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values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
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class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06ef16310e9e0119b6cf38d032fc2e80ff8dc0d2 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/monoid_algebra.lean | bb74f103da64a13d2d31eeb9eb1a159babc38dc2 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38,380 | 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 G. Kudryashov, Scott Morrison
-/
import algebra.algebra.basic
import linear_algebra.finsupp
/-!
# Monoid algebras
When the domain of a `finsupp` has a multiplica... |
af0536f3f3a116f47536fea5b31c25fb77009800 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/topological_fiber_bundle.lean | 1fc8fe4a2787105d51e80a42401893cb7915d0d4 | [
"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 | 61,321 | 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
import topology.algebra.ordered.basic
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a base `B` is a spac... |
99a0ffa1467e76d612eb6d7fdbb0825ad1fc492a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rw_set1.lean | c7710a023a0379eb8356372b30b5ab3cc725a4db | [
"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 | 238 | lean | import data.nat
namespace foo
attribute nat.add_assoc [simp]
print nat.add_assoc
end foo
print nat.add_assoc
namespace foo
print nat.add_assoc
attribute nat.add_comm [simp]
open nat
print "---------"
print [simp]
end foo
|
4c78ace8b48805512e9036640de9bec8b4977ed4 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/Meta/Offset.lean | dc48c6b248cd4ba1a1b962ee65586e490eea2520 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,369 | 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.Data.LBool
import Lean.Meta.InferType
import Lean.Meta.AppBuilder
namespace Lean.Meta
private abbrev withInstantiatedMVars (e : Expr) (k : Exp... |
16f8c32cb5983c9647f7ef5798cdcd2571dde497 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/functor/adjoint2.hlean | aadcb31001d1f1804f8e45c235d0226f1969fe76 | [
"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 | 1,541 | hlean |
import .equivalence
open eq functor nat_trans
namespace category
variables {C D E : Precategory} (F : C ⇒ D) (G : D ⇒ C) (H : D ≅c E)
/-
definition adjoint_compose [constructor] (K : F ⊣ G)
: H ∘f F ⊣ G ∘f H⁻¹ᴱ :=
begin
fconstructor,
{ fapply change_natural_map,
{ exact calc
1 ⟹ G ... |
b5a162b817846e1243acb31869ed0865b6474a2f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/direct_sum/decomposition.lean | 86a1fe2c66343a1b40a6b09c8095c8c99a196d19 | [
"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 | 8,267 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jujian Zhang
-/
import algebra.direct_sum.module
import algebra.module.submodule.basic
/-!
# Decompositions of additive monoids, groups, and modules into direct sums
## Mai... |
1df7b499bc267369663478f3795e6c292b39d998 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/PrettyPrinter.lean | f64e75c180ef4dc5a187038c4651c66953b33761 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 4,405 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.PrettyPrinter.Delaborator
import Lean.PrettyPrinter.Parenthesizer
import Lean.PrettyPrinter.Formatter
import Lean.Parser.Module
import Lean.ParserCo... |
0208c0e5424aadbb356e3bc65dc2ee88367eeb83 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Data/Name.lean | ca65809fd178b4bc2d7480ebe4fea0b324b6c121 | [
"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 | 3,977 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Lean
instance : Coe String Name := ⟨Name.mkSimple⟩
namespace Name
-- Remark: we export the `Name.hash` to make sure it matches the hash implement... |
fe2c8173bab8e34eb60c1c13a15b4dc812e2bbdd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/star/algebra_auto.lean | 39f2f9fd1ce466a6c2c8526f21d8bd3cdcee416d | [] | 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 | 1,220 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.basic
import Mathlib.algebra.star.basic
import Mathlib.PostPort
universes... |
fb45c4af5c26de2b0f46c09cc70234a7d6f45bc3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/ffi/lib/lean/FFI.lean | 35c838bcd46fc2e6842c121ca0e3e5ff1d8e8079 | [
"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 | 29 | lean | import FFI.Fn
import FFI.Add
|
379059d5d519990ae8da7b7d437a288337b0eb2e | 6305b69bc7636a761e1a1947508bb5ebad93cb7e | /library/init/data/list/lemmas.lean | 7bd66b90a1e8587bcd3a6d52893a64a8e9dfce54 | [
"Apache-2.0"
] | permissive | HGldJ1966/lean | e7f0068f8a69fde3593b77d8a44609ae446d7738 | 049d940167c419cd5935d12b459c0695d8615ae9 | refs/heads/master | 1,611,340,395,700 | 1,503,103,829,000 | 1,503,103,829,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,476 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
prelude
import init.data.list.basic init.function init.meta init.data.nat.lemmas
import init.meta.interactive i... |
34e70dfb5e46e03c4855a0526ebea3b932df3e06 | 5c4b17dae42fab1d4f493f3b52977bffa54fefea | /4.6.3.lean | d50da69fbf4131ce9a39072fe28922b373fe0be6 | [] | no_license | hyponymous/theorem-proving-in-lean-solutions | 9214cb45cc87347862fd17dfdea79fdf24b9df92 | a95320ae81c90c1b15da04574602cd378794400d | refs/heads/master | 1,585,777,733,214 | 1,541,039,359,000 | 1,541,039,359,000 | 153,676,525 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 794 | lean | open classical
variables (men : Type) (barber : men)
variable (shaves : men → men → Prop)
theorem not_p_iff_not_p {p : Prop} : ¬(p ↔ ¬p) :=
assume h : p ↔ ¬p,
have hnp : ¬p, from (assume hp : p, (h.mp hp) hp),
hnp (h.mpr hnp)
-- via not_p_iff_not_p
example (h : ∀ x : men, shaves barber x ↔ ¬ shaves x x) : false :=
... |
aec3c01d8aeee5867fe90ad2710ff726e6aef7b0 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/polynomial/coeff.lean | 8a11187bef5e05edf1fdafb4beb6f01a2d73dd83 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 11,975 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.basic
import data.finset.nat_antidiagonal
import data.nat.choose.sum
/-!
