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 |
|---|---|---|---|---|---|
4,583 | lean_file_chunk | a975eb7be41a20cb0838677dbb7cabde0fc2e2df20debc82132bf60575daa159 | 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.ProbabilityMassFunction.Basic
import Mathlib.MeasureTheory.MeasurableSpace.Instances
import Mathlib.MeasureTheory.Measure.ProbabilityMeas... |
319 | lean_file_chunk | 73334e5f394b49c20713a88c19e25368a45caaa3d513946cbc1e12b79fe0ca48 | 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.MarkovChain.Finite.Defs
/-!
# Finite
Import-only index for the `Finite` directory of the RL-theory-in-Lean import.
-/ |
2,918 | lean_file_chunk | 19e51328af4cd4a52f7c790594d6505ca640c3d08442529b6c85ed175c4a5ff3 | 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... |
450 | lean_file_chunk | 262180cb82c689d8894f37d058d0208d42eff45b6d361de163d2475560fb3de6 | 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.MarkovChain.Defs
import LeanPool.RlTheoryInLean.Probability.MarkovChain.Finite
import LeanPool.RlTheoryInLean.Probabilit... |
367 | lean_file_chunk | 94caedc5bf37e1255b32c0d6efee76f63aa488d9311737a4121759f1d178b1aa | 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
import LeanPool.RlTheoryInLean.Probability.MarkovChain
/-!
# Probability
Import-only index for the `Probability... |
4,221 | lean_file_chunk | 9aff633d76cd9bc2fc1232f9f9f7cdb5e484aaa20c1cfba6ac29d37e9ef58174 | 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.Defs
/-!
# LeanPool.RlTheoryInLean.StochasticApproximation.DiscreteGronwall
-/
open Real Finset
namespace StochasticApproximation
... |
334 | lean_file_chunk | e3e3858ec3524ada5cd9f919b7b036aa93f2ef6392fb4dd81823cbf7cc58e209 | 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.StochasticApproximation.DiscreteGronwall
/-!
# StochasticApproximation
Discrete Gronwall inequalities from the stochastic-approxim... |
3,833 | lean_file_chunk | 8209a3cc4fe5f2c1c408d0cebfd630a5b0df70d078030ca545cc4d7355c0958b | 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
import LeanPool.RlTheoryInLean.Data
import LeanPool.RlTheoryInLean.Defs
import LeanPool.RlTheoryInLean.MeasureTheory
import... |
15,751 | lean_file_chunk | 9c06c148c2a76f0447d4833c1b79badbc171fa17ea1d4acfbd830facd829eed9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Antoine de Saint Germain, Ambrose Tang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine de Saint Germain, Ambrose Tang
-/
import Mathlib.Order.Interval.Finset.Fin
import Mathlib.LinearAlgebra.RootSystem.Defs
import Mathlib.Tactic.Ext
impor... |
11,660 | lean_file_chunk | 29e634180cbc29fee1c8612f4107fa14a153934642b048b0be2a88d21c8a252f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Antoine de Saint Germain, Ambrose Tang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine de Saint Germain, Ambrose Tang
-/
import Mathlib.LinearAlgebra.RootSystem.OfBilinear
import Mathlib.Tactic.Ext
import Mathlib.Tactic.NormNum
import Mat... |
1,716 | lean_file_chunk | c65bab3dbb4178205f785cdcb2b4d9f59d030d37dcb42870269315f93648ef71 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Antoine de Saint Germain, Ambrose Tang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine de Saint Germain, Ambrose Tang
-/
import LeanPool.RootSystem.An
import LeanPool.RootSystem.BCn
/-!
# Explicit type Aₙ and BCₙ root pairings
Source: d... |
23,997 | lean_file_chunk | e21c6401328627110a680c5f98ae9c3e0f8044cd14e3f2763bb2717496899490 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Carles Marín. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Carles Marín
-/
import Mathlib.Data.Rat.Defs
import Mathlib.Data.List.Basic
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.Ring
/-!
# Certified Rung... |
20,673 | lean_file_chunk | f5c18af4187e7429708db4e34000dd9c2dcb7ca3b6497aff31e84e21f9888a0c | lean_source_file | lean_pool_source_file_chunks | butcherCheck
private theorem dpCondition07 : orderCond dpA dpB t42 := by
butcherCheck
private theorem dpCondition08 :
orderCond dpA dpB (.node [leaf, .node [leaf], leaf]) := by
butcherCheck
private theorem dpCondition09 :
orderCond dpA dpB (.node [leaf, .node [leaf, leaf]]) := by
butcherCheck
private ... |
497 | lean_file_chunk | 4310d4355cbf13e174daae318819d15850a679db29e05ef55252a48330e26c43 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Carles Marín. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Carles Marín
-/
import LeanPool.RungeKuttaOrderConditions.ButcherOrder
/-!
