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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
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
427337e8e320f9814a5a900e078339cd0ecf905a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/function/lp_space.lean | 8192c83bd44253b15338938e514c736d098f6e03 | [
"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 | 74,066 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import analysis.normed.group.hom
import measure_theory.function.lp_seminorm
import topology.continuous_function.compact
/-!
# Lp space
> THIS FILE IS... |
feffafc772c4fe65eee3ad608909edd9f6680a3f | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/category_theory/equivalence.lean | 2a613441008c2b2d5c3fa89259ee43ff14cccf9b | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,539 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.fully_faithful
import category_theory.whiskering
import tactic.slice
/-!
# Equivalence of categ... |
790ba26b53c0a0cc211350d4e6dbc816814ec49c | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/topology/metric_space/gluing.lean | 30b5b1d7e2ba28adc1d5f0082a658fb88c4aed34 | [
"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 | 23,863 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Gluing metric spaces
Authors: Sébastien Gouëzel
-/
import topology.metric_space.isometry
import topology.metric_space.premetric_space
/-!
# Metric space gluing
Gluing two metric spaces alo... |
5e37dcfd2b33887b06654bc65e1f8d965c403513 | bb31430994044506fa42fd667e2d556327e18dfe | /src/logic/basic.lean | bd88f41f2a834902c59a5e6bca07ee52b224c8ee | [
"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 | 68,717 | 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
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
55cb1f574d320b2dace4163eabd0c18e6e74f263 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/analysis/normed_space/operator_norm.lean | 51a24161f12013d6c3bd57cf2bb76ec4f0f42ae6 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 10,671 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Operator norm on the space of continuous linear maps
Define the operator norm on the space of continuous linear maps between normed s... |
13769cb5aa490f7c9fb0bc3f6dfde760f36ae27c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Init/Coe.lean | 3689d5a24850cebc70ff00170083a0754c6b014d | [
"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 | 11,932 | 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, Mario Carneiro
-/
prelude
import Init.Prelude
set_option linter.missingDocs true -- keep it documented
/-!
# Coercion
Lean uses a somewhat elaborate system ... |
f0be1410ca2f942f9b0315e62e1fd0c24821cdff | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/inequality/02.lean | 02458a4c7fd2513354c4002e24c545bbd901b44d | [
"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 | 66 | lean | lemma le_refl (x : mynat) : x ≤ x :=
begin
use 0,
ring,
end
|
f9fb3edac41d4eeb148d18bd4c42a0fdda353dda | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/model_theory/finitely_generated.lean | 2eee09bdd08a29bdcfa0a59588f266aba4a46bfc | [
"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 | 9,441 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.substructures
/-!
# Finitely Generated First-Order Structures
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a co... |
833af7e0a4a87efe4b05418d0782584353c1e820 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/small.lean | 20639dc5bfedded872c1df0fa62d934416a612a5 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 754 | lean | /- Categories which are small relative to a cardinal κ.
κ-filtered categories.
Normally we care about these concepts for categories which are
used to index (co)limits, so we work with small_categories. -/
import category_theory.category
import category_theory.functor
import category_theory.limits.shape -- for... |
c483491172c02c88b3a5283f99bcf741ac73b514 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/analysis/special_functions/integrals.lean | caa061c3cde04a147c6432ac2a9d118c63340854 | [
"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 | 8,978 | lean | /-
Copyright (c) 2021 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import measure_theory.interval_integral
/-!
# Integration of specific interval integrals
This file contains proofs of the integrals of various simple function... |
28d05f13006d64cde5e69e4e5fcdf450b6dbc955 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/linear_algebra/matrix/transvection.lean | 257fefad9b4d0972fd1c49dccbd1ad988fa9c7a9 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,163 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.matrix.determinant
import linear_algebra.matrix.trace
import linear_algebra.matrix.reindex
import tactic.field_simp
import data.matrix.bas... |
facd04c0d63d076e86e0109dbc94f7cc89f9abd5 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/control/functor/multivariate.lean | 0cc94dbebda24eb93a6553f40446de9092195706 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 7,629 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import data.fin2
import data.typevec
import logic.function.basic
import tactic.basic
/-!
Functors between the category of tuples of types,... |
a1baaf772f1145707914baa1139ac6108be130d3 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/List/Control.lean | 78a499d9b749f67ab2a992b94baa3f55365cec20 | [
"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 | 5,636 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Monad
import Init.Control.Alternative
import Init.Data.List.Basic
namespace List
universes u v w u₁ u₂
/-
Remark: we can define... |
1439d95b937a40d4a9e2c43939ff0b005f27f735 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/variables_typestar.lean | 8153a194897ae0802c897e3b9618b0605a1e1869 | [
"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 | 23 | lean | variables (A B : Type*) |
d658b6f72f69872cf92e50c7385712815769d11f | 9cba98daa30c0804090f963f9024147a50292fa0 | /old/src/classical_lumens.lean | 3ce3b7ac1ee18e364d78b6b5ca7936daa6296ed3 | [] | no_license | kevinsullivan/phys | dcb192f7b3033797541b980f0b4a7e75d84cea1a | ebc2df3779d3605ff7a9b47eeda25c2a551e011f | refs/heads/master | 1,637,490,575,500 | 1,629,899,064,000 | 1,629,899,064,000 | 168,012,884 | 0 | 3 | null | 1,629,644,436,000 | 1,548,699,832,000 | Lean | UTF-8 | Lean | false | false | 1,769 | lean | import .....math.affine.affine_coordinate_framed_space_lib
import .....math.affine.affine_coordinate_transform
import ..metrology.dimensions
import ..metrology.measurement
import data.real.basic
noncomputable theory
--open real_lib
open measurementSystem
open aff_fr
open aff_lib
open aff_trans
/-
add in a frame here... |
fe0c2605e41ff72594d0957b536abaf9aa6f415c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/category/CompHaus/basic.lean | 44100f91149c3c54b45f06a383fd8fb30529a426 | [
"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 | 9,615 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Bhavik Mehta
-/
import category_theory.adjunction.reflective
import topology.stone_cech
import category_theory.monad.limits
import topology.urysohns_lemma
import topology.cate... |
e6537a2bf1ee7a05185c862e731e9d686a0b54b7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/adjunction/basic.lean | af4a1777aed1142ad2af331db3a1a580b6c8d5d4 | [
"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 | 18,155 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Bhavik Mehta
-/
import category_theory.equivalence
import data.equiv.basic
namespace category_theory
open category
-- declare the `v`'s first; see `category... |
00d4663dd0c15bb6f2cb45d42f0be4eef878d7da | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed_space/banach_steinhaus.lean | 560c7f692aca9da41ba2c345e8d579f169ae8e7c | [
"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 | 6,362 | lean | /-
Copyright (c) 2021 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.operator_norm
import topology.metric_space.baire
import topology.algebra.module.basic
/-!
