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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
809909d1061d6c5ed91d24afd2b97f7a6704d48d | ca1ad81c8733787aba30f7a8d63f418508e12812 | /clfrags/src/hilbert/wr/proofs/pt_neg.lean | 7c8668651b20c9f786be85f8cbbe07e33f6e8145 | [] | no_license | greati/hilbert-classical-fragments | 5cdbe07851e979c8a03c621a5efd4d24bbfa333a | 18a21ac6b2e890060eb4ae65752fc0245394d226 | refs/heads/master | 1,591,973,117,184 | 1,573,822,710,000 | 1,573,822,710,000 | 194,334,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,492 | lean | import hilbert.wr.pt_neg
namespace clfrags
namespace hilbert
namespace wr
namespace pt_neg
theorem pt₂_neg {a b c : Prop} (h₁ : neg (pt a b c)) : neg (pt b a c) :=
have h₂ : pt (neg a) b c, from ptn₁ h₁,
have h₃ : pt a (neg b) c, from ptn... |
3665f9dbd238d02dc8ddf81b4e71914449df4be8 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/free_monoid.lean | d6d45edf173c2ef72a9276d93ee622223e9f9ebf | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 4,444 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Yury Kudryashov
-/
import data.equiv.basic
import data.list.basic
/-!
# Free monoid over a given alphabet
## Main definitions
* `free_monoid α`: free monoid over alphabet ... |
efec7e6a8b2f875b7a9ff98200d4734be2095e49 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/matrix/notation.lean | b50d25b9b944688f43f8364b4e457a5533313908 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 11,018 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
Notation for vectors and matrices
-/
import data.fintype.card
import data.matrix.basic
import tactic.fin_cases
/-!
# Matrix and vector notation
This file defines notation ... |
0700b1f3b5a20248a8fa555f22fcc5ea31dc73ee | ec5e5a9dbe7f60fa5784d15211d8bf24ada0825c | /src/Alignment.lean | 6337f78b752eb7eae21b1014f675e8538656d494 | [] | no_license | pnwamk/lean-llvm | fcd9a828e52e80eb197f7d9032b3846f2e09ef74 | ebc3bca9a57a6aef29529d46394f560398fb5c9c | refs/heads/master | 1,668,418,078,706 | 1,593,548,643,000 | 1,593,548,643,000 | 258,617,753 | 0 | 0 | null | 1,587,760,298,000 | 1,587,760,298,000 | null | UTF-8 | Lean | false | false | 3,174 | lean |
import Init.Data.RBMap
namespace RBNode
universes u v
variables {α : Type u} {β : α → Type v}
section
variable (lt : α → α → Bool)
@[specialize] def upperBound : RBNode α β → α → Option (Sigma β) → Option (Sigma β)
| leaf, x, ub => ub
| node _ a ky vy b, x, ub =>
if lt x ky then upperBound a x (some... |
d6788c1d00764a2609ae152ffe4bcdc1f24a46f3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/dynamics/omega_limit.lean | ccdbced232442a8ff42cb461be4bf241a55be254 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 16,642 | lean | /-
Copyright (c) 2020 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import dynamics.flow
/-!
# ω-limits
For a function `ϕ : τ → α → β` where `β` is a topological space, we
define the ω-limit under `ϕ` of a set `s` in `α` with respect to
filter `f... |
3afefa6c700ec6b0592daa46cf34de654ad3803c | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Init/Data/UInt.lean | e6bf545e2aa1671551bfb1e0423242d26d5564cd | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,812 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Fin.Basic
import Init.System.Platform
open Nat
@[extern "lean_uint8_of_nat"]
def UInt8.ofNat (n : @& Nat) : UInt8 := ⟨Fin.ofNat n... |
09d6166a357efbaccb3234134a2583eb8f9826c2 | 4727251e0cd73359b15b664c3170e5d754078599 | /archive/imo/imo2008_q3.lean | ce940546064a30a6679198216961bf74850c038d | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,833 | lean | /-
Copyright (c) 2021 Manuel Candales. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Manuel Candales
-/
import data.real.basic
import data.real.sqrt
import data.nat.prime
import number_theory.primes_congruent_one
import number_theory.legendre_symbol.quadratic_reciproc... |
409e3447947dacdf35b4c469bda831c6c7e834f7 | 4ad6af7525e674c3cdc623c1495472954f3ce34c | /src/02_three_languages.lean | 7bdedf6d12ac37786604c335723e44532c2c4362 | [] | no_license | alcides/lean3_tutorial | 4bf48026f7cfa5ae80e9a75f46ca23364d455810 | 7a871e00c4fd5cb000929a59e1bd804a626ef277 | refs/heads/master | 1,663,719,613,974 | 1,591,141,389,000 | 1,591,141,389,000 | 268,600,781 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,947 | lean | import system.io
open io
/-
One of the good things about Lean is that you can see it as three different languages.
While all the languages are actually the same, this purely artificial distinction is
quite helpful for learners.
The next function is a typical function-programming style hello world using monads.
If ... |
727c9af4984a4cd9264da522d0737ae5ee7e8472 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1813.lean | c1e82c60469b80c2166f2ab42c8242cfa8942b09 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 160 | lean | example [Add α] [Neg α] [Mul α] [∀ n, OfNat α n] {a b : α} :=
calc
4 + 5 * b = -6 + 5 * (b + 2) := sorry
_ = -6 + 5 * 3 := sorry
|
3df3d99ae9614436dfdea264f752986acd5904c9 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/fintype/card.lean | 015cc06d268abaa0f9b114ba4d6389a4a25d70f2 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,263 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.basic
import algebra.big_operators.ring
/-!