# Theory of univariate p... |
94c34fcb1f7bf4b6c08a6154569b7e8c86256d6e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/634b.lean | 4540e244a18c5a12f0afee689b3807b24278f661 | [
"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 | 701 | lean | open nat
namespace foo
section
parameter (X : Type)
definition A {n : ℕ} : Type := X
definition B : Type := X
variable {n : ℕ}
#check @A n
#check foo.A
#check foo.A
#check @foo.A 10
#check @foo.A n
#check @foo.A n
#check @foo.A n
set_option pp.full_names true
#check A
#check foo.A
#check... |
8b766a0d0cd950a29f719a3fd724b5e58c74545e | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/ring_theory/ideal/basic.lean | 792d140decc01d05b15fb885d384501fd2bf0463 | [
"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 | 32,146 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.zorn
import order.atoms
/-!
# Ideals over a ring
This file defines `ideal R`,... |
de4a44c39c073ef3c248384351dc855504c4c40c | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/basic_monitor2.lean | c0d29bbadfd2e1220653977782199d2c45e789d2 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 884 | lean | meta def get_file (fn : name) : vm format :=
do {
d ← vm.get_decl fn,
some n ← return (vm_decl.olean d) | failure,
return (to_fmt n)
}
<|>
return (to_fmt "<curr file>")
meta def pos_info (fn : name) : vm format :=
do {
d ← vm.get_decl fn,
some pos ← return (vm_decl.pos d) | failure,
file ← get_f... |
ef4fd68bcf953b0ebb77e37af57605b8a9d9c0c8 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/NonDistributiveAddPreSemiring.lean | f2f5b8104367ff84b7d8e86e24459688376858a4 | [] | 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 | 10,361 | 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 NonDistributiveAddPreSemiring
structure NonDistributiveAddPreSemiring (A : Type) : Type :=
(plus : (A → (A → A)))
(commutative_plus : (∀ {x y : A} , (plus x y) ... |
23cf79cc75937c3858c386d1b1bbd777aadd3c63 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/finally.lean | df72a401679653a10d725b29595ef213c80273e7 | [
"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 | 1,787 | lean | 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 executed"))
(fun ... |
3705eabc5ecd589b4f9a5707ce667a2c247db651 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Attributes.lean | 8573d31aaa81b3d147fe571bf924024c673ae15a | [
"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 | 21,308 | 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.Scopes
import Lean.Syntax
import Lean.CoreM
namespace Lean
inductive AttributeApplicationTime
| afterTypeChecking | afterCompilation | beforeE... |
90dc8f12bcb052df3adf9d76e5f11431f45b4b23 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Notes/Theorem_Proving_in_Lean/Chapter4/4.4.lean | 1e66acf0a268527534cf7eb508bfce3ce8ce82c4 | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 750 | lean | -- 4.4 The Existential Quantifier
-- See
open nat
example: ∃ x : ℕ, x > 0 :=
have h: 1 > 0, from zero_lt_succ 0,
exists.intro 1 h
theorem dom (x: ℕ) (h: x > 27): ∃ y, y < x :=
exists.intro 27 h
example (x y z: ℕ) (hxy: x < y) (hyz: y < z): ∃ w, x < w ∧ w < z :=
exists.intro y (and.intro hxy hyz)
#check @e... |
3523c761e0ffce4e6ee3b6c78518ceceaf892cb3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/category/Locale.lean | 2bfa9589c3744da28ed46336467e1a0002b9d962 | [
"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 | 1,359 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.Frm
/-!
# The category of locales
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
T... |
a9bdd6d3aea36d3ccdac38f36a8099524a220169 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/multilinear/basic.lean | bef802e1d31f6001cd914132e6b38b17ab68467b | [
"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 | 61,894 | 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 linear_algebra.basic
import algebra.algebra.basic
import algebra.big_operators.order
import algebra.big_operators.ring
import data.list.fin_range
import ... |
9fdf12539b8ecbc982347eb2b6c7c1bc9e647fc8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/tactic/linear_combination.lean | daf000dfd527b6a0850096a3964eb100e073725a | [
"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 | 15,099 | lean | /-
Copyright (c) 2022 Abby J. Goldberg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Abby J. Goldberg
-/
import tactic.ring
/-!
# linear_combination Tactic
In this file, the `linear_combination` tactic is created. This tactic, which
works over `ring`s, attempts ... |
608da08abe948c7e6a7f61f817bdad6ff2f7d6ba | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/num2.lean | c8cda7a059eb32f86c2125d22107b74e856e0714 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 349 | lean | prelude set_option pp.notation false
definition Prop := Sort 0
constant eq {A : Type} : A → A → Prop
infixl `=`:50 := eq
constant N : Type
constant z : N
constant o : N
constant b : N
notation 0 := z
notation 1 := o
check 1
check 0
constant G : Type
constant gz : G
constant a : G
notation 0 := gz
check a = 0
che... |
331bdafa8280081e8de645e31d22df1e6398fa60 | fe84e287c662151bb313504482b218a503b972f3 | /src/commutative_algebra/local_integers.lean | 5eed75a1a42f18adc8f06be74e8d5c67cbc6b65c | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,941 | lean | import algebra.ring data.rat data.real.basic data.complex.basic
import data.nat.prime ring_theory.subring.basic
import tactic.ring tactic.squeeze
namespace local_integers
def to_denom (p : ℕ) (b : ℤ) := (p : ℤ) * b + 1
def to_denom' (p : ℕ) (b : ℤ) : ℚ := (to_denom p b)
def denom_prod (p : ℕ) (b₀ b₁ : ℤ) := (p : ℤ)... |
c981f4a416d6a6ace0a8f82d8ea18a1d225bef6b | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/mv_polynomial/basic.lean | 597e65023f10f1dc3d9dfb0af194bdc307cef253 | [
"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 | 4,370 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.char_p.basic
import data.polynomial.algebra_map
import data.mv_polynomial.variables
import linear_algebra.finsupp_vector_space
/-!