# The Banach-Steinhaus theorem: Uniform Boundedne... |
6ec0555b0106522390a9360a57050fa7912a9d24 | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/defs.lean | bd36bcb805b006f108ba7067e3671fbc94bb28c0 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 12,591 | lean | /-
Copyright (c) 2018-2019 Minchao Wu. All rights reserved.
Released under MIT license as described in the file LICENSE.
Author: Minchao Wu
-/
import data.list
open nat tactic subtype
inductive nnf : Type
| var (n : nat)
| neg (n : nat)
| and (φ ψ : nnf)
| or (φ ψ : nnf)
| box (φ : nn... |
7cad408c4e8362fe4f253674200c794aca0be517 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/complex/abs_max.lean | d99498d5098f4f6ecae23138bd9555b5a3890682 | [
"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 | 22,743 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.complex.cauchy_integral
import analysis.normed_space.completion
import analysis.normed_space.extr
import topology.algebra.order.extr_closure
... |
64afe314a0e2db5cd93ac899212ebfed43704e95 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/Data/List/Basic.lean | 1e0c40708fa3d0c3bcf3c3eae13b3b992eb75f21 | [
"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 | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 14,811 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.SimpLemmas
import Init.Data.Nat.Basic
open Decidable List
universe u v w
variable {α : Type u} {β : Type v} {γ : Type w}
namespace Lis... |
133b72e4a4a9af8e05a2b991818b3b3608e597a5 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/types/nat/order.hlean | 0d33b8934693d0256b498a5c03e322a32d1ec865 | [
"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 | 18,648 | hlean | /-
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, Leonardo de Moura, Jeremy Avigad
The order relation on the natural numbers.
-/
import .basic algebra.ordered_ring
open eq eq.ops algebra algebra
namespace nat
/-... |
195cee7c1df4f351bb261b1c4db0c551a50e45b1 | 43390109ab88557e6090f3245c47479c123ee500 | /src/M1P2/sheet_9.lean | 41f008586e3b2a6531114e042e78ba497c0ff1d6 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,861 | lean | import algebra.euclidean_domain data.set data.complex.basic data.int.modeq
variables {R : Type*} [euclidean_domain R]
variables a b : ℤ
def gaussian_ints : ℂ := ⟨a,b⟩
--def gaussian_ints_val : → ℕ := a^2 + b^2
--def valuation :
def poly_coeff_rat := list rat -- could also use finsupp
def ints_adj_sqrt (n : ℤ) := ... |
4ecec8edc7b6171abf0e6a89ed1b5d489b541cdb | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/continued_fractions/convergents_equiv.lean | e1ac8e348006f988514fd94774ce79e0c7630ce4 | [
"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 | 20,538 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.continuants_recurrence
import algebra.continued_fractions.terminated_stable
import tactic.linarith
import tactic.field_simp
/-... |
0cb072af156b836168068fecd1bb0057eec58321 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/termParserAttr.lean | aa63738d01fa6a3d0b20d94cb01b32091270b4ea | [
"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 | 2,095 | lean | import Lean
open Lean
open Lean.Elab
def runCore (input : String) (failIff : Bool := true) : CoreM Unit := do
let env ← getEnv;
let opts ← getOptions;
let (env, messages) ← process input env opts;
messages.toList.forM fun msg => do IO.println (← msg.toString)
if failIff && messages.hasErrors then throwError "errors ... |
76273b3e87ce32e6b0340e67d9e99b0e8c6d3ac3 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/topology/metric_space/isometry.lean | 1a016be9e4b6c82b0173c113e4780493a411bbe5 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,690 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
-/
import topology.bounded_continuous_function
import topology.compacts
/-!
# Isometries
We define isometries, i.e., maps... |
9974b8ce6865ac025c583c3e35f565566b2a6b8d | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/ReducibilityAttrs.lean | a0804bb1b54b5d229fe19cc2a583a7ce6bcab6cb | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,495 | 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.Attributes
namespace Lean
inductive ReducibilityStatus
| reducible | semireducible | irreducible
instance ReducibilityStatus.inhabited : Inha... |
b144885f63ab28e7834a8c004fa0c98b2addc493 | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/uniform_space/cauchy.lean | 78fb5c12227ee2b05288ca979261b05b35690759 | [
"Apache-2.0"
] | permissive | OHIHIYA20/mathlib | 023a6df35355b5b6eb931c404f7dd7535dccfa89 | 1ec0a1f49db97d45e8666a3bf33217ff79ca1d87 | refs/heads/master | 1,587,964,529,965 | 1,551,819,319,000 | 1,551,819,319,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,173 | 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
Theory of Cauchy filters in uniform spaces. Complete uniform spaces. Totally bounded subsets.
