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 |
|---|---|---|---|---|---|
23,955 | lean_file_chunk | 9969bc8bedab8c578a45a038307c9f16daef97ef2538efe69b50d6790f74d989 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
module
public import Mathlib.Algebra.BigOperators.Finsupp.Fin
public import Mathlib.Algebra.MvPolynomial.Degrees
public import Mathli... |
10,701 | lean_file_chunk | f89af218813114b04aa2709134f63bb363f4845b16148b8acfc277d8e71d8ce5 | lean_source_file | pkg_mathlib_source_file_chunks | Finsupp.prod_pow] using coeff_monomial m m (1 : R)
· simp only [hjmi, if_false]
obtain hij | rfl := ne_or_eq i (j 0)
· simp only [hij, if_false, coeff_zero]
simp only [if_true]
have hmj : m ≠ j.tail := by
rintro rfl
rw [cons_tail] at hjmi
contradiction
simpa onl... |
1,257 | lean_file_chunk | 7e1845f58653a998d1a31f4112347e29fea3a00b3f2aa72a193f9260d7b235cc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.MvPolynomial.Equiv
/-!
# Some lemmas relating polynomials and multivariable polynomials.
-/
public section
namespace MvPolynomial... |
4,577 | lean_file_chunk | 0b65921163f46923e7fdea9aab09bbae4f4a6f85e09c55d132ff41c736da3a57 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Antoine Chambert-Loir, María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
-/
module
public import Mathlib.Algebra.MvPolynomial.Basic
public import Mathlib.Data.Nat.... |
2,275 | lean_file_chunk | 39060b03112e77acf6707477c00b37cd61085e5c36024f1b4a710e4a67a69ee2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Chris Hughes, Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Junyan Xu
-/
module
public import Mathlib.Algebra.MonoidAlgebra.Cardinal
public import Mathlib.Algebra.MvPolynomial.Equiv
public import Mathlib.Data.Finsupp.Fin... |
3,223 | lean_file_chunk | 3997580910058a947af419b033bdcfa419db487325608a36510eb218a5260bdb | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Polynomial.RingDivision
public import Mathlib.Algebra.Polynomial.Roots
public import Mathlib.Algebra.MvPolynomial.CommRing
publi... |
1,224 | lean_file_chunk | 922a4711351677965fb862c4573de94e4457e60c53a0021009349a97afd6db50 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
module
public import Mathlib.Algebra.GCDMonoid.Basic
public import Mathlib.Algebra.Ring.PUnit
/-!
# `PUnit` is a GCD monoid
This file collects facts about algebraic structur... |
5,745 | lean_file_chunk | e8a19de598a7f81392da8c43c03cb3e3c2131da2d52b45803d6af7bf1be9e221 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
module
public import Mathlib.Algebra.GCDMonoid.Basic
public import Mathlib.Algebra.Order.Group.Unbundled.Int
public import Mathlib.Al... |
1,887 | lean_file_chunk | 76858bfd4fadc01f557eeb1620ee97e3c24aff492706abc768c6c8828b87721f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
module
public import Mathlib.Algebra.GCDMonoid.Basic
public import Mathlib.RingTheory.IntegralClosure.IntegrallyClosed
public import Mathlib.RingTheory.Polynomial.Eisenste... |
9,546 | lean_file_chunk | 83e78d1bd1d86db7290c1c1cd1a27bb82908e0a23227722c343967e419c03081 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
module
public import Mathlib.Data.Finset.Fold
public import Mathlib.Algebra.GCDMonoid.Multiset
public import Mathlib.Algebra.GCDMonoid.Nat
/-!
# GCD and LCM operati... |
23,999 | lean_file_chunk | d7cf0422a651c922fab9ea24d03a5280ac23c5fa4c803b78a3058f16174d448b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
-/
module
public import Mathlib.Algebra.Ring.Associated
/-!