Results about "big operations" over a `fintype`, and consequent
results about cardinalities of certai... |
86e672156cde8af932c71bd23d0fbe5dcb72e588 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/intervals/pi.lean | 44062039f587c9a9331e4e3a1ce34fd535d2ce8e | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,387 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.intervals.basic
import Mathlib.data.set.lattice
import Mathlib.PostPort
universe... |
915acd194a4804dbfca081498575554beed7a876 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/lucas_primality.lean | 8e565130d18e06a1ff21003ef2c192d4b1d4e2ac | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,698 | lean | /-
Copyright (c) 2020 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import data.fintype.basic
import group_theory.order_of_element
import tactic.zify
import data.nat.totient
/-!
# The Lucas test for primes.
This file implements the Lu... |
c163c054703dbf06b0cbcbafebcf04c4c4aa0605 | e0b0b1648286e442507eb62344760d5cd8d13f2d | /tests/lean/interactive/goalIssue.lean | b46c5591633170f47c8341490455279ca30eb81b | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 261 | lean | theorem foo1 (x : Nat) : 0 + x = x := by
first
| skip; have x + x = x + x from rfl; done
--^ $/lean/plainGoal
| simp
theorem foo2 (x : Nat) : 0 + x = x := by
induction x with
| zero => done
--^ $/lean/plainGoal
| succ => done
|
c34cac387425dd995eab357525398fc088856690 | 1dd482be3f611941db7801003235dc84147ec60a | /src/data/set/function.lean | 6ae7247495b1b1d304c4c8f55e01e254dc7277dd | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 10,790 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu
Functions over sets.
-/
import data.set.basic logic.function
open function
namespace set
universes u v w x
variables {α : Type ... |
abf2063de1e1ac7a9131994ba52715b5a60c7f8b | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.11.lean | bd79dd9252c794f87fd428760d76bcacf9331407 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 312 | lean | import standard
import data.nat.order
open nat
-- BEGIN
check @add_lt_add_right
definition foo (n m k : ℕ) (H : n < m) : n + k < m + k := !(add_lt_add_right H)
example {n m k l : ℕ} (H : n < m) (K : m + l < k + l) : n < k + l :=
calc
n ≤ n + l : !le_add_right
... < m + l : !foo H
... < k + l : K
-- END
|
f1cb725661641505af7779f24349eeac13c8de1e | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/category_theory/adjunction/mates.lean | f660fab2d236f10d295e2c2fc34420fa1568ff64 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,531 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Bhavik Mehta
-/
import category_theory.adjunction.basic
import category_theory.conj
import category_theory.yoneda
/-!
# Mate of natural transformations
This file establishes the bijecti... |
97524822491fd7c30b9fdfb68cb8816376a400ad | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc12.lean | 6640000d2f6f93773dbe0080140330c1af50a33b | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 388 | lean | set_option blast.subst false
set_option blast.simp false
set_option pp.all true
definition foo1 (a b : nat) (p : Prop) : a = b → (b = a → p) → p :=
by blast
print foo1
definition foo2 (a b c : nat) (p : Prop) : a = b → b = c → (c = a → p) → p :=
by blast
print foo2
definition foo3 (a b c d : nat) (p : Prop) : a ≠ ... |
5ed159dde8876230b799a6d61368b97580ef8388 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.6.lean | b3ff88c69d126492f221eeb03b88e414d065e9da | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 135 | lean | import standard
theorem test (p q : Prop) (Hp : p) (Hq : q) : p ∧ q ∧ p :=
begin
apply (and.intro Hp); exact (and.intro Hq Hp)
end
|
452813bafbbc768f69ebaa65b51d973cb38b775f | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/tools/super/defs.lean | 5363b9f3a10a636805b66cdae53c9f54de28097d | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,095 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open tactic expr monad
namespace super
meta def try_unfold_one_def (type : expr) : tactic expr :=
dunfold_expr_core transparency.all ... |
8488ef336a6287e0aff9cfdf861e891ccac59510 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/rb_map.lean | 8dde0c19cad0098029cf9f31376d35dace7c7418 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 7,563 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
-/
prelude
import init.data.ordering init.function init.meta.name init.meta.format init.category.monad
meta constant {u₁ u₂} rb_map : Type u₁ →... |
eb4b0d5787e76bc7d989ab253335c4f2954df8c5 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /transpostions.lean | 7c6dcd9e304183b49841db43dd7103ed30bd33c4 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,487 | lean | import group_theory.subgroup data.equiv.basic data.fintype algebra.big_operators
open equiv
variables {α : Type*}
def is_transposition (f : perm α) : Prop :=
∃ x y, f x = y ∧ f y = x ∧ ∀ a, a ≠ x → a ≠ y → f a = a
lemma is_transposition_inv {f : perm α} : is_transposition f →
is_transposition (f⁻¹) :=
λ ⟨x, y, h⟩... |
4a8173b19c561496d490b7d6293b9effb76ce4b9 | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /tests/lean/run/revert_tac.lean | e873457e1c3a09ed51d0da89395c12788310399b | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 516 | lean | import logic
theorem tst {a b c : Prop} : a → b → c → a ∧ b :=
begin
intros (Ha, Hb, Hc),
revert Ha,
intro Ha2,
apply (and.intro Ha2 Hb),
end
theorem foo1 {A : Type} (a b c : A) (P : A → Prop) : P a → a = b → P b :=
begin
intros (Hp, Heq),
revert Hp,
apply (eq.rec_on Heq),
intro Hpa,
apply Hpa
end
... |
4bc92b91386eb027311675203ef9b32caac8da9c | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/field_theory/perfect_closure.lean | 5a292ad4b7e00fc1d9aa2bdf437ec151d4de660c | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 17,184 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau
The perfect closure of a field.