-/
import topology.uniform_space.basic
open filter topol... |
89ff27750e3d5c30a17c0a8bf6dc8d15103a0d30 | 379500fc55253ad8be47265634a6014d01a4782d | /src/solutions/friday/manifolds.lean | 0272c96d9949fd643e20fbaa1fc50d47eef99de5 | [] | no_license | dgvirtz/lftcm2020 | b0a2db6ebfd9f14e04b1931116afc77b277b5c2a | 3d84c76608cb41d4b59b985e8be2df7d8cd0cb10 | refs/heads/master | 1,668,684,436,232 | 1,594,989,081,000 | 1,594,989,081,000 | 280,418,622 | 0 | 0 | null | 1,594,988,947,000 | 1,594,988,946,000 | null | UTF-8 | Lean | false | false | 41,766 | lean | import for_mathlib.manifolds
noncomputable theory
open_locale manifold classical big_operators
open set
universe u
/-!
## Reminder on updating the exercises
These instructions are now available at:
https://leanprover-community.github.io/lftcm2020/exercises.html
To get a new copy of the exercises,
run the followi... |
3d28a29aa6ce92915065be7d7bfe7d6cb0b90166 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/ring_theory/coprime.lean | 47b4ddbef39928dfe2db42478add2b9f3095a9ac | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 7,576 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import algebra.big_operators
import data.fintype.basic
import data.int.gcd
import data.set.disjointed
/-!
# Coprime elements of a ring
## Main definit... |
97b6a0c108079b01ae9e205cf8bb6abeb84959d4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/general_recursion.lean | ca29ed91a7ddfe036c67bbfd1d533dae3b3bab2c | [
"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 | 10,708 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.norm_num
import tactic.linarith
import tactic.omega
import control.lawful_fix
import order.category.omega_complete_partial_order
import data.nat.basic
unive... |
600856b55a6c05552babe33140468a36103e166c | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/macro_macro.lean | 0d2758242c76aa62a295c86822407cf9ba1d8ea4 | [
"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 | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 313 | lean | macro "mk_m " id:ident v:str n:num c:char : command =>
let tk : Lean.Syntax := Lean.Syntax.mkStrLit id.getId.toString
`(macro $tk:strLit : term => `(fun (x : String) => x ++ $v ++ toString $n ++ toString $c))
#print " ---- "
mk_m foo "bla" 10 'a'
mk_m boo "hello" 3 'b'
#check foo "world"
#check boo "boo"
|
53792219e5bbb31a0b41bf7fb199fca4c88c0d0e | ebbdcbd7ddc89a9ef7c3b397b301d5f5272a918f | /qp/p0_stdlib/c4_algebra.lean | c75018e9ad0d3c83dc025cdb9390d539856e2897 | [] | no_license | intoverflow/qvr | 34b9ef23604738381ca20b7d622fd0399d88f2dd | 0cfcd33fe4bf8d93851a00cec5bfd21e77105d74 | refs/heads/master | 1,616,591,570,371 | 1,492,575,772,000 | 1,492,575,772,000 | 80,061,627 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,727 | lean | /- -----------------------------------------------------------------------
Facts about algebraic structures.
----------------------------------------------------------------------- -/
namespace qp
namespace stdaux
universe variables ℓ₁ ℓ₂ ℓ₃
/-! #brief A semigroup homomorphism.
-/
structure semigroup.hom
{A : Ty... |
a8ebf2a35ceb8ff1a5b1cf7715b7eba787726770 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/choose/central.lean | 36fa04c9d5c6e5793108bc893b70bea154ba549c | [
"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 | 4,185 | lean | /-
Copyright (c) 2021 Patrick Stevens. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Stevens, Thomas Browning
-/
import data.nat.choose.basic
import tactic.norm_num
import tactic.linarith
/-!
# Central binomial coefficients
This file proves properties of th... |
3eff549a15ed9bc9a23a4d48e932cae8b43bb1cc | bb31430994044506fa42fd667e2d556327e18dfe | /src/order/game_add.lean | f7207da171cae7f38e783f0caec316b52107010b | [
"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 | 2,992 | 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 order.basic
import logic.relation
/-!
# Game addition relation
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to math... |
ee33ea8071a47bf5e6c73118e7d6ec40a8756f92 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/min_max.lean | eac15f81078f2d9a036a7b963133c8b6659c55b3 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 11,225 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Chris Hughes
-/
import data.list.basic
/-
# Minimum and maximum of lists
## Main definitions
The main definitions are `argmax`, `argmin`, `minimum` and `maximum` for lists.
... |
bac124f2a8b0b7b218f7f068d9eb36d2153aa280 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/graded_algebra/basic.lean | cb47f95c02b29f7c05ae79247ac5a8fd06d26ecb | [
"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 | 9,154 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Kevin Buzzard, Jujian Zhang
-/
import algebra.direct_sum.algebra
import algebra.direct_sum.internal
import algebra.direct_sum.ring
import group_theory.subgroup.basic
/-!
# I... |
271b36753e962af154c61e8a6f7af0fd750e4c82 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/functor/inv_isos.lean | 0dc3e4d9e6f97efdee085426a6b66827b2d2b461 | [
"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 | 1,898 | lean | /-
Copyright (c) 2022 Antoine Labelle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle
-/
import category_theory.eq_to_hom
/-!
# Natural isomorphisms with composition with inverses
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file ... |
5bb7ce20ebe362669a24355f15cc6992c082fe0b | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /addition1.lean | a816e7349b6bc64bbf907125adc35f720bb3510b | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,319 | lean | local attribute [instance] decidable_inhabited prop_decidable
inductive xnat
| zero : xnat
| succ : xnat → xnat
open xnat
definition one := succ zero
definition two := succ one
definition add :xnat → xnat → xnat
| n zero := n
| n (succ p) := succ (add n p)
notation a + b := add a b
theorem one_add_one_equals_two : one... |
0908190cc2bfccae2865b211181b99fcc3c4f155 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/injection_tactic.lean | dde152855d408e90327a1e3ad0eff036aa216692 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 4,752 | 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, Jannis Limperg
-/
prelude
import init.meta.tactic
namespace tactic
open expr
/- Given a local constant `H : C x₁ ... xₙ = D y₁ ... yₘ`, where `C` and `D` a... |
962a9dcc6e654ea51ea574049c942665ab3a2c51 | 0179bcdbf094a112437450a02dc2bdc8b2f921d4 | /folklore/real_axiom.lean | a7edcd473860052ab032f042e6f73f0e18875620 | [
"CC-BY-4.0"
] | permissive | haselwarter/formalabstracts | cf0c129fc086526cef1bd65d95c6f95a9a7ec5c8 | eab6d94850308df9f09d23f3a9a2f7b5ac5c6c7a | refs/heads/master | 1,609,515,992,248 | 1,500,418,815,000 | 1,500,418,815,000 | 97,696,544 | 0 | 0 | null | 1,500,455,350,000 | 1,500,455,350,000 | null | UTF-8 | Lean | false | false | 3,207 | lean | /-
axiomatic development of the complete ordered field
of real numbers in classical logic.