# Certified Runge-Kutta Order Conditions
Source: doi:10.5281/zenodo.20787666
Authors: Carles Marín
Status: v... |
1,826 | lean_file_chunk | 798eec9b1e9d7b7d3fb96b077702ee7dddb84b6f3709d077923e570bdda26dfd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Geometry.Euclidean.Projection
/-!
# LeanPool.Rupert.Affine
Imported Lean Pool material for `LeanPool.Rupert.Affine`.
-/
/-- The Rupert Property for a... |
480 | lean_file_chunk | 9f53f96dddcacd2a1c5063461799b10fa8a745f463c00edc7f2659e7c5acf69a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Init
import Lean.Meta.Tactic.Simp.SimpTheorems
import Lean.Meta.Tactic.Simp.RegisterCommand
import Lean.LabelAttribute
/-!
# LeanPool.Rupert.Attr
Impo... |
1,860 | lean_file_chunk | 7f85cd0e44556ffaec236513f87a0654d745c20d4170bae8f8de7d6b846c1401 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
/-!
# LeanPool.Rupert.Basic
Imported Lean Pool material for `LeanPool.Rupert.Basic`.
-/
open scoped Matrix
/-- Three... |
5,191 | lean_file_chunk | bdbef8d0ea9d2f991fffd78b19c05ca47a71574490cf51117b281b36e0d246f0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.Algebra.Order.Star.Real
/-!
# LeanPool.Rupert.Convex
Imported Lean Pool material for `LeanPool.Rupert.C... |
20,347 | lean_file_chunk | 2947576b7aaf41a626c87a38338cb185cb3fbf709b4f3864f0763e370b53cfdd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.Quaternion
import LeanPool.Rupert.MatrixSimps
import LeanPool.Rupert.Equivalences.Rup... |
522 | lean_file_chunk | b78805c72cc74eab4f389a525c21a61048da50cdb9e11315d5418aa4bc8e64da | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Set
import LeanPool.Rupert.Affine
/-!
# LeanPool.Rupert.Equivalences.AffineRupertEquivRupertSet
Imported Lean Poo... |
3,375 | lean_file_chunk | b0b07f856d5316f48d272b486797f94bf9515544bead256f2bbc1ab5b41a878c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Equivalences.Util
/-!
# LeanPool.Rupert.Equivalences.RupertEquivRupertPrime
Imported Lean Pool material for `LeanPool.Rupert.Equivalences.Rupe... |
1,725 | lean_file_chunk | 0e79ac8acfe619238af5ee1f7235e365e9b7c0d9991eff511b039d346dbbff8f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Equivalences.Util
/-!
# LeanPool.Rupert.Equivalences.RupertEquivRupertSet
Imported Lean Pool material for `LeanPool.Rupert.Equivalences.Rupert... |
1,436 | lean_file_chunk | 3439f1cc393d4056da1cdb6b6b04d17c8ffaddea6d0bb4b6a9a66af64398ae99 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Algebra.Order.Archimedean.Real.Hom
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Set
/-!
# LeanPool.Rupert.Equivalences.Util
Imported Lean Pool ... |
993 | lean_file_chunk | 98d94dc92b8a8b46e7cde279474c786330c15101535e3da011b4866fb2cf8386 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Data.Fin.VecNotation
import Mathlib.Data.Fintype.Basic
import Mathlib.Tactic.FinCases
/-!
# LeanPool.Rupert.FinCases
Imported Lean Pool material for `... |
930 | lean_file_chunk | cf2b8c6a7df54af52e8c9d6b40e757e55d1a54ac19de05e1ba9537f7e56c0ab2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.NumberTheory.Real.GoldenRatio
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.MatrixSimps
import LeanPool.Rupert.Quate... |
1,143 | lean_file_chunk | b1afd3103853a033f2bde93efb8640c5ad352c45930568a8cf92928531e6cd0a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import LeanPool.Rupert.Attr
/-!
# LeanPool.Rupert.MatrixSimps
Imported Lean Pool material for `LeanPool.Rupert.MatrixS... |
7,921 | lean_file_chunk | 98e16af8f94b821d151451f6bfc8f25fc98350a744fdcec932e44684c44445d7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import Mathlib.Algebra.Lie.OfAssociative
import Mathlib.Algebra.Quaternion
import Mathlib.LinearAlgebra.CrossProduct
import LeanPool.Rupert.Basic
/-!