-/
import algebra.char_p
universes u v
/-- A perfect field is a field of characteristic p that has p-th root. -/
class perfect_field (α : Type u... |
63db26c87bd04e1c9f27f4fef2082deb4959209b | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/partition_of_unity.lean | d848c9618af08ab3d205f450fabbf6724d417e1c | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,410 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.big_operators.finprod
import topology.urysohns_lemma
import topology.paracompact
import topology.shrinking_lemma
import topology.continuous_function.... |
59ef5ef579c2b995547367ef1a06fd2b12f3f588 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/tensor_algebra/basic.lean | a4bb65422be10a1d621998b1b9bb2fcd8c4b9900 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 10,070 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import algebra.free_algebra
import algebra.ring_quot
import algebra.triv_sq_zero_ext
import algebra.algebra.operations
import linear_algebra.multilinear.basic
/-!
# Tensor A... |
802b9ec18d091238bcb6130e7ae4be5a6a9c845a | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/meta_expr1.lean | 4e59086b40c6b0274a512b3a450f65fca09d6e9e | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 1,772 | lean | open unsigned list
meta definition e1 := expr.app (expr.app (expr.const `f []) (expr.mk_var 1)) (expr.const `a [])
meta definition e1' := expr.app (expr.app (expr.const `f []) (expr.mk_var 1)) (expr.const `a [])
meta definition tst : e1 = e1' :=
rfl
#eval e1
#eval expr.fold e1 (0:nat) (λ e d n, n+1)
meta definiti... |
a1dda8bcc406e8fc1a2c33b193eade1a9640a910 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/Notation.lean | 072628dcfbedba85174b3e63a4afb3fc8b277b64 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 7,466 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Syntax
import Lean.Elab.AuxDef
import Lean.Elab.BuiltinNotation
namespace Lean.Elab.Command
open Lean.Syntax
open Lean.Parser.Term hiding ... |
d659f90e6c955213de86e4b0fb656ea08715a4b1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/natural_isomorphism.lean | 20414563146b5101bfded5df637e1cdf70c6fc8d | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 7,372 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor_category
import category_theory.isomorphism
/-!
# Natural isomorphisms
For the most pa... |
4a5b8fda05f58f91810c9fd55e6741801bac975a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/ordering/basic_auto.lean | abe38c5ebbf483e2850c2a4809f0a6488a4b15e7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,268 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.repr
import Mathlib.Lean3Lib.init.data.prod
import Mathlib.Lean3Lib.init.data.sum.basic
universes ... |
161cd1dec019ac71c936d09dba03dd2f3dee4d89 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/Bind.lean | 06a4b7ecf540bb7d573dc50539d213f9fa4374f9 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 4,981 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.InferType
namespace Lean.Compiler.LCNF
/-- Helper class for lifting `CompilerM.codeBind` -/
class MonadCodeBind (m : Type → Type... |
b67aa4c1676e911ab329404d93d243fb99665e91 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/measure_theory/l1_space.lean | 9e563aa543fe8dbfdbcbb837dc73371d01a28028 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 28,744 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.ae_eq_fun
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic properties ... |
4e4e525361cf9e013c6f985e20d5216481204c5d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/imp3.lean | b82d21cf3c5a9303936b179e3032c4f4ad8dcf06 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 235 | lean | structure is_equiv [class] {A B : Type} (f : A → B) :=
(inv : B → A)
check @is_equiv.inv
namespace is_equiv
section
parameters A B : Type
parameter f : A → B
parameter c : is_equiv f
check inv f
end
end is_equiv
|
fd4342f01f8a6a2b9a4c31e055c60af24ceff37b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/function/continuous_map_dense.lean | 949035b8da651c50e14e897f777e5741fc4f2407 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 10,160 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import measure_theory.measure.regular
import measure_theory.function.simple_func_dense_lp
import topology.urysohns_lemma
import measure_theory.function.l1_space
/... |
2155ec1e85b3ee9878fbbfc882f341f881ac6262 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /library/theories/analysis/inner_product.lean | c294d8bd3b1ebee894f4bf393c4adeb51b78d493 | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,685 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Real inner product spaces.
Note: We can enter ⟨v, w⟩ as \<v, w\>. This file overwrites the notation for dependent pairs.
-/
import theories.analysis.normed_space theorie... |
4d1b1de54a644d2866ddccf13a4c7e4f0fa05944 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Server/InfoUtils.lean | 4a6f9050c9fae3c1e169c004af0dc1d9546a14d1 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 13,911 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.PrettyPrinter
namespace Lean.Elab
/-- Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back ... |
dee76aa743f842b4e68d96c3e3cd310f0f3560f4 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/geometry/manifold/smooth_manifold_with_corners.lean | d6dcffecaffa90938f8bfe0a15deb74a80636355 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 38,627 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold i... |
ecfd0f8b453647e6058256613a4cd51e1f6b9502 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/invertible.lean | a72964b00257f478134a77018126873901ed4c3c | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,097 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
A typeclass for the two-sided multiplicative inverse.