At some point this should be replaced with an actual
construction.
T.Hales, July 15, 2017
-/
import meta_data
import data.list data.vector
noncomputable theory
namespace real_axiom
open classical nat int list vector
univer... |
e1dae15a093775cc641ae8acbd6af4472e8be192 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/liminf_limsup.lean | 8e2573f101b5a34ed2c4579b059f8435f0a257b9 | [
"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 | 23,892 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johannes Hölzl, Rémy Degenne
-/
import order.filter.partial
import order.filter.at_top_bot
/-!
# liminfs and limsups of functions and filters
Defines the Liminf... |
a74d9d856831cf3c8dd5beb7484a8aa5c83f6c5c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /test/instance_diamonds.lean | 9e0db87bd64862d4cbec7f3970ef2a14b8b88a90 | [
"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 | 8,493 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.module.pi
import data.polynomial.basic
import group_theory.group_action.prod
import group_theory.group_action.units
import data.complex.module
import ring_t... |
54cfc9ba97c582d113e9b117ebd40173d51a7ab9 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/unit.lean | de2d0132fc9f207f08e8b13253a624824a85ffd8 | [
"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 | 480 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic
lemma unit_eq (a b : unit) : a = b :=
unit.rec_on a (unit.rec_on b rfl)
lemma unit_eq_unit (a : unit) : a = () :=
unit_eq a ()
i... |
9a80afd459faa45f6856592d6ce260dfecd066f2 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/complex/abs_max.lean | c00c4fa95b66bd02718375f1f8bb04ca3645caf0 | [
"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 | 12,540 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.complex.cauchy_integral
import analysis.convex.integral
import analysis.normed_space.completion
import topology.algebra.order.extr_closure
/-... |
1579e2c2925ca4756fa658cd3d31ac3f579ee96c | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/measure_theory/set_integral.lean | 938fde42e3f5d74e8ede65183365a3a34551aa8f | [
"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 | 35,408 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.bochner_integration
import analysis.normed_space.indicator_function
/-!
# Set integral
In this file we prove some properties of... |
bd5c837ef2f5adcb6ba61ad8700730e69855afb3 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed_space/multilinear.lean | d8c2513325806ead9380bb5e4a8bc15e8bc2f989 | [
"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 | 72,380 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.module.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f`... |
21e74ddbf0a053136864653af66df23fb6950f1b | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/tactic_paper_supplemental_material/monoid_cancellation/simp.lean | 37d8b48b487e8fab60717ea5e557919f2ab743e5 | [
"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 | 244 | lean | import .monoid
local infix * := star
attribute [simp] star_comm star_assoc one_star
@[simp] lemma star_left_comm : ∀ a b c, a * (b * c) = b * (a * c) :=
left_comm star star_comm star_assoc
@[simp] lemma star_one (a) : a * o = a := by simp
|
6098e2958c73cfbc46afc7d4fabf81a78cec9e2c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/subtype/default.lean | 196786d79de8d7c2873dec17ab852bca9f0fd77d | [] | 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 | 323 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.subtype.basic
import Mathlib.Lean3Lib.init.data.subtype.instances
namespace Mathli... |
f46b8303dfc1535d21b5d2c9f912bcf1775976d3 | 4f065978c49388d188224610d9984673079f7d91 | /sheaf_fundamental.lean | 92d36f3695cace035f3b02151a0ed0450fd1fd41 | [] | no_license | kckennylau/Lean | b323103f52706304907adcfaee6f5cb8095d4a33 | 907d0a4d2bd8f23785abd6142ad53d308c54fdcb | refs/heads/master | 1,624,623,720,653 | 1,563,901,820,000 | 1,563,901,820,000 | 109,506,702 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 18,027 | lean | import topology.opens
universes v u
open topological_space lattice
variables (X : Type u) [topological_space X]
set_option old_structure_cmd true
structure presheaf : Type (max u (v+1)) :=
(F : ∀ U : opens X, Type v)
(res : Π U V : opens X, V ≤ U → F U → F V)
(res_self : ∀ U x, res U U (le_refl U) x = x)
(res_res :... |
07e737f27beab1de3eeec103423cd5d29c497c3c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/sum.lean | 46920ee8337bc8a2e09365f11bf38671c3447c8b | [
"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 | 5,610 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury G. Kudryashov
-/
import tactic.lint
/-!
# More theorems about the sum type
-/
universes u v w x
variables {α : Type u} {α' : Type w} {β : Type v} {β' : Type x}
o... |
b7b15491474accb751039ce0a37eec88ebd6c90b | 2c41ae31b2b771ad5646ad880201393f5269a7f0 | /Lean/Qualities/Dependable.lean | 79af3e140bda8bc5c58b3902a6952b6e42f0bc3e | [] | no_license | kevinsullivan/Boehm | 926f25bc6f1a8b6bd47d333d936fdfc278228312 | 55208395bff20d48a598b7fa33a4d55a2447a9cf | refs/heads/master | 1,586,127,134,302 | 1,488,252,326,000 | 1,488,252,326,000 | 32,836,930 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 782 | lean | import SystemModel.System
import Qualities.Secure
import Qualities.Safe
import Qualities.Reliable
import Qualities.Maintainable
import Qualities.Available
import Qualities.Survivable
import Qualities.Robust
/- Dependable -/
/-
[Dependable] is a composite attribute of [Security], [Safety], [Reliability], ...... |
858e5d80a0a6b44676f8c87eb13735b72db74107 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/stream.lean | 4638c89b053aad43012ff982bf4970488854b3a6 | [
"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 | 22,532 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import data.nat data.list data.equiv
open nat function option
definition stream (A : Type) := nat → A
namespace stream
variables {A B C : Type}
definition... |
6a060d00ef25183ec24cf842d6dd06844a8e84a8 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/number_theory/bernoulli.lean | c9be0f82df9792e0e88f700329f494d5ec56ca7b | [
"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 | 16,968 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kevin Buzzard
-/
import data.rat
import data.fintype.card
import algebra.big_operators.nat_antidiagonal
import ring_theory.power_series.well_known
/-!
