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 |
|---|---|---|---|---|---|
8,997 | lean_file_chunk | 74029199e0d1645f6215c6956d1946c2fecb8cb755b111a54acfcb442cf3bf35 | lean_source_file | lean_pool_source_file_chunks | (hclosedBall_subset : Metric.closedBall (0 : Domain n) R0 ⊆ Ω)
(hflat : ScalarCutoffsConstNearOrigin R0)
(hac : WeakEnergyAbsolutelyContinuousOnRadii Du R0)
(henergy_radius : WeakEnergyRadiusIntegralFormula Du R0)
(hradial_radius : WeakRadialEnergyRadiusIntegralFormula Du R0)
(hdefect_loc :
Lo... |
11,842 | lean_file_chunk | 27e20ab3cab0d10f897834b40931a982709bad77b3b59476b50b929f9093af61 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.BoundaryBasics
/-!
# Primitive cutoff realization
This module contains the primitive cutoff realization and the... |
20,652 | lean_file_chunk | fdc3094aab631ad9ffbf06d154bf0bc79896df68f9f60d16551ea8cf47031486 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.Analysis.Calculus.BumpFunction.InnerProduct
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadialGeometry
/-!
# Radial cutoff packages
This mod... |
23,976 | lean_file_chunk | 52012e6d4a1f561e8baceb548ca696eeb1e93709852e6c3a81300cf20595d820 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.Analysis.InnerProductSpace.Calculus
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.Euclidean
/-!
# Radial Geometry
-/
noncomputable section
op... |
4,692 | lean_file_chunk | 48f29bd69cb4e39cba23e1bd7c10e1e3f108094a7bbc3124387177a07551dd11 | lean_source_file | lean_pool_source_file_chunks | inner ℝ (partialDerivative u i x) (partialDerivative u j x)) := by
let S : Target m :=
∑ i : Fin n, SMul.smul (x i) (partialDerivative u i x)
have hS :
‖S‖ ^ 2 =
∑ i : Fin n, ∑ j : Fin n,
x i * x j *
inner ℝ (partialDerivative u i x) (partialDerivative u j x) := by
simpa ... |
17,517 | lean_file_chunk | 9a707bec07458bda0de8477aadcf968be1ae9c3877ee1221e97c9b8e8913eba1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadialIntegrability
/-!
# Weak radial stationarity identity
This module turns weak stationarity tested against ... |
15,538 | lean_file_chunk | 0d63ee166d97b193e805bb7841d17fe4e611c02347b87fb3ffeda699ceca38a7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.EnergyQuantities
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadialCutoffs
/-!
# Weak radia... |
23,238 | lean_file_chunk | d5b9d8f5d40f5a7ab3238b7949308fb0d4be9380d17c0462cee47e9c38ae88ec | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.MeasureTheory.Constructions.HaarToSphere
import Mathlib.MeasureTheory.VectorMeasure.Decomposition.RadonNikodym
import LeanPool.LeanStationaryHarmonicMaps.Stationar... |
23,994 | lean_file_chunk | ed1a5133f1f945c1450dd88267184ca209d4b27e3a4a6681ec2a5bcdb6afa519 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.MeasureTheory.Integral.IntervalIntegral.DerivIntegrable
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.PrimitiveCutoffs
import LeanPool.LeanStati... |
12,501 | lean_file_chunk | a53635ff2384e28194848d7e89400a8b9f8bfed09eac830a6e20bb4acd54ee50 | lean_source_file | lean_pool_source_file_chunks | radialOpenShell_volume_le_ballVolume_dist
(n := n) (E.2 i).1 (E.2 i).2)
_ =
ENNReal.ofReal
(∑ i ∈ Finset.range E.1,
dist
((volume (Metric.ball (0 : Domain n) (E.2 i).1)).toReal)
((volume (Metric.ball (0 : Domain n) (E.2 i).2)).toReal)) := by
rw [EN... |
23,997 | lean_file_chunk | d624681b42e709c4376bf688d96d6e40a40f241ddf2007b0d3eae404211d1351 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.BallIntegralAC
/-!
