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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
176dfddedc07d8f467b294f57ca52d6177acf0b5 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/G_delta.lean | 76a6e6206bae18eb392c1c3bd9fd3af8fe80fbb0 | [
"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 | 6,859 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import topology.uniform_space.basic
import topology.separation
/-!
# `Gδ` sets
In this file we define `Gδ` sets and prove their basic propert... |
d5edf82866dd002c8eb958ff40af3289dc37069e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/order/priestley.lean | 6a4688db360a15536d4835be01c1e343d2431857 | [
"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 | 2,677 | 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.upper_lower
import topology.separation
/-!
# Priestley spaces
This file defines Priestley spaces. A Priestley space is an ordered compact topological space... |
02f651e04121be6b2db04a6791e435ac82d8a768 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/algebra/category/constructions/opposite.hlean | a1994060bce37ef4708a42044ebe2d9f958169f2 | [
"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 | 5,224 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
Opposite precategory and (TODO) category
-/
import ..nat_trans ..category
open eq functor iso equiv is_equiv nat_trans
namespace category
de... |
9ee01877c96555f6eb8c8d70dd7ff767acf10d07 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/mean_value.lean | 1fcb04ffbf97d4ff377313b3a2a67ebd01366e4b | [
"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 | 76,075 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.deriv.slope
import analysis.calculus.local_extr
import analysis.convex.slope
import analysis.convex.normed
import data... |
1a14d58d968c45ef634420d1dd3f247bf9fb7e64 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /scripts/lint_mathlib.lean | 1acd62261c7189b2c86dfd2855486f6595b10226 | [
"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 | 3,232 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint
import system.io -- these are required
import all -- then import everything, to parse the library for failing linters
/-!
# l... |
3de7a9552d5a7b596842753a875e860e8e8eecfc | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/backends/greedy/fairseq.lean | b114e4f6b77662d99fe817bf76cceda217b20588 | [
"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 | 6,413 | lean | import evaluation
import utils
namespace fairseq
section fairseq_api
meta structure CompletionRequest : Type :=
(prompt : string)
(max_tokens : int := 16)
(temperature : native.float := 1.0)
(nbest : int := 1)
(beam: int := 10)
meta def default_partial_req : CompletionRequest :=
{
prompt := "",
max_tokens := 60... |
ff9058051e7c051a2de5e2afb9b65caf5b2f07ab | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/floor.lean | 77d45dd16d24537f5bb1d3e2caa9526177c9b4ce | [] | 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 | 11,857 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.linarith.default
import Mathlib.tactic.abel
import Mathlib.algebra... |
e9ead88822c803ab4d5f7c93595abeee82ff98f4 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/category_theory/limits/limits.lean | 7dcb819350cda01e18f2e19c8472cce02a1f990c | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 26,507 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Reid Barton, Mario Carneiro, Scott Morrison
import category_theory.whiskering
import category_theory.yoneda
import category_theory.limits.cones
open category_theory category_th... |
a840f0f5ef689a6d6de23afdff59e0b59096be96 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/category/TopCommRing.lean | fb9734d18dea30a9637de1b5601dc2e1a36b8a08 | [
"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 | 3,345 | 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 algebra.category.CommRing.basic
import topology.category.Top.basic
import topology.algebra.ring
universes u
open category_theory
/-- A bundled topological c... |
b13300dd1ae6376427e8980dfa6a164cc5812c86 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Data/FloatArray/Basic.lean | 5056e9f54e6e8366a8b2f8ebe86dbd8e72b7a20c | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,088 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Array.Basic
import Init.Data.Float
import Init.Data.Option.Basic
universes u
structure FloatArray :=
(data : Array Float)
attribut... |
4e0de01157f84d283438e3f1c374e4fa21f0ba2d | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/category_theory/category/default.lean | dab2df494787eb7bd9862f7e84696caba1619276 | [
"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 | 7,597 | 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
-/
import tactic.basic
import tactic.tidy
/-!
# Categories
Defines a category, as a type class parametrised by the type o... |
2632e10b777358ece0485d2e4fe01f19c28f9d63 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/additive/basic.lean | 0a8dbe2dba74d586ab1852ebed3ca5836c2e65e5 | [
"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 | 1,013 | lean | /-
Copyright (c) 2021 Luke Kershaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Kershaw
-/
import category_theory.preadditive.basic
import category_theory.limits.shapes.biproducts
/-!
# Additive Categories
This file contains the definition of additive categor... |
d1ca0a48420381502ac910c5d20ca35f9daa89aa | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/mk_inhabited_instance.lean | 68d4502f665628d6485ea968738a83947190f3ec | [
"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 | 1,731 | 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
Helper tactic for showing that a type has decidable equality.
-/
prelude
import init.meta.contradiction_tactic init.meta.constructor_tactic
import init.meta.i... |
fa90a9d66020092dab5ab7dd572aa3e7e78706a8 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/function/7.lean | cbc20b0eae333642ab990724b3283b94c7ae7dd1 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 111 | lean | example (P Q F : Type) : (P → Q) → ((Q → F) → (P → F)) :=
begin
intros f g p,
exact g (f p),
end
|
0a07921f3341f17e5e0f63a4a49c0174762d48d5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/idempotents/simplicial_object.lean | cd18779b827eecd165f0dfeddae615454ec21f42 | [
"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 | 978 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.simplicial_object
import category_theory.idempotents.functor_categories
/-!