# Monoids with normalization functions, `gcd`, and `lcm`
This file defines extra structure... |
23,980 | lean_file_chunk | 9dcf101a900f0fce3c2e2bdff074ebbca9954ee536ed9effc69fdf0db5a02d9e | lean_source_file | pkg_mathlib_source_file_chunks | rw [← h]
rw [mul_assoc, mul_comm a', ← mul_assoc _ b', ← mul_assoc b', mul_comm b']
use Units.mkOfMulEqOne _ _ h'
rw [Units.val_mkOfMulEqOne, ha']
theorem exists_eq_pow_of_mul_eq_pow [GCDMonoid α] [Subsingleton αˣ]
{a b c : α} (hab : IsUnit (gcd a b)) {k : ℕ} (h : a * b = c ^ k) : ∃ d : α, a = d ^ k :=
l... |
6,981 | lean_file_chunk | 6b847fc4d200f3b28fa8348a86b221daedd0faa19da84c357c35e9341f542692 | lean_source_file | pkg_mathlib_source_file_chunks | lcm_zero_left := fun _ => eq_zero_of_zero_dvd (dvd_lcm_left _ _)
lcm_zero_right := fun _ => eq_zero_of_zero_dvd (dvd_lcm_right _ _)
gcd_dvd_left := fun a b => by
split_ifs with h h_1
· rw [h]
apply dvd_zero
· exact (normalize_associated _).dvd
have h0 : lcm a b ≠ 0 := by
... |
1,146 | lean_file_chunk | 35de0d42d63b5a4703de7495c794934260245d042b08ee94ef578c072d3e2353 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Snir Broshi. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Snir Broshi
-/
module
public import Mathlib.Algebra.GCDMonoid.Finset
public import Mathlib.Algebra.GCDMonoid.Nat
public import Mathlib.Data.Nat.GCD.Basic
public import Mathlib.RingTheory... |
6,895 | lean_file_chunk | 5322dd163a1342337a4775860bfb18c9d998db38151e6852e747bb22e73b67a5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
module
public import Mathlib.Algebra.GCDMonoid.Basic
public import Mathlib.Algebra.Order.Group.Multiset
public import Mathlib.Data.Multiset.FinsetOps
public import M... |
23,975 | lean_file_chunk | 5b448ab1c4a0ac6f218b68918f908e90aa5f18811396fa1874425f28479f9652 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Kexing Ying and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Kevin Buzzard, Yury Kudryashov
-/
module
public import Mathlib.Algebra.BigOperators.Pi
public import Mathlib.Algebra.FiniteSupport.Defs
public import Mathl... |
23,919 | lean_file_chunk | 5cddc13e1eb99360591a52c437fb985959683f5c4ca79ce09d4e114ab9cc6b3d | lean_source_file | pkg_mathlib_source_file_chunks | /-- Monotonicity of `finprod`. See `finprod_le_finprod` for a variant where
`M` is a `CommMonoidWithZero`. -/
@[to_additive /-- Monotonicity of `finsum.` -/]
lemma finprod_le_finprod' [PartialOrder M] [MulLeftMono M] (hf : HasFiniteMulSupport f)
(hg : HasFiniteMulSupport g) (h : f ≤ g) :
∏ᶠ a, f a ≤ ∏ᶠ a, g a :... |
15,420 | lean_file_chunk | b0590ffd6cddc029b32a4a25e6a35b26f72dc96bdda4719872434d0fd92e05cc | lean_source_file | pkg_mathlib_source_file_chunks | /-- If `t` is a finite set of pairwise disjoint finite sets, then the sum of `f a` over
`a ∈ ⋃₀ t` is the sum over `s ∈ t` of the sums of `f a` over `a ∈ s`. -/]
theorem finprod_mem_sUnion {t : Set (Set α)} (h : t.PairwiseDisjoint id) (ht₀ : t.Finite)
(ht₁ : ∀ x ∈ t, Set.Finite x) : ∏ᶠ a ∈ ⋃₀ t, f a = ∏ᶠ s ∈ ... |
7,897 | lean_file_chunk | 12886e969efd68b27b30a03fd3d96bd003c039965b4f6c57df0c6c3b4306687a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Concordance Inc. dba Harmonic. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Algebra.BigOperators.Ring.Finset
public import Mathlib.Data.ZMod.Basic
/-!
# Congruence modulo natural and integer numb... |
4,057 | lean_file_chunk | cf9018c8c8f6c361b8707332860dc33f228fcf8d42a18e0af919ea2fd483077e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yaël Dillies
-/
module
public import Mathlib.Algebra.BigOperators.GroupWithZero.Finset
public import Mathlib.Algebra.Order.Ring.WithTop
/-!