# Multivariate pol... |
67b6c505dd74a26d17c53f742361c4fc9df7155e | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-109.lean | 2bd0c99d94c9728e68a2c3f67d48669625be923c | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 264 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (a b : ℝ) (h₀ : 3 * a + 2 * b = 12) (h₁ : a = 4) : b = 0 :=
begin
linarith,
end
|
358368bd6d9783e9a6ef915341133022a4c9e78a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/order/pi.lean | 58d1edb4f39fa736a85dc4f3d7d2e6ab29c0df2a | [
"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 | 2,311 | lean | /-
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
-/
import algebra.group.pi
import algebra.order.group
import tactic.pi_instances
/-!
# Pi instances for ordered groups and monoids
This file defines instances... |
914095f93a76b479921304a37605988a0671a60c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/order/euclidean_absolute_value.lean | ddfbe8b958802c9bd4eafb21f0440057061d589e | [
"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 | 2,113 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.order.absolute_value
import algebra.euclidean_domain
/-!
# Euclidean absolute values
This file defines a predicate `absolute_value.is_euclidean abv` statin... |
5dd3fad88d9d1b5d09f1469fdb69684d34330e82 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebra/lie/subalgebra.lean | 4f31bdb83b3fab1f324d150f7e7e630df378320c | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,263 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.basic
import ring_theory.noetherian
/-!
# Lie subalgebras
This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and... |
264cd8bb19357dc6af23c43db2a4c83686f1f518 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/ring/inj_surj.lean | e69a498a330bd951245718ac15c05a6ecd9d7004 | [
"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 | 12,261 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
import algebra.order.ring.defs
import algebra.order.monoid.cancel.basic
import algebra.ring.inj_surj
/-!
# Pulling back ordered ring... |
c588c9815baea50f63ddcfce8084ed41d96933f8 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/interactive.lean | 10a3cfda8d1b48b25eec87079564717d6df100ef | [
"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 | 40,714 | lean |
/-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sebastien Gouezel, Scott Morrison
-/
import tactic.lint
open lean
open lean.parser
local postfix `?`:9001 := optional
local postfix *:9001 := many
name... |
462145c47c0090e3b7a359ca025fd4d1a29fb69a | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/nat/sub.lean | b74db851832b21ce9f0ca0eacf52ddf74c67b899 | [
"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 | 19,562 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
Subtraction on the natural numbers, as well as min, max, and distance.
-/
import .order
open eq.ops algebra
namespace nat
/- subtraction -/
protec... |
a21cef4f2b89b720f6f567b5eb0aef49ab556f48 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/fintype/basic.lean | 8c5733b451fa944495b6a13f54b8d7a4da4080f8 | [
"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 | 60,119 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Finite types.
-/
import tactic.wlog
import data.finset.powerset
import data.finset.lattice
import data.finset.pi
import data.array.lemmas
import order.well_founded
impo... |
c353bf60a11e8841cdb8003013c19c518dcba5d5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/nonarchimedean/bases.lean | 29401a6db52948c4da46f8430227e3841be31bec | [
"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 | 12,580 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.algebra.nonarchimedean.basic
import topology.algebra.filter_basis
import algebra.module.submodule.pointwise
/-!
# Neighborhood bases for non-archime... |
f455c9874af2179bf942d14a37bb33538d5af3ba | 8c02fed42525b65813b55c064afe2484758d6d09 | /src/freevar.lean | c64c0291b3e8eee7bf066f2bb1473763757114de | [
"LicenseRef-scancode-generic-cla",
"MIT"
] | permissive | microsoft/AliveInLean | 3eac351a34154efedd3ffc4fe2fa4ec01b219e0d | 4b739dd6e4266b26a045613849df221374119871 | refs/heads/master | 1,691,419,737,939 | 1,689,365,567,000 | 1,689,365,568,000 | 131,156,103 | 23 | 18 | NOASSERTION | 1,660,342,040,000 | 1,524,747,538,000 | Lean | UTF-8 | Lean | false | false | 9,852 | lean | -- Copyright (c) Microsoft Corporation. All rights reserved.
-- Licensed under the MIT license.
import .lang
import .irsem
import .irsem_exec
import .irsem_smt
import smt2.syntax
import smt2.builder
namespace freevar
open irsem
open io
def update (lhses:list string) (t:ty) (op:operand) (freevs:list (string × ty)) :... |
496483700f994be066817dfc8ca7a75d58d03720 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group/semiconj.lean | 780c119ff9364d23c6a1db6dff4d0af7fabeaa20 | [
"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 | 7,610 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
Some proofs and docs came from `algebra/commute` (c) Neil Strickland
-/
import algebra.group.units
/-!
# Semiconjugate elements of a semigroup
## Main definitions
... |
6ec61ecb2484deade3c11cf282f479d9d899841b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/lift_coe_off.lean | 279f3b6cebd27955fb86471783f7f9980a94c2b1 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 389 | lean | open nat
inductive tree (A : Type) :=
leaf : A → tree A,
node : tree A → tree A → tree A
set_option elaborator.lift_coercions false
definition size {A : Type} (t : tree A) :=
tree.rec (λ a, 1) (λ t₁ t₂ n₁ n₂, n₁ + n₂) t
set_option elaborator.lift_coercions true
definition size {A : Type} (t : tree A) :=
tree.rec (... |
c4af569afe1cd021c10097359b2cb94cb7754ae4 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/continued_fractions/translations.lean | 111307de560efda1c77df6b6f35bc0da4d41295d | [
"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 | 4,032 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.basic
/-!