# Weak radius formula constructors
This module constructs the weak radius integration and on... |
21,264 | lean_file_chunk | ec6d632e28253fd8d00432eb92b62ed2624287cb04bd1d72b2541a7408cb8c69 | lean_source_file | lean_pool_source_file_chunks | =
- ∫ rho in (0 : ℝ)..R0, deriv F rho * E rho := by
rw [← intervalIntegral.integral_neg]
apply intervalIntegral.integral_congr_ae
filter_upwards with rho _hrho
simp [F, deriv_const_mul_field]
ring_nf
have hinterval :
(∫ rho in (0 : ℝ)..R0, (-deriv phi rho) * (c * E rho))
=
... |
23,999 | lean_file_chunk | 0e86cf840ae86db3d9b5fe110df03b3ada6cf7eee6dd65675003b903044e242b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.MeasureTheory.Integral.IntervalIntegral.AbsolutelyContinuousFun
import Mathlib.Topology.Order.IsLocallyClosed
import LeanPool.LeanStationaryHarmonicMaps.Stationary... |
1,276 | lean_file_chunk | 1a4408cc659a79610ba65177a6c929cc16eaf018c10cb7d7d998dfdd069848df | lean_source_file | lean_pool_source_file_chunks | (Ioo a b).indicator (fun _ : ℝ => (1 : ℝ)) ‖x‖ * f x) := by
rw [← integral_const_mul]
apply setIntegral_congr_fun measurableSet_ball
intro x _hx
by_cases hx : ‖x‖ ∈ Ioo a b
· simp [Set.indicator_of_mem hx]
· simp [Set.indicator_of_notMem hx]
have hright :
(∫ rho in Ioo (0 : ℝ) R0,
... |
23,945 | lean_file_chunk | 20e6bcd099cc0e50c2e88d5f1ea1f5e5d53295b3a20a6a04c6f6e62393c80c6f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusPrimitive
/-!
# Weighted radius derivative formulas
This module upgrades interval-indicator radius deriva... |
10,069 | lean_file_chunk | c05e8398db75fd334c13a9efab84e6ed5d1fa212a41ae90df37412822d071bbb | lean_source_file | lean_pool_source_file_chunks | simpa [cSeq] using (hlim ‖x‖ hxI hxbad).mul_const (f x)
· intro N
have hsum_int :
Integrable
(fun rho : ℝ =>
∑ i ∈ s N,
(Ioo (a N i) (b N i)).indicator (fun _ : ℝ => k N i) rho *
deriv F rho)
(volume.restrict (Ioo (0 : ℝ) R0)) := by
exact... |
9,028 | lean_file_chunk | dfadd85b51bfa28587a34fc00f21e6b1792636fc2f66d7b23f44d724cc8164d3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusPrimitive
/-!
# Weighted radial representation
This module upgrades the simple-function radial Radon-Niko... |
20,475 | lean_file_chunk | c764b41204836e2027ebac5d33cde025c22168126780a35f8b3e05175445f546 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadialMeasure
/-!
# Radius Weights
-/
noncomputable section
open MeasureTheory Set
open scoped Topology BigOpe... |
4,947 | lean_file_chunk | c326b3906d600dcdccc07a193b2defdbac158efded8f29fee33e2ffe259790ed | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.Monotonicity
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.WeakGradientBridge
/-!
# Sobolev b... |
2,994 | lean_file_chunk | 303c36727730400144912085613ad9a4d58ce60fac825005f5fbc1927714e128 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.SobolevBridge
/-!
# Sobolev witnesses
This file is the DGM-style Sobolev witness layer. It bundles a map toget... |
6,945 | lean_file_chunk | 1dca21a77357f7290e4ef941f50b924549ed30960e9fa9a0d96612d86ad380e5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.SobolevBridge
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.FirstVariationBridge
/-!
# Statio... |
2,831 | lean_file_chunk | 2862e2497c55484bd7aa43d7787c6e262822aec46a1a75a671a88b25c8461ae3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.SobolevWitness
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.StationarityBridge
/-!
# Station... |
2,745 | lean_file_chunk | ee8f236242d5cc99597e0c9d4adedf6ec4c14b66da8b1c2d3a600ea26789f1d7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.L2LocBridge
/-!
# Weak-gradient bridge
This module gives the integration-by-parts weak-gradient relation a
dist... |
11,889 | lean_file_chunk | 4a97c5831d9a46ced1e4d4df90aef1dd90d979f38d504be68badbd52778363ac | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadialGeometry
/-!