# Sums in `WithTop`
This fi... |
1,797 | lean_file_chunk | 5a32d66c2c668769b3081a35e764fd1b3f9254166e8ea80b1e9ee3285e68fe2e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
module
public import Mathlib.Algebra.Ring.Equiv
public import Mathlib.Algebra.Ring.Opposite
public import Mathlib.Algebra.BigOperator... |
23,993 | lean_file_chunk | 13fad60139811973d5a1686f81048e939904687e094ff72b53cbf914145bee76 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Yury Kudryashov, Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Anne Baanen
-/
module
public import Mathlib.Algebra.BigOperators.Ring.Finset
public import Mathlib.Algebra.Group.Action.Pi
public import Mathlib.Data.Fi... |
4,766 | lean_file_chunk | 2dc4edee659acffbe26c1719edd56d5f6ad2255f9a60c332d554a3b0e095eb31 | lean_source_file | pkg_mathlib_source_file_chunks | · intro n x xs ih a
simp_rw [Fin.forall_iff, Fin.ext_iff] at ih
ext
simp_rw [Fin.sum_univ_succ, Fin.cons_succ]
have := fun i : Fin n =>
Fintype.prod_equiv (finCongr <| Fin.val_succ i)
(fun j => (Fin.cons x xs : _ → ℕ) (Fin.castLE (Fin.is_lt _).le j))
(fu... |
1,374 | lean_file_chunk | f6f7a39dc2c20ef2e4db500734fb6514227d90568d3203569b49bc54ab8181da | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Data.Finset.Option
public import Mathlib.Algebra.BigOperators.Group.Finset.Basic
/-!
# Lemmas about products and sums over finite set... |
18,565 | lean_file_chunk | 156f2a3b317a7cddf9317bca8ad6329ee995cc3f5789b358fb4c290d82c6ae58 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
module
public import Mathlib.Algebra.Algebra.Rat
public import Mathlib.Algebra.BigOperators.GroupWithZero.Action
public import Mathlib.Algebr... |
2,472 | lean_file_chunk | bd8c941432babefa87675e68a064a01e406d96f5bd45576ccceac139d5184fad | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Dylan MacKenzie. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dylan MacKenzie
-/
module
public import Mathlib.Algebra.BigOperators.Intervals
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Tactic.Abel
/-!
# Summation by parts
-... |
8,798 | lean_file_chunk | eadf5cdfe1a62ef22fa60013e2a2f166790709eca866896df3cd57eb286dc006 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
module
public import Mathlib.Algebra.BigOperators.Group.Finset.Lemmas
public import Mathlib.Algebra.BigOperators.Group.Finset.Piecewise
public import Mathl... |
2,246 | lean_file_chunk | dd4ffde963bc3f8e9dee13abdc18c5e15393f531849149e4a9329fd9f0419b27 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
module
public import Mathlib.Algebra.BigOperators.Expect
/-!
# Balancing a function
This file defines the balancing of a function `f`, defi... |
1,921 | lean_file_chunk | c332dcf79221e0b4b6db3a32d4a5b955b31dbb2c4098f4abe9e4a5119e298540 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Daniel Weber
-/
module
public import Mathlib.Algebra.BigOperators.Ring.Finset
public import Mathlib.Algebra.Field.Defs
public import Mathlib.Data.Finset.Density
/-!
# Res... |
2,571 | lean_file_chunk | dc213f29b5f730b88e14c5dd9665f855cc31a7f01fb899ebd4400de8c593e69a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
module
public import Mathlib.Data.Finset.NatAntidiagonal
public import Mathlib.Algebra.BigOperators.Group.Finset.Basic
/-!
# Big operators for `NatAntidiagonal`
Th... |
9,916 | lean_file_chunk | 03a6750215eae85f8fd36ef8d826b5267dc70ec1323483c8bea0c4b25c52f069 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Anne Baanen
-/
module
public import Mathlib.Algebra.BigOperators.Finsupp.Basic
public import Mathlib.Algebra.Group.Submonoid.Membership
public import M... |
11,067 | lean_file_chunk | 5e0ac6b39438375ae2fd645fd3d3b1c31546dbf33d5d0671a2619aa52c8d988c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
module
public import Mathlib.Algebra.Order.BigOperators.Group.LocallyFinite
public import Mathlib.Algebra.Order.Interval.Finset.Basic
public import Mathlib.Algebra.O... |
986 | lean_file_chunk | 9a81cd758a90f48bb917c434e7c17b94286a788ece08f003fbab8d3feb18cf88 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Data.Finset.Sym
public import Mathlib.Data.Sym.Sym2.Order
public import Mathlib.Algebra.BigOperators.Group.Finset.Basic
/-!