# Idempotent completeness of categories of simplicial objects
> THIS F... |
a5bb2e47075431f8c597cea4407ba17b46ae0754 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/foncteur/foncteur_affine_line/AGL_1_new.lean | 5e167039eddfe04188ae9a9c740419b8eb97afd3 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,567 | lean | import algebra.category.CommRing.basic
import algebra.ring
import tactic
/--
## This is the groupe AGL_1(R) : x ↦ ax + b invertible i.e with a inveritible ! The goal is to make
## into a groupe for composition !
-/
structure AGL_1 ( R : Type) [comm_ring R] :=
(a b : R)
(y : R)
(certif : a * y = 1)
namespace AGL_1
... |
b7024b37aede31c1d668844603ceba3cc2609896 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/data/list.lean | e8e547189b2a2a18a502b6175dd94f318a544540 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 4,814 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
This is a minimal port of functions from the lean2 list library.
-/
import init.data.list.basic
universe variables u v w
namespace list
open nat
variables {α :... |
468aa00888cb2476bc58177bcfe6133da2ebed8d | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/sesquilinear_form.lean | e153250425dd02c96122eb96b42cd8669f657f94 | [
"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 | 12,164 | 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... |
a91b665cdb25d19735571bf2d6a23c07449843ed | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/x86_semantics/src/x86_semantics/machine_memory.lean | 6c2b644e906c62bdf7d0e42db85c2f3a025fb3f7 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 3,756 | lean |
import galois.data.bitvec
import data.buffer
import .buffer_map
@[reducible]
def memaddr := bitvec 64
@[reducible]
def byte := bitvec 8
-- -- FIXME: maybe ℕ is more efficient here?
-- inductive region
-- | has_contents : buffer byte -> region
-- | all_zeroes : ℕ -> region
@[reducible]
def init_memory := bu... |
dfb42128720b910556f8f9605e11c4de7f39fe32 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/sites/sheaf_of_types_auto.lean | 845ab22098a24eefe60a310f8bc51ec12e8bc255 | [] | 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 | 38,297 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.sites.pretopology
import Mathlib.category_theory.limits.shapes.types
import Mat... |
d3954b2a0369eef1394291ba0572d28ee2a7893c | 5e42295de7f5bcdf224b94603a8ec29b17c2d367 | /proof_trace.lean | 03636cafaba465c5405b2e5e99c4a8dfd9a029a0 | [] | no_license | pnmadelaine/lean_polya | 9369e0d87dce773f91383bb58ac6fde0a00a1a40 | 1c62b0b3fa71044b0225ce28030627d251b08ebc | refs/heads/master | 1,590,161,172,243 | 1,515,010,019,000 | 1,515,010,019,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,699 | lean | import .datatypes .proof_reconstruction
namespace polya
open tactic
open proof_sketch
private meta def proof_sketch.trace_aux : string → proof_sketch → tactic string
| tab ⟨fact, reason, justifications⟩ :=
let line := tab ++ fact ++ " : " ++ reason ++ "\n" in
do js' ← justifications.mmap (proof_sketch.trace_au... |
4e010044018f54b187f7f88be3426d726b0fd940 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /tests/lean/hott/rewriter1.hlean | 2bd9ab6d9ae917cea4dff01a20ad48aebdd3df41 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 654 | hlean | import algebra.group
open algebra
constant f {A : Type} : A → A → A
theorem test1 {A : Type} [s : add_ab_group A] (a b c : A) : f (a + 0) (f (a + 0) (a + 0)) = f a (f (0 + a) a) :=
begin
rewrite [
add_zero at {1, 3}, -- rewrite 1st and 3rd occurrences
{0 + _}add.comm] -- apply commutativity to (0 + _)
end... |
f4c7e2a97f8c18808630a2d281f99051a12e9002 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rewriter2.lean | 2ab8b6cec8c61f70056e86e658565c19fe70f101 | [
"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 | 1,402 | lean | import data.nat
open algebra
constant f {A : Type} : A → A → A
theorem test1 {A : Type} [s : comm_ring A] (a b c : A) : f (a + 0) (f (a + 0) (a + 0)) = f a (f (0 + a) a) :=
begin
rewrite [add_zero at {1, 3}, -- rewrite 1st and 3rd occurrences
{0 + _}add.comm] -- apply commutativity to (0 + _)
end
chec... |
a10aa74c7a6577e2fd154cc1ee3114ca25d97ed6 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/final/var_test.lean | e9f6e754b8d03bdfe377589985f2ef3a7b0e9f29 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 335 | lean | import .var
-- some arithmetic variables
def X : var nat := var.mk 0
def Y : var nat := var.mk 1
def Z : var nat := var.mk 2
-- some Boolean variables
def P : var bool := var.mk 0
def Q : var bool := var.mk 1
def R : var bool := var.mk 2
-- test our var_eq function
example : var_eq X X = tt := rfl
example : var_eq ... |
df3759983811a8601abd46f732adff2d7d5b6c76 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/bytearray_bug.lean | 69cace51193b8872f6be092f0fa701db953c79a6 | [
"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 | 151 | lean |
def main (xs : List String) : IO Unit :=
let arr := (let e := ByteArray.empty; e.push (UInt8.ofNat 10));
let v := arr.data.get! 0;
IO.println v
|
698eb5b21f4cbdda9fd6a45c4befb739ec25eac0 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/homotopy/homotopy_group.hlean | 9d1acd6a401fd679ee1d57958af5481a3e9e9c90 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 12,542 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Clive Newstead
-/
import .LES_of_homotopy_groups .sphere .complex_hopf
open eq is_trunc trunc_index pointed algebra trunc nat is_conn fiber pointed unit group
n... |
48335bdf2071a1ac92c7d9a71aeaab1da6426240 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/algebra/category/Algebra/limits.lean | 4503f7594b1421047d28e6c2fe49b812c3905c57 | [
"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 | 5,273 | 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.category.Algebra.basic
import algebra.category.Module.limits
import algebra.category.CommRing.limits
/-!