# Bernoulli numb... |
1bf801d853ad44dd33512f175325d15e286b1192 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/714.lean | 51d035b5d0e38b4752e63276c90fc5cc612c10e0 | [
"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 | 53 | lean | def test {α : Type} [LT α] := List α
#check test
|
e6cf2d2f238c81c88d267568a20fd54d26839116 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/sum.lean | 4d55582b13240cd5ddfa5c5cb0366afc8b85f2d0 | [
"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 | 5,064 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury G. Kudryashov
-/
import tactic.lint
/-!
# More theorems about the sum type
-/
universes u v w x
variables {α : Type u} {α' : Type w} {β : Type v} {β' : Type x}
o... |
ed46a12cae7cac919029e6f582266077aa4f9689 | 1dd482be3f611941db7801003235dc84147ec60a | /src/topology/bounded_continuous_function.lean | ee27818811b9a9e5bac6da82522fbd034acfff44 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 23,576 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro
Type of bounded continuous functions taking values in a metric space, with
the uniform distance.
-/
import analysis.normed_space.basic data.real... |
6e1c512ac3010c68a942d0430056c086eb61240d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/list/lemmas.lean | 0c3feaba9a113e5ad094e4b597610a4f85acfd48 | [] | 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 | 9,875 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.list.basic
import Mathlib.Lean3Lib.init.function
impor... |
15e5c71436107092d975d9832aab7b95986fe0d7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/pureCoeIssue.lean | 8d6908c32ed509a7826754708b2b3eaf5472c5da | [
"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 | 240 | lean | def f1 (x : Nat) : IO Unit := do
IO.println x
return ()
def g1 : IO Unit := do
f1 -- Error
pure ()
def f2 (x : Nat) (y : Nat) : IO Unit := do
IO.println s!"{x} {y}"
return ()
def g2 : IO Unit := do
f2 10 -- Error
pure ()
|
773dcfe2cd56136a2390acefaf5d3178e96f83bc | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/finset.lean | 0d8bdc7c7a7a818ccad0967aae75fd6bd0bb73dc | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 59,209 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
Finite sets.
-/
import logic.embedding order.boolean_algebra algebra.order_functions
data.multiset data.sigma.basi... |
261b296e8697f9292e3b1a21bb1459830fb9a617 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/examples/NFM2022/nfm19.lean | 2246d4363250b75d91fc32362ba9a8bd8b279843 | [
"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 | 313 | lean | /- Tactic combinators -/
example : p → q → r → p ∧ ((p ∧ q) ∧ r) ∧ (q ∧ r ∧ p) := by
intros
repeat (any_goals constructor)
all_goals assumption
example : p → q → r → p ∧ ((p ∧ q) ∧ r) ∧ (q ∧ r ∧ p) := by
intros
repeat (any_goals (first | assumption | constructor))
|
87795fde8788f5dd069302f9eb7b15ffc4b78570 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.2.lean | 896c2e2ad9a54a91f0f0ef6f56ffc28b0b06bdea | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 168 | lean | import standard
-- BEGIN
theorem test (p q : Prop) (Hp : p) (Hq : q) : p ∧ q ∧ p :=
begin
apply and.intro,
exact Hp,
apply and.intro,
exact Hq,
exact Hp
end
-- END
|
a056db40abcd2402c4bc467f31a92369ecaa1365 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Elab/Tactic/Induction.lean | fabe1f136e439ebd1cd6e7af4104eda3e06463e0 | [
"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 | 14,275 | 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
-/
prelude
import Init.Lean.Meta.RecursorInfo
import Init.Lean.Meta.Tactic.Induction
import Init.Lean.Meta.Tactic.Cases
import Init.Lean.Ela... |
daa6df28d0165c0c77e93d9c482d1e4730428eb0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/stateRef.lean | 37820021b31f51e3d2a59108a14679cbdd3f1a48 | [
"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 | 1,570 | lean | def f (v : Nat) : StateRefT Nat IO Nat := do
IO.println "hello"
modify fun s => s - v
get
def g : IO Nat :=
f 5 |>.run' 20
#eval (f 5).run' 20
#eval (do set 100; f 5 : StateRefT Nat IO Nat).run' 0
def f2 : ReaderT Nat (StateRefT Nat IO) Nat := do
let v ← read
IO.println $ "context " ++ toString v
modify fun s => s +... |
e5a0d034ce4e2786717cf39eef466a7e21a7398a | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2002/IMO_2002_P2.lean | 4568dc9d724a383fe81dd096c1c66bae51f3900c | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 533 | lean | import Geo.Geo.Core
namespace Geo
open Analytic Arc Circle Triangle
def IMO_2002_P2 : Prop :=
∀ (B C O : Point) (Γ : Circle),
isOrigin O Γ →
isDiameter B C Γ →
∀ (A : Point),
on A Γ →
deg2π 60 < uangle ⟨A, O, C⟩ →
∀ (E F : Point),
on E Γ → -- ryankrue: could have isChord (p₁ p₂ : Point) (Γ : Circle)
on F Γ →
isPerpB... |
6fc1f8f2c97681f6fe08d1b926a005befd37a002 | 32a2d1642d7519c99693bc1d3b24069e4853dd1f | /tactic/interactive.lean | 2f12506a0febdcae8a2279fd134d6f5aa4310e7a | [
"Apache-2.0"
] | permissive | Cedric0099/mathlib | 7edb81d5d68e280b4d21f6c0377dad1f9b8c0d71 | a97101d2df5d186848075a2d0452f6a04d8a13eb | refs/heads/master | 1,584,201,847,599 | 1,524,979,632,000 | 1,524,979,632,000 | 131,690,350 | 0 | 0 | null | 1,525,162,341,000 | 1,525,162,341,000 | null | UTF-8 | Lean | false | false | 17,119 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.dlist tactic.basic tactic.rcases tactic.generalize_proofs meta.expr
open lean
open lean.parser
local postfix `?`:9001 := optional
local postfix *:9001 :... |
f635cc11357767ae1ea860a454ecd2431033fc3d | c777c32c8e484e195053731103c5e52af26a25d1 | /src/probability/process/filtration.lean | 7a3c14f17260bfc878c42f6e6b96b2ee7d61598e | [
"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 | 13,072 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Rémy Degenne
-/
import measure_theory.function.conditional_expectation.real
/-!