# Lemmas on `Fins... |
9,399 | lean_file_chunk | 376dffbd3528f9a02136cfda82819082c3a3b02bfc1af4d84f5715a20962313e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.RingTheory.GradedAlgebra.Basic
public import Mathlib.Algebra.GradedMulAction
public import Mathlib.Algebra.DirectSum.Decomposition
public im... |
19,280 | lean_file_chunk | 8fdd018f6f50a74f08f649863f56e113ae797233a88fae350d91c3d0fdb16527 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wanyi He, Jiedong Jiang, Xuchun Li, Christian Merten, Jingting Wang, Andrew Yang
-/
module
public import Mathlib.Data.ENat.Lattice
public import Mathlib.LinearAlgebra.Dimension.Free
publ... |
978 | lean_file_chunk | e6cfc19cc5a1dcf7befe0f5ac997d1beacb8828e7288194b7731fff286e39363 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
module
public import Mathlib.Algebra.Module.Torsion.Free
public import Mathlib.SetTheory.Cardinal.Basic
/-!
# Cardinality of a module
This file proves that t... |
1,256 | lean_file_chunk | b3188e54ca5518d74d048800109dbf7b9fad6d2a3e72a124c781f36a5cf193ef | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.Opposite
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Algebra.Ring.Opposite
/-!
# Module oper... |
3,679 | lean_file_chunk | cbd24ef30d580db0103febe55eeadbda6a3354e36723ae0256ffe077755b2226 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Pierre-Alexandre Bazin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pierre-Alexandre Bazin
-/
module
public import Mathlib.Algebra.Module.Torsion.Basic
public import Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
/-!
# Modules over a Dedekind... |
7,476 | lean_file_chunk | 684cc5f37e904cee8bef701a38af7e87d4589d1854da0ae3d9c58303d4cef447 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Data.Int.Cast.Lemmas
/-!
# Modules over `ℕ... |
5,646 | lean_file_chunk | 823258b969361baead85e2b8c73a4a736fc369c992b9655d0612f686651a3303 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.Module.Basic
public import Mathlib.Algebra.Module.End
public import Mathlib.A... |
3,773 | lean_file_chunk | 099bcdfaee1580626750d4b4baeb5c732fe48475114d774ca6190f549dac7b54 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.TransferInstance
public import Mathlib.Algebra.Module.Equiv.Defs
public import Mathlib.Algebra.Module.Torsi... |
2,631 | lean_file_chunk | b9651de9873862762ed2362ad6e21204ffee752a635182cbe8d6ad3eeb2badf3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
module
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Algebra.Ring.Action.Basic
public import Mathlib.Algebra.Ring.PUnit
/-!
# Instances on PUnit
This file ... |
5,156 | lean_file_chunk | 2c860d7e3d9d11fa5c45e5e2e7d258eb360d8820823d545f210a411248fe62ac | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
module
public import Mathlib.RingTheory.TensorProduct.Basic
/-!
# Bimodules
One frequently encounters situations in which several sets of scalars act on a single space, ... |
724 | lean_file_chunk | c181a042356ce1926d1e6315f4e2105443bdf251584c0d2fc4972f8e27c14c89 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.Prod
public import Mathlib.Algebra.Module.Defs
/-!
# Prod instances for module and ... |
14,063 | lean_file_chunk | ed32ab11cff5142950f6ef2a2d8567fa365714cce3a10db310a7f41cb80f8367 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Pierre-Alexandre Bazin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pierre-Alexandre Bazin
-/
module
public import Mathlib.Algebra.Module.DedekindDomain
public import Mathlib.LinearAlgebra.FreeModule.PID
public import Mathlib.Algebra.Module.Pr... |
2,068 | lean_file_chunk | d03f3072963ee4ffaca8d3f9df68eafee8e67ab64f7356d1169459df6c950c9a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.Pi
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Algebra.Regular.SMul
public im... |
7,053 | lean_file_chunk | c3693b8aca38c3a7f55a68be3f3eff6fafd9b1358158ed03c09f76e785d801ab | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.Field.Defs
public import Mathlib.Algebra.Group.Action.Pi
public import Mathli... |
4,922 | lean_file_chunk | 068331b7a69488cdd1b821938d7f57d23d2dd37466f71a9f4dfdb85b7ac4c45c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.GroupWithZero.ULift
public import Mathlib.Algebra.Ring.ULift
public import Mathlib.Algebra.Module.Equiv.Defs
public import Mathlib.D... |
2,136 | lean_file_chunk | 4568928ec84198130ba2b77507f16534e10743555104709871fdd5bec07651dc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.Group.Hom.End
public import Mathlib.Algebra.Module.NatInt
/-!