# Weak Stationarity
-/
noncomputable section
open MeasureTheory Set
open scoped Topology Bi... |
3,265 | lean_file_chunk | a7b23f8c769beadef7d9f44d07d33434efd0832750552477f0201d4bddc2d73f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.Examples.StationaryMonotonicity
import LeanPool.LeanStationaryHarmonicMaps.Examples.UseMainTheorem
import LeanPool.LeanStationaryHarmo... |
3,919 | lean_file_chunk | 0e948755b0018ef86f438bdd6922522946ce5863f6fa8bef2a356fed6679d72c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Defs
import LeanPool.LehmerE10.Mahler
import Mathlib.GroupTheory.OrderOfElement
/-!
# the finite contrast: the E₈ Coxeter element has order 30.
... |
8,604 | lean_file_chunk | a031c78bdf3c14b119990f5917f440b4dd4800a8a88774f018d819c62727bf0c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Kronecker
import Mathlib.RingTheory.Polynomial.Cyclotomic.Eval
import Mathlib.LinearAlgebra.Matrix.Charpoly.Basic
import Mathlib.FieldTheory.Minp... |
2,274 | lean_file_chunk | caf18049c49669ef753f86ec02bed676ba2956361bd086748afc1061a611d48b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import Mathlib.LinearAlgebra.Matrix.Charpoly.Basic
import Mathlib.LinearAlgebra.Matrix.Notation
/-!
# the objects of the claim.
This file is intentionally byte-identical ... |
2,278 | lean_file_chunk | 4c7760565df901d046dec54492c4650c6027d0bc7bc237622e25f05a6fd961e4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Main
import LeanPool.LehmerE10.CyclotomicKill
/-!
# the E₁₀ Coxeter element as an ERGODIC toral automorphism.
A matrix `M ∈ GL(n, ℤ)` acts on th... |
5,889 | lean_file_chunk | 8ef1ada9585f0fec6b12614387aa7547ca8828dbb8ae2360f31556d1964c4c6a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Defs
import Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings
import Mathlib.RingTheory.Polynomial.Cyclotomic.Roots
import Mathlib.Tactic... |
8,122 | lean_file_chunk | 4eddb3f0b79450afacc64c36f1ce4de11f1b778443a82efd51aa574ebfa0a8d8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Main
import Mathlib.Analysis.Polynomial.MahlerMeasure
/-!
# the Mahler measure of Lehmer's polynomial, in Mathlib's own API.
Mathlib now has the... |
23,961 | lean_file_chunk | a06f4ae0f70521a34b74885675dcd895f82d547ba3fd42dc35686d006728ec82 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Defs
import LeanPool.LehmerE10.UnitCircleFactors
import LeanPool.LehmerE10.TraceQuintic
/-!
# the assembly:
`Irreducible lehmerPolynomial` ... |
3,606 | lean_file_chunk | 53e6bc9fe22ffa5260cba359f75d2b18f567f8a24113838877cac4d9103e3010 | lean_source_file | lean_pool_source_file_chunks | rintro rfl; rw [mul_zero] at hab; exact lehmerPolynomial_monic.ne_zero hab
have hdeg : a.natDegree + b.natDegree = 10 := by
rw [← Polynomial.natDegree_mul ha0 hb0, ← hab, lehmerPolynomial_natDegree]
have hlc : a.leadingCoeff * b.leadingCoeff = 1 := by
rw [← Polynomial.leadingCoeff_mul, ← hab]
... |
2,010 | lean_file_chunk | 7e73565eb2770053f5b97df1e5fa47e7be1305f1cbc1ff43a79a2f5f69b9e713 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Defs
import LeanPool.LehmerE10.Main
/-!
# unimodularity and the reciprocal (Salem-pair) symmetry.
Two small facts, downstream of `main_theorem`,... |
5,252 | lean_file_chunk | dc60824af9b8afad63382e3b52b13a2757d29d7756a3b4b04bc9adf9fef4be03 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import Mathlib.Analysis.SpecialFunctions.Complex.Circle
import Mathlib.Topology.Order.IntermediateValue
import Mathlib.Topology.Algebra.Polynomial
/-!
# locating the root... |
6,490 | lean_file_chunk | fb40c592925f68f70598ff19cdfa3cfd7f8b3a1b98cdbcd7852cd289dd8b0fbf | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.CyclotomicKill
import Mathlib.Analysis.SpecialFunctions.Complex.Circle
/-!
# no factor of Lehmer's polynomial lives on the unit circle.
Contents... |
1,180 | lean_file_chunk | b2d4f9d3a3981c211677ce83fe5c56946d56ba69651ec613beb24251e4e1cb24 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Dillon Ryan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dillon Ryan
-/
import LeanPool.LehmerE10.Defs
import LeanPool.LehmerE10.Main
/-!