# LeanPool.Ruper... |
1,296 | lean_file_chunk | 62f1d08191f6b6d2070910ead22967079cc7088351945173dd662ab72d9acc6b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
/-!
# LeanPool.Rupert.Set
Imported Lean Pool material for `LeanPool.Rupert.Set`.
-/
open scoped Matrix
/-- The Rupert Property for a p... |
1,521 | lean_file_chunk | 5fe6d33f4206c4113a7b70bf4a1153a41cfef7926047734998dedce0e3e0e353 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
/-!
# LeanPool.Rupert.SnubCube
Imported Lean Pool material for `LeanPool.Rupert.SnubCube`.
-/
namespace SnubCube
/-- Real cube root, w... |
8,493 | lean_file_chunk | 891be587ac52f628fb90f3d9532ef5bfc716ef77b360a531fabba00940b7c229 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.Equivalences.RupertEquivRupertPrime
/-!
# LeanPool.Rupert.Square
Imported Lean Pool... |
4,804 | lean_file_chunk | 775d57ffe89e646e596e1d682a39dc692fdf748ace99b5f64af1ed965299f514 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.MatrixSimps
import LeanPool.Rupert.Quaternion
import LeanPool.Rupert.Equivalences.Rup... |
7,870 | lean_file_chunk | 47bbc8f3d5744dc131f01ab80c959cca0cd118dee47a0a97fedd970512219afd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.FinCases
import LeanPool.Rupert.MatrixSimps
import LeanPool.Rupert.Quaternion
import ... |
1,072 | lean_file_chunk | d582e4d60f3a423bc300c029d7e699522dc5b47fadd4540a51d7a13a49bd3d47 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import LeanPool.Rupert.Affine
import LeanPool.Rupert.Attr
import LeanPool.Rupert.Basic
import LeanPool.Rupert.Convex
import LeanPool.Rupert.Cube
import LeanPool.Rupert... |
5,584 | lean_file_chunk | b3c8202cfda97d711f3d02995f55f58a707280d102caeadca3af09c1564eb984 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import Mathlib.Algebra.BigOperators.Fin
import Mathlib.Algebra.Field.ZMod
import Mathlib.Data.ZMod.Basic
import Mathlib.Tactic.Abel
import Mathlib.Tactic.FinCases
i... |
23,984 | lean_file_chunk | 486c740d733a131bb0315c1c11b2d49aed979293ef2a9273ab5b5f9af3d67f92 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.LocalPattern
import LeanPool.Sabidussi.OddBalance
import LeanPool.Sabidussi.Parity
import Mathlib.Data.Finset.Sort
import Mathlib.Logic.Eq... |
877 | lean_file_chunk | 33fc84799ebb905ac25b239593b766afb2d4a91c458fcfa6996df5117770c309 | lean_source_file | lean_pool_source_file_chunks | color_even := ?_ }⟩
· intro i hxeq
apply W.chosenDifference_ne_zero hmin choice i
calc
y i = x (W.prev i) + x i := (W.prefixColor_transition y htotal i).symm
_ = 0 := by rw [hxeq, color_add_self]
· intro v z
let f : W.Occurrence v × Fin 2 → Color :=
fun os ↦ W.incidentColor x os.1 os.2... |
3,294 | lean_file_chunk | 30911f6a77a7706a75fb5c56d8edc27becf5e9964b7809eddbfab8c5a70a7acd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.Color
/-!
# Local difference patterns
For every number `n + 2` of transition occurrences we construct three admissible local patterns.
T... |
5,344 | lean_file_chunk | ae6c9df579347dcff768bb9be7867a87813c7b6b5b01739ad44c1a4c6632d417 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.LoopMultigraph
import LeanPool.Sabidussi.CyclicWord
/-!
# From a cyclic word back to a loop-capable endpoint multigraph
The letters are ... |
13,225 | lean_file_chunk | 5ff57fc47058d4fcb73516dc94bd1f5e911d083da094a87ece3c90b02c3074a6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.Color
import LeanPool.Sabidussi.Statement
import Mathlib.Data.Fin.Rev
import Mathlib.Logic.Equiv.Fin.Rotate
import Mathlib.Data.Finset.Car... |
21,499 | lean_file_chunk | 88ccdf2c3a8966b670c6c6b4ea3bc56fbce983dc38bf7bb210e3cc64c4ec29ec | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import Mathlib.Algebra.BigOperators.Ring.Finset
import Mathlib.Data.ZMod.Basic
import Mathlib.Logic.Equiv.Prod
/-!