# Basic Translation Lemmas Between Functions Defined for Continued Fractions
## Summary
Some simple translation lem... |
2aa1d10323dad82e463a530acf2f03dcbadd9a5c | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/tactic_paper_supplemental_material/gapt_export/grp778_1.opt1.lean | fc2a74dacd836c1b1197b5295ac48d1732e74894 | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 122,510 | lean | namespace gapt
open tactic expr
namespace lk
lemma LogicalAxiom {a} (main1 : a) (main2 : ¬a) : false := main2 main1
lemma BottomAxiom (main : false) : false := main
lemma TopAxiom (main : ¬true) : false := main ⟨⟩
lemma ReflexivityAxiom {α : Type} {a : α} (main : a ≠ a) : false := main (eq.refl a)
lemma NegLeftRule ... |
241015d662414fb69693afb6239b19ae4ccab871 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc8.lean | 7e41d81a877a23cf64a01bedf10f6107691a2ad1 | [
"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 | 1,987 | lean | import data.finset
open set finset
structure finite_set [class] {T : Type} (xs : set T) :=
(to_finset : finset T) (is_equiv : to_set to_finset = xs)
definition finset_set.is_subsingleton [instance] (T : Type) (xs : set T) : subsingleton (finite_set xs) :=
begin
constructor, intro a b,
induction a with f₁ h₁,
in... |
e7a74bd8b9c5221757b52328bc7db9ff5fcbfb13 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/logic/hydra.lean | 2191270b478040df953dada91c96ca3ef6c7514a | [
"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 | 9,227 | lean | /-
Copyright (c) 2022 Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Junyan Xu
-/
import data.multiset.basic
import order.well_founded
/-!
# Termination of a hydra game
This file deals with the following version of the hydra game: each head of the hydra is... |
96d79ca1f5e363e9fdd2b9477c0305d555e295c8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/euclidean/angle/unoriented/basic.lean | e001f6f43dc7c2d8127eac07fc245c9a745cd97a | [
"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 | 15,514 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Manuel Candales
-/
import analysis.inner_product_space.basic
import analysis.special_functions.trigonometric.inverse
/-!
# Angles between vectors
> THIS FILE IS SYNCHRONI... |
d9c50f8167820aa4bc875cc8b7f4d8e77110dcff | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/sesquilinear_form.lean | f035cc01f0fb62c41bbeeefd9601289c0a3fb36e | [
"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 | 11,848 | 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 ring_theory.ring_invo
import algebra.module.linear_map
/-!
# Sesquilinear form
This file defines a sesquilinear form over a module. The definition requir... |
0a40cbf88d984653264c08a6a508ed5df6c0fd4b | f94866221d9fc3e2706d042c19de3c569d853531 | /src/biject.lean | f578edf1e035e57ae4d3ec987de036495e29d4d1 | [] | no_license | arthur-adjedj/proof_Q_denumerable | 1040647af48ffa7afe921b73a96c89e1a6896ba3 | 7a1059ea91cff929bb0c5fa3876c73b72ebee9f7 | refs/heads/main | 1,692,085,100,716 | 1,632,130,913,000 | 1,632,130,913,000 | 398,863,134 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,335 | lean | import tactic.interactive
import tactic.finish
import data.int.parity
import init.function
universes u1 u2 u3 u4
constant α : Sort u1
constant β : Sort u2
constant γ : Sort u3
def injective {α : Sort u1} {β : Sort u2} (f : α → β ) : Prop :=
∀ (x1 x2 : α ), f x1 = f x2 → x1 = x2
def surjective {α : Sort u1}... |
0f14f448c506206964edc8f870280ace98e3d822 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/ring_theory/unique_factorization_domain.lean | 2452304bcf561df3b74b0346322ed61b5b5cdd0c | [
"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 | 19,715 | lean | /-
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
Theory of unique factorization domains.
@TODO: setup the complete lattice structure on `factor_set`.
-/
import algebra.gcd_domain
variables {α : Type*... |
d4e52aad2f47a7dc66d9bf4b7e0704671c65ef04 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/ideal/over.lean | ab89c1bb2d87b49ef0dfe2b40045a8d6cfe00d43 | [
"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 | 17,655 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.algebraic
import ring_theory.localization.at_prime
import ring_theory.localization.integral
/-!
# Ideals over/under ideals
This file concerns ideals l... |
524ab521d258b0df92430b38660dc14e066fb3ce | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/group_action/defs.lean | 2cbac9808e79bc0a148534730fe993977164501e | [
"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 | 23,461 | lean | /-
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
-/
import algebra.group.defs
import algebra.group.hom
import algebra.group.type_tags
import logic.embedding
/-!
# Definitions of group actions
This file d... |
cfcd2d59f58c6011477987606387fff7db77e9b0 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/measure_theory/integral/bochner.lean | 7829a649512c903aaa7bdba7d497a4de5ec975d0 | [
"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 | 67,104 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import measure_theory.integral.set_to_l1
import measure_theory.group.basic
import analysis.normed_space.bounded_linear... |
bc44bcb2d991c7fca4a70133982577e9b5088084 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Meta.lean | c16a7731a6fe9f3037688d5e986de3067de7e479 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 656 | 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
-/
prelude
import Init.Lean.Meta.Basic
import Init.Lean.Meta.LevelDefEq
import Init.Lean.Meta.WHNF
import Init.Lean.Meta.InferType
import Init.Lean.Meta.FunInf... |
3d6897020e9f137645aab474544e2f1e31a34868 | 1446f520c1db37e157b631385707cc28a17a595e | /src/Init/Lean.lean | d6a06d23126a22858a28b05a86482444fdcb67c5 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 673 | 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
-/
prelude
import Init.Lean.Compiler
import Init.Lean.Environment
import Init.Lean.Modifiers
import Init.Lean.ProjFns
import Init.Lean.Runtime
import Init.Lean... |
10737fe53ebbbdd667f3a487997841f8476179ff | 92b50235facfbc08dfe7f334827d47281471333b | /tests/lean/run/fibrant_class1.lean | 914bc35d3965b01489f9cd35bf9720fc3c4bb65c | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 547 | lean | inductive fibrant [class] (T : Type) : Type :=
fibrant_mk : fibrant T
inductive path {A : Type'} [fA : fibrant A] (a : A) : A → Type :=
idpath : path a a
notation a ≈ b := path a b
axiom path_fibrant {A : Type'} [fA : fibrant A] (a b : A) : fibrant (path a b)
attribute path_fibrant [instance]
axiom imp_fibrant {A :... |
ded573f22161caef27cbd436f59665c62adf91f9 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/fintype/order.lean | accdd05fb029e995ed5df558f27fbb6c449ccc59 | [
"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 | 5,174 | lean | /-
Copyright (c) 2021 Peter Nelson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Peter Nelson, Yaël Dillies
-/
import data.fintype.basic
import order.conditionally_complete_lattice
/-!