# Module struc... |
3,578 | lean_file_chunk | b9d6cd8b1028a073143e44e693dfe35645fbcd88e71391dff158c74fbe858058 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.End
public import Mathlib.Algebra.Module.Defs
public imp... |
1,328 | lean_file_chunk | c7b59474bead3f765da95ba7200b6d9c22bf1150201c5f2529e516409079752b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best
-/
module
public import Mathlib.Algebra.GroupWithZero.Units.Basic
public import Mathlib.Algebra.Group.Action.Basic
public import Mathlib.Algebra.Group.Pointwise.Set.Scalar
... |
6,554 | lean_file_chunk | b4ceac9d5e97e48c6732c3c6d1375f6e8db868a0367470de58a31d03456bcecf | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Algebra.GroupWithZero.Action.Defs
public import Mathlib.Algebra.Ring.Defs
/-!
# Modu... |
10,235 | lean_file_chunk | 55e34e63d073c4e6a8a2d982fcd2e4385a6a61e028e2b950f990d6cf4b7149eb | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Junyan Xu
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.Algebra.Category.Grp.Injective
public import Mathlib.Topology.Instances.Ad... |
735 | lean_file_chunk | c3f5cf10fb7a6cf5f09008991fbba143aa52b9df1caf45db5bae97468fad0241 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Group.Shrink
public import Mathlib.Algebra.Module.TransferInstance
/-!
# Transfer module and algebra structures from `α` to `Shrink... |
20,862 | lean_file_chunk | db7b3ce13a955b8eef68b8f7e80dcec45543d97fdad83e966f5d95d0153169b4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.Algebra.Module.Shrink
public import Mathlib.LinearAlgebra.LinearPMap
public import Mathlib.LinearAlgebra.Pi
public import Mathlib.Logic.Sma... |
12,515 | lean_file_chunk | 9917562fa60a687c270a17e225fa5046e594150bcafc883e79d2f1d4227c2a7b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Antoine Labelle
-/
module
public import Mathlib.Algebra.Module.Shrink
public import Mathlib.LinearAlgebra.TensorProduct.Basis
public import Mathlib.Logic.UnivLE
/-!
# ... |
2,376 | lean_file_chunk | dc691877f5badb95971b66a9c3ece93c826e39bd8742cc9087ce96e3885ef87a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov, Yaël Dillies
-/
module
public import Mathlib.Algebra.BigOperators.GroupWithZero.Action
public import Mathlib.Algebra.Module.Defs
public import Mathlib.Dat... |
23,973 | lean_file_chunk | 33e358b60cd8ff84e355b5118553de548b63674190bc0739db2cab26f5c54e99 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
module
public import Mathlib.LinearAlgebra.FreeModule.Finite.Basic
public import Mathlib.LinearAlgebra.Isomorphisms
public import Mathlib.LinearAlgebra.TensorProduct.Right... |
8,358 | lean_file_chunk | c0ab79dc9cb789f483072c5da16bb831463f23d9f969170b6902c77d6c2c3ed0 | lean_source_file | pkg_mathlib_source_file_chunks | lemma Module.FinitePresentation.exists_lift_equiv_of_isLocalizedModule
[Module.FinitePresentation R M] [Module.FinitePresentation R N]
(l : M' ≃ₗ[R] N') :
∃ (r : R) (hr : r ∈ S)
(l' : LocalizedModule (.powers r) M ≃ₗ[Localization (.powers r)]
LocalizedModule (.powers r) N),
(LocalizedMod... |
4,435 | lean_file_chunk | 706326bbfbd9b79c8ae14b1db15ea0846f7f8e3166ff5c290a169efcfcbad1e3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Module.SpanRank
public import Mathlib.RingTheory.Ideal.Cotangent
public import Mathlib.RingTheory.LocalRing.Module
/-!
# Span rank un... |
5,149 | lean_file_chunk | bd6afff155f80ab0976d2ecaad301870cde35de5fccd2818c9658dd7c89669e3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Lawrence Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lawrence Wu
-/
module
public import Mathlib.Algebra.Module.LinearMap.Defs
public import Mathlib.Algebra.Module.Submodule.Defs
public import Mathlib.GroupTheory.Sylow
/-!