# Filtrations
This file defines filtrations of a measurable space and σ-finite filtrations.
... |
710dad1ea560f7d5fc91499632e82ab23f8cb119 | fb3b29254af2d298d934a2ec1bddbb387e5ee67d | /src/misc.lean | 8fc06a7d6bdaa745bf1a39d17c869b02bda4d9ff | [] | no_license | th-char/cayleys_theorem | cdbc48c543184320ae474b27e6d99e4b1c931e69 | c4862adbe1e6a8892fd607217c803f260ee74be2 | refs/heads/master | 1,668,812,911,278 | 1,595,171,637,000 | 1,595,175,437,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,352 | lean | import algebra.group.basic
import data.zmod.basic
import data.equiv.basic
import tactic
import data.set.basic
import .cayleys
variables {G₁ : Type*} {G₂ : Type*} [group G₁] [group G₂]
open equiv function set
def hom_induces_group (f : G₁ →* G₂) : group (range f) :=
{ mul := has_mul.mul,
mul_assoc := mul_assoc,
... |
f10a936908124a416b751e795ccbbd7a44317c19 | 390c7d44c0470f935f1ff06637607521791400da | /test1.lean | 08145739c5cfa5a73f901ad250aac563205a643f | [] | no_license | avigad/auto | 32baee2744dd3ae53f1cffd3f04523b953e5a9eb | 1aa4ebf60f900e8d61bb423105592a4010fa6ec5 | refs/heads/master | 1,594,791,920,875 | 1,475,608,824,000 | 1,475,608,824,000 | 67,415,120 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,008 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Examples to test the tableau provers.
-/
import .auto
open tactic
-- useful for debugging
-- set_option pp.beta false
-- set_option pp.delayed_abstraction true
-... |
71d11b36596170b7208f006d721d49e9791af204 | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/quadratic_form.lean | c6a2d4ad532f2f1bc44f2686c7f0c7ef2a970ab9 | [
"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 | 28,521 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import algebra.invertible
import linear_algebra.bilinear_form
import linear_algebra.determinant
import linear_algebra.special_linear_group
/-!
# Quadratic forms
This file... |
82e4505f043ac227fe170c861a29c892e26b9332 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/typeclass_metas_internal_goals4.lean | 25b7e188cdeb6cf77c3e6a9c6e563f5f18273a64 | [
"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 | 636 | lean |
class Foo (α β γ : Type) := (u:Unit)
class Bar (α β γ : Type) := (u:Unit)
class Top := (u:Unit)
instance FooBarToTop (α β γ : Type) [Foo α β γ] [Bar α β γ] : Top := {u:=()}
instance Foo₁ (β γ : Type) : Foo Unit β γ := {u:=()}
instance Foo₂ (α γ : Type) : Foo α Unit γ := {u:=()}
instance Foo₃ (α β : Type) : Foo α β Un... |
544899b7a343bac2dc0e60404eca60e4b0532147 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/compiler/float_cases_bug.lean | af8e76fbe897376506b56352a4c62c3e4187c6f7 | [
"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 | 959 | lean | inductive Term : Type
| const : Nat -> Term
| app : List Term -> Term
namespace Term
instance : Inhabited Term := ⟨Term.const 0⟩
partial def hasToString : Term -> String | const n => "CONST(" ++ toString n ++ ")" | app ts => "APP"
instance : HasToString Term := ⟨hasToString⟩
end Term
open Term
structure MySta... |
9342b51fe492e211d5b3c50e118fb8fce9f0382e | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/valuation/basic.lean | d327f50e5ac174e7bad67c76e073ffa2b7072320 | [
"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 | 24,963 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import algebra.order.with_zero
import algebra.punit_instances
import ring_theory.ideal.operations
/-!
# The basics of valuation theo... |
7d6b30b56d6600be9c8fd2bc63baf486c6c17e71 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world5/level4.lean | dc4b0c28b8989e58aba613f953bf8af3dba97d56 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 2,040 | lean | /- Tactic : apply
## Summary
If `h : P → Q` is a hypothesis, and the goal is `⊢ Q` then
`apply h` changes the goal to `⊢ P`.
## Details
If you have a function `h : P → Q` and your goal is `⊢ Q`
then `apply h` changes the goal to `⊢ P`. The logic is
simple: if you are trying to create a term of type `Q`,
but `h` is... |
a98ce978e3f6cef1adf15505ba95cab2b689525b | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2020/logic/questions.lean | b8eda0bc3a0f386e0d3b374ec2c169ac17bd99b1 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 14,290 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Kevin Buzzard
-/
import tactic
/-!
# Logic
A Lean companion to the "Logic" part of the intro module.
We develop the basic theory of the five symbols
→, ¬, ∧, ↔, ∨
# Background
It i... |
6e30cd0bf36712ec7f46a1b198f4951e90c6d2f3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/zorn.lean | 6ee69a190426c0f5a42496f3b814fa923b68e8ae | [
"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 | 13,797 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Zorn's lemmas.
