blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
302dc082b81c57cad788fddb2efc8698092fe3bb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/convex/extrema.lean | 8f2b298b1ffbcccecd9606a21153e120a66b40a8 | [
"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 | 5,492 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.convex.function
import topology.algebra.affine
import topology.local_extr
import topology.instances.real
/-!
# Minima and maxima of convex function... |
b53dbfa2287e19c7483df41ba4bce243bb0a6e5b | abd85493667895c57a7507870867b28124b3998f | /src/data/support.lean | d04abbb47af9b51f9b6d6f2fb4ccbaa796e74125 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 4,756 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.conditionally_complete_lattice
import algebra.big_operators
/-!
# Support of a function
In this file we define `function.support f = {x | f x ≠ 0}` a... |
cfad6948838841225b7d0e86f263e3a26e655831 | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /scratch/refactor_iterate.lean | 8950cefe1a52acfe10e1cf1b1c28957a2c13406a | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 83,876 | lean | import data.matrix.pequiv data.rat.basic tactic.fin_cases data.list.min_max partition
import order.lexicographic
open matrix fintype finset function pequiv
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix... |
8b9e395f8ad2bce97e6d4911db93f484757d0cc1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/sesquilinear_form.lean | 2c505cca3a0492f4dd739f126b038e88059f8a82 | [
"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 | 27,299 | 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 algebra.module.linear_map
import linear_algebra.bilinear_map
import linear_algebra.matrix.basis
import linear_algebra.linear_pmap
/-!
# Sesquilinear form
... |
29a3ecfc957449b9c97d5b502e269d4a1fa8d31a | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/logic/function/basic.lean | 11de65eabc655a66be9f16c39fb6a15d595d8c7f | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 27,343 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import logic.basic
import data.option.defs
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespace function
section
var... |
f01d1e87b35e15c21aa030bb02f2372be65e91ae | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/no_meta_rec_inst.lean | 83a57b73e0441e2ddce9e647ff5f1cefed9c4fc8 | [
"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 | 211 | lean | class has_false (α : Type) :=
(f : false)
meta def n_has_false : has_false ℕ :=
by apply_instance -- Error, the "recursive" instance (n_has_false : has_false ℕ) should not be used in type class resolution
|
51271e5dc71a69fe21969bb447e7f456f58c5307 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/logic/relation.lean | 84d1272480ef994c81e2c451aa8b42c10d5997b5 | [
"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 | 16,079 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Transitive reflexive as well as reflexive closure of relations.
-/
import tactic.basic
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
section ne_imp
varia... |
9a1fa0bc12d49b5dcf902a02d7bdb320db079e74 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Elab/Frontend.lean | a3ecc3639303dea3e83f2ff117a871a93211d5ca | [
"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 | 4,668 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Elab.Import
import Init.Lean.Elab.Command
namespace Lean
namespace Elab
namespace Frontend
structure Context :... |
edb1ac5e469a7dda49b9ad3027c33f25fd6d3270 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/type_library/nat_test.lean | f632f7f472acdb19e88aff002b8842329139f523 | [] | 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 | 5,917 | lean | import .nat
namespace hidden
/-
Finally, nat: a properly inductive
type, where larger values of this
type are constructed using smaller
values *of the same type*.
-/
def n0 := nat.zero
def n1 :=
nat.succ
_
def n2 :=
nat.succ
_
variable n : nat -- assume (n : nat)
#check nat.succ n -- succ ... |
560bb9abd186edcd661cfb40b8e89cfe30ab7ad4 | dc253be9829b840f15d96d986e0c13520b085033 | /property.hlean | 3477e2c607c32d2af624cd71cb02787dcc6a725e | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 11,528 | hlean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import types.trunc .logic .move_to_lib
open funext eq trunc is_trunc logic
definition property (X : Type) := X → Prop
namespace property
variable {X : Type}
/- memb... |
a3babb86283e67293d08c6d0284bc775717bbaa4 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/option/defs.lean | aa9c57fbc61527dd7e7ee8d917ed8695883e6f32 | [
"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 | 5,793 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Extra definitions on option.