# Lehmer's Polynomial and the E10 Coxeter Element
Source: url:https://github.com/dillon-11/lehmer-E10
A... |
21,301 | lean_file_chunk | 0c946b5086840ece83c74bea91c5ae69bbc440ff3cc099f2de53d1d48aa5f0bb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import Batteries.Util.ExtendedBinder
import LeanPool.Lentil.Util
import LeanPool.Lentil.Foldable
open Lean LentilLib
/-! ## A Shallow-Embedding of TLA -/
nam... |
1,817 | lean_file_chunk | 3084108e3a64db188a5fe94ad5f48f5c1aebc4bd46fe2658bae820cc17b417b0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Basic
namespace TLA.Expr
open Lean Meta
/-- Split a TLA conjunction `Expr` into its list of conjuncts. -/
def splitAndIntoParts (p : E... |
1,602 | lean_file_chunk | a0c8f103e500bca88440e6c110d47e5cceb12f48497dda45b309bf6e688d981c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
/-! ## A `Foldable` typeclass for big operators
A small typeclass abstracting collections that can be folded with a
commutative-associative operation, used to... |
6,015 | lean_file_chunk | 46f4c406b0026439737f088f3ebb1a2f2b64a30a12de5f867ae564b3f725b568 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Rules.Basic
import LeanPool.Lentil.Expr
/-! Gadgets for providing different variants of a proven theorem. -/
namespace TLA.Deriving
op... |
10,807 | lean_file_chunk | c48324970ef2fc3e1a35437a2b9e30310c7d0dbf432e54fd57846abab99cde09 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Basic
/-! Gadgets for lifting a propositional theorem to the level of temporal logic. -/
namespace TLA.Lifting
open Lean Meta Core Ela... |
8,293 | lean_file_chunk | a81b318a6285ddea887dc593dd91e7f44c56e3c3ad6c3cca727b40c557df39ad | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.BigOp
namespace TLA.ProofMode
open TLA LentilLib
/-- A named proof-mode hypothesis. -/
structure NamedPred (σ : Type u) where
/-- The hypo... |
2,799 | lean_file_chunk | dbb8c7ca7dde43e8235e1bd62eb5c833a7991e22c01843d977bf7a85315377fe | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
open Lean
namespace TLA.ProofMode
/-- Display syntax for a single proof-mode hypothesis. -/
syntax tlaPmHyp := ident " : " tlafml
... |
4,577 | lean_file_chunk | 018c596de454b5ad326818564625eaf3ca5d6b4dc7f70cc2e8dfa05a69830457 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
/-- Syntax for referring to a proof-mode hypothesis by name or index. -/
syntax... |
5,112 | lean_file_chunk | 04ed0c1b1eb2d461c30829848c0c87ef94778400c9c1f0d5533b57e93ba27e7b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Have
import LeanPool.Lentil.Expr
namespace TLA.ProofMode
open Lean Meta Elab Tactic LentilLib
theorem Entails_trans {σ : Type u}... |
2,005 | lean_file_chunk | a17058638ed59824488eda240367e0897bc9ff7ddaadbf7b7b2f8bed90b833b0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
theorem Entails_assumption {σ : Type u} {hyps : List (NamedPred σ)} {goal : pre... |
3,401 | lean_file_chunk | 43c13e8a1e3993feb4a4271952db9d1ccdb8543307f3f601823ffe5a046bca0d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
-- CHECK Does this also appear somewhere else?