-/
import algebra.char_zero
import algebra.char_p
/-!
# Invertible elements
This file defines a typeclass `invertible ... |
3dd99a06cc05826e6afaf7cca187dc51539bd99a | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/Generic/Instances/Categories.lean | 6d4040066755677afdd081cd35d6967ebc1b6eba | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,211 | lean | #exit
import Structure.Generic.Axioms
import Structure.Generic.Instances.Basic
import Structure.Generic.Instances.Bundled
import Structure.Generic.Functors
open GeneralizedRelation
set_option autoBoundImplicitLocal false
set_option pp.universes true
universes u u' v v' w w'
section BundledCategories
variabl... |
0b15bd8c48b2dc6fd67924ce4659c1e7fbb572c7 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/real/ennreal.lean | 9c26fc425b833aeb7a6dcdb25e8f0c02763095c1 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,892 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import data.real.nnreal
import data.set.intervals
/-!
# Extended non-negative reals
We define `ennreal = ℝ≥0∞ := with_no ℝ≥0` to be the type of ext... |
a306ef4a1aae5324a8dabd3578ccbaeb6d2ea856 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/specific_groups/dihedral.lean | 889f538502344b686af5586d53e071094c014cd7 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,915 | lean | /-
Copyright (c) 2020 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import data.zmod.basic
import group_theory.exponent
/-!
# Dihedral Groups
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspondin... |
502f9c71d48e255d10fe7f9759b7dc5b3a6000d0 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/unfold_crash.lean | c46021fcb3e6c0749a599489b77ef7066c66ce69 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 198 | lean | --
open nat tactic
example (a b : nat) : a = succ b → a = b + 1 :=
by do
H ← intro `H,
try (unfold_at [`nat.succ] H),
unfold [`add], dsimp, unfold [`nat.add],
trace_state,
assumption
|
446112a9d70f5ee528e50e3c74bafc85fad23a38 | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/vrel/map.lean | 6a6eadff2c9298abc3c6c9bf3b540d83f0408102 | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 2,718 | lean | /-
This file contains declarations for mapping one `vrel` to another.
-/
import .update
namespace acie -----------------------------------------------------------------
namespace vrel -----------------------------------------------------------------
variables {V : Type} [decidable_eq V] -- Type of variable names
v... |
8674289d9c1234c10a6705e2c4fe36920d353c5d | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_1320.lean | 27d947c174fca413b670954f440d3357c04af4a4 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 713 | lean | variables p q r : Prop
theorem imp_trans1 : (p → q) → (q → r) → (p → r) :=
λ h₁ h₂ h₃, h₂ (h₁ h₃)
-- BEGIN
example (h₁ : p ↔ q) (h₂ : q ↔ r) : p ↔ r :=
begin
split, -- By iff intro., it suffices to prove `p → r` and `r → p`.
{ show p → r, apply imp_trans1, -- We show `p → r`. By transi... |
2362ac1ba9043028d7ca31430186534129c416d8 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/finally.lean | 3e6999276ecfc733a3ce42de3d9fb972ef574bf3 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,855 | lean | new_frontend
def checkM (b : IO Bool) : IO Unit :=
unlessM b (throw $ IO.userError "failed")
abbrev M := ExceptT String $ StateRefT Nat $ IO
def f1 : M Nat :=
throw "error 1"
def f2 : M Nat :=
throwThe IO.Error $ IO.userError "error 2"
def tst1 : M Nat :=
«catch»
(«finally» f1 (do set 100; IO.println "finisher e... |
9cb163526820740fc0020309f338ca3cf12f9de1 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/group_theory/group_action/basic.lean | e264febc6ba9c1ee4b5e12b7b391b479c77848cd | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 12,669 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.hom.group_action
import group_theory.group_action.defs
import group_theory.group_action.group
import data.setoid.basic
import data.fintype.card
/-!
# Basi... |
c782a1429c1d969cf182e5375fb7ad787d2f5d77 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/homotopy/basic.lean | 7deeee09350bc9769f4801ddac1beccdff91701f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 20,466 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.algebra.order.proj_Icc
import topology.continuous_function.ordered
import topology.compact_open
import topology.unit_interval
/-!