# The odd balancing theorem
This file proves th... |
18,250 | lean_file_chunk | bc3e271aa14a4570806caa7c2ceae6322133e70392cb50242c54966448613937 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.LoopGraphBridge
import Mathlib.LinearAlgebra.Dimension.Constructions
import Mathlib.LinearAlgebra.FiniteDimensional.Lemmas
import Mathlib.... |
5,214 | lean_file_chunk | 43db46ac301b007fe7617c3ab53914ed03804e7a725d7bc575673c97e13a19f8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.Color
/-!
# Parity algebra for the four-colour argument
This file records the two finite characteristic-two calculations used after the ... |
4,931 | lean_file_chunk | efd6609744986169a51637495450f8b29074016cc2b315800b332cf25a70f77a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import Mathlib.Data.Fin.Rev
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Fintype.Card
import Mathlib.Data.Fintype.Prod
import... |
898 | lean_file_chunk | 704d739a3f299de9a0d6e60b0f08267634f48f72e5e519374ec43b22c3f8b791 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nikolay Ulyanov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolay Ulyanov
-/
import LeanPool.Sabidussi.Color
import LeanPool.Sabidussi.CyclicWord
import LeanPool.Sabidussi.LocalPattern
import LeanPool.Sabidussi.LoopGraphBridge
import LeanPo... |
23,349 | lean_file_chunk | fdb194145f5c8b3c9f1adfff0360bbd018dc0831bb3c84e9c9794e70ee72884e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.FDeriv.Comp
import Mathlib.Analysis.Calculus.Implicit
import Mathlib.Analysis.LocallyConvex.HahnBanach
import Mathlib.Analys... |
13,297 | lean_file_chunk | e6d2185f4cc049666e61c6f663175f0f5fd0ee3a91653d319ed63ee937402ffd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Measure.Hausdorff
import LeanPool.SardMoreira.Chart
/-!
# LeanPool.SardMoreira.ChartEstimates
-/
open scoped unitInterval Topo... |
12,628 | lean_file_chunk | 06857fa4c15fdf1aa455bf25c1463cdc0ecdf67603d43cc69ff47ea7d28d90ab | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.ContDiff.Basic
import Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
import Mathlib.Analysis.Calculus.FDeriv.Symmetric
impor... |
19,406 | lean_file_chunk | 6ed408089ce6080600eea4a8dbf7c1c554d5a3977aa218f0d7c31e9fa5db0337 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.ContDiff.Basic
import Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
import Mathlib.Analysis.Asymptotics.Lemmas
import Mathl... |
5,548 | lean_file_chunk | 84991c80412f7a5318021db6de66af2667ad38bb7b4aad07251aa33ca27ab54c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Normed.Module.Multilinear.Basic
import Mathlib.Analysis.Normed.Module.Multilinear.Curry
import Mathlib.Analysis.Asymptotics.Lemmas
im... |
4,788 | lean_file_chunk | 115962bacbdad711af5e296d175f6ac47a1e4df0f77cb86c6dc63c4d95469a93 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.Implicit
import Mathlib.Topology.OpenPartialHomeomorph.Constructions
import LeanPool.SardMoreira.ContDiffMoreiraHolder
impor... |
23,939 | lean_file_chunk | 96bc40730e891b2ad868cee531c29e746f9f798cf03b2ada4ce18dc315c72d98 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import LeanPool.SardMoreira.UpperLowerSemicontinuous
import LeanPool.SardMoreira.NormedSpace
import LeanPool.SardMoreira.MeasureComap
import LeanPool.SardMor... |
2,710 | lean_file_chunk | 2289223ecf22a024aed0fb3691152d878fa4a54cf1263f6086d3e938fb6d2945 | lean_source_file | lean_pool_source_file_chunks | theorem MeasurableSet.setOf_tendsto_measure_inter_closedBall_div
{X : Type*} [PseudoMetricSpace X] [SecondCountableTopology X]
[MeasurableSpace X] [OpensMeasurableSpace X]
(μ : Measure X) [IsLocallyFiniteMeasure μ] [SFinite μ]
{s : Set X} (hs : MeasurableSet s) {f : X → ℝ≥0∞} (hf : Measurable f) :
M... |
2,453 | lean_file_chunk | 779e0204f987504cbf75ddf975b485dbff792bc059df05c90fad3edb923cbb4b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.LinearAlgebra.Dimension.Finrank