private def parseCanonicalEntail... |
2,725 | lean_file_chunk | 20964d865c598bf070492f0ec1ceb037886ea30a383bef1849993e40ff375d5d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
theorem Entails_drop_hyps {σ : Type u} {hyps : List (NamedPred σ)} {goal : pred... |
10,812 | lean_file_chunk | dffc5cb7c45caca4b73e100e29d55228b51a784d2094cb3d508fda3f83ab5577 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean.Meta.Tactic.Generalize
import Lean.Meta.CollectFVars
import Lean.Elab.Tactic.Config
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean M... |
2,560 | lean_file_chunk | 5cb11ce7af533c4432f1e8622ae14419846e05cd93b38890b2e4a3b050b3a44b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Revert
import LeanPool.Lentil.ProofMode.Tactics.Specialize
namespace TLA.ProofMode
open Lean Meta Elab Tactic
section
variable ... |
1,013 | lean_file_chunk | af6674f2e0d4b209c053ce87fd7c99a6b7a85900665ca6b348c23eb8123fc863 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
theorem Entails_exists {σ : Type u} {hyps : List (NamedPred σ)}
{α : Sort v... |
2,204 | lean_file_chunk | 096536f72224e2f4748d11d990ecb4803067f299d9dfeae9f1106172a3ff1716 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
-- FIXME: Replace this with `foldrDM`
/-- Build the right-associative `tlaAnd` ... |
11,931 | lean_file_chunk | 71cc44bf2203f22038264e3db17aded6a48059b4e34e75fa2544c3050ab9eef7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Clear
import LeanPool.Lentil.ProofMode.Tactics.Specialize
import LeanPool.Lentil.Expr
namespace TLA.ProofMode
open Lean Meta Elab... |
3,710 | lean_file_chunk | 34af123c86581bb678788e49dfd08eb70e5c0794cedad332a2c78bfc69f26461 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.Basic
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
theorem Entails_intro_forall {σ : Type u} {h... |
993 | lean_file_chunk | 491528ae28aaa04b11290d95b3f68eea59e0c1fb30196d0bb22fe2e3a9b16cac | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
section
variable {σ : Type u} {hyps : List (NamedPred σ)} {a b : pred σ}
-- N... |
2,788 | lean_file_chunk | 61a24c92960875754c40dab41ce48430f01062c3c6db88ec2d10fe36b73e94f6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Monotone
namespace TLA.ProofMode
open Lean Meta Elab Tactic
section
variable {σ : Type u} {hyps : List (NamedPred σ)} {goal : p... |
6,503 | lean_file_chunk | b1e8132cad11a1fe46a389d658d32ab4d646097928b37791dbdf820d4224b2f9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
import LeanPool.Lentil.Rules.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
/-- Map a function over the predicates of a ... |
971 | lean_file_chunk | d322587c4cc039ee1fb86cc044ab9be655377f278f3d5bc841d2548afd4d33f1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
attribute [tlanormsimp ↓] TLA.impl_intro TLA.valid_eq_true_implies TLA.impl_int... |
2,508 | lean_file_chunk | 521cba87025123ed8c73afac82af04bf8a6af18b68c4b8e9c5dbcdae2e5a1afe | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
import LeanPool.Lentil.ProofMode.Tactics.Intro
import LeanPool.Lentil.ProofMode.Tactics.Revert
namespace TLA.ProofMode
open Lean Me... |
18,361 | lean_file_chunk | e9b6caa02e5d04c318dd72458508ac66a5d86f89ba7a84c6a8894bdd3d9ee2fd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Have
import LeanPool.Lentil.ProofMode.Tactics.Clear
import LeanPool.Lentil.ProofMode.Tactics.Rename
import LeanPool.Lentil.ProofMod... |
3,130 | lean_file_chunk | 0055ba71c9e9829f510a8bde0b02e843a54610dbbe94d92c3cec22c963d20c80 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Location
namespace TLA.ProofMode
open Lean Meta Elab Tactic
local macro "renameFun" : term => `((fun ⟨_, pred⟩ => ⟨$(mkIdent `newName), ... |
5,502 | lean_file_chunk | e4f278e61d18b9cf379cea22042cb846bef7121d102a6ca1b947ffcea5f1d3bd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Intro
namespace TLA.ProofMode
open Lean Meta Elab Tactic
-- NOTE: The following approach to restoring binder names is inspired b... |
9,376 | lean_file_chunk | 09273c57f6498ae10dd6280df553e1b988108e5fff7892e53f589f054faa2ecd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Location
namespace TLA.ProofMode
open Lean Meta Elab Tactic LentilLib
open Lean.Parser.Tactic
/-
Design notes.