# Homotopy between f... |
d78499f02df9db938c886364356b17d2844dad19 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/585c.lean | bb0cbaa27cc246be177d6ff4925f2f6b990ac6eb | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 723 | lean | namespace list
inductive perm {α} : list α → list α → Prop
| nil : perm [] []
| cons : Π (x : α) {l₁ l₂ : list α}, perm l₁ l₂ → perm (x::l₁) (x::l₂)
| swap : Π (x y : α) (l : list α), perm (y::x::l) (x::y::l)
| trans : Π {l₁ l₂ l₃ : list α}, perm l₁ l₂ → perm l₂ l₃ → perm l₁ l₃
infix ` ~ `:50 := perm
@[refl] pro... |
4f9e404fe5637a4c39125dc64933d58c15650f0a | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/list/range.lean | d1337de1c598025053590b25657934c8a140b7c7 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 8,416 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Scott Morrison
-/
import data.list.chain
import data.list.nodup
import data.list.of_fn
open nat
namespace list
/- iota and range(') -/
universe u
variabl... |
29a76e212f917bfa6403659f8216f639ec0991f5 | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/imap.lean | 63984fd9d9bcf1cb8777718032695d2b93af1148 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 931 | lean | /- A simple interval map -/
structure {u v} data.imap.imap_entry (k : Type u) (val : Type v) : Type (max u v) :=
(start : k)
(extent : k)
(value : val)
def {u v} data.imap (k : Type u) (val : Type v) (lt : k -> k -> Prop)
:= list (data.imap.imap_entry k val)
namespace data.imap
section
universes u v
param... |
db25385559076be225d8a2ba56e5792c8f7c6ce6 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/rat.lean | 737f416d316fa57d9704965219d4904c1f3e1f34 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 308 | lean | import data.rat.meta_defs
run_cmd let q : ℚ := 3/15 in
guard $ (reflect q : expr) = `((1/5 : ℚ))
constants (α : Type) (h : field α)
attribute [instance] h
run_cmd guard $ expr.eval_rat `(1/3 - 100/6 : α) = some (-49/3)
run_cmd guard $ (expr.eval_rat ∘ rat.reflect) (-(5/3) : ℚ) = some (-5/3)
|
df48dd099343efda091cc6e7b289fa2b35c243d4 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/data/set/finite.lean | fe1f840cba7a7bfac187c274abd7276b25588c04 | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 22,874 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Finite sets.
-/
import logic.function
import data.nat.basic data.fintype data.set.lattice data.set.function
open set lattice function
universes u v w ... |
64aa29205f74b7b2864ab03598fdc93183cf8905 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/linear_algebra/finsupp.lean | 1de22e5e4219c643f4adcf126aeb490812869ba1 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,882 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `α →₀ M`.
-/
import algebra.monoid_algebra
noncomputable theory
open set linear_map submodule
open_locale classical ... |
94ce39cad58d9467a8bbdafe0d021ee51b7d6fc8 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/matrix/nonsingular_inverse.lean | 3d4c3178cd707f0074846d6442527051faed69ce | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,587 | lean | /-
Copyright (c) 2019 Tim Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baanen, Lu-Ming Zhang
-/
import algebra.regular.smul
import data.matrix.notation
import linear_algebra.matrix.polynomial
import linear_algebra.matrix.adjugate
/-!
# Nonsingular invers... |
2e82cad3cb6c0e0c98f70ceb1c51009d335f73fd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/homology/additive.lean | 072555a1eabcea49b3cb4a96da9e07ad69d9aa4a | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 11,209 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.homology.homology
import algebra.homology.single
import category_theory.preadditive.additive_functor
/-!
# Homology is an additive functor
When `V` i... |
9352b6e7f95b67d8661d63bcf7330fe297c3ba20 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/inner_product_space/l2_space.lean | 518ff11a4b9a9155bdb409b6101e00204bcc723e | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 24,802 | lean | /-
Copyright (c) 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.inner_product_space.projection
import analysis.normed_space.lp_space
import analysis.inner_product_space.pi_L2
/-!
# Hilbert sum of a family of inn... |
f82c3cda4e7ae765a8f34bff63accadc33198f95 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebraic_geometry/AffineScheme.lean | 114556cb2195b4ae9598e0e50c2ebf2b700355a5 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 32,380 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.Gamma_Spec_adjunction
import algebraic_geometry.open_immersion
import category_theory.limits.opposites
import ring_theory.localization.inv_submono... |
4e5b358e83f814f50b66a9586593f3e3cd2a4110 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/simpperf/simp1000.lean | 9db027639bbb4fa228783ac5a2dd33aa20f8fdec | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 84,599 | lean | axiom f (x : Prop) : Prop
axiom g0 (x : Prop) : Prop
axiom g1 (x : Prop) : Prop
axiom g2 (x : Prop) : Prop
axiom g3 (x : Prop) : Prop
axiom g4 (x : Prop) : Prop
axiom g5 (x : Prop) : Prop
axiom g6 (x : Prop) : Prop
axiom g7 (x : Prop) : Prop
axiom g8 (x : Prop) : Prop
axiom g9 (x : Prop) : Prop
axiom g10 (x : Prop) : P... |
d1e4463925d02e27a7473c6f07a6772f9f2324dd | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/normed_space/multilinear.lean | f18235c17b4c359826fe0b333dec52e88133c0b6 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 73,325 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
b81116cb2e417842f335bad7680b0bd114b1da5e | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/deprecated/subfield.lean | 12239b30ba1742a87f9d26362487fa609bb55cf0 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,829 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
import algebra.group_with_zero.power
/-
# Unbundled subfields
This file introduces the predicate `is_subfield` on `S : set F` where `F... |
86fd14c7ec8c89c24983c6697ef3199e4e2a2028 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/finsupp/basic.lean | b33c567e7b050a05d0dbcff23b3a91288f7874fe | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 79,236 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import algebra.group.pi
import algebra.big_operators.order
import algebra.module.linear_map
import data.fintype.card
import data.finset.preimage
impor... |
6c2824823df2b2f8d22ccce9d64ddcb61b3df977 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/strongly_regular.lean | 05fb2fda4ad5c66e6812266f9b66c6d45ae23491 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,145 | lean | /-
Copyright (c) 2021 Alena Gusakov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alena Gusakov
-/
import combinatorics.simple_graph.basic
import data.set.finite
/-!