-/
namespace option
variables {α : Type*} {β : Type*}
attribute [inline] option.is_some option.is_none
/-- An elimination principle for ... |
094afcb6fdc4ff15aaa51b142c4a1cf91b152235 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/equiv/list.lean | 523c5832cb68dc6cdeca75432488d1ee37baf46b | [
"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 | 13,615 | 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.finset.sort
import logic.denumerable
/-!
# Equivalences involving `list`-like types
This file defines some additional constructive equivalences using `e... |
12d87886506465969212aa2f29f8068bb2ecbf58 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Leanpkg/Manifest.lean | 03912ee606a667bef8484ff74ccea44ecbc785e4 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,769 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
-/
import Leanpkg.Toml
import Leanpkg.LeanVersion
namespace Leanpkg
inductive Source where
| path (dirName : String) : Source
| git (url r... |
9a9d5973047f061cf9b5897a7302fb148c6f5c7b | f5373ccdc976e6390397d9f4220a74c76f706f4a | /src/lean_gym/server.lean | 975034ca5f673f0c26d9151543415c69cae7214b | [] | no_license | jasonrute/lean_gym_prototype | fcd91fdc454f9e351bbe258c765f50276407547e | ab29624d14e4e069e15afe0b1d90248b5b394b86 | refs/heads/master | 1,682,628,526,780 | 1,590,539,315,000 | 1,590,539,315,000 | 264,938,525 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,331 | lean | import lean_gym.interface_m
import tools.serialization -- TODO: Serialize Lean's standard raw expression format
import system.io
-- read eval print loop
namespace lean_gym
meta def deserialize_expr (sexpr : string) : interface_m expr :=
match (expr.deserialize sexpr) with
| (sum.inl error_msg) := throw (interface_ex.... |
e310709fa2404fa1220bd20e2f644d2fd7da2373 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/smt/arith.lean | 2f67fc9b96eae245287a3d5bf9a91e822eec3525 | [
"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 | 620 | lean | constants (real : Type)
constants (real.has_zero : has_zero real)
constants (real.has_one : has_one real)
constants (real.has_add : has_add real)
constants (real.has_mul : has_mul real)
constants (real.has_sub : has_sub real)
constants (real.has_neg : has_neg real)
constants (real.has_div : has_div real)
constants (re... |
e96841df3535b257b1e9ecfedb4d5de665b473aa | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/group_theory/sylow.lean | 447d9c0804a9c6db37e886a96cb135e96a998a27 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,269 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.group_action
import group_theory.quotient_group
import group_theory.order_of_element
import data.zmod.basic
import data.fintype.card
import data.list.... |
0e8ec48d83b288c05855f3a0b79e465760d61cde | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Std/Data/AssocList.lean | fe8271645b5845b5e52cbede4a0a171acf2202ad | [
"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 | 2,372 | 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
-/
namespace Std
universes u v w
/- List-like type to avoid extra level of indirection -/
inductive AssocList (α : Type u) (β : Type v)
| nil : AssocList
| con... |
191c1151ec348fce2e7d24c2f646ecc957a23a83 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/pi.lean | 17521b57d695ff2477be7886e3b89220f461bf54 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 18,051 | 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, Kevin Buzzard, Yury Kudryashov, Eric Wieser
-/
import linear_algebra.basic
import logic.equiv.fin
/-!
# Pi types of modules
This file defines construc... |
e4b9635ff3c939daec6674b3ae12b4422bc11c20 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/lean/parser.lean | 47e25699cb788fb47fa0a06689ae8b6408c9d559 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,210 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.data.option.basic init.category.monad init.category.alternative
import init.meta.pexpr init.meta.interaction_monad
namespace lean
-- T... |
477d3f1ad220e20f2e9d80a73cef6646d9c10f3a | 56af0912bd25910f5caae91d6dd0603b0c032989 | /src/complex/kb_solutions/Level_02_I.lean | b60157c5eae0e0d077f3ba399ba6d8cc1bb57435 | [
"Apache-2.0"
] | permissive | isabella232/complex-number-game | ae36e0b1df9761d9df07049ca29c91ae44dbdc2d | 3d767f14041f9002e435bed3a3527fdd297c166d | refs/heads/master | 1,679,305,953,116 | 1,606,397,567,000 | 1,606,397,567,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,634 | lean | /-
Copyright (c) 2020 The Xena project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kevin Buzzard
Thanks: Imperial College London, leanprover-community
-/
-- import level 1
import complex.kb_solutions.Level_01_of_real
/-!