import Mathlib.LinearAlgebra.Dimension.LinearMap
import Mathlib.LinearAlgebra.FiniteDimensional.Basic
import M... |
12,959 | lean_file_chunk | 1d7cb0c6b4de184408e1f766c9fc0864196cf4c763e7a749484468923e9e2269 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.DiffContOnCl
import Mathlib.Analysis.Calculus.LineDeriv.Basic
import Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThm... |
23,961 | lean_file_chunk | 6f9a33a0ab88f05242dc95f792ef9b482378a96afd2b51a5816abedac6be3396 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Calculus.FDeriv.Comp
import Mathlib.Analysis.Calculus.Implicit
import Mathlib.Topology.MetricSpace.HausdorffDimension
import Mathlib.... |
10,769 | lean_file_chunk | 90518a9dd30b786d4011452fc0db6df7802cc13125a1be84b2a95868a114971d | lean_source_file | lean_pool_source_file_chunks | suffices μH[sardMoreiraBound (dim E + dim F) (k + 1) α (dim E)] (g '' ψ.set) = 0 by
have hg : Function.prod Prod.fst f ∘ (ψ : E × ψ.Dom → E × F) = g := by
funext x
simp [g, Function.prod]
rw [hg]
exact this
apply hausdorffMeasure_image_piProd_fst_null_of_isBigO_isLittleO
· simp
· simp [Mod... |
4,692 | lean_file_chunk | 3dc6a4d94cbb30d3b3b8a667abd1ab8ac0d440f4be3394152fa84ec042913ad8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Normed.Order.Lattice
import Mathlib.Algebra.Order.Star.Real
import Mathlib.MeasureTheory.Constructions.BorelSpace.Order
import Mathli... |
3,486 | lean_file_chunk | 9ad0d11e249571f71ac37878413af491a68e2fe5753c2dfebcfd69ebe8e468be | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Normed.Group.Basic
import Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
/-!
# LeanPool.SardMoreira.MeasureComap
-/
open scoped ... |
747 | lean_file_chunk | 928971ae53b15f4cd8d2c472623fdadb061ad4dc9cdd3942f7b828b266c53cd4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import LeanPool.SardMoreira.MeasureComap
import Mathlib.MeasureTheory.Measure.Haar.OfBasis
/-!
# LeanPool.SardMoreira.MeasureNNReal
-/
open scoped ENNReal ... |
1,119 | lean_file_chunk | 762ddf018eed32a983b806e264f1402c9e2762c4457c0a47ed8c6ee33d0cbee0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Normed.Module.Basic
/-!
# LeanPool.SardMoreira.NormedSpace
-/
namespace NNReal
variable {E : Type*} [SeminormedAddCommGroup E] [No... |
21,408 | lean_file_chunk | f7b0be36ccf66c5cb4c4e750b7201aba1b2dfcf073e90794565377103a745ea9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Covering.Besicovitch
import Mathlib.MeasureTheory.Covering.Differentiation
import Mathlib.MeasureTheory.Covering.Vitali
import M... |
4,356 | lean_file_chunk | d9ecdc1404182daec5000cb2e9fb36ba9e4eda08d30d291aa356c8ae84ab4c0b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.Normed.Operator.Basic
import Mathlib.Analysis.Normed.Operator.Mul
import Mathlib.Analysis.Normed.Operator.NNNorm
import Mathlib.Analy... |
516 | lean_file_chunk | adaac9aeb12dd55168022c26ecc6f7bfca65463b92aac290232a590ed00d17f4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Constructions.HaarToSphere
/-!
# Lemmas re-exported from Mathlib (formerly PR31960)
The `toSphereBallBound` definitions and th... |
3,941 | lean_file_chunk | a195a6ec4da6a630577286fc8bba11a3aa93463b32b337a1b445ef1a35060d05 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
import Mathlib.Analysis.Normed.Module.Completion
/-!
# Displacement is at most the in... |
1,260 | lean_file_chunk | d009de11720ece312de562b5d5b7af8f2647507471fbe731f3499e0c141fbec4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Measure.Prod
import Mathlib.MeasureTheory.Measure.OpenPos
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mat... |
391 | lean_file_chunk | 2dbe98950a237d2cb8b866a44c5964f726b187527fc6e9338ffa5612a569f191 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Data.ENNReal.Basic
/-!