Ported from Isabelle/HOL (written by Jacques D. Fleuriot, Tobias Nipkow, and Christian Sternagel).
-/
import data.set.lattice
noncomputable theory
univ... |
b4cac92593a1f31df39e119a80faa4216b594034 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/initial_seg.lean | a6ce2466a5320d65e96873d80578740aea249bab | [
"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 | 16,984 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import order.rel_iso
import order.well_founded
/-!
# Initial and principal segments
This file defines initial and principal segments.
## Main de... |
cb70a44a2704860ecb64591d8d243f462a571f45 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/set_theory/lists.lean | 687e463b153e190603351d6dcc1eacd5481aad57 | [
"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 | 14,886 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
/-!
# A computable model of ZFA without infinity
In this file we define finite hereditary lists. This is useful for calculations in naive set... |
1b778b065cd197e44d38f5b5d8900066c2cc6d3a | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /tests/lean/run/all_goals.lean | 54b9df9be0962cde27f8d7819f4123026a70de00 | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 245 | lean | import data.nat
open nat
attribute nat.add [unfold-c 2]
attribute nat.rec_on [unfold-c 2]
example (a b c : nat) : a + 0 = 0 + a ∧ b + 0 = 0 + b :=
begin
apply and.intro,
all_goals esimp{of_num},
all_goals (state; rewrite zero_add)
end
|
b596d2cfd60e3a3ef0b2f83ae261b1181dd09beb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/int/gcd.lean | e05c44e65c5e46dec1182932b1f79db311c1f354 | [
"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 | 25,801 | lean | /-
Copyright (c) 2018 Guy Leroy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sangwoo Jo (aka Jason), Guy Leroy, Johannes Hölzl, Mario Carneiro
-/
import data.nat.gcd.basic
import tactic.norm_num
/-!
# Extended GCD and divisibility over ℤ
> THIS FILE IS SYNCHRONIZE... |
d7a923d8be70c537ab26004d69302d33bddf2901 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/sym/basic.lean | e2e73ba74c7687bc24990fcc45ba950b2c64a36a | [
"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 | 13,903 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.multiset.basic
import data.vector.basic
import data.setoid.basic
import tactic.apply_fun
/-!
# Symmetric powers
This file defines symmetric powers of a type. ... |
59aa5afe0de69bac8c1c76f6007f0f8d77d16ce7 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/number_theory/bernoulli_polynomials.lean | d93e8eb33cafc00cf21c200dab206d48d5fb1926 | [
"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 | 7,093 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import data.nat.choose.cast
import number_theory.bernoulli
/-!
# Bernoulli polynomials
The Bernoulli polynomials (defined here : https://en.wikipedia.org/wiki/B... |
71e01bf1e4aa001021dcfb1762a93229cdd78338 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/measure_theory/function/ae_eq_of_integral.lean | 78b174d24e70dfaff3f14f6caefb2123f548ee05 | [
"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 | 24,149 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.normed_space.dual
import measure_theory.function.strongly_measurable
import measure_theory.integral.set_integral
/-! # From equality of integrals to equ... |
c6ca91c3c2ba28d54014b19041cdc18430a09111 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Init/Control/Option.lean | 0f0111011e59eca0d2aaefd308ffedecf9432713 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,853 | 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, Sebastian Ullrich
-/
prelude
import Init.Control.Basic
import Init.Control.Except
universes u v
instance {α} : ToBool (Option α) := ⟨Option.toBool⟩
def Opt... |
a47893dbe9e2e46b23ad15ff4ce946ecc08acb7a | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/measure/outer_measure.lean | cc6f7a90e88b881ed63b7f99f7b1d8659c0a5345 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,611 | 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 analysis.specific_limits
import measure_theory.pi_system
import data.matrix.notation
import topology.algebra.infinite_sum
/-!
# Outer Measures... |
08c3f5ce31011af0d858d5b3717d34744f88681f | d4f8579bd5c4a56a88575ff0f1957193d83cf965 | /src/steele.lean | 9293fedc62d6955b0c4be4777361d789d640ba08 | [] | no_license | ldct/lean-textbooks | 5b14efc448c6c0ee6b2a89d1c2243c5e343ea88c | 6550da16cd3f4c31145d3eb759a9326740a7dcd6 | refs/heads/master | 1,668,538,459,925 | 1,594,208,495,000 | 1,594,208,495,000 | 271,553,644 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 661 | lean | -- Graham, Knuth, Patashnik
-- Concrete Mathematics
import tactic
import data.real.basic
import data.num.basic
lemma l1 (x y : ℝ) : 0 ≤ x^2-2*x*y + y^2 :=
begin
have h1 : 0 ≤ (x - y)^2,
exact pow_two_nonneg (x - y),
ring SOP at h1,
ring at h1,
ring,
exact h1,
end
example (a b : ℝ) : a ≤ b → 0 ≤ b - a :=
... |
3f2fe55c1c26fdd1d42d4be0ac50cbafa799c5d3 | d744d97b07fc1e61b0ebea192b2d624125898128 | /test/tree_test.lean | 9edba72df8373532645a508589c1af1095c3ab33 | [
"MIT"
] | permissive | parkersullivan/leanstuff | 019c757848dd8f5db185e6973969141aee6fef7c | 3da132c44d365ecd933de64fa04ba66b9e620683 | refs/heads/master | 1,599,036,040,845 | 1,573,316,625,000 | 1,573,316,625,000 | 219,181,711 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 967 | lean | import ..src.tree
open my_tree
/-defining some tree instances-/
def t0 : (tree ℕ ) := @tree.empty ℕ
def t1 : (tree ℕ) := tree.node 5 t0 t0
def t2 : (tree nat) := tree.node 2 t1 t0
def t3 : (tree nat) := tree.node 7 t0 t1
def t4 : (tree nat) := tree.node 12 t2 t1
/-testing out the sum_node function-/
#eval sum_node ... |
1498c927d13268a36a6e05fdc36b317969838e57 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/types/equiv.hlean | 2fce2cfa211f343ef07e05da3c1b008ae0051fcc | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,364 | 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
Ported from Coq HoTT
Theorems about the types equiv and is_equiv
-/
import .fiber .arrow arity ..prop_trunc
open eq is_trunc sigma sigma.ops pi fiber function equi... |
a10733ac6d86a6f09febc3d782e4880086203788 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/nested_rec.lean | f0b14664735c988675ec31db4557f83f9ec72945 | [
"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 | 1,317 | lean | open nat prod sigma
-- We will define the following example by well-foudned recursion
-- g 0 := 0
-- g (succ x) := g (g x)
definition g.F (x : nat) : (Π y, y < x → Σ r : nat, r ≤ y) → Σ r : nat, r ≤ x :=
nat.cases_on x
(λ f, ⟨zero, le.refl zero⟩)
(λ x₁ (f : Π y, y < succ x₁ → Σ r : nat, r ≤ y),
let... |
3963f09a0ae8ad1edccd9ece76d26912704c5e7f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/preserves/shapes/kernels.lean | a174f04aa2e1cb08718072aa263c23e72153a3e8 | [
"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 | 8,639 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.shapes.kernels
import category_theory.limits.preserves.shapes.zero
/-!