# The category of R-algebras has all limits
... |
0646b698fd1beb86ed78c2dddc7cf33f322ae5c5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/localNotationPP.lean | 1e0b3fd805e1927692817d8c4e648af564e57832 | [
"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 | 115 | lean | axiom n : Type → Type
section
local notation "ℕ" x => n x
end
#check n Nat -- should *not* be `ℕ Nat : Type`
|
6a9135b0d6d7a37fbab6c8fc33e0062ed8dc37f4 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/sheaves/sheaf_condition/equalizer_products.lean | d4df2d1c2df4637e443fccb8f36a686a3fe6f5d9 | [
"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 | 8,608 | 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 category_theory.full_subcategory
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.products
import topology.sheaves.presheaf... |
a6ee6efbca035b0e68ba45f5b8944439d36a8988 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/polynomial/gauss_lemma.lean | 1e2e1462c40d5cacc9c18a375430c929c9e6409f | [
"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 | 7,634 | 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 ring_theory.int.basic
import ring_theory.localization
/-!
# Gauss's Lemma
Gauss's Lemma is one of a few results pertaining to irreducibility of primitive pol... |
cf131f03e58fec95d662dfb5df468ca8eae7830b | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/IR/ElimDeadBranches.lean | 0848c0547c91cb26e70d2aabfc34066f46c2bb68 | [
"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 | 11,561 | 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.Compiler.IR.Format
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.CompilerM
namespace Lean.IR.UnreachableBranches
/-- Value used in the... |
73ee2ed2005e77845fc3c26b232e760503210383 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_792.lean | c0071b0785fe07e17fdd7782dfd0f2925669377a | [] | 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 | 731 | lean | import tactic
namespace hidden
def even (a : ℕ) := ∃ b, a = 2 * b
-- BEGIN
example (n : ℕ) (h : even n) : even (5*n) :=
begin
unfold even at h, -- Using the definition of even, `h : ∃ b, n = 2 * b`
unfold even, -- Using the definition of even, the goal is `∃ b, 5n = 2b`
cases h with c k, -- By exists elimination ... |
16ed664683ac38b6998d2f3c4fb32dd9b291219b | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/prod/basic.lean | 240beda2eb6e20d573ff9f9fe79478000d3e42d9 | [
"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 | 12,874 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import tactic.basic
import logic.function.basic
/-!
# Extra facts about `prod`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corre... |
17c33bffbc78e8f33efec96d9c87981a9bc1d175 | c1cc0e0109964c513d82364865617b077fbbca41 | /src/homs.lean | 252acafee37497c8b4678b028f50b129855d0711 | [] | no_license | loganrjmurphy/lean-algebra | 314f12a28459d8734200207b4304ce036b0c886d | 474ac0c2714b7c0ad544a90c0d0807b92a0da227 | refs/heads/master | 1,675,055,520,716 | 1,607,564,600,000 | 1,607,564,600,000 | 316,637,587 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,125 | lean | import definitions subgroups basic tactic
open function tactic
universe u
namespace Algebra
variables (G H : Type u) [group G] [group H]
structure hom :=
(f : G → H)
(prsv : ∀ a b : G, f(a + b) = f a + f b)
def iso : Type* := {φ : hom G H // bijective φ.f}
def image (φ : hom G H) : set H:=
set.range φ.f
lemma... |
3c5196c4051e376fe9c574097758d68d7530a2cd | bb31430994044506fa42fd667e2d556327e18dfe | /src/probability/variance.lean | 2e539b0e9810e10a99725ee155f42f5a5f111f1e | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 17,310 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Kexing Ying
-/
import probability.notation
import probability.integration
/-!
# Variance of random variables
We define the variance of a real-valued random vari... |
998f53404a6718fddc4e43746e9e0f68cc5c3d90 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/solutions/thursday/category_theory/exercise9.lean | 8f0c6e0746f36466132480364345897c1c86e0a2 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,722 | lean | import category_theory.limits.shapes.biproducts
/-!
Let's show that every preadditive category embeds into a preadditive category with biproducts,
and identify a good universal property.
This is a more advanced exercise, for which I've indicated a suggested structure,
but not written a full solution. I hope this stru... |
ecc3275ad784e6a7c794013e777de5c8d358db24 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/set/intervals/surj_on.lean | 3cdfd9294483e24563c3e0f55d6567ddc66b37e0 | [
"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 | 3,983 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Heather Macbeth
-/
import data.set.intervals.basic
import data.set.function
/-!