# LeanPool.SardMoreira.ToMathlib.PR32993
-/
open ENNReal
protected theorem ENNReal.div_right_comm {a b c : ℝ≥0∞} : a... |
560 | lean_file_chunk | 00bab7a3ebe2e88fcf92550d2aebb44d6fe5df48df3510d7ad37e2c6750130af | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Measure.Prod
import Mathlib.MeasureTheory.Constructions.Pi
/-!
# Lemmas re-exported from Mathlib (formerly PR33029)
The instan... |
15,072 | lean_file_chunk | 44ec224ca190b71bb68361a4b87354bcf2843c49d555c5a625071be9960dea81 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
import Mathlib.Topology.EMetricSpace.Paracompact
import Mathlib.Topology.Separation.CompletelyRegular
im... |
647 | lean_file_chunk | 140d54dde7f61e4d4b8d859f4fc779694f4f4fcdd38d254be78fb16cf7a88d98 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import LeanPool.SardMoreira.ToMathlib.ContinuousLinearMap
import LeanPool.SardMoreira.ToMathlib.PR31960
import LeanPool.SardMoreira.ToMathlib.PR32186
import ... |
619 | lean_file_chunk | e0b3c2282c322f696a4442bb6f87daa4490d43e393f85522888adec401672831 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Topology.NhdsWithin
/-!
# LeanPool.SardMoreira.Topology
-/
open Filter
open scoped Topology
theorem eventually_nhdsWithin_nhds {X : Type*} ... |
3,237 | lean_file_chunk | 287a1fb1e748c39aaaf9d65446650f37de323326f8f957121483a70572d1462a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.MeasureTheory.Covering.Besicovitch
import Mathlib.MeasureTheory.Covering.LiminfLimsup
import Mathlib.MeasureTheory.Constructions.BorelSpace.Ba... |
8,064 | lean_file_chunk | 8915395746816a9132277ae6c84834437b733bda191afadc69eb7dae855e0229 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import LeanPool.SardMoreira.ContDiff
/-!
# LeanPool.SardMoreira.Unused
-/
open scoped Topology
open Filter Set
-- TODO: add before `HasFDerivAt.of_local_l... |
2,290 | lean_file_chunk | 97ba89a4a8973e418571b93cb675d48427cbd2aca2ab4e6165ef9c0d349e570c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Topology.Order.LowerUpperTopology
import Mathlib.Topology.Semicontinuity.Basic
/-!
# LeanPool.SardMoreira.UpperLowerSemicontinuous
-/
open S... |
6,662 | lean_file_chunk | f8a5b38ca448c2bcf241a5e01d7b80b53e5036a0d929013002c6b0eea57e93e8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
import Mathlib.MeasureTheory.Measure.Haar.Basic
import Mathlib.MeasureTheory.Measure.Hausdorff
import Mat... |
2,132 | lean_file_chunk | a66b7dc52c147ade129926fed62545b6ca94e9793e572a7c3a15a0713d180615 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import LeanPool.SardMoreira.ContDiff
import LeanPool.SardMoreira.ContDiffMoreiraHolder
import LeanPool.SardMoreira.ContinuousMultilinearMap
import LeanPool.S... |
9,570 | lean_file_chunk | 57552470cd2d49d3b3fa917773b771ee6c5cf8eeff075cc15697fb939a6d865a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.NumberTheory.Primorial
import Mathlib.NumberTheory.PrimeCounting
import Mathlib.Analysis.Asymptotics.Lemmas
import Mathlib.Analysis.Complex.Exponen... |
23,978 | lean_file_chunk | c67bb792a4bd4c3d2564ffd328cf7110005b99dd02a370cef4b1f789647f4c4a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.NumberTheory.Primorial
import Mathlib.NumberTheory.PrimeCounting
import Mathlib.Analysis.Asymptotics.Lemmas
import Mathlib.Analysis.Complex.Exponen... |
10,645 | lean_file_chunk | b61c8b3987d450156f03dacc2f8e197799fd47b8918f77574246e21a07491701 | lean_source_file | lean_pool_source_file_chunks | · rw [add_comm, add_div]
have : 0 ≤ 1/(d:ℝ) := by
norm_num
linarith
simpa [Nat.cast_add, Nat.cast_one] using Nat.le_ceil (((N + 1 : ℕ) : ℝ) / d)
· apply sub_left_le_of_le_add
trans ↑(Nat.floor ((N+1)/d:ℝ)+1)
· norm_cast
apply Nat.ceil_le_floor_add_one
trans ((N+1)/d+1:ℝ)
... |
327 | lean_file_chunk | 46ac7982cc11b2bed0dab29785be169a91025299d24c45394d91d53c122803c7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import LeanPool.SelbergSieve4.Applications.BrunTitchmarsh
import LeanPool.SelbergSieve4.Applications.PrimeCountingUpperBound
/-!