`tla_rewrite` operates o... |
3,112 | lean_file_chunk | 55cf7d3fb7ece114b409d62a5158354f406f5008344c8499284d6db5f81b7c8d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Location
namespace TLA.ProofMode
open Lean Meta Elab Tactic
open Lean.Parser.Tactic
/-
`tla_simp` and `tla_dsimp` are implemented direct... |
12,706 | lean_file_chunk | 6917bf237f2d52adf2403b54bb9219d8cda75c90e56a47529151aaa61d5193e1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Rename
namespace TLA.ProofMode
open Lean Meta Elab Tactic LentilLib
/-
Design note: `tla_specialize` should be the shared specia... |
757 | lean_file_chunk | 112c58455d32bdb15ac22b44ddaa1ec16ad488e1530d0cc63f6fe2d164e2f126 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
namespace TLA.ProofMode
open Lean Meta Elab Tactic
theorem Entails_and_split {σ : Type u} {hyps : List (NamedPred σ)} {g1 g2 : pre... |
2,197 | lean_file_chunk | 841d488755bca85f1e86ee9095294f6058a71986e726fdfdf72a39e1f1329974 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Basic
import LeanPool.Lentil.Expr
namespace TLA.ProofMode
open Lean Meta Elab Tactic
private def sequentOpt (e : Expr) : Option (Expr × ... |
2,846 | lean_file_chunk | 7fd7dc0cb50904f7aed7374b5ae31d784a55b8e8a83cc0ca57942b8065ea8bba | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.ProofMode.Tactics.Apply
import LeanPool.Lentil.ProofMode.Tactics.Assumption
import LeanPool.Lentil.ProofMode.Tactics.CheckGoalForm
import LeanPool.Le... |
12,267 | lean_file_chunk | 14155a4797ee188a63db7f0e23a557d4f2acf489b4831e4767d79135a2c5974c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Basic
import LeanPool.Lentil.Tactics.Basic
import LeanPool.Lentil.Gadgets.TheoremLifting
/-! Basic theorems about TLA. -/
open Classical LentilLib
... |
3,516 | lean_file_chunk | 341f08b61f3fb1a5faf73baafdf8dec46bcce4f0734a375a313e449385f41f36 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.Basic
/-! Theorems about big operators (e.g., `⋀`, `⋁`). -/
open Classical LentilLib
namespace TLA
section bigop
variable {α : Type u} {β ... |
2,104 | lean_file_chunk | dcabc79b3f6bf2e8056e96a3acf4e1fa375ca1f81d290c88df9454df555e9347 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Rules.Basic
import LeanPool.Lentil.Gadgets.TheoremDeriving
/-! Theorems about the leads-to operator. -/
open Classical
namespace TLA
... |
1,182 | lean_file_chunk | 8eda72edcd792d029e8e4f62046a3221cafbe37681a29caa30315185b8181f71 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.WF
import LeanPool.Lentil.Tactics.FiniteWindow
/-! Theorems specialized for state predicates.
Their premises are typically pure Lean propo... |
2,835 | lean_file_chunk | d5779272461b6ea17e2dbf2bb66af404d26ef382d3ee9fb5ec2e957c4e0c704e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.Basic
import LeanPool.Lentil.Gadgets.TheoremDeriving
import LeanPool.Lentil.ProofMode.Tactics
import LeanPool.Lentil.ProofMode.Display
/-! The... |
2,295 | lean_file_chunk | c479934baa1190430a6b07068c7d72e256c6ce2e68e4b8d8bbdeae3d54b41bc4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Aesop
import Batteries.Tactic.Basic
import LeanPool.Lentil.Basic
open Lean Meta Elab Tactic
namespace TLA
/-- Try to unfold the given identifiers everywhere. -/
s... |
20,460 | lean_file_chunk | fd196f11119bdf1cf8143b322f4502cb1eba8820e46041ad0f70c93ab73ce07d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Tactics.Basic
open Lean
namespace TLA
/-!
This file implements a finite-window reduction for local TLA obligations.
