Matrix
/-!
# Data
Import-only index for the `Data` directory of the RL-theory-in-Lean import.
-/ |
1,923 | lean_file_chunk | 28c0194d5ac0922e6d31035c5506f780787007176a6276b042a5cb880dcc1836 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.MeasureTheory.MeasurableSpace.Defs
import Mathlib.MeasureTheory.Integral.Bochner.Basic
import Mathlib.... |
4,540 | lean_file_chunk | a8f4b18eac20ad02f2c9fc36ff6965463dfc1a5d87b0c8d55d2308f9954f2d90 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.Analysis.InnerProductSpace.Basic
import Mathlib.Analysis.InnerProductSpace.Defs
import Mathlib.Analysi... |
367 | lean_file_chunk | 15d9473b5041f58f94d555c212793a4744917c55580d19182036486e66bfada7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.Function.ConditionalExpectation.Basic
/-!
# ConditionalExpectation
Import-only index for the `ConditionalExpectation... |
1,146 | lean_file_chunk | 626e79d200125f06c894966f0bc4be446b40deba9b0f15c55b7fec362bd870ee | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.MeasureTheory.Function.L1Space.Integrable
/-!
# LeanPool.RlTheoryInLean.MeasureTheory.Function.L1Space.Integrable
-/
open Filter
namespace Measure... |
327 | lean_file_chunk | 72daa627cc6ce9cda8bb884d63c4c2d17b5b5a8aa724b2f74947ec0865cf5aab | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.Function.L1Space.Integrable
/-!
# L1Space
Import-only index for the `L1Space` directory of the RL-theory-in-Lean imp... |
395 | lean_file_chunk | 58794857d3caa76aeca7d25e2039049aeb64312ce382c0ad1af1504f9c657ee1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.Function.ConditionalExpectation
import LeanPool.RlTheoryInLean.MeasureTheory.Function.L1Space
/-!
# Function
Import-... |
562 | lean_file_chunk | fe0bea7e90c0cf27c643ecbe8ef914cf8924008cc6d6777e20add69c407765c6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.MeasureTheory.MeasurableSpace.Constructions
/-!
# LeanPool.RlTheoryInLean.MeasureTheory.MeasurableSpace.Constructions
-/
lemma Measurable.of_uncurr... |
345 | lean_file_chunk | 3ca89e562360b500e9d93217432c7f6b17820f14db8c3b033b408c6a82c1e7cb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.MeasurableSpace.Constructions
/-!
# MeasurableSpace
Import-only index for the `MeasurableSpace` directory of the RL-... |
1,693 | lean_file_chunk | 0a582f21306d1de1d004db7475572031c21251913bc6b93b647b591b3560a9e4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.Order.Interval.Finset.Defs
import Mathlib.MeasureTheory.MeasurableSpace.Instances
import Math... |
1,739 | lean_file_chunk | 138b2d0ebc56d7914ee597fd545e515fbc36f9f3cc1b698a0c6ed8caa528cf7e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.Order.Interval.Finset.Defs
import Mathlib.MeasureTheory.MeasurableSpace.Instances
import Math... |
375 | lean_file_chunk | 8bda9678065e2cf6f9ca4fdfe791b1191e257fe32bfcde61084359d05750ce13 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.Measure.GiryMonad
import LeanPool.RlTheoryInLean.MeasureTheory.Measure.Prod
/-!
# Measure
Import-only index for the ... |
434 | lean_file_chunk | 06b3c0df49d71d5136e9eb04d70a70ca6e6f729dab644c6f46610e3b1202ee8a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.MeasureTheory.Function
import LeanPool.RlTheoryInLean.MeasureTheory.MeasurableSpace
import LeanPool.RlTheoryInLean.MeasureTheory.Mea... |
930 | lean_file_chunk | 609fd28b4291cc4256ad8ab710800723890a309988be75264d48847607a059fd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Order.Filter.Basic
import Mathlib.Data.Finset.Basic
import Mathlib.Algebra.BigOperators.Group.Finset.Defs
import Mathlib.Algebra.BigOperators.Group.F... |
302 | lean_file_chunk | 324c974a1ef78b608995eae502dbfc4146e7a0f3c94e6910f76f60b8cdd8d6fd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Order.Filter.Basic
/-!
# Filter
Import-only index for the `Filter` directory of the RL-theory-in-Lean import.
-/ |
294 | lean_file_chunk | 6875980149cfda94664f04fa26d1fbddb7cd964299290937570e08dcd1981828 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Order.Filter
/-!
# Order
Import-only index for the `Order` directory of the RL-theory-in-Lean import.
-/ |
1,998 | lean_file_chunk | 3da392782f3d0722233178c4b0a730237e2601a937aa325c5fdc5ec204fdd4e8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Probability.ConditionalProbability
import Mathlib.Probability.Kernel.Defs
import Mathlib.Probability.Kernel.Basic
import Mathlib.Probability.Kernel.C... |
2,160 | lean_file_chunk | aa9f491f052dcce103151ce45abec1b2d38351642ee88feedf939db4fc02023f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Probability.Kernel.Composition.MapComap
import Mathlib.Probability.ConditionalProbability
import Mathlib.Probability.Kernel.Defs
import Mathlib.Proba... |
333 | lean_file_chunk | c823b62ea3c7561161d197c41d3a5dfc3c74b91de8f166b7e86a9ee95e37567f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Probability.Kernel.Composition.MapComap
/-!
# Composition
Import-only index for the `Composition` directory of the RL-theory-in-Le... |
370 | lean_file_chunk | 629fa6448a25192e22a068a14b605289da544893f557df888b2ae6e7e3fe0b88 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import LeanPool.RlTheoryInLean.Probability.Kernel.Basic
import LeanPool.RlTheoryInLean.Probability.Kernel.Composition
/-!
# Kernel
Import-only index for the `Ker... |
1,541 | lean_file_chunk | 93f9e625d73a0f592dbc52d7971d8841f87a5d8ea40b703bcbd613881f0bdd4d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Shangtong Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shangtong Zhang
-/
import Mathlib.Probability.ConditionalProbability
import Mathlib.Probability.Kernel.IonescuTulcea.Traj
import Mathlib.Probability.Kernel.Defs
import Mathlib.Measure... |
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