# Level 2: I
I find it unbelievable tha... |
7a416d5b5005fcfa03c6d57b02f9d5197548485d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/29.lean | a95ebdf91a3faf9a99b97a3699decbcdf36c27a7 | [
"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 | 105 | lean |
def foo : Nat -> Nat -> Nat -> List Nat
| _, _, 0 => [1]
| 0, _, _ => [2]
| n, d, k+1 => foo n d k
|
2fd00c732373284d2f7e4e29ae041756b7811f99 | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world4/level1.lean | bcbc1353cf930d8c3e02331985bdc6d4aeea0dad | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,649 | lean | import category_theory.category.default
import category_theory.functor
import category_theory.isomorphism
universes v₁ v₂ u₁ u₂ -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u₁) [category.{v₁} C]
variabl... |
6b4ff92e1f41e63c06bf5167ebe1d68901d90dd0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/inj_surj.lean | 64bb225bdc0c3cf80c757753c28af4bfc07adbef | [] | 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 | 12,133 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.defs
import Mathlib.logic.function.basic
import Mathlib.PostPort
universes u... |
21d80be300ff5bf07d10149ea8a59d809e958ed8 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/logic/axioms/funext.lean | 54d5687bc3031caecf14daf664503565ac3a0f76 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,127 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.axioms.funext
Author: Leonardo de Moura
Function extensionality.
-/
import logic.cast algebra.function data.sigma
open function eq.ops
axiom funext : ∀ {A : Type} {B : A... |
888c9b8b06ef2dc53038b30eaaf26a84f690c3ce | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebraic_geometry/sheafed_space.lean | 4ea40462ab027cc6d891967c01d578524d770394 | [
"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 | 4,921 | 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 algebraic_geometry.presheafed_space
import topology.sheaves.sheaf
/-!
# Sheafed spaces
Introduces the category of topological spaces equipped with a sheaf (t... |
1955e9cbae3377e1a587520f58e7a3f399281411 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/perm/sign_auto.lean | 502875881869adeae226d65bafb910941894d798 | [] | 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 | 20,273 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.basic
import Mathlib.data.finset.sort
import Mathlib.group_theory.perm.basic
impor... |
c00843a4c894d2fd751dbf8efda1ea28c5f875da | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/valuation/valuation_subring.lean | faf017aa2555c486e248b0358be7e6a08286b1cf | [
"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 | 30,075 | lean | /-
Copyright (c) 2022 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Junyan Xu, Jack McKoen
-/
import ring_theory.valuation.valuation_ring
import ring_theory.localization.as_subring
import ring_theory.subring.pointwise
import algebraic_geometry.... |
3e6b223c7a74c29566ce0c2636c5c103941873a8 | ac89c256db07448984849346288e0eeffe8b20d0 | /tests/lean/343.lean | b90367f30e27a3bf2e490eade51ae7c9a50cf33f | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 620 | lean | structure CatIsh where
Obj : Type o
Hom : Obj → Obj → Type m
infixr:75 " ~> " => (CatIsh.Hom _)
structure FunctorIsh (C D : CatIsh) where
onObj : C.Obj → D.Obj
onHom : ∀ {s d : C.Obj}, (s ~> d) → (onObj s ~> onObj d)
abbrev Catish : CatIsh :=
{
Obj := CatIsh
Hom := FunctorIsh
}
universe m o
unif... |
224f8130c4589f628c76b03df585dd97e42155a9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/module/submodule/lattice.lean | b8a8638df8e2e56f084287ec264abb68643d1638 | [
"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 | 11,636 | 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, Kevin Buzzard, Yury Kudryashov
-/
import algebra.module.submodule.basic
import algebra.punit_instances
/-!