# Strongly regular graphs
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requ... |
c2628ac34ac0f7fa2486ebcd940eb1eac8c159eb | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/mllist.lean | 6be6c5ef6d7f931c6d988e5090f8783c162cd736 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 4,762 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carnerio, Keeley Hoek, Simon Hudon, Scott Morrison
Monadic lazy lists.
The inductive construction is not allowed outside of meta (indeed, we can build infinite objects).
This is... |
b97002ff47fe5e8215fd66207c85fa632f3f4043 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/continuous_function/compact.lean | 7b83f26c73a942af39e2775fd2bb60f979ff541d | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 18,817 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.continuous_function.bounded
import topology.uniform_space.compact
import topology.compact_open
import topology.sets.compacts
/-!
# Continuous functio... |
9aa638c289f6a0ffbdbcf47619e573afe0f6cea4 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/normed_space/conformal_linear_map.lean | 2ca1d2a0a6c12621c195e66f484a88b0dc0be9a0 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,017 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.normed_space.inner_product
/-!
# Conformal Linear Maps
A continuous linear map between `R`-normed spaces `X` and `Y` `is_conformal_map` if it is
a nonze... |
c7b6b3fd8feefee926fd61a5d35dd21f9c6ba56d | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/finset.lean | 4b65aa362f8471a42e575a23ade1f3bfca9fba85 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 1,800 | lean | import data.finset
local attribute [instance] classical.prop_decidable
namespace finset
open function
variables {α : Type*} {β : Type*} (t : finset β) (f : α → β)
set_option pp.proofs true
lemma exists_finset_of_surjective (h : surjective f) :
∃ (s : finset α), s.image f = t :=
⟨t.bind $ λ b, singleton $ classica... |
ba34b5deabebf512775d4936706db7751c3fec53 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/binopIssues.lean | 200dd92bc34e6be8a1c85ab203789c1eb559cd14 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 245 | lean | axiom Int.add_comm (i j : Int) : i + j = j + i
example (n : Nat) (i : Int) : n + i = i + n := by
rw [Int.add_comm]
def f1 (a : Int) (b c : Nat) : Int :=
a + (b - c)
def f2 (a : Int) (b c : Nat) : Int :=
(b - c) + a
#print f1
#print f2
|
ee7da79439187358953aa4c2dc56d6df125cef57 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /elaborate/mul_cancel_induction.lean | bf2a14fd5f00c87b23b3355f56c2f99a17888cd0 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 88,091 | lean | mynat.rec
(λ {m k : mynat} (hmn0 : m = zero → false) (hmk0 : zero = mul m k),
eq.rec (eq.refl k)
(mynat.rec
(eq.rec true.intro
(eq.rec (eq.refl ((m = zero → false) → zero = zero → zero = zero))
(eq.rec
(propext
{mp := λ (hab :... |
f4cb476657fd5600f7d5d369433fa6e0078da927 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/biproducts_auto.lean | 386f2c6d371f14d17ae8b10fb430c34a2c97e089 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,424 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.finite_products
import Mathlib.category_theory.limits.shapes.... |
bbe3f899071bf18f062ee782ef08f73a6a8b1d65 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/category_theory/abelian/projective.lean | 2f399ba62b6bb7ca65708f0962d61fb579d40530 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 898 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.abelian.exact
import category_theory.preadditive.projective
/-!
# Abelian categories with enough projectives have projective res... |
7aed4db8932243e1d521e930591c6954734800b1 | ac076ebc286fa9b7a67171f6cd11eb98b263d6ef | /src/SES.lean | 5149d17a638a40766326f5c5eb2c1fd34829fc1c | [] | no_license | Shamrock-Frost/jordan-holder | e891e489d00f8ff9e29c47b3083f22cac7804efb | bab3daccd70a4f3c5b25731b899a2cd72d7b8376 | refs/heads/master | 1,594,962,465,041 | 1,576,197,432,000 | 1,576,197,432,000 | 205,951,913 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,776 | lean | import group_theory.subgroup
import group_theory.quotient_group
import group_theory.category
import .category_theory
open category_theory
universe u
structure SES (A B C : Group.{u}) :=
(f : A ⟶ B) (g : B ⟶ C)
(f_inj : function.injective f)
(g_surj : function.surjective g)
(im_f_eq_ker_g : set.range f = is_group_hom.k... |
c46105f03b040949f8da53880e4ff949f75e8ef6 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/tactic/core.lean | d10b500fa363454d5262f5435550aa5967a6efae | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 84,275 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic
import control.basic
import meta.expr
import meta.rb_map
import data.bool
import tactic.lean_core_do... |
d869a9a6fe9ccd54f8ac56d7e3ccece65ebc0a89 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/functor_category.lean | c867cc0cd9ef5455405679717acdf02e32da56df | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 18,309 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.preserves.limits
/-!
# (Co)limits in functor categories.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require... |
1e46de45316e0c08f4370884f856e3a36137947d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Term.lean | 3e2120893da5596e7d78f748bc2bfbd1aabeb3e0 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 79,774 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.ResolveName
import Lean.Log
import Lean.Deprecated
import Lean.Util.Sorry
import Lean.Util.ReplaceExpr
import Lean.Structure
... |
ea7f7c64a95c37594fb3e6d160dbb8a46e1e010d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/lint/misc.lean | 3aefc3d101946f7bc0d8de04b8fa5bb4e64a216d | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 21,178 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis
-/
import data.bool.basic
import meta.rb_map
import tactic.lint.basic
/-!