# Applications of the Selberg s... |
11,512 | lean_file_chunk | 20178e9663b45e5804f39a7bb10f017f514195d5fabc6d58ae979bbefe5f9b18 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Analysis.Asymptotics.Lemmas
import Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
import Mathlib.Analysis.SpecialFunctions.Integrals.Basic
i... |
648 | lean_file_chunk | 917f9ff08abd8fd633a7b465ed2c98d64b9160e6989409b342a4daddcea36d1e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.NumberTheory.ArithmeticFunction.Defs
import Mathlib.NumberTheory.ArithmeticFunction.Misc
import Mathlib.NumberTheory.ArithmeticFunction.Moebius
imp... |
1,699 | lean_file_chunk | 9d4ec63a381e26a9e3bc157bfe87371daf28206c270c8def25cd897f8fc697ea | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Algebra.BigOperators.Finprod
import Mathlib.Data.Real.Basic
import Mathlib.Data.Nat.Prime.Basic
import Mathlib.Data.Nat.Squarefree
import Mathlib.N... |
1,108 | lean_file_chunk | f20fe766fb39bee010258a288ad04da3e2b933079211533c25d2050c6d069b68 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Algebra.Order.Antidiag.Nat
/-!
# LeanPool.SelbergSieve4.ForMathlib.ProdsAntidiagonal
-/
open scoped ArithmeticFunction.omega
namespace Nat
/--... |
303 | lean_file_chunk | 90ddffe539287b0cf2dcb60c8d4c1e34540c010cc550e5819a1e8d9143b762f3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import LeanPool.SelbergSieve4.ForMathlib.Basic
import LeanPool.SelbergSieve4.ForMathlib.ProdsAntidiagonal
/-!
# Auxiliary lemmas for Mathlib
-/ |
1,597 | lean_file_chunk | e0d9927edaa8b4bc73cf4d3a8192d20e2d48cd36edd7b46acbca130a7be2c755 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.NumberTheory.ArithmeticFunction.Defs
import Mathlib.NumberTheory.ArithmeticFunction.Misc
import Mathlib.NumberTheory.ArithmeticFunction.Moebius
imp... |
16,284 | lean_file_chunk | 050753d3526baeacf64b31a555cfe714fff18c5e8d7447ef2346ba742cee7ed6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import LeanPool.SelbergSieve4.SieveLemmas
/-!
# LeanPool.SelbergSieve4.Selberg
-/
noncomputable section
open scoped BigOperators Sieve ArithmeticFunction.Moebi... |
15,063 | lean_file_chunk | dc830859ee3240ff13457c64741a0aac31bd27c7a0c1b3afeba2380553b6ebd6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Algebra.BigOperators.Group.Finset.Basic
import Mathlib.Analysis.Asymptotics.Lemmas
import Mathlib.NumberTheory.ArithmeticFunction.Defs
import Mathl... |
5,915 | lean_file_chunk | d61b66a0ab8a2e67bf3532a25312f8c2e5abe2291cebbe96b662c58cdacbabd4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Aesop
import LeanPool.SelbergSieve4.Tactic.AesopInit
import Mathlib.Data.Nat.Basic
import Mathlib.NumberTheory.ArithmeticFunction.Defs
import Mathlib.Numbe... |
383 | lean_file_chunk | df6efbed3b6cd2b20a3f49defbab2bdd6bc955b74d5b61ee985df49400bfef27 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Aesop
/-!
# LeanPool.SelbergSieve4.Tactic.AesopInit
Imported Lean Pool material for `LeanPool.SelbergSieve4.Tactic.AesopInit`.
-/
declare_aesop_rule_set... |
1,700 | lean_file_chunk | 9a693a673591861a33276df322581be8a032ce621572c392b9b7ead19e24241e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
-- import Aesop
-- import SelbergSieve.Tactic.AesopInit
-- import Mathlib.NumberTheory.ArithmeticFunction
-- namespace Nat.ArithmeticFunction
-- open Finset
-- ... |
352 | lean_file_chunk | ff02ab315e8bf6b4c565ee77ebe7de4c56702842f6a8172f6d4a5612728d3a9d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import LeanPool.SelbergSieve4.Tactic.AesopDiv
import LeanPool.SelbergSieve4.Tactic.AesopInit
import LeanPool.SelbergSieve4.Tactic.Multiplicativity
/-!