# Order structures on finite types
This file provides order instances on fintype... |
175606f764f048d2342530fbe4350e02eedb7020 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/convex/topology.lean | 078d9b74569c5d14b4d65ce7cdec0743dfc5ba42 | [
"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 | 21,103 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudryashov
-/
import analysis.convex.jensen
import analysis.convex.strict
import analysis.normed.group.pointwise
import topology.algebra.module.finite_dimensi... |
5b9a5d3cca1af7aa8acc528d515d766d41e202e7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/int/dnf.lean | a4d82b9361fa65f9f9a6bef6988555e831df55f2 | [] | 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 | 2,015 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.clause
import Mathlib.tactic.omega.int.form
import Mathlib.PostPort
namespace Mathlib
/... |
7c2957f045f6d0b3579e7164d5b517cb925ec20c | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Elab/Quotation.lean | 2be476a55ed8eb04bc880595bf38073dd7cc0e4b | [
"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 | 20,719 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types.
-/
import... |
27e25d2c1663d897f8725e8937bd5bf6db7825fe | 928e43dd755d83a0986ba91420df8ad05b8d7c9f | /5_existential.lean | edd3949d19e375cae9d0033ec09502dc24d5372d | [] | no_license | zmactep/llfgg | ea222b377095a42e0de5cf8d4846aff806ce0f31 | ed684ae69b94a4a042615c412fef68bdec8fc80c | refs/heads/master | 1,585,131,334,279 | 1,533,894,322,000 | 1,533,894,322,000 | 143,688,771 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,211 | lean | -- Существование
example : ∃ x : ℕ, x > 0 := -- с места в карьер докажем существование (\exists для ∃) натурального числа
have h : 1 > 0, from nat.zero_lt_succ 0, -- больше 0 предъявим 1, который больше нуля по великой лемме zero_lt_one
show ∃ x : ℕ, x > 0, from exists.intro 1 h -- с п... |
f20a676b6c0cef2dea56f57f9d751564171cc2f5 | c9e78e68dc955b2325401aec3a6d3240cd8b83f4 | /src/property_catalogue/LTL/patterns.lean | d8d4b62b51479712d662a840ba2fe5c5b6838118 | [] | no_license | loganrjmurphy/lean-strategies | 4b8dd54771bb421c929a8bcb93a528ce6c1a70f1 | 832ea28077701b977b4fc59ed9a8ce6911654e59 | refs/heads/master | 1,682,732,168,860 | 1,621,444,295,000 | 1,621,444,295,000 | 278,458,841 | 3 | 0 | null | 1,613,755,728,000 | 1,594,324,763,000 | Lean | UTF-8 | Lean | false | false | 2,940 | lean | import LTS.defs
variable {M : LTS}
set_option pp.beta true
@[reducible]
def init_state (s : M.S) [has_coe M.S (formula M)] : formula M := ↑s
@[reducible]
def holds_over_transition (s : M.S) [has_coe M.S (formula M)] : formula M :=
◾(↑s ⇒ formula.next ↑s)
@[reducible]
def not_init (s : M.S) [has_coe M.S (for... |
418b8fd3894d0b8495112041622a35ee784ef02d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/computability/partrec_auto.lean | 64755c50ff2cdda1868a60c3d50359001ae83cc4 | [] | 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 | 25,031 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.computability.primrec
import Mathlib.data.nat.psub
import Mathlib.data.pfun
import Mathlib.P... |
540702505f384e1e999396b5686488facb8b84bd | 44023683920a51f2416cf51eeab3fc51c3ff0765 | /library/system/io.lean | c23ac72c73d1ea462ee1c60a7074aeaab921515e | [
"Apache-2.0"
] | permissive | pirocks/lean | e6e3e3fd20c5e7877f7efc3b50e5e20271e8d0cf | 368f17d0b1392a5a72c9eb974f15b14462cc1475 | refs/heads/master | 1,620,671,385,768 | 1,516,152,564,000 | 1,516,152,564,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,447 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch and Leonardo de Moura
-/
import data.buffer
inductive io.error
| other : string → io.error
| sys : nat → io.error
structure io.terminal (m ... |
ed10e17c8237048376d1be649fd7f796877fe101 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/list/sort.lean | 09f2c534a80bdd3a7d23705f68ddf3504919827f | [
"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 | 8,141 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Naive sort for lists
-/
import data.list.comb data.list.set data.list.perm data.list.sorted logic.connectives algebra.order
namespace list
open decidable nat
va... |
1dfe4b80863c2237733e24aacb453726505c2e4b | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/internal_names.lean | 21811b4bc202f45eec80fdb281678b7a63bbe6ed | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 93 | lean | definition _foo : nat := 0 -- error
structure _bla := (a b : nat)
inductive _empty : Type.
|
dbee112e1f192b304c3d3388377e28f722cc6dc8 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/commute.lean | 872f8b07423959e32f90dbd2dd186bfa01904f0c | [
"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 | 14,982 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland, Yury Kudryashov
-/
import algebra.semiconj
import ring_theory.subring
/-!
# Commuting pairs of elements in monoids
## Main definitions
* `commute a b` : `a * b = b... |
53a94ffa452d9fb7601693bd0654130dfcf5fdad | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Elab/Util.lean | c8a54300d43831d735f14881b37a3ff1f269b9b9 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,914 | 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.Util.Trace
import Lean.Parser.Extension
import Lean.KeyedDeclsAttribute
import Lean.Elab.Exception
namespace Lean
def Syntax.prettyPrint (stx ... |
28c094b16282695e4081cf0befc782bd14db6709 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/check.lean | 7dff5711ee26bc4f94875c4b41bc8f02eee968a4 | [
"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 | 61 | lean | --
#check And.intro
#check @Or.rec
#check Eq
#check @Eq.rec
|
95dc124884b8fa7d30cee4cee5cb5fe70527c3cd | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/eckmann_hilton.lean | 3cbc0aadc8db52dd5ad71d8b5065f091cf900338 | [
"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 | 4,385 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau, Robert Y. Lewis
-/
import algebra.group.defs
/-!