# Monotone surjective functions are surjective on intervals
A monotone surjective function sends any i... |
28401e6882f88208f246c3b5d33f9f9761b073a1 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/for_mathlib/coprod/bicoprod.lean | c5cc6317d88691427cbf31c5d2a52e743d513a27 | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,488 | lean | import .basic
universes u v
variables (M N : Type u) [monoid M] [monoid N]
variables (G H : Type u) [group G] [group H]
variables {K : Type v} [monoid K]
def bicoprod_monoid_aux (b : bool) : monoid (cond b M N) :=
{ mul := bool.cases_on b ((*) : N → N → N) ((*) : M → M → M),
one := bool.cases_on b (1 : N) (1 : M),... |
c1dd8cedfc65d2a029dd26d0bce6f87166e2b00f | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch4/ex0205.lean | 0006d3a51d4cb9998e303d7e6aa20347e65a4e44 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 195 | lean | universe u
variables (α β : Type u)
example (f : α → β) (a : α) : (λ x, f x) a = f a := eq.refl _
example (a : α) (b : α) : (a, b).1 = a := eq.refl _
example : 2 + 3 = 5 := eq.refl _
|
1d1d8e44dcbc8b6a1f0a78c5f2b17e54614be686 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/well_founded_set.lean | 317c480413b0d5f4950c12ce9eaba1d7370eeaf2 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,986 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.set.finite
import order.well_founded
import order.order_iso_nat
import algebra.pointwise
/-!
# Well-founded sets
A well-founded subset of an ordered typ... |
2f4d7c7068a8b7e03fc1c6fadc2b1feeb5279bf4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/group_completion.lean | 58687dd2595e647100691a7b57e2a0150a162509 | [
"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 | 10,445 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import topology.algebra.uniform_group
import topology.algebra.uniform_mul_action
import topology.uniform_space.completion
/-!
# Completion of topolog... |
e8e960976eaf295e44d59c41589e00689d92da5b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1587.lean | fc91d620f3e0db42c77c8066edf85478be6e3374 | [
"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 | 438 | lean | def f (x : ℕ) := x
theorem foo : ∀ (x : ℕ), f x = x := by simp [f]
set_option pp.instantiate_mvars false
example (x : ℕ) : f x = x :=
begin
transitivity, { refl, },
rw [foo],
end
example (x : ℕ) : f x = x :=
begin
transitivity, { refl, },
simp [foo],
end
-- example : 8 + 4 ≤ 12 :=
-- begin
-- transitivit... |
8785a3d0c3b7a4671f3726dd0e3ed872f6821bc1 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/tests/SExp.lean | aa5fece58a9698ed2b00269d7c263de634ff86a9 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 1,349 | lean |
import Galois.Data.SExp
namespace Test
namespace SExp
structure Atom :=
(val:String)
def Atom.toString (a:Atom) : String := a.val
instance Atom.HasToString : HasToString Atom := ⟨Atom.toString⟩
def parseAtom (input:String) : Except String Atom := pure $ Atom.mk input
abbrev SExpr := WellFormedSExp.SExp Atom
de... |
ae5068aa3f495bb5621c9e7e00a9762ea40f6578 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/doc_commands.lean | af4edd1fe37406976f2982ee1386f13464b61cca | [
"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 | 17,381 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.fix_reflect_string
/-!
# Documentation commands
We generate html documentation from mathlib. It is convenient to collect lists of tactics, commands,... |
261d382f7ad76b6f218b93370e784de7349a05c3 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/uniform_space/complete_separated.lean | 05dc2955a4d34a5b032386a241237a4b494150a5 | [
"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 | 1,334 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Theory of complete separated uniform spaces.
This file is for elementary lemmas that depend on both Cauchy filters and separation.
-/
import topology.uniform_spa... |
01652954928173c90b285aa8f44f693e8decab09 | 0c5abeb1db6cbe28b53bd9d53cb422215ea296c2 | /src/set_theory.lean | d26417b3a7fd57e962747cec734f734f303186e5 | [] | no_license | unitb/set_theory | 96fc1d2bc33492a9092c7cf62c898273f89d93db | a9df45fdea2903d92cc2acc40e14c518dddcdd02 | refs/heads/master | 1,628,455,672,723 | 1,510,380,624,000 | 1,510,380,624,000 | 110,322,541 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,746 | lean | import data.set.basic
import data.num.lemmas
import util.meta.tactic
universes u v w
def arity (α : Type u) : nat → Type u
| 0 := α
| (n+1) := α → arity n
section definitions
variable β : Type v
inductive pObject : Type (max v (u+1))
| mk (α : Type u) (A : α → pObject) : pObject
| atom : β → pObject
variable ... |
41eeaf851f956553ad127d83a6b6aa128baf6459 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/eq.hlean | 69345ce71522d91ad1f77c50aa22e2c5533470d8 | [
"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 | 21,500 | hlean | /-
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
Partially ported from Coq HoTT
Theorems about path types (identity types)
-/
import types.sigma
open eq sigma sigma.ops equiv is_equiv equiv.ops is_trunc
-- TODO: ... |
5d87486d37b242e6dc51a916faa16f1dcd683c65 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/tactic23.lean | 6573e206c5c2236c313a38f9a7532cedd33152bb | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,004 | lean | import logic
namespace experiment
inductive nat : Type :=
| zero : nat
| succ : nat → nat
namespace nat
definition add (a b : nat) : nat
:= nat.rec a (λ n r, succ r) b
infixl `+` := add
definition one := succ zero
-- Define coercion from num -> nat
-- By default the parser converts numerals into a binary representat... |
cbb08ff10fd9455e007a094e8f80d5c859641ddc | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/meta7.lean | df3b99da83b63231b55504bc1604d0d56d480d63 | [
"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 | 1,590 | lean | import Lean.Meta
open Lean
open Lean.Meta
def fact : Nat → Nat
| 0 => 1
| n+1 => (n+1)*fact n
set_option trace.Meta true
set_option trace.Meta.isDefEq false
set_option trace.Meta.check false
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unlessM x $ t... |
22778d91ffcba0e3e6cd7cb04df4d5842cd77993 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/mvar_fvar.lean | 39d9c9938608c89fbbf49397d2cc7dffa17908b6 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 279 | lean | import Init.Lean
open Lean
#eval (mkFVar `a).hasFVar
#eval (mkApp (mkConst `foo) (mkFVar `a)).hasFVar
#eval (mkApp (mkConst `foo) (mkConst `a)).hasFVar
#eval (mkMVar `a).hasMVar
#eval (mkApp (mkConst `foo) (mkMVar `a)).hasMVar
#eval (mkApp (mkConst `foo) (mkConst `a)).hasMVar
|
13a49e264e3e452fd2b7bb765b0c51e1c128b75a | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/vector2.lean | f3643a190f81984dfd155120aa455682f5f7b135 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 10,737 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Additional theorems about the `vector` type.