The older `simp_f... |
1,470 | lean_file_chunk | fc337cf3072f37ecb5a11da71bbf19c4fd726530b633c3a42bb23ffa0afc9b4a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
import LeanPool.Lentil.Utils.MetaUtil
import LeanPool.Lentil.Utils.SyntaxUtil
import LeanPool.Lentil.Utils.MiscLemmas
open Lean
/-- Whether to use the custom ... |
2,789 | lean_file_chunk | c7ac809d9430b5ff5d80dd61383493732797d5c46bc1f8457c86a7c77b592bf2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
open Lean Meta Elab Tactic
namespace LentilLib
/-- Add a single theorem to the environment by providing its name, type and proof. -/
def simpleAddTheorem (na... |
3,920 | lean_file_chunk | 9b81c6e793c6fc8bddd09f23cb8066b4fcef4bf9bb88e1034f44426f87ceda26 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
namespace LentilLib
theorem forall_unit {p : PUnit → Prop} : (∀ x, p x) ↔ p PUnit.unit := by grind
theorem exists_unit {p : PUnit → Prop} : (∃ x, p x) ↔ p PU... |
539 | lean_file_chunk | 6d2299215842821a6ceaef999da8ce5127cdb729492ae8e22543a7db4071c1a6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import Lean
open Lean
namespace LentilLib
/-- Convert a `binderIdent` into a function binder. -/
def binderIdentToFunBinder (stx : TSyntax ``binderIdent) : MacroM (TSynt... |
1,341 | lean_file_chunk | 765dc887e7920dd2e794503c7317b9799f034c3d611fa1e8d517b2ec98cd8948 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Qiyuan Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Qiyuan Zhao
-/
import LeanPool.Lentil.Rules.Basic
import LeanPool.Lentil.Rules.BigOp
import LeanPool.Lentil.Rules.LeadsTo
import LeanPool.Lentil.Rules.StatePred
import LeanPool.Lentil.Rul... |
2,284 | lean_file_chunk | 12b0d0f6956fc598d2dd8c85c52aff41468b7be0f9c83e4b074f9f1d0046aa39 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.LinearAlgebra.FiniteDimensional.Basic
import Mathlib.LinearAlgebra.LinearIndependent.Basic
import M... |
8,066 | lean_file_chunk | 65a0e944abbe02870a5f9298122e16817537bec749e80e3c4b4e935b14c3b13d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.LinearAlgebra.FiniteDimensional.Basic
import Mathlib.LinearAlgebra.LinearIndependent.Basic
import M... |
23,991 | lean_file_chunk | 3e66a219c041e453180f180eba2658cf9329142fd8a8d53c16211afaa5661ceb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Semisimple.Defs
import Mathlib.Algebra.Lie.Solvable
import Mathlib.Algebra.Lie.Quotient... |
5,791 | lean_file_chunk | f5bdb4ff2818e3dff298281704f7640dc627f6e5d7374d16539db48c9618a647 | lean_source_file | lean_pool_source_file_chunks | constructor
exact {
toFun := fun l => ![γ * l 0, l 1, γ * l 2]
map_add' := by
intro x y
let x' : Fin 3 → K := x
let y' : Fin 3 → K := y
change (![γ * (x' + y') 0, (x' + y') 1, γ * (x' + y') 2] : Fin 3 → K) =
(![γ * x' 0, x' 1, γ * x' 2] : Fin 3 → K) +
... |
23,967 | lean_file_chunk | 712a767b4441df94c95407d767ff6ed30a5994a57053b33365a794fee23d8046 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.LinearAlgebra.LinearIndependent.Basic
import Mathlib.LinearAlgebra.FiniteDimensional.Basic
import M... |
14,511 | lean_file_chunk | 13790897061b9897fb4636cd59e784e36a213b997650b0e791b120774561fd38 | lean_source_file | lean_pool_source_file_chunks | (issolvable : LieAlgebra.IsSolvable L) :
Module.finrank K (LieAlgebra.commutator K L) ≤ n := by
have : Nontrivial L := Module.nontrivial_of_finrank_eq_succ dimn
have s : LieAlgebra.commutator K L < ⊤ := by
apply LieAlgebra.derivedSeries_lt_top_of_solvable K L
have FD : FiniteDimensional K (⊤ : LieIdeal K L... |
5,953 | lean_file_chunk | 6f110c25d1c106a5dc7b16ec4b9f1686f85e2d7783c58b780ddd161171eec2f5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Basic
import Mathlib.Algebra.Lie.Abelian
import Mathlib.Algebra.Lie.OfAssociative
impor... |
23,969 | lean_file_chunk | 4c474df4ca2df654353951c0173ff932a5968efc8ce823812d0218f03429bc8f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Basic