# The lattice structure on `submodule`s
Thi... |
a6db698d23726f075cb27a0093ff278d3608d24f | e750538628490a3f5600df1edf4885819c33a4f3 | /Chain-BIRDS/Researcher/D23_update.sql.lean | a1b22683b4fb030b676bce73f39e418d4dba62d6 | [
"Apache-2.0"
] | permissive | cmli93/Chain-Dejima | 0c054cc8d2d28ebcd6b2f84f8b7ba45e0d88b5cf | 008d2748f0602b7d65bba8a9a86530e0899496ec | refs/heads/master | 1,634,811,960,801 | 1,551,677,784,000 | 1,551,677,784,000 | 173,666,288 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,210 | lean | import logic.basic
import tactic.basic
import tactic.finish
import tactic.interactive
import bx
import super
import smt2
universe u
open int
open auto
local attribute [instance] classical.prop_decidable -- make all prop decidable
theorem disjoint_deltas {d23_researanddoc: string → string → Prop} {d2_researcher: strin... |
843cd5b1ef682efef943b8fbb1ddb29638f68264 | 7b66d83f3b69dae0a3dfb684d7ebe5e9e3f3c913 | /src/solutions/thursday/afternoon/category_theory/exercise1.lean | db2b7f0875ba6537cf31aa92b9ba10c53d256dfc | [] | permissive | dpochekutov/lftcm2020 | 58a09e10f0e638075b97884d3c2612eb90296adb | cdfbf1ac089f21058e523db73f2476c9c98ed16a | refs/heads/master | 1,669,226,265,076 | 1,594,629,725,000 | 1,594,629,725,000 | 279,213,346 | 1 | 0 | MIT | 1,594,622,757,000 | 1,594,615,843,000 | null | UTF-8 | Lean | false | false | 2,149 | lean | import algebra.category.CommRing
import category_theory.yoneda
open category_theory
open opposite
open polynomial
noncomputable theory
/-!
# Exercise 1
We show that the forgetful functor `CommRing ⥤ Type` is (co?)representable.
There are a sequence of hints available in
`hints/thursday/afternoon/category_theory/hi... |
9221a175b91633a74af065b2580ffc398cf3f4f6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /archive/sensitivity.lean | 5b96d7ddbffa0b326a310e8cb965487145cce625 | [
"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 | 15,684 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis,
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, Patrick Massot
-/
import tactic.fin_cases... |
569c27c15d223bd6cae250ac710d19d14d7506cc | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/tactic/slim_check.lean | 7add92ac9dfc5bf024c73f66122fd2a2c609ce2a | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 8,168 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import testing.slim_check.testable
import testing.slim_check.functions
import data.list.sort
/-!
## Finding counterexamples automatically using `slim_check`
A proposition... |
7b6846297ac4f62da944d9dc91467fb75c6addc3 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/topology/separation.lean | bc1feb6ee8a3d9ed7067fccb6288dc6bfb698ec0 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35,165 | 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
Separation properties of topological spaces.
-/
import topology.subset_properties
open set filter
open_locale topological_space filter
local attribute ... |
22ea6a4150e196057c73ad4bde8c43f9654f3b36 | abd677583c7e4d55daf9487b82da11b7c5498d8d | /src/lia.lean | 529a949c4c29fdb31c26a4eb8b2009dcf0467008 | [
"Apache-2.0"
] | permissive | jesse-michael-han/embed | e9c346918ad58e03933bdaa057a571c0cc4a7641 | c2fc188328e871e18e0dcb8258c6d0462c70a8c9 | refs/heads/master | 1,584,677,705,005 | 1,528,451,877,000 | 1,528,451,877,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 755 | lean | import .fol
namespace lia
variable {α : Type}
class is_symb (α : Type) extends prop.is_symb α :=
(eq : α) (lt : α) (gt : α) (pls : α) (mns : α)
def lt [is_symb α] (t s : exp α) := exp.app (exp.app (exp.cst (is_symb.lt α)) t) s
notation t `<'` s := eq t s
def eq [is_symb α] (t s : exp α) := exp.app (exp.app (exp.... |
5a8e6fe6ca2d4cb0ffa9775d6d7a8ea05eafa94b | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/t6.lean | 7460f313079ad9610c48cec99852b2c664ef6e3e | [
"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 | 334 | lean | definition Prop : Type.{1} := Type.{0}
section
variable {A : Type} -- Mark A as implicit parameter
variable R : A → A → Prop
definition id (a : A) : A := a
definition refl : Prop := forall (a : A), R a a
definition symm : Prop := forall (a b : A), R a b -> R b a
end
check id.{2}
check refl.{1}
check... |
8665d36177d361c89ff0b7b1ca206d8239bf09c6 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/finset/basic.lean | 01844f841df6339671197a5ccca59f13b5430a98 | [
"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 | 90,438 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.monotonicity
import tactic.apply
/-!