-/
import tactic.tauto
import data.vector
import data.list.nodup
import data.list.of_fn
import control.applicative
univers... |
6a01a217b01cd642b0c12c4bc9b34ab550d6cbee | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/relation.lean | e4613d88f919d9ffc55150b142efc6b034e4efdc | [
"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 | 1,428 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Leonardo de Moura
import logic.eq
-- TODO(Leo): remove duplication between this file and algebra/relation.lean
-- We need some of the following definitions asap when "ini... |
9e328aa7e3268d65bf9377fa1d8a8ad057d06bc3 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/subgroup/basic.lean | b18053c47065b34973b32305a01f2a7a4be73b46 | [
"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 | 108,268 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import algebra.group.conj
import algebra.module.basic
import algebra.order.group.inj_surj
import data.countable.basic
import group_theory.submonoid.centralizer
import logic... |
7a5dde72423749da6dade7d3f9d3de3ea44d985e | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/polynomial/denoms_clearable.lean | 0dc884f4b526a03aea304eedad0a72b6320cc4fe | [
"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 | 4,688 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.erase_lead
import data.polynomial.eval
/-!
# Denominators of evaluation of polynomials at ratios
Let `i : R → K` be a homomorphism of semirings... |
d033c9b07903bfd1af08d43b7839b58034018bee | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/lattice_intervals.lean | 590b6cc3251fe7e5468b376c7450229c3cd4e86c | [
"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 | 7,549 | 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 order.bounded_lattice
import data.set.intervals.basic
/-!
# Intervals in Lattices
In this file, we provide instances of lattice structures on intervals with... |
898ebaf916f523ed0109bdc424fa4bce1c690f2b | 3ef5255cebe505e5ab251615d9fbf31a132f461d | /lean/old/sigmas.lean | baec3a6e96f9f8704ad1c8c742f4fd6f6fa4e84b | [] | no_license | avigad/scratch | 42441a2ea94918049391e44d7adab304d3adea51 | 3fb9cef15bc5581c9602561427a7f295917990a2 | refs/heads/master | 1,608,917,412,424 | 1,473,078,921,000 | 1,473,078,921,000 | 17,224,172 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,759 | lean | ----------------------------------------------------------------------------------------------------
--
-- sigmas.lean
-- Jeremy Avigad
--
-- experimenting with axiomatized pairs
--
----------------------------------------------------------------------------------------------------
import macros
universe U ≥ 2
-- th... |
020c09620952bcb81bb3e45dce559e5ccb348b6d | d1bbf1801b3dcb214451d48214589f511061da63 | /src/topology/instances/nnreal.lean | 270a085901df5caba06cac0dff25c92fc0547cb7 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,941 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
noncomputable theory
open set topological_space metric
open_l... |
4ef4b8b4a2551ee02a385e6f16b7a3ac97188892 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/integral/periodic.lean | dda056f6229865ac560e31db1e854e89b1fe70eb | [
"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 | 16,262 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Alex Kontorovich, Heather Macbeth
-/
import measure_theory.measure.haar_quotient
import measure_theory.integral.interval_integral
import topology.algebra.order.floor
... |
1c061a90e7c301a2dcdecc9da641be20508141a4 | a88f0086fb3e2025ebb21e0ba2f2725774c6979f | /src/algebra/big_operators.lean | a72e0b7745834b7efaa00f247afbcbc09cfe87e8 | [
"Apache-2.0"
] | permissive | Kha/stdlib | b5a4456c35def0ca8f1bf2d32dbeebd7639cbc4d | e44b105c72ec77120f43a7a7dd1cd49867a65a41 | refs/heads/master | 1,609,528,111,500 | 1,572,963,395,000 | 1,572,963,395,000 | 98,516,307 | 0 | 1 | null | 1,501,146,352,000 | 1,501,146,352,000 | null | UTF-8 | Lean | false | false | 31,849 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import tactic.tauto data.list.basic data.finset data.nat.enat
import algebra.group algebra.ordered_group algebra.group_... |
6a1e497d7215b0e5d297eefb4d6b00f587985368 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /algebra/order.lean | a99882d2fc8aeb5701333605bd95d67960e829ae | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,022 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
universe u
variables {α : Type u}
lemma not_le_of_lt [preorder α] {a b : α} (h : a < b) : ¬ b ≤ a :=
(le_not_le_of_lt h).right
lemma not_lt_of_le [preorder α] {a b... |
1b23996d34d0ecd535b828d621672fc1f249384a | b9d8165d695e844c92d9d4cdcac7b5ab9efe09f7 | /src/analysis/calculus/fderiv.lean | 4a299098641a1096ac1e3c2791d7e7b462d531fa | [
"Apache-2.0"
] | permissive | spapinistarkware/mathlib | e917d9c44bf85ef51db18e7a11615959f714efc5 | 0a9a1ff463a1f26e27d7c391eb7f6334f0d90383 | refs/heads/master | 1,606,808,129,547 | 1,577,478,369,000 | 1,577,478,369,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,310 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel
-/
import analysis.asymptotics analysis.calculus.tangent_cone
/-!