# Eckmann-Hilton argument
The Eckmann-Hilton argument says that if a type carries two monoid structures that di... |
f7f5b3490e29bef158edb01e170dc2cf5ad49eae | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/tests/test_openai_api.lean | a2d7293d11b1d847482f36d2ecd5f6f5e6cd9366 | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 438 | lean | import evaluation
import backends.greedy.openai
open openai
meta def main : io unit := do
m_api_key ← io.env.get "OPENAI_API_KEY",
match m_api_key with
| none := io.fail "ENVIRONMENT VARIABLE $OPENAI_API_KEY NOT FOUND"
| (some api_key) := do
cmd_args ← dummy_cr.to_cmd "davinci" api_key,
io.put_str_ln $ fo... |
a09d3cbe3036d69922eec7eb4e05b07fde7244c7 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/wf_k.lean | 90807ab87d5c075f3e37956362871dae7cdb9dea | [
"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 | 771 | 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
prelude
import init.wf
universe variables u
namespace well_founded
-- This is an auxiliary definition that useful for generating a new "proof" for (well... |
c17d5cfe19c6aaaa2e8ef7cc645d73ddfc16dfa7 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/dynamics/ergodic/measure_preserving.lean | eeceaa9c3164bd8c368f0e4d3b0f9ffd8dc5571f | [
"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 | 6,240 | 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 measure_theory.measure.measure_space
/-!
# Measure preserving maps
We say that `f : α → β` is a measure preserving map w.r.t. measures `μ : measure α` and
... |
df75fd947ad551608cce89b65a2b45e80505c17a | 90edd5cdcf93124fe15627f7304069fdce3442dd | /src/Lean.lean | 570177e81c146c80e3586bebb8a02bbb6e84747c | [
"Apache-2.0"
] | permissive | JLimperg/lean4-aesop | 8a9d9cd3ee484a8e67fda2dd9822d76708098712 | 5c4b9a3e05c32f69a4357c3047c274f4b94f9c71 | refs/heads/master | 1,689,415,944,104 | 1,627,383,284,000 | 1,627,383,284,000 | 377,536,770 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 928 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data
import Lean.Compiler
import Lean.Environment
import Lean.Modifiers
import Lean.ProjFns
import Lean.Runtime
import Lean.ResolveName
import L... |
16854e23f220c1242348c2ffdd714997faabb0e3 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/continuous_on.lean | bec903efb4b3f8ca9c0d9ba0913b595ea55d66fd | [
"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 | 57,071 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require ... |
518ae0e3678e996f526db7b62976f44f3cc2e5e5 | 798dd332c1ad790518589a09bc82459fb12e5156 | /category_theory/category.lean | 6be266f8c47b9777756bcd21d474ce3591796367 | [
"Apache-2.0"
] | permissive | tobiasgrosser/mathlib | b040b7eb42d5942206149371cf92c61404de3c31 | 120635628368ec261e031cefc6d30e0304088b03 | refs/heads/master | 1,644,803,442,937 | 1,536,663,752,000 | 1,536,663,907,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,488 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl, Reid Barton
Defines a category, as a typeclass parametrised by the type of objects.
Introduces notations
`X ⟶ Y` for the morphism spa... |
0c71bca56184dbf2181ba9f2448ba679a834bee2 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/topology/algebra/open_subgroup.lean | bc4475bc1ede653b535b0e6188841997931b0cb1 | [
"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 | 5,893 | lean | import order.filter.lift
import linear_algebra.basic
import topology.opens topology.algebra.ring
section
open topological_space
variables (G : Type*) [group G] [topological_space G]
/-- The type of open subgroups of a topological group. -/
@[to_additive open_add_subgroup]
def open_subgroup := { U : set G // is_open U... |
d6e6baf2bc3301c18f1154fb5bf502416044d2df | 46125763b4dbf50619e8846a1371029346f4c3db | /src/analysis/asymptotics.lean | c4fe81f4ff13f250e1e49dd349ed0748fa4470c8 | [
"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 | 39,837 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Yury Kudryashov
-/
import analysis.normed_space.basic tactic.alias
/-!
# Asymptotics
We introduce these relations:
* `is_O_with c f g l` : "f is big O of g along l wi... |
7073f264d6f013656edd0759d74fb49a6f1a48ba | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/homology/complex_shape.lean | 94b6110670cc5b3c331f7b214cdad0a0442647e2 | [
"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 | 6,774 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import algebra.group.defs
import logic.relation
/-!
# Shapes of homological complexes
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to th... |
1f81d5fe22e0f86b5080ae29fd72d8980212889f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/lp_space_auto.lean | 7cbeeafef1e492ce0fa419c6cc14a43d1895b3be | [] | 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 | 31,394 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.ess_sup
import Mathlib.measure_theory.l1_space
import Mathlib.analysis.mean_ineq... |
1bc688d48075de5245c11585209cc9f81cde4560 | dcf093fda1f51c094394c50e182cfb9dec39635a | /graph_keith.lean | 2bd0af4e7d9e192c4030ca6443889a7b6ae4755a | [] | no_license | dselsam/cs103 | 7ac496d0293befca95d3045add91c5270a5d291f | 31ab9784a6f65f226efb702a0da52f907c616a71 | refs/heads/master | 1,611,092,644,140 | 1,492,571,015,000 | 1,492,571,015,000 | 88,693,969 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,360 | lean | import data.list data.set algebra.binary algebra.group classical
open nat list
definition no_dup {V : Type} : list V → Prop
| [] := true
| (x :: xs) := ¬ x ∈ xs ∧ no_dup xs
definition last {V : Type} [V_inhabited : inhabited V] : list V → V
| [] := arbitrary V
| [x] := x
| (x :: xs) := last xs
lemma reverse_last_he... |
f737880b72a0c1d3e7cb9f1a6e551426147071e1 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/local_homeomorph.lean | 1ac0bf05a418f75c5867daa9be4f650589bf9f73 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 53,050 | 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 logic.equiv.local_equiv
import topology.sets.opens
/-!