# The `ZMod n`-... |
8,568 | lean_file_chunk | 485f2c0262d98820dcbdfeb8e985945c9096e456ce8f6c082db1c235fd34fd5f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Judith Ludwig, Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Judith Ludwig, Christian Merten
-/
module
public import Mathlib.LinearAlgebra.Dimension.Localization
public import Mathlib.LinearAlgebra.FiniteDimensional.Lemmas
publ... |
1,622 | lean_file_chunk | 4929f7f918844f5e84cd44a860cd1524b7c8e6890bce913debb51c99aa3d56b4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Martin C. Martin
-/
module
public import Mathlib.Algebra.Module.Defs
/-!
# Minimal Axioms for a Module
This file d... |
9,214 | lean_file_chunk | e47fc9c733cf6603201d9aad947366246d60b6c44e3b9ca164e9a97422d18968 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
module
public import Mathlib.Algebra.Exact
/-!
# The snake lemma in terms of modules
The snake lemma is proven in `Mathlib/Algebra/Homology/ShortComplex/SnakeLemma.lean... |
4,232 | lean_file_chunk | 237757152c93ef8f0582b19a7de21fbbdb6a6baa21f800f8569f50fc37312eb5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Algebra.Group.Hom.Instances
public import Mathlib.Algebra.GroupWithZero.Action.End
public import Mathlib.Algebra.GroupWithZero.Action.Hom
publ... |
538 | lean_file_chunk | 9a5b2f138b90522cdc7324a9c775c08e5ac4da26a8535442337a6b8bb226a7f0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yaël Dillies, Paul Lezeau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Paul Lezeau
-/
module
public import Mathlib.Algebra.FreeAbelianGroup.Finsupp
public import Mathlib.Algebra.Group.UniqueProds.Basic
/-!
# Free abelian groups ... |
4,895 | lean_file_chunk | 0b3dbd15f1f9bd036dccdf68137e4e3c6d2a58f8c98970af533a82845c52abd4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.BigOperators.Finsupp.Basic
public import Mathlib.Algebra.Module.End
public import Mathlib.GroupTheory.FreeAbelianGroup
/-!
# Is... |
7,404 | lean_file_chunk | 066bb61bf20f0b3bb3cea75d7aa3b0f2df872da804a98ae1410035d0c32b8520 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
module
public import Mathlib.Algebra.BigOperators.Group.Finset.Lemmas
public import Mathlib.Algebra.FiniteSupport.Defs
public import Mathlib.Algebra.Order.Group.Indica... |
1,120 | lean_file_chunk | 0e8fba7100edd1e6f102838a36ae36e9e2ca1d769309b90e8de99ae5c920625b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
module
public import Mathlib.Algebra.Notation.Support
public import Mathlib.Data.Set.Finite.Basic
/-!
# Make fun_prop work for finite (multiplicative) support
We def... |
466 | lean_file_chunk | 4474fb04c258d6fa7952bcce2ec556ea813110261e6c0aca4cb1783cf160c633 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Divisibility.Basic
public import Mathlib.Data.Fintype.Defs
/-!