# Tactics... |
1,609 | lean_file_chunk | d8310437dc400fc007a233fa84bc1def08f4cb53005d0a25190d0037f898910a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Algebra.BigOperators.Group.Finset.Basic
import Mathlib.Data.Real.Basic
import Mathlib.NumberTheory.ArithmeticFunction.Defs
import Mathlib.NumberThe... |
526 | lean_file_chunk | e466a69a51aa2425c245c25fa26a944da0668e8b0aafcc3097f7e1f58edf5d40 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import LeanPool.SelbergSieve4.MainResults
/-!
# Selberg Sieve
Source: url:https://archive.org/details/sievemethods0000halb
Authors: Arend Mellendijk
Status: ve... |
23,995 | lean_file_chunk | a2964c5cb2a36aea0c39e757e4b53270f35ce063f77c73108e2e93ca5a57452d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wondermonger-daydreaming. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wondermonger-daydreaming
-/
import LeanPool.SemicircleCheck.FinRotateLemmas
import LeanPool.SemicircleCheck.RotationArithmetic
import LeanPool.SemicircleCheck.GenusNoncrossi... |
23,954 | lean_file_chunk | d0c84a1246370eb29555a648032bd07a0e44e019ebe1ce97e75665da7fa344f9 | lean_source_file | lean_pool_source_file_chunks | change ((ρ * p * ρ⁻¹) (ρ b)).val = rpb; rw [conj_rho]; exact hrpb
have hconj_pa : (p' (ρ (p a))).val = ra := by
change ((ρ * p * ρ⁻¹) (ρ (p a))).val = ra; rw [conj_rho, hinv]; exact hra
have hconj_pb : (p' (ρ (p b))).val = rb := by
change ((ρ * p * ρ⁻¹) (ρ (p b))).val = rb; rw [conj_rho, hinv]; exact hrb
... |
23,954 | lean_file_chunk | 5270fbe4d0844cf27edb8d14222f37380ff0c3c26a0138ac8c5b7b4cda9a5a70 | lean_source_file | lean_pool_source_file_chunks | have := (p.val ⟨j.val + 1, by omega⟩).isLt; omega
have := key h1; omega
/-- The restricted inside permutation is a pairing.
Involution: follows from p being an involution (π is self-inverse by construction).
FPF: π(j) = j would mean p(j+1) = j+1, contradicting p being fpf. -/
private lemma restrictInsidePe... |
23,950 | lean_file_chunk | d62155c07be9f184d5462b17e688b8c57d6d7ada8fdef9095f9ac58e610454ad | lean_source_file | lean_pool_source_file_chunks | -- But we can't see the proofs... Let me try `simp only [Fin.ext_iff]` or `Fin.val_mk`
-- to normalize the Fin expressions
-- Prove involution gives the right val
have h_inv_val := congr_arg Fin.val (hinv ⟨j.val + 2 * (extractK p h_nc).val + 2,
by have := j.isLt; have := hk; omega⟩)
-- h_inv_val :... |
13,347 | lean_file_chunk | 220e09826ee1c44cd0a21cfb2287a9010610e4e4467e5c2ef7afbcff24658ac9 | lean_source_file | lean_pool_source_file_chunks | change (p_in.val.val * p_in.val.val) x = x; simp [h]
let hinv_out : ∀ x, p_out.val.val (p_out.val.val x) = x := by
intro x; have h := p_out.val.property.1; rw [sq] at h
change (p_out.val.val * p_out.val.val) x = x; simp [h]
let ap := assemblePerm n k p_in.val.val p_out.val.val hinv_in hinv_out
⟨⟨ap, assem... |
3,374 | lean_file_chunk | 730264f47f0ef6fbfa32976dadfc027854c383e7362c4d7ad3770461bcbd7bcc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wondermonger-daydreaming. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wondermonger-daydreaming
-/
import Mathlib.GroupTheory.Perm.Fin
import Mathlib.GroupTheory.Perm.Cycle.Type
/-!
COMPUTATIONAL ORACLE: The Semicircle Census
Verified by ... |
2,498 | lean_file_chunk | e6df5e77055fcb177a4cbc31241144b0babea39a4558ae5b59f51e0399b808ae | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wondermonger-daydreaming. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wondermonger-daydreaming
-/
import Mathlib.GroupTheory.Perm.Fin
import Mathlib.Data.Finset.Card
/-!
EVEN CARDINALITY FROM A FIXED-POINT-FREE INVOLUTION
A finite set cl... |
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