# The Fréchet derivative
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E... |
f2de78e98167bba3ba926da36483cfd79f6c2032 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/sesquilinear_form.lean | 424d7d21623dc90e0d49a0fba060ad64b2d17766 | [
"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 | 8,797 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Andreas Swerdlow
-/
import algebra.module.basic
import ring_theory.ring_invo
/-!
# Sesquilinear form
This file defines a sesquilinear form over a module. The definition requires a r... |
91a1bc1dde9cf6e707a2d664755993f9cae2c76f | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/finmap.lean | a6fad5326f3f55ff1160ccfc8447637edcce2f77 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 8,678 | lean | /-
Copyright (c) 2018 Sean Leather. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sean Leather, Mario Carneiro
Finite maps over `multiset`.
-/
import data.list.alist data.finset data.pfun
universes u v w
open list
variables {α : Type u} {β : α → Type v}
namespace m... |
9c9d560466b1fc2d949665c7e6e7270ab0725009 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/inc_matrix.lean | 46829ff8eceb39c7698026fabd1c4a690b34e01f | [
"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 | 6,938 | lean | /-
Copyright (c) 2021 Gabriel Moise. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Moise, Yaël Dillies, Kyle Miller
-/
import combinatorics.simple_graph.basic
import data.matrix.basic
/-!
# Incidence matrix of a simple graph
> THIS FILE IS SYNCHRONIZED WITH ... |
d1a0915c495cae29968bf52c39d0c4788754b827 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/measure_theory/bochner_integration.lean | b446001fff5e13512a8cd773b2a9d951db2d88be | [
"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 | 69,629 | 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
-/
import measure_theory.simple_func_dense
import analysis.normed_space.bounded_linear_maps
import measure_theory.l1_space
import topol... |
00d1b685292e196fa4e2f077a59cd848dc0fbbae | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/Moore_complex.lean | 5c835034f90df88e52ee177e4f6a6aef889d9d3e | [
"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 | 5,644 | 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.homological_complex
import algebraic_topology.simplicial_object
import category_theory.abelian.basic
/-!
## Moore complex
> THIS FILE IS SYN... |
b7f5bfa97172c00985e33186274d1570e3e23704 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/order/filter/filter_product.lean | 1ce8449f09d0c524ad9b80229daf8c6e79dbabfb | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 22,480 | lean | /-
Copyright (c) 2019 Abhimanyu Pallavi Sudhir. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Abhimanyu Pallavi Sudhir
"Filterproducts" (ultraproducts on general filters), ultraproducts.
-/
import order.filter.basic
import algebra.pi_instances
universes u v
variable... |
2b1bc43e9c5859485ee35985ce8f244c78d0ffaf | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/data/int/basic.lean | 3572e37a8e1a7d0fb088b4430db701ba8b78ee9c | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 50,949 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic data.list.basic algebra.char_zero algebra.order_functions
open nat
namespace int
... |
7b510bd1b12e7af59ac731448dc324b8fb92baa2 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/analysis/analytic/composition.lean | 9423e0dc1041e088f5a9b383cbb8a2085e91cb8c | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 56,513 | 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... |
161083c48ed50ee3375bac60996d93e59c0e99ad | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/data/string/default.lean | 106a8a6380234286bc8306c9d67f00362eecbb82 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 250 | 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.data.string.basic init.data.string.instances init.data.string.ops
|
684af5d4fafd9646dde26a629bf0a23e6dc7776d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/special_linear_group_auto.lean | dd31f91b460d05949150af932721a7574e8e9b3f | [] | 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 | 7,819 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen.
The Special Linear group $SL(n, R)$
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.linear_algebra.matrix
import Mathlib.linear_algebra.... |
3073bbbfe63ba2228185fbc1e662b9196bfeac25 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/order.lean | 92c69423761b537b1f054015c5fecd521131597b | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 28,866 | 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
-/
import topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
a27d552e13e03b00c3abaccd0293d61355bfc4e1 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/algebra/module/weak_dual.lean | 627aa29f3062c6203106d7222250a18f4a113781 | [
"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 | 12,290 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä, Moritz Doll
-/
import topology.algebra.module.basic
/-!
# Weak dual topology
This file defines the weak topology given two vector spaces `E` and `F` over a commutative se... |
0b06cfd30ba78fca72dd19492bbfb39993efde60 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/rbtree/insert.lean | b004530899cb762e266db6254c2e5e8dd785e316 | [
"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 | 34,141 | 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
-/
import data.rbtree.find
universes u v
local attribute [simp] rbnode.lift
namespace rbnode
variables {α : Type u}
open color
@[simp] lemma balance1_eq₁ (... |
d60a630444fb7c0edcc50dead8363ce0eab7022e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/matrix/adjugate.lean | eb87b9f7f57c4e10708a004d85734324e7dc47a0 | [
"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 | 20,157 | lean | /-
Copyright (c) 2019 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.regular.basic
import linear_algebra.matrix.mv_polynomial
import linear_algebra.matrix.polynomial
import ring_theory.polynomial.basic
/-!