# Divisibility in finite types
-/
@[expose] public section
var... |
1,625 | lean_file_chunk | 46814c754447e49a4032248adbc703cae3eee66b53ddbbd41dcf4a94ec310e28 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Divisibility.Basic
public import Mathlib.Algebra.Group.Pi.Basic
public import Mathlib.Algebra.Group.Prod
public import Mathlib.T... |
6,193 | lean_file_chunk | 4dc5a13e1b4160d89d6a009262b404556c19f7e1ccff418c7ec20e13a69907c3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland, Aaron Anderson
-/
module
public import Mathlib.Algebra.Group.Basic
public impor... |
9,263 | lean_file_chunk | 1fad1cd44bd4ac081355dce1f0df75e7a96ebf5888bd46bb597f08fd0d50f5c9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland, Aaron Anderson
-/
module
public import Mathlib.Algebra.Divisibility.Basic
publi... |
1,009 | lean_file_chunk | 173376455e55b3f9b3442a9dc95cf046163bd0160198ebd8e101c54c046f3187 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland, Aaron Anderson
-/
module
public import Mathlib.Algebra.Divisibility.Basic
publi... |
6,081 | lean_file_chunk | ea653aaf71ca697f4f4ead455421265b8a4f3fcd9100f561481dff0ddd29c821 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Hannah Fechtner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hannah Fechtner
-/
module
public import Mathlib.Algebra.FreeMonoid.Basic
public import Mathlib.Algebra.Group.Submonoid.Operations
public import Mathlib.GroupTheory.Congruence.Hom
/-... |
1,199 | lean_file_chunk | c7dfde1ea19a739da96a85e2f7cb5bb09705f9e8cd5cc843dd27dae80a777152 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
-/
module
public import Mathlib.Algebra.Group.Nat.Defs
public import Mathlib.Algebra.EuclideanDomain.Defs
public import Mathlib.Algebra.Order.Group.Unbundle... |
14,019 | lean_file_chunk | 13eb6d470caface5f0ecb2a59dfac9662c517719b27f600a4c6676cb217772b8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
-/
module
public import Mathlib.Algebra.EuclideanDomain.Defs
public import Mathlib.Algebra.Ring.Divisibility.Basic
public import Mathlib.Algebra.GroupWithZe... |
8,370 | lean_file_chunk | b6fd2774c1b8f63f1cced80dc2a28be66d5aa9ed2ddc729f4551c05a20d9b7a2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
-/
module
public import Mathlib.Algebra.Ring.Defs
public import Mathlib.Order.RelClasses
/-!
# Euclidean domains
This file introduces Euclidean domains an... |
1,696 | lean_file_chunk | 18cf23921503bf27a8e8fca5a559961d6bb77b0cf7cbcfe1901aad5ff8ddc838 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
-/
module
public import Mathlib.Algebra.EuclideanDomain.Defs
public import Mathlib.Algebra.Field.Defs
public import Mathlib.Algebra.GroupWithZero.Units.Basi... |
1,084 | lean_file_chunk | 443951007f0e295056433664ab5e9d43d7eec4f4a78c0069e4cb6ca9bdec329c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
module
public import Mathlib.Algebra.Group.Idempotent
public import Mathlib.Algebra.GroupWithZero.Defs
/-!
# Idempotent elements of a group with zero
-/
@[... |
3,921 | lean_file_chunk | 5e8ed606d8d2ef3bbe7cb22b6e9312558d7395b4000b5346f38cb736e8160555 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
module
public import Mathlib.Algebra.Group.Opposite
public import Mathlib.Algebra.GroupWithZero.InjSurj
public import Mathlib.Algebra.GroupWithZero.NeZero
/-!
# Opposites of ... |
2,686 | lean_file_chunk | de2021a02b13d5b78723f16cb0e841b8b0363cccbe36f27be0f8e85427834d6f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.GroupWithZero.Units.Basic
public import Mathlib.Algebra.Group.Semiconj.Units
/-!
# Lemmas about semiconjugate elements in a `Gr... |
149 | lean_file_chunk | 790b42951ad7ffbcb6ed674a2fee6a76484bf7ca120eba95b9a9833fb7c47db9 | lean_source_file | pkg_mathlib_source_file_chunks | module -- shake: keep-all
public import Mathlib.Tactic.Common
public import Mathlib.Util.CompileInductive
deprecated_module (since := "2026-01-01") |
16,720 | lean_file_chunk | 12bf8e45d540d8df3e8dbe3a45f62c31feb0c7be6cf309a10d953c2fd7a47059 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johan Commelin
-/
module
public import Mathlib.Algebra.Group.TypeTags.Basic
public import Mathlib.Algebra.Group.WithOne.Defs
public import Mathlib.Algebra.GroupWithZer... |
4,451 | lean_file_chunk | b0d85c386cb5110148d60437c1795f7f4dd28fa4866376b3eea4feea2e20ebf1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
module
public import Mathlib.Algebra.GroupWithZero.Defs
public import Mathlib.Tactic.Push
/-!
# Results about `IsRegular` and `0`
-/
public section
variable {R}
se... |
5,748 | lean_file_chunk | 5195c4a8152820dae7856131084e7d9204347f683821945d57df826893cd0a8b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
module
public import Mathlib.Algebra.Group.Pi.Basic
public import Mathlib.Algebra.Group.Support
public import Mathlib.Algebra.GroupWithZero.Basic
publ... |
1,844 | lean_file_chunk | 4f32d3b92c25e36b2416b00354e051e61c7c13312929ad5592dc8d91cd9e3c75 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
module
public import Mathlib.Algebra.Group.TransferInstance
public import Mathlib.Algebra.GroupWithZero.InjSurj
/-!