# Local homeomorphisms
This file defines homeomorphisms between open subsets of topological spac... |
53e7a4973b1f242baba33e613ba6a80ba894c61b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/monoid_localization.lean | 3890cdfbe8f28f689894c3c8ee8e8449132a9ef0 | [
"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 | 74,644 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import group_theory.congruence
import group_theory.submonoid.membership
import algebra.group.units
/-!
# Localizations of commutative monoids
> THIS FILE IS S... |
d7f6b0e4cf5155a19428bb8286d3e70f14434425 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/numChars.lean | edbfee80675a35f71cce3fc70f53066700bce90d | [
"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 | 430 | lean | def numChars (s : String) : Nat :=
go s.iter
where
go (i : String.Iterator) : Nat :=
if h : i.hasNext then
go i.next + 1
else
0
#eval numChars "aαc"
example : numChars "aαc" = 3 := by
rfl'
def numChars2 (s : String) : Nat :=
go s.iter
where
go (i : String.Iterator) : Nat :=
match h ... |
f5e6e419aabd278f469a58cc25c0648fb181f08f | f7315930643edc12e76c229a742d5446dad77097 | /tests/lean/hott/trunc_1.hlean | c2063a183f962b62c568e84c130a2b64eb751328 | [
"Apache-2.0"
] | permissive | bmalehorn/lean | 8f77b762a76c59afff7b7403f9eb5fc2c3ce70c1 | 53653c352643751c4b62ff63ec5e555f11dae8eb | refs/heads/master | 1,610,945,684,489 | 1,429,681,220,000 | 1,429,681,449,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,088 | hlean | open is_trunc
inductive trunc (n : trunc_index) (A : Type) : Type :=
tr {} : A → trunc n A
axiom is_trunc_tr (n : trunc_index) (A : Type) : is_trunc n (trunc n A)
attribute is_trunc_tr [instance]
namespace trunc
definition trunc_rec_on {n : trunc_index} {A : Type} {P : trunc n A → Type} (aa : trunc n A)
[Pt :... |
7e859f085d91ecf0e7c574e8ceb13a3a3882ac71 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/probability_theory/independence_auto.lean | 7cdd6fddb850ad04f3b7b2df74d9cbb10481cfac | [] | 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 | 16,194 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.measure_space
import Mathlib.algebra.big_operators.intervals
import Mathlib.data.... |
1d789e19499061810da038b9cae04316176e8feb | 54f4ad05b219d444b709f56c2f619dd87d14ec29 | /my_project/src/love04_functional_programming_exercise_sheet.lean | fe3a54b2e1bd41636203f848e282cfcd9754272b | [] | no_license | yizhou7/learning-lean | 8efcf838c7276e235a81bd291f467fa43ce56e0a | 91fb366c624df6e56e19555b2e482ce767cd8224 | refs/heads/master | 1,675,649,087,737 | 1,609,022,281,000 | 1,609,022,281,000 | 272,072,779 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,798 | lean | import .love03_forward_proofs_demo
/-! # LoVe Exercise 4: Functional Programming -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: Reverse of a List
We define a new accumulator-based version of `reverse`. The first argument,
`as`, serves as the accumulator. This definition is __tail-recursive__, mean... |
d449281b11f8ba37ebe44ca16bc4fc740ff62815 | e514e8b939af519a1d5e9b30a850769d058df4e9 | /test/equivalences_full.lean | 7ecf7db20acd74ae8096ca2fb3bce0b9e4f82335 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 709 | lean | import tactic.rewrite_search
universes u₁ u₂
open category_theory
variables {D : Type u₂} {C : Type u₁} [𝒟 : category D] [𝒞 : category C]
include C 𝒞 D 𝒟
local attribute [search]
functor.map_comp is_equivalence.fun_inv_map nat_iso.naturality_1 nat_iso.naturality_2
nat_iso.hom_app_inv_app_id category.assoc is_eq... |
91d742118c6add00a71da559ce2118a44d22e462 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/constant_speed.lean | aa5b84190414f2487b535208468b0a1658df07c4 | [
"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 | 13,574 | lean | /-
Copyright (c) 2023 Rémi Bottinelli. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémi Bottinelli
-/
import data.set.function
import analysis.bounded_variation
import tactic.swap_var
/-!
# Constant speed
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to ... |
ea6b9ab46d13084901a8c5e6cfaaf7e58d1aeb53 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Simp/SimpAll.lean | 915f0c5d05348552bda28f410921af399a28bf44 | [
"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 | 5,734 | 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.Meta.Tactic.Clear
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Simp.Main
namespace Lean.Meta
open Simp (UsedSimps)
namespace SimpAll
... |
41fb2c30902db470bc3bda4e2a5072809a92237a | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/category/constructions.lean | b4da8ae5e2f442dee508010fdf699a0d73362e76 | [
"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 | 16,834 | lean | -- Copyright (c) 2014 Floris van Doorn. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Floris van Doorn
-- This file contains basic constructions on categories, including common categories
import .natural_transformation
import data.unit data.sigma data.prod dat... |
34b52cfc05efac0a4995275cbe9406594ec02800 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /idempotent_completion.lean | 9425bdc6fc1db8b8d9cc1afe3856c1bd4ac7c0e7 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 4,170 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .category
import .equivalence
import .functor
open tqft.categories
open tqft.categories.functor
open tqft.categories.natural_transformatio... |
6c93ffb01a492c63ccf76a5bb2dca3fe3d6f18b3 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Parser/Tactic.lean | bcd972bb70d9c8f971eee4aeb21111ad778af9ec | [
"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 | 5,863 | lean | /-
Copyright (c) 2020 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.Parser.Term
namespace Lean
namespace Parser
namespace Tactic
def underscoreFn : ParserFn :=
fun c s =>
let s := symbolF... |
d188af6b826c1ffd06de44479270de0261e2e50b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/analytic/composition.lean | 0f0b05283927f467045b0ef45c207bf14b6bc02f | [
"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 | 58,799 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johan Commelin
-/
import analysis.analytic.basic
import combinatorics.composition
/-!