# Finite sets
mathlib has se... |
2ef17c8c3c6b38efcf0561b2b4774bac6a76c16e | 74d9d5f45c6ce5c4f2faf215c04a68eab55fe525 | /src/differentiability/derivative.lean | b2dd3cc231f327507cc470af7cf0a807d3c5dc7a | [] | no_license | joshpoll/differential_geometry | 290bb8a934ca3b3b6b707d810e6d4b941710b710 | 57e00a7e37b7c4c73c847429171ff63d3a48def5 | refs/heads/master | 1,584,551,626,391 | 1,527,747,643,000 | 1,527,747,643,000 | 135,014,993 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,919 | lean | -- http://www.docentes.unal.edu.co/eacostag/docs/FreCarat_Acosta.pdf
-- Eventually (maybe): http://mathlab.math.scu.edu.tw/mp/pdf/S22N14.pdf
-- TODO: try to formalize using arbitrary normed vector spaces.
-- If that is too much work, fall back to ℝ → ℝ and build up
import order.filter analysis.topology.continuity anal... |
92f4e83bcbf3bee3386c85123a7677180dac35b1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/probability_theory/independence.lean | 4e50232b801b482233477f1e348c837a1531d7be | [
"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 | 15,494 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne
-/
import measure_theory.measure_space
import algebra.big_operators.intervals
import data.finset.intervals
/-!
# Independence of sets of sets and measure spaces (σ-algebras)... |
260f36a9761843b901e45bad407882b482709831 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Expr.lean | aa4c1a4e0242cdb07a969bc7f1c15a3891860781 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,152 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.KVMap
import Lean.Level
namespace Lean
inductive Literal where
| natVal (val : Nat)
| strVal (val : String)
deriving Inhabited, BEq... |
f4aa10ace2e3f5c9cafca638cde069d940121b33 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/using_bug2.lean | d74e84f60f06871de785061099d86fb6975c969c | [
"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 | 399 | lean | variable {A : Type}
variable {f : A → A → A}
variable {finv : A → A}
premise (h : ∀ x y : A, finv (f x y) = y)
include h
theorem foo₁ : ∀ x y z : A, f x y = f x z → y = z :=
λ x y z, assume e, sorry
theorem foo₂ : ∀ x y z : A, f x y = f x z → y = z :=
λ x y z, assume e,
assert s₁ : finv (f x y) = finv (f x z), by re... |
86710dc4bda1264894ae447bef6e49cf48f9f498 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/e4.lean | 2d3dba7f9ea4cfac9b49e52df84d773088789ec8 | [
"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 | 665 | lean | prelude
definition Prop := Type.{0}
definition false : Prop := ∀x : Prop, x
check false
theorem false.elim (C : Prop) (H : false) : C
:= H C
definition Eq {A : Type} (a b : A)
:= ∀ P : A → Prop, P a → P b
check Eq
infix `=`:50 := Eq
theorem refl {A : Type} (a : A) : a = a
:= λ P H, H
definition true : Prop
:= fa... |
0ac6a324df53c582588487347fc89ac115c32a38 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/int/modeq.lean | 2bd130a2b4f9b05289864fb40414a517a22198cb | [
"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 | 6,079 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.nat.modeq
import tactic
namespace int
def modeq (n a b : ℤ) := a % n = b % n
notation a ` ≡ `:50 b ` [ZMOD `:50 n `]`:0 := modeq n a b
namespace modeq
var... |
64877b9b57fbfefb42a24f071d682c50b4b47c98 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/abelian/pseudoelements.lean | f0c1701b3fc9fdf7e261cb3f36d1714138d455f5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 20,141 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.abelian.exact
import category_theory.over
import algebra.category.Module.epi_mono
/-!