# Preserving (co)kernels
Constructions to relate the notions of... |
bef3ad48efed3bd89166f12b0d31be8bddd9e810 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/data/array.lean | 5713f57100a856cc754f3399f0a2373725fd41da | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,903 | lean |
import data.list
import data.list.basic
import data.array.lemmas
import util.data.fin
import util.data.list
import util.data.order
import util.meta.tactic
universe variables u₀ u₁ u₂
variables {α : Type u₀} {β β' : Type u₁} {γ : Type u₂}
open nat
namespace array
def push_aux {n : ℕ} (x : α) (ar : fin n → α) : fin ... |
c9dad7f0d216d4596c15860dd4fc71dcce47804f | f23fc72f73d16cfbf5f27a7250cb58a06dc1c518 | /complex.lean | 5096cab8929522cf47f27a2bfdfb936a950ae3e9 | [
"BSD-3-Clause"
] | permissive | emc2/leanstuff | 2e7a9bc05b082c5fefd39c66420ca35b1d50e6ae | 609efb86cec168eae73a799f8dff7993eec0ee45 | refs/heads/master | 1,473,171,453,604 | 1,439,952,548,000 | 1,439,952,548,000 | 40,196,136 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,519 | lean | import algebra.group
import algebra.ring
import algebra.field
import data.prod
namespace algebra
open prod ring
definition complex_ty (A : Type) : Type := A × A
structure complex [class] (A : Type) :=
(ℂ : Type)
(real : A -> ℂ)
(i : ℂ)
(complex_conj : ℂ → ℂ)
(abs : ℂ -> A)
namespace complex_ty
definitio... |
9a1d8088dc2bc3d3662d306807851965633a7b11 | 367134ba5a65885e863bdc4507601606690974c1 | /src/logic/embedding.lean | 250670b5e79f1869a98c70862f6625d715af6598 | [
"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 | 9,790 | 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 data.equiv.basic
import data.sigma.basic
import algebra.group.defs
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `α... |
d28b29d37401699160099e2bf849837b5dc92081 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/uniform_space/basic.lean | 7b2371c620211b9ea492ade82e2f5f21ee4fb23f | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 69,125 | 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, Patrick Massot
-/
import order.filter.lift
import topology.separation
/-!
# Uniform spaces
Uniform spaces are a generalization of metric spaces and top... |
b442c3cd2d8850a3ea610f84a6dd3fc586ca12c6 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/real/hyperreal.lean | 160d4155dbda5b268fdf5a813eaa0fe78a2e0504 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,164 | 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
-/
import order.filter.filter_product
import analysis.specific_limits
/-!
# Construction of the hyperreal numbers as an ultraproduct of real sequenc... |
15bebcf7db5aa096879a09006a98d962e7f5ffea | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/rel_iso.lean | 379cb9c255601346c8a1f443089723a78a15e670 | [
"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 | 22,059 | 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 algebra.group.defs
import data.equiv.set
import data.fun_like.basic
import logic.embedding
import order.rel_classes
/-!
# Relation homomorphisms, embeddings, ... |
07bce7148b363f00ce468d10cd7a661cf270a4bf | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/quiver/connected_component.lean | 7fe9512473a69b637edc82f70c0539a93edae832 | [
"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 | 6,167 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import combinatorics.quiver.subquiver
import combinatorics.quiver.path
import data.sum.basic
/-!
## Weakly connected components
For a quiver `V`, we build a quiver `symmetr... |
557d472e8df64dd325256d2e804f5246264554cb | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/axioms/examples/diaconescu.lean | fea750013d5505f8f7a6e671721b10723e8fc9f1 | [
"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 | 1,734 | 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
import logic.axioms.hilbert logic.axioms.funext
open eq.ops nonempty inhabited
-- Diaconescu’s theorem
-- Show that Excluded middle follows from
-- Hi... |
e7ee78628be8a37ada4551091de6f1c6c3258c6d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Compiler/IR/NormIds.lean | e9eafe8f3be6ca43def31011d7b8d7597a89d615 | [
"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 | 7,562 | 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.Basic
namespace Lean.IR.UniqueIds
abbrev M := StateT IndexSet Id
def checkId (id : Index) : M Bool :=
modifyGet fun s =>
if... |
4cc9e746df6a6e01aeffa05553f6c5119494c372 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/push_neg.lean | 0295a10fe4f9e9e0378235feab1d042925cf41f0 | [
"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 | 7,965 | lean | /-
Copyright (c) 2019 Patrick Massot All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Simon Hudon
A tactic pushing negations into an expression
-/
import logic.basic
open tactic expr
namespace push_neg
section
universe u
variable {α : Sort u}
variab... |
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