# Various linters
This file defines several small linters:
- `ge_or_gt... |
8f7a897bb62e7c82e8b0d8ff5fe69760e42b6173 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/data/option_t.lean | 3f572a02c8e1311a1efdf82fff054126847d021e | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,092 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.interactive
universes u v
def option_t (m : Type u → Type v) [monad m] (α : Type u) : Type v :=
m (option α)
@[inline] def optio... |
f0ba3e321100cada7ba48a031e540c2032722140 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/finsupp.lean | 260c88bd60c15f16b79dca8887856465b584300e | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 67,805 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset data.set.finite algebra.big_operators algebra.module
/-!
# Type of functions with finite support
For any type `α` and a type `β` with zero, we ... |
11c71b0e00f88124fa657903e5a591f5daeede6e | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/geometry/manifold/charted_space.lean | 3ab18e6f002da536422a3e19903f5e5b1bb1756d | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 41,874 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Charted spaces
A smooth manifold is a topological space `M` locally modelled on a euclidean space (or a euclidean
half-... |
dc25223ee19852e72fd20ca41568b7bf4652a4e8 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/data/enumeration.lean | 527c2d601b93ee3d6c888f37d6f440928308b86f | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,318 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file defines a typeclass for types α with an ordered
enumeration of the elements (as opposed to a `fintype`
instance, which is an unordered enumeration). This... |
7c98e72b4c193953410cb945ed199f0abe809f50 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/measure_theory/l1_space.lean | f3ed92d6f942fffe5aecccc74528a2c16957d82b | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 29,960 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.ae_eq_fun
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic properties o... |
1c4efcf330acfcdd50a16830a055e574fff2ed10 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/abelian/non_preadditive.lean | c9013e51d9e808aa7a057f6f18260c7a270cd77c | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 32,457 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.kernels
import category_theory.limits.shapes.pullbacks
import category_theory.... |
f6c1ac3bd612262589af88751ca403f220727845 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world4/level5.lean | e6ef0305a06cdac1ee1208e4701cbebc9063f767 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 296 | lean | import game.world4.level4 -- hide
namespace mynat -- hide
/-
# Power World
## Level 5: `pow_add`
-/
/- Lemma
For all naturals $a$, $m$, $n$, we have $a^{m + n} = a ^ m a ^ n$.
-/
lemma pow_add (a m n : mynat) : a ^ (m + n) = a ^ m * a ^ n :=
begin [nat_num_game]
end
end mynat -- hide
|
c703024cd048483dee4fbcfe94b51fccb958585a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/hom/group.lean | c67dbb5c7e05c25bfd112398ec54e27ad13b7cc7 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 52,916 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.commute
import algebra.group_with_zero.defs
impor... |
215e4817b411c49f9c93ed683fb7ea42be3be089 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/module/ulift.lean | 9d4bb1bfc1239a306108ffd77bd1cfa70609cea0 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 4,307 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.ring.ulift
import algebra.module.equiv
/-!
# `ulift` instances for module and multiplicative actions
This file defines instances for module, mul_acti... |
6d6b2698ad8c24484f742c2fafcc101a7db0f309 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unnecessaryUnfolding.lean | b18a1575e969c3b2e6ce46cf4e9b2475e3e83c1d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 145 | lean | import Lean
open Lean
abbrev M := StateRefT Nat IO
def M.run (x : M α) (s := 0) : IO α :=
x.run' s
variable (x : M Unit)
#check id x.run
|
9dd42a3ac643d64e8855c6dd907f986a80ff05de | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Meta/Instances.lean | 59aeb54f07d3dedab69a3e42398740f8999561b4 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 4,922 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.ScopedEnvExtension
import Lean.Meta.DiscrTree
namespace Lean.Meta
structure InstanceEntry where
keys : Array DiscrTree.Key
val ... |
f638820ef86eb5ac0fea6b0fed62404f9cc1626c | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/meta/environment.lean | 86f0c600e85025480e7848f2e6ccbd2fa4891982 | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 10,699 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.declaration init.meta.exceptional init.data.option.basic
import init.meta.rb_map
/-- An __environment__ contains all of the declar... |
47a272028a70962f5dc82a43266148587d1c211c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/sharecommon.lean | c4db313573c83b99e528ceb938fc66a32de8104f | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3,948 | lean | import Lean.Util.ShareCommon
open Lean.ShareCommon
def check (b : Bool) : ShareCommonT IO Unit := do
unless b do throw $ IO.userError "check failed"
unsafe def tst1 : ShareCommonT IO Unit := do
let x := [1]
let y := [0].map (fun x => x + 1)
check $ ptrAddrUnsafe x != ptrAddrUnsafe y
let x ← shareCommonM x
let y ← sha... |
e33502d97be40c8a6e8cdbbc1ada11c2dca4e8b3 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tut_104.lean | 86e521155148ecd3eb1a24709ed6ea584c0e3099 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 1,190 | lean | import data.set
namespace function
section
open set
variables {A B : Type}
set_option pp.beta false
lemma injective_eq_inj_on_univ₁ (f : A → B) : injective f = inj_on f univ :=
begin
esimp [injective, inj_on, univ, mem],
apply propext,
apply iff.intro,
intro Pl a1 a2,
rewrite *true_imp,
... |
f5b6b197c7f3d7bf47e8c16a7bca7289e84d4253 | e6b8240a90527fd55d42d0ec6649253d5d0bd414 | /src/meta/expr.lean | 2498ba2ac2993f2b7ea7a97d96df1c843d633975 | [
"Apache-2.0"
] | permissive | mattearnshaw/mathlib | ac90f9fb8168aa642223bea3ffd0286b0cfde44f | d8dc1445cf8a8c74f8df60b9f7a1f5cf10946666 | refs/heads/master | 1,606,308,351,137 | 1,576,594,130,000 | 1,576,594,130,000 | 228,666,195 | 0 | 0 | Apache-2.0 | 1,576,603,094,000 | 1,576,603,093,000 | null | UTF-8 | Lean | false | false | 25,494 | lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek, Robert Y. Lewis
-/
import data.string.defs
/-!