# Pseudoelements in abelian categories
A *pseudoelement* ... |
b9a0ebe0294c99570d8f399666d782ac503bf165 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /examples/lean/opaque_pairs.lean | 485a82991da0d30794b11abf028ae34a53b494c1 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,335 | lean | import macros tactic
variable Sigma {A : (Type 1)} (B : A → (Type 1)) : (Type 1)
variable Pair {A : (Type 1)} {B : A → (Type 1)} (a : A) (b : B a) : Sigma B
variable Fst {A : (Type 1)} {B : A → (Type 1)} (p : Sigma B) : A
variable Snd {A : (Type 1)} {B : A → (Type 1)} (p : Sigma B) : B (Fst p)
axiom FstAx {A : (Type 1)... |
340263ea1c54daf5804ae5ab7577498c0c09a97c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monad/limits.lean | fe9acefab8e64bb954c402befd2449aaa1897fad | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 15,219 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.monad.adjunction
import category_theory.adjunction.limits
import category_theory.limits.preserves.shapes.terminal
/-!
# Limits a... |
0b8613cd59d8afe85882792a491d22ae630ac80c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/whileRepeat.lean | fa13a1e97d268b39dbcb00b6dd2f2ea5ee287d42 | [
"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 | 310 | lean | def test2 : IO Unit := do
let mut i := 0
repeat
println! "{i}"
i := i + 1
until i >= 10
println! "test2 done {i}"
#eval test2
def test3 : IO Unit := do
let mut i := 0
repeat
println! "{i}"
if i > 10 && i % 3 == 0 then break
i := i + 1
println! "test3 done {i}"
#eval test3
|
bb91029333b6361d1dbf2d057c8a085ac755ca1f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/filter/curry.lean | d0ad3eee57f574d46bd5a9d59477dc3854067e90 | [
"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 | 3,668 | lean | /-
Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin H. Wilson
-/
import order.filter.prod
/-!
# Curried Filters
This file provides an operation (`filter.curry`) on filters which provides the equivalence
`∀ᶠ a in l, ∀ᶠ b in l', ... |
096a76899e2625231d2dd0b35919b92c9faba0e3 | a7dd8b83f933e72c40845fd168dde330f050b1c9 | /src/analysis/normed_space/deriv.lean | a2e9190bcc92acfee09433dfb94cb8a97c892ca9 | [
"Apache-2.0"
] | permissive | NeilStrickland/mathlib | 10420e92ee5cb7aba1163c9a01dea2f04652ed67 | 3efbd6f6dff0fb9b0946849b43b39948560a1ffe | refs/heads/master | 1,589,043,046,346 | 1,558,938,706,000 | 1,558,938,706,000 | 181,285,984 | 0 | 0 | Apache-2.0 | 1,568,941,848,000 | 1,555,233,833,000 | Lean | UTF-8 | Lean | false | false | 50,490 | 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
The Fréchet derivative.