# Cramer's rule and... |
ec9d13d0e07eb5a0b878224f0005e16c0858ccda | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch4/ex0203.lean | bc9d8177fe5a1555a9d2ec833e58ecd07574e9f2 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 164 | lean | universe u
variables (α : Type u) (a b c d : α)
variables (hab : a = b) (hcb : c = b) (hcd : c = d)
example : a = d := eq.trans (eq.trans hab (eq.symm hcb)) hcd
|
3cb03660ca93212a1893fd2a210d80c2c686e86f | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/analysis/calculus/deriv.lean | 24afc8aa0446fcd44d8a6bc179049a0771567db0 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 69,532 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sébastien Gouëzel
-/
import analysis.calculus.fderiv
import data.polynomial
/-!
# One-dimensional derivatives
This file defines the derivative of a function `f : 𝕜 → ... |
88bea19cbab76f57c47223a727f148d7954158ec | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/non_zero_divisors.lean | 1fddb40618df5ced04e73322e1ac06e7de6f09ae | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 3,746 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Devon Tuma
-/
import group_theory.submonoid.operations
import group_theory.submonoid.membership
/-!
# Non-zero divisors
In this file we define the submonoid `non_zero_divisors... |
e8cbdfe15deef78bc6b1296afa18a6586901beb7 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/InfoTree/Types.lean | d6b8e3e0cf105d849b9a4c0d7241848a7deea737 | [
"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 | 7,234 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Message
import Lean.Data.Json
namespace Lean.Elab
/-- Context after executing `liftTermElabM`.
Note that... |
0676b72790a90840564cb266c5b41517e8d100b1 | 1546f9083f4babf70df0329497d1ee05adc8c665 | /src/monoidal_categories_reboot/slice_tactic.lean | 38aec0a5e7ccbcbb6898b32e1bd94aa0e896c1af | [
"Apache-2.0"
] | permissive | khoek/monoidal-categories-reboot | 0899b0d4552ff039388042059c91f7207c6c34e5 | ed3df8ecce5d4e3d95cb858911bad12bb632cf8a | refs/heads/master | 1,588,877,903,131 | 1,554,987,273,000 | 1,554,987,273,000 | 180,791,863 | 0 | 0 | null | 1,554,987,295,000 | 1,554,987,295,000 | null | UTF-8 | Lean | false | false | 1,460 | 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.category
import category_theory.functor
import category_theory.products
import category_theory.natural_isomorphism
import category_theory.t... |
cfd7e0ce7aca441ec72715a2e04a404b24899886 | a6f55abce20abcd06e718cb3e5fba7bf8a230fa1 | /topic/shape.lean | 19db08177d71f899b6ee343a651accab25c39608 | [] | no_license | sonna0909/abc | b8a53e906d4d000d1f2347173a1cd4221757fabf | ff7b4c621cdf6d53937f2d1b6def28de2085a2aa | refs/heads/master | 1,599,114,664,248 | 1,573,634,309,000 | 1,573,634,309,000 | 219,406,484 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,464 | lean | [
{
"key": "circle",
"title": "Circle",
"spelling": "/ˈsɜːkl/",
"subs": [
{
"key": "circle1",
"title": "The eggs is circle",
"spelling": ""
}
]
},
{
"key": "oval",
"title": "Oval",
"spelling": "/əʊvəl/",
"subs": [
{
"key": "oval... |
16d00862d5822d2b893871f8524be9b1e5381ed1 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/advanced_proposition/09.lean | 8a0ff1e4b1596397040c0aadb8fe3dd9d309b590 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 101 | lean | lemma contrapositive2 (P Q : Prop) : (¬ Q → ¬ P) → (P → Q) :=
begin
-- destroyed
cc,
end
|
4b0791493171362f75743bf6a08c1c8c9c4bb6d0 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/list/zip.lean | 4c2cb0cadf2901d254d7465c76ad75135883157a | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 6,002 | 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
-/
import data.list.basic
universes u v w z
variables {α : Type u} {β : Type v} {γ : Type w} {δ : Type z}
open nat
namespace list
/- zip & unzip -/
@[si... |
4349b6ede4cee9d9c7bc22c23b485701564231ff | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/primes_congruent_one.lean | 21e0107bb3e6664d9a3e75dcc61275d059be3a92 | [
"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 | 2,982 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.polynomial.cyclotomic.eval
/-!
# Primes congruent to one
We prove that, for any positive `k : ℕ`, there are infinitely many primes `p` such th... |
d5a12c8441ca36a29bb75612f216426c468f510b | 36cfb52a5926b96dc8a44d3b71d2f14a21ef8574 | /float.lean | 4be7653cb47db9b4d5d669c20972b3c963be2f63 | [] | no_license | minchaowu/relevance_filter | b46e3cc166b8225b19fac61b8f9911eeecdd42d8 | 3ae59d297ed5a07bd14749112e520b74209f10fd | refs/heads/master | 1,631,071,413,821 | 1,507,745,131,000 | 1,507,745,131,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,232 | lean | -- this will only run on the hacked lean: https://github.com/rlewis1988/lean/floats
meta constant float : Type
meta constant float.to_string : float → string
meta constant float.add : float → float → float
meta constant float.sub : float → float → float
meta constant float.mul : float → float → float
meta const... |
c0402dd45da2e7c509062021af7f91c1413d64c8 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /ring_theory/subring.lean | 0b2951ef6852ff657c6ea084d4ad2627d5cee2e4 | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 1,199 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import group_theory.subgroup
import data.polynomial
import algebra.ring
local attribute [instance] classical.prop_decidable
universes u v
open group
variables {R ... |
22c46fc02009e90a02e5cf9f52517e65b048e4f3 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category_theory/full_subcategory.lean | 4fc4827415196af7eb7247599009eba2287ba6b7 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 836 | 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 category_theory.embedding
namespace category_theory
universes u v
section
variables {C : Type u} [𝒞 : category.{u v} C]
include 𝒞
instance full_subcat... |
f628882769a89c64046716a0523f4c1aa26701e6 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/nat/digits.lean | 1ff00efce4faea73f1755d7251bc46a29579c6fd | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 16,157 | 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 data.int.modeq
import tactic.interval_cases
import tactic.linarith
/-!