# Additional operations on expr and related types
This file defines basic ope... |
3816212b3f0cd28916849395a1aad563505d72fe | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/tactic/solve_by_elim.lean | 01156d5fff9a5cbf330e45dae2cb3c117ecf1894 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 6,812 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import tactic.core
namespace tactic
/--
Builds a collection of lemmas for use in the backtracking search in `solve_by_elim`.
* By default, it includes al... |
d37b9176b3c69de8779e04e4f2e24175399a4c1a | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/meta3.lean | 30183b44d3caaa7bc8442727a533cc6b3bba538e | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,782 | lean | import Lean.Meta
open Lean
open Lean.Meta
def dbgOpt : Options :=
let opt : Options := {};
let opt := opt.setBool `trace.Meta true;
-- let opt := opt.setBool `trace.Meta.check false;
opt
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unlessM x $ throwE... |
b57feac56e1371829a2f4e401b1fef896f0857c3 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /archive/100-theorems-list/83_friendship_graphs.lean | f0e9917d046d0cee4441459797f490d5b60ce360 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,773 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller
-/
import combinatorics.simple_graph.adj_matrix
import linear_algebra.char_poly.coeff
import data.int.modeq
import data.zmod.basic
import tacti... |
6f69af34e1870caba64ac792a0eade3c392afc37 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/MoufangLoop.lean | 1e58d9b5d7c51f94f5885e8f8397bdceb3a6ff8b | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,429 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section MoufangLoop
structure MoufangLoop (A : Type) : Type :=
(op : (A → (A → A)))
(e : A)
(lunit_e : (∀ {x : A} , (op e x) = x))
(runit_e : (∀ {x : A} ,... |
c1c41306cdc6b4fb22ba80a948723603c51d8f65 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/topology/metric_space/basic.lean | 623643ba4c29e760365e483f7e74c70b39588ba3 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 77,017 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
8c58ed744848756fc5e5f3e6734a0dd45fe0ac7e | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/geometry/manifold/instances/real.lean | 495f61c15ec32275a12d668e0c440fb9aca279bf | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 13,574 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import geometry.manifold.algebra.smooth_functions
import linear_algebra.finite_dimensional
import analysis.normed_space.pi_Lp
/-!
# Constructing examples of ma... |
e3362bd98ed362215d57f948c84a8a6c16213976 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/unit/basic.lean | df303f48e074fb0297db6e17bc5e6458e7d5a28a | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 213 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
inductive unit.{l} : Type.{l} :=
star : unit
|
ac3fcec63c59be4cab4224e939bd59456676587b | 1d335ec6ac4181a0a762b12797936770cc9fcef9 | /eval/geometryEval.lean | ec3bfdbef6ba7637588c7ff8f84109605595435a | [] | no_license | rohanrajnair/lang | dbadcc3997e44245ca84d48dc1733cf09a2605a6 | 3beb4e29d8faa692983a55fa18acb6eb947134e8 | refs/heads/master | 1,672,640,379,424 | 1,597,948,771,000 | 1,597,948,771,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 260 | lean | import ..imperative_DSL.environment
open lang.classicalGeometry
def classicalGeometryEval : lang.classicalGeometry.expr → environment.env → classicalGeometry
| (lang.classicalGeometry.expr.lit s) i := s
| (lang.classicalGeometry.expr.var v) i := i.g v
|
d8a20dbc47ffffa683ed9118bb502f584770d95a | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/tensor_product.lean | dcb86fa9955b31827e60669fa320045355db90ae | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 16,587 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import linear_algebra.tensor_product
import algebra.algebra.basic
universes u v₁ v₂ v₃ v₄
/-!
The tensor product of R-algebras.
We construct the R-algebra struct... |
c691ed4df0de8d41904d3e742556f89b1c772e23 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/data/matrix/basic.lean | a98d8ce39f26f0e78bdfe1913f1312bc4de0058a | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 42,236 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.module.linear_map
import algebra.big_operator... |
cab2b25ff35483730c3ec9d7c9c84619e5088d53 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/ring_theory/polynomial/content.lean | cf6e2574c83f281151f4d3d2a0d916439b986405 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,074 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.gcd_monoid.finset
import data.polynomial
import data.polynomial.erase_lead
import data.polynomial.cancel_leads
/-!
# GCD structures on polynomials
De... |
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