# Transfer algebraic structures across `Equiv`s
... |
6,399 | lean_file_chunk | bc90ac13c4bbad5328d4e460861499a7b814e463cf688f33efc25e69b73a187e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
module
public import Mathlib.Algebra.Group.Prod
public import Mathlib.Algebra.GroupWithZero.Commute
public import Mathlib.Algebra.GroupWithZero.Units.Lemmas
public... |
2,363 | lean_file_chunk | d3f48f44176d06724ad196050a612b2af902cef939ff24d506c509476c86de93 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Yaël Dillies
-/
module
public import Mathlib.Algebra.Group.Prod
public import Mathlib.Algebra.GroupWithZero.Hom
public import Mathlib.Algebra.GroupWithZero.Units.Basic
publi... |
1,593 | lean_file_chunk | b8f51a60da48601fc42a5f68439895cee3338133d9494460280076a02f5eaa2e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
module
public import Mathlib.Algebra.Group.Nat.Defs
public import Mathlib.Algebr... |
2,630 | lean_file_chunk | e1682b2094385cfff89b07cae09aa1a30b54a7d93fea8d595307dc86bf200b47 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
module
public import Mathlib.Algebra.Group.Invertible.Basic
public import Mathlib.Algebra.GroupWithZero.Units.Basic
/-!
# Theorems about invertible elements in a `GroupWi... |
2,436 | lean_file_chunk | fc3c19fedc274008c6b6efecdcdb10731afcf8a909bf797abeb0e03922b97c48 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Algebra.GroupWithZero.Defs
public import Mathlib.Algebra.Group.Hom.Defs
public import Mathlib.Algebra.Group.Pi.Basic
/-!
# Pi instances for g... |
1,887 | lean_file_chunk | 81c62da64e18941f668d5302f1c29a655ae3912dde74ee47a8e7af9306c1d991 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jireh Loreaux
-/
module
public import Mathlib.Algebra.Group.Center
public import Mathlib.Algebra.GroupWithZero.Units.Basic
/-!
# Center of a group with zero
-/
public sect... |
2,909 | lean_file_chunk | eeeeb14776b071cc02020588247bf30d311f819b9f3f1b2b92bf21bbcf453c2d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.GroupWithZero.Semiconj
public import Mathlib.Algebra.Group.Commute.Units
public import Mathlib.Tactic.Nontriviality
/-!
# Lemma... |
18,472 | lean_file_chunk | 36fc0c779e902cc98524acd4745b440fdf2da4e78cfb7b90c1c30bde7007a9b7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Group.Basic
public import Mathlib.Algebra.GroupWithZero.NeZero
public import Mathlib.Logic.Unique
public import Mathlib.Tactic.C... |
1,493 | lean_file_chunk | a7be24dbf28e5b2089668648b72664ad24aeb31e23f52d12ee69394bddbdd28f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Group.ULift
public import Mathlib.Algebra.GroupWithZero.InjSurj
/-!
# `ULift` instances for groups and monoids with zero
This file... |
888 | lean_file_chunk | 67ef698fbc03c0cba92bf96e984aeff13759e486fd89c794066f45da927f09c7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
module
public import Mathlib.Algebra.Group.Conj
public import Mathlib.Algebra.GroupWithZero.Units.Basic
/-!
# Conjugacy in a group with zero
-/
public section
ass... |
9,566 | lean_file_chunk | 0e548a41fc19ec279a3789ba2a052d0d4078599fd291ade5639194a01cdcbeca | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Group.InjSurj
public import Mathlib.Algebra.GroupWithZero.NeZero
/-!
# Lifting groups with zero along injective/surjective maps... |
13,667 | lean_file_chunk | 7688732daaae7b4585e839f335a1c72f2adb3996d6aef205206e91d55218a0ee | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.Algebra.Group.Defs
public import Mathlib.Logic.Nontrivial.Defs
public import Mathlib.Logic.Basic
public import Batteries.Tactic.SeqFocus... |
933 | lean_file_chunk | 64a3fdc798b3c008c0109af07cfcf4d534e948e20c90e85b2f66d487c9cd4a84 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Group.Shrink
public import Mathlib.Algebra.GroupWithZero.Action.TransferInstance
public import Mathlib.Algebra.GroupWithZero.Transfe... |
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