# Composition of analytic functions
in this file we prove that the composi... |
3cc58783fb37e3f251ca3c4b5587ae1574849743 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/match.lean | 8d36ef0825dfa6b3f2e9074fe95e28090e74c6a0 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 2,062 | lean | def is_not_zero (n : ℕ) : bool :=
match n with
| 0 := ff
| (n + 1) := tt
end
universe u
def filter {α : Type u} (p: α → bool): list α → list α
| [] := []
| (x :: xs) :=
match p x with
| tt := x :: filter xs
| ff := filter xs
end
example : filter is_not_zero [1,0,0,3,0] = [1,3] := rfl
def foo... |
aac0b0c71d1b9120b1cde564de9861ba4089627d | b87641ffb6358d6508ccbfa54e67c87070cb28d8 | /cat/cat.lean | 37d8b8720185c6f0d024dcb88e82da9b8ad604f0 | [] | no_license | Nolrai/LeanGiggle | a4b628745ae3f5a36ae79b673ee8543e18ed4899 | 8326b2a6685b60a3529ee0fe26bd86f5d849b071 | refs/heads/master | 1,545,396,766,168 | 1,538,238,458,000 | 1,538,238,458,000 | 105,524,473 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 777 | lean | structure category_raw :=
(Ob: Type) (Hom : Ob -> Ob -> Type)
(id : ∀ A : Ob, Hom A A)
(comp : ∀ (A B C : Ob), Hom A B -> Hom B C -> Hom A C)
notation A `♯` c `⟹`:50 B := c.Hom A B
definition comp {c : category_raw}
{A B C : c.Ob}
(f : A ♯c⟹ B)
(g : B ♯c⟹ C)
:= c.comp A B C f g
open category_raw
... |
69d39ffc9eac13d928a56a89f9df90268e9aec78 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/probability/density.lean | 1ffefadfb1bad5d1806e978863c354e544d0c4a1 | [
"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 | 18,087 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.decomposition.radon_nikodym
import measure_theory.measure.lebesgue
/-!
# Probability density function
This file defines the probability density func... |
6c807c97362c00315b8b0c894a0f8828299021bb | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/automatic_induction.lean | 33ab98cdf14c4ad22d9311e72da6197919c0ef59 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,496 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import .at_least_one
open tactic
meta def automatic_induction_at (h : expr) : tactic string :=
do
t' ← infer_type h,
t' ← whnf t',
(do
n ← num_goals,
ca... |
ef39dfc3483a926a805d9816a10968a39f9b348e | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/number_theory/pell.lean | 39805892924eb9008f7a592298a77461032373d4 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 37,614 | 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.nat.prime data.nat.modeq data.zsqrtd.basic
namespace pell
open nat
section
parameters {a : ℕ} (a1 : a > 1)
include a1
private def d := a*a - 1
... |
4d8af8cc5261e346dd4056ce265c68b6c7d32d92 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/sheaves/sheaf_condition/unique_gluing.lean | 2cbe750fc243391d23fc00d86552246c7a11ee24 | [
"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 | 11,729 | lean | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
import topology.sheaves.forget
import category_theory.limits.shapes.types
import topology.sheaves.sheaf
import category_theory.types
/-!
# The sheaf condition in t... |
5dba47452a43c5924fbaa91a697866a245127dd0 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/order/bounded_lattice.lean | 6b7e4b78680bcfe0693c2dc40dccb57f25d96f7c | [
"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 | 40,280 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice
import data.option.basic
import tactic.pi_instances
set_opt... |
c283f4490fe593b5d6249b3f7d30958d6180c7ec | 61c3861020ef87c6c325fc3c3dcbabf5d6b07985 | /cubical/cube.lean | c82bced93f20bdfcdd9243ac307bcd9ef4e6ebcb | [
"Apache-2.0"
] | permissive | jonas-frey/hott3 | a623be2959e8a713c03fa1b0f34bf76a561dfa87 | a944051b4eb5919bdc70978ee15fcbb48a824811 | refs/heads/master | 1,628,408,720,559 | 1,510,267,042,000 | 1,510,267,042,000 | 106,760,764 | 0 | 0 | null | 1,507,856,238,000 | 1,507,856,238,000 | null | UTF-8 | Lean | false | false | 21,892 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn, Jakob von Raumer
Cubes
-/
import .square
universes u v w
hott_theory
namespace hott
open equiv is_equiv sigma
namespace eq
inductive cube {A : Type u} {a₀₀... |
9afdf61a05f91fd5d5f785750d031d45f762d356 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/dynamics/periodic_pts.lean | 30e6211e651260d7fe1f2218e1f061962956fac5 | [
"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 | 23,473 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.hom.iterate
import data.list.cycle
import data.pnat.basic
import data.nat.prime
import dynamics.fixed_points.basic
import group_theory.group_ac... |
ccd5de957e639e0dba009ef0e2a0ecd3ef364987 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/1260.lean | b5d4be6508e0e6e2243fea8d1e1a124a8567afca | [
"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 | 1,169 | lean | inductive dvec {X : Type} (Y : X → Type) : list X → Type
| dnil {} : dvec []
| dcons : Π {x : X}, Y x → Π {xs : list X}, dvec xs → dvec (x::xs)
namespace dvec
notation `⟦` l:(foldr `, ` (h t, dvec.dcons h t) dvec.dnil `⟧`) := l
def get {X : Type} [decidable_eq X] {Y : X → Type} (x₀ : X) [inhabited (Y x₀)]
: Π {xs... |
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