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[k] F` a
bounded k-linear map, where `k` is a non-discrete normed... |
3ef90b653d0c73611ed72b398c633c21987c765f | 704c0b4221e71a413a9270e3160af0813f426c91 | /src/partition.lean | ea8bdd2bcc51c46adc9a54fe3dae3898ea9d65b1 | [] | no_license | CohenCyril/LP | d39b766199d2176b592ff223f9c00cdcb4d5f76d | 4dca829aa0fe94c0627410b88d9dad54e6ed2c63 | refs/heads/master | 1,596,132,000,357 | 1,568,817,913,000 | 1,568,817,913,000 | 210,310,499 | 0 | 0 | null | 1,569,229,479,000 | 1,569,229,479,000 | null | UTF-8 | Lean | false | false | 18,644 | lean | import data.matrix.pequiv data.rat.basic data.vector2
variables {m n : ℕ}
/-- The type of ordered partitions of `m + n` elements into vectors of
`m` row variables and `n` column variables -/
structure partition (m n : ℕ) : Type :=
(row_indices : vector (fin (m + n)) m)
(col_indices : vector (fin (m + n)) n)
(mem_r... |
0b28a187752135dbe0e45e55a8956b5759e76ba3 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/analysis/calculus/fderiv.lean | 9e92ff11bb4caf8e8b5fbbff25983aaa4d5e6c02 | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 115,057 | 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... |
8e5d7b6bd15eece45c856774aad52f7e3912a1c9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/param.lean | 6c8ab07a2551d80a2b8d2bbff339017c24474699 | [
"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 | 514 | lean | import data.num
open num
definition foo1 a b c := a + b + (c:num)
definition foo2 (a : num) b c := a + b + c
definition foo3 a b (c : num) := a + b + c
definition foo4 (a b c : num) := a + b + c
definition foo5 (a b c) : num := a + b + c
definition foo6 {a b c} : num := a + b + c
definition foo7 a b c : num := a... |
a0ee01519f8f1e1b45cd9b00054d9a863f05fe61 | 85d23ae5fcdcd77981feb67549852ff901e8a583 | /kan.lean | 2c06fd81d16e16d3661ed6b4465d196a0e278a0f | [] | no_license | javra/cubes | 5b480abcf1a869335a82b4fb5357ec4d16ab56bc | 734bdf71b9086b0ba9ef7dba3ede0c71f10872cc | refs/heads/master | 1,611,513,591,851 | 1,489,495,303,000 | 1,489,495,303,000 | 84,469,571 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 439 | lean | /- THE UNIFORM KAN CONDITION ON CUBICAL SETS -/
import .cset
structure open_box (X : fcset) (m : ℕ) (a : bool) (S : set (fi $ m + 1)) :=
(bottom : X^.obj (m + 1))
(side : Π (i ∈ S) (b : bool), X^.obj (m + 1))
(adj_bottom : Π (i ∈ S) (b : bool),
X^.zproj a (side i H b) = X^.proj i b bottom)
(adj_side : Π {... |
49e7018538e719a26c883d9c72c6ec1aede5bf17 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/filter/basic.lean | cadc4fdd3748ce3a0e3f3be8cc554ade5d31c060 | [
"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 | 117,464 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import data.set.finite
import order.copy
import order.zorn
import tactic.monotonicity
/-!
# Theory of filters on sets
## Main definitions
* `filter`... |
26ca4b8f839c042eacfac65198765f81d23d6bd4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/group_power.lean | df414e432011d74c69e4eb75c2f39387b4954c34 | [
"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 | 8,374 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We have "pow a n" for ... |
73ce5f7d922c9052a6554c4c0721030aa070a571 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/axioms/hilbert.lean | 7cd5debd4b279a5f6b4a459fa5dbce95501d5298 | [
"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 | 2,628 | 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, Jeremy Avigad
-- logic.axioms.hilbert
-- ====================
-- Follows Coq.Logic.ClassicalEpsilon (but our definition of "inhabited" is the
-- const... |
d27a17b11757e1158f382abfb0d8bc65f9be4eb8 | a338c3e75cecad4fb8d091bfe505f7399febfd2b | /src/analysis/normed_space/basic.lean | 2a2c1ef151d2fa325313239742f9f219268c4c2a | [
"Apache-2.0"
] | permissive | bacaimano/mathlib | 88eb7911a9054874fba2a2b74ccd0627c90188af | f2edc5a3529d95699b43514d6feb7eb11608723f | refs/heads/master | 1,686,410,075,833 | 1,625,497,070,000 | 1,625,497,070,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 83,473 | 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 algebra.punit_instances
import topology.instances.nnreal
import topology.algebra.module
import topology.algebra.algebra
import topology.algebra... |
14084bffa8a6244b904ddb458fee5da8c2fdd072 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/coe6.lean | 8f159ea898a459377286ec887b44f62021f5651a | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 321 | lean | universe variables u
structure Group :=
(carrier : Type u) (mul : carrier → carrier → carrier) (one : carrier)
attribute [instance]
definition Group_to_Type : has_coe_to_sort Group :=
{ S := Type u, coe := λ g, g~>carrier }
constant g : Group.{1}
set_option pp.binder_types true
check λ a b : g, Group.mul g a b
|
c41ebcb6ff30efd8f4f73698418c5c70a16d3aec | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/legendre_symbol/basic.lean | 4427fe06ad80030b5a74534ce929bf11cf5b85b2 | [
"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 | 10,753 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Michael Stoll
-/
import number_theory.legendre_symbol.quadratic_char.basic
/-!