import Mathlib.Algebra.Lie.Abelian
import Mathlib.LinearAlgebra.AffineSpace.Affin... |
23,312 | lean_file_chunk | 5382e1e64b80d9939190f762a1d6381d71404e3d37439dee35425d3ab91e08c8 | lean_source_file | lean_pool_source_file_chunks | rw [finrank_eq_card_basis commutatorBasis, Fintype.card_fin]
/-- TODO. -/
def _root_.LieAlgebra.Dim3.Hyperbolic.adjoint (x : Hyperbolic K) := ad K (Hyperbolic K) x
/-- TODO. -/
def _root_.LieAlgebra.Dim3.Hyperbolic.ade₁ := adjoint (e₁ : Hyperbolic K)
theorem _root_.LieAlgebra.Dim3.Hyperbolic.ad_preserves_commutator ... |
23,998 | lean_file_chunk | 246bb9ec3a0c523d306497d9e6a82e94708a427158be8a0d3fc1b034af90c5e5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Semisimple.Defs
import Mathlib.Algebra.Lie.Solvable
import Mathlib.Algebra.Lie.Quotient... |
23,987 | lean_file_chunk | 167b9ef90b9690bed425ed8cad765c6076e32ab93817e2a329fce350772564fa | lean_source_file | lean_pool_source_file_chunks | ucomm⟩) 0 + (B.repr ⟨v, vcomm⟩) 1) • B 1)) := by rw [Bn21]
_ = ( (((B.repr ⟨u, ucomm⟩) 0 + (B.repr ⟨v, vcomm⟩) 1))) • B 1 + (-(((B.repr ⟨u,
ucomm⟩) 0 + (B.repr ⟨v, vcomm⟩) 1)) • B 1) := by module
_ = (( (((B.repr ⟨u, ucomm⟩) 0 + (B.repr ⟨v, vcomm⟩) 1))) + (-(((B.repr ⟨u,
ucomm⟩) 0 ... |
5,715 | lean_file_chunk | 7183f8a429a613404fff724fe8c2bd1f2e5346ea289d1de84ac1461313e155be | lean_source_file | lean_pool_source_file_chunks | rw [Set.mem_ofPred_eq]
use α⁻¹ • B 0
use B 2 - β • B 1
simp_all only [Fin.isValue, ne_eq, lie_sub, smul_lie, smul_add, not_false_eq_true,
inv_smul_smul₀, lie_smul]
rw [smul_comm]
simp
have h2 : B 2 ∈ {x | ∃ (y z:L), ⁅y, z⁆ = x} :=by
rw [Set.mem_ofPred_eq... |
2,247 | lean_file_chunk | a53167e7b20f6be411a31dd3e53140eb2f1c9f794dafe7dd670d77f2c382e854 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Solvable
import Mathlib.Algebra.Lie.Quotient
import Mathlib.Algebra.Lie.Nilpotent
/-!
... |
11,471 | lean_file_chunk | 0fc70675813efc343bf22fe99633dd40c6ca730e18cec041e2a39a2bbe6a7991 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import Mathlib.Algebra.Lie.Derivation.Basic
import LeanPool.LowDimSolvClassification.GeneralResults
import LeanPoo... |
23,964 | lean_file_chunk | 435cc936cde54eec8bcf9b24f8bf3999bb3ce3213ce2970bb7936d9812878f11 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Heather Macbeth, the LieLean team
-/
import Lean.Meta.Tactic.NormCast
import Mathlib.Algebra.Algebra.Tower
import Mathlib.Algebra.BigOperators.GroupWithZero.Action
im... |
107 | lean_file_chunk | e40106749cbad756ec5d983cbc3082325a5198da55c8b42e00d078195ab8bf11 | lean_source_file | lean_pool_source_file_chunks | theorem lie_solver3_example' (v₁ v₂ : L) :
4 • ⁅ v₁ , v₂ ⁆ + 4 • ⁅ v₂ , v₁ ⁆
= 0 := by
simplify_lie |
1,873 | lean_file_chunk | a39d28ef8b956249bee9b9e812651241ea10f13212c35cd6feff54b381ce9c57 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 the LieLean team. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Viviana del Barco, Gustavo Infanti, Exequiel Rivas, Paul Schwahn
-/
import LeanPool.LowDimSolvClassification.Classification1
import LeanPool.LowDimSolvClassification.Classification2... |
5,133 | lean_file_chunk | 05647adfcddba03c7a4cf4ba060d08387aa123e9ac8f48c1db829cf5378769f7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Julius Marx. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julius Marx
-/
import LeanPool.MRiscX.AbstractSyntax.Map
import LeanPool.MRiscX.AbstractSyntax.Instr
import LeanPool.MRiscX.Parser.AssemblySyntax
import Lean
/-!
# AbstractSyntax
This m... |
7,649 | lean_file_chunk | ac74d44faffec267b57a7a682e13a64e78be3c4f529de45de6e8aac946a8336c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Julius Marx. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julius Marx
-/
/--
Definition of the Instructions.
-/
inductive Instr : Type where
/--
Load an address into a register
Syntax:
`la x dst, m`
where `(dst m : UInt64)`.... |
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