# Digits of a natural number
This provides a basic API for extracting the digits of a ... |
f8e244c8cc96060a8711a691a99e5cf2d9ebc9d3 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /theories/set_theory.lean | ea9c7a0b0a90c3d642768eb638ce7aebc5e0c714 | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,713 | lean | import data.set.basic
universes u v
def arity (α : Type u) : nat → Type u
| 0 := α
| (n+1) := α → arity n
inductive pSet : Type (u+1)
| mk (α : Type u) (A : α → pSet) : pSet
namespace pSet
def type : pSet → Type u
| ⟨α, A⟩ := α
def func : Π (x : pSet), x.type → pSet
| ⟨α, A⟩ := A
def mk_type_func :... |
3800b2eb08e79f77e61e9df69c6251bb21aa4dbb | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/system/io.lean | fa1b2a1ecfefd0cb039d8ab8c7dbc95aef875e3c | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 4,683 | 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
import system.process
inductive io.error
| other : string → io.error
| sys : nat → io.error
str... |
0f30996da196a940b49a4bfd0e5856e80f22e4fc | c777c32c8e484e195053731103c5e52af26a25d1 | /src/field_theory/is_alg_closed/basic.lean | 9765b18916db87a5fb376815e2462002c6705ed4 | [
"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 | 21,849 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import field_theory.normal
import field_theory.perfect_closure
import ring_theory.localization.integral
/-!
# Algebraically Closed Field
In this file we define the typeclass... |
558d1bc37986c3db161fe3fb45731286a1d6970d | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/calculus/fderiv.lean | e30492426ca7ace4facfb498aed4adfc4e57fff1 | [
"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 | 114,775 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.tangent_cone
import analysis.normed_space.units
/-!
# The Fréchet derivative
Let `E` and `F` be normed sp... |
fd45bcfbf8961a958db84d0020315eb6d033fba4 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/order_of_element.lean | 13d8db3031ddbb8db1a280318e234d6befbedbb8 | [
"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 | 28,707 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Julian Kuelshammer
-/
import algebra.pointwise
import group_theory.coset
import dynamics.periodic_pts
import algebra.iterate_hom
/-!
# Order of an element
This file d... |
30a1734b61a18f4695e39db58b2f3ccfc4fae1fc | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/topology/algebra/module.lean | 6df0660878a285d6a7e280476ff65f64cd46aad6 | [
"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 | 58,490 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import topology.uniform_space.uniform_embedding
import algebra.algebra.basic
import li... |
61f561be8b92240a6c6017ea2060925feecdd191 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/polynomial/hermite/gaussian.lean | 0dc26ea76c07f0a40fcfca57bfff098aea8066a7 | [
"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 | 2,379 | lean | /-
Copyright (c) 2023 Luke Mantle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Mantle, Jake Levinson
-/
import ring_theory.polynomial.hermite.basic
import analysis.special_functions.exp
import analysis.special_functions.exp_deriv
/-!
# Hermite polynomials and... |
ce068773030ce5fe29360133b7b560a38fcad774 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /src/Lean/Elab/Syntax.lean | e491a6ec438523a7a81d54de95c34367cb45e0ba | [
"Apache-2.0"
] | permissive | cwb96/lean4 | 75e1f92f1ba98bbaa6b34da644b3dfab2ce7bf89 | b48831cda76e64f13dd1c0edde7ba5fb172ed57a | refs/heads/master | 1,686,347,881,407 | 1,624,483,842,000 | 1,624,483,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,360 | 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.Elab.Command
import Lean.Parser.Syntax
import Lean.Elab.Util
namespace Lean.Elab.Term
/-
Expand `optional «precedence»` where
«precedence» := ... |
5e0777b3fc3300c2a706be51f0b3ce8e4b05d992 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/function.hlean | 7161f8ee3fa8be626d210290e065011190ef4d04 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 14,511 | hlean | /-
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
Ported from Coq HoTT
Theorems about embeddings and surjections
-/
import hit.trunc types.equiv cubical.square types.nat
open equiv sigma sigma.ops eq trunc is_trun... |
6c4cb2027e715d2837914a75a4489bbccd0e0eb2 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/zsqrtd/gaussian_int.lean | e3a07475dd96ccd3c7d180a1e7ddf6235c99cc16 | [
"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 | 12,727 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.quadratic_reciprocity
/-!
# Gaussian integers
The Gaussi... |
d12893d218306d9d466e48581d3ff5104cc655f3 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/run/ptst.lean | 44f2cf2911bf8eafdcfe3ad7817f96cbf497a174 | [
"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 | 77 | lean | open prod nat
-- Test tuple notation
#check ((3:nat), false, (1:num), true)
|
f77d3b67f0870dde5e63422a57fa757720169638 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/ring_theory/witt_vector/frobenius.lean | 01578a1a53540e2193d47427320caafce1a93548 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,423 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.nat.multiplicity
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
/-!
## The Frobenius operator
If `R` has characteristic `... |
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