# Legendre symbol
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file req... |
e0d110fc0515dab766e386d8ef16b2c957821e5a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/computability/tm_computable.lean | 30ddb2affce76f3b8c3b6ac90f654749620db5de | [
"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 | 11,343 | lean | /-
Copyright (c) 2020 Pim Spelier, Daan van Gent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pim Spelier, Daan van Gent
-/
import computability.encoding
import computability.turing_machine
import data.polynomial.basic
import data.polynomial.eval
/-!
# Computable ... |
373a963ff353e0ee105ca72c7ca743697852b428 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/measure_theory/category/Meas.lean | 0e8bf24ea91fd538dcdd2524bbb438f1cc92ad32 | [
"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 | 4,112 | lean | /- Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.category.Top.basic
import measure_theory.giry_monad
import category_theory.monad.algebra
/-
* Meas, the category of measurable spaces
Measurable spa... |
5a37b2c336e9c084b26b342a85b016123ec13332 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/unsigned/ops.lean | f3b2239058357d761e18a2b3ee1ef69b70419b97 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,028 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.unsigned.basic
import Mathlib.Lean3Lib.init.data.fin.ops
namespace Mathlib
namespace unsigned
... |
c042b4f38d7f186f3199b951a5d7aa916c3c7dac | 4767244035cdd124e1ce3d0c81128f8929df6163 | /ring_theory/subring.lean | a3341ab0c0b21f0867bf3aef1d99ae73b73a4c83 | [
"Apache-2.0"
] | permissive | 5HT/mathlib | b941fecacd31a9c5dd0abad58770084b8a1e56b1 | 40fa9ade2f5649569639608db5e621e5fad0cc02 | refs/heads/master | 1,586,978,681,358 | 1,546,681,764,000 | 1,546,681,764,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,046 | 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
universes u v
open group
variables {R : Type u} [ring R]
/-- `S` is a subring: a set cont... |
954f24c643a5ab58502aab4791a84b9a5ca16119 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed_space/star/spectrum.lean | 55bd525acdbf2e3f68a93b9b34f4f0e2b0cd3eb0 | [
"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 | 7,914 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.star.basic
import analysis.normed_space.spectrum
import analysis.normed_space.star.exponential
import analysis.special_functions.exponentia... |
b755e9b6f0b7d55cda1c9a0d00ff8975e6396fa6 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/util.lean | 8c56da878bebc390ed27d6427549b423a5ba6d6c | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,446 | 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
universes u
/- This function has a native implementation that tracks time. -/
def timeit {α : Type u} (s : string) (f... |
207551401ff3949df63600a1bb80dc87946784be | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/nat/sqrt.lean | 904d6a5311d08a028f245243be7e5eb3b28584c6 | [
"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 | 7,194 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import data.int.basic
/-!
# Square root of natural numbers
An efficient binary implementation of a (`sqrt n`) function that... |
ba00f8f67bf6d7dd67379043e541416be883a746 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/floor.lean | dc8c6fce6d9951a77a0e31e35dc16a025ee7f826 | [
"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 | 15,655 | 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 tactic.linarith
import tactic.abel
import algebra.ordered_group
import data.set.intervals.basic
/-!
# Floor and ceil
## Summary
We define ... |
6460419d6ba7d68a12a537d16ccab33236cf7029 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/category_theory/limits/shapes/images.lean | 8beebd55492e433182f428b62f14bc97b637808b | [
"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 | 25,339 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.strong_epi
/-!
# C... |
d438a25dcd4887bb59357c733625c36fb77bf81e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/ring/ulift.lean | d80b70875968eb8ab2ae4de1716ba464733f3a55 | [
"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 | 3,030 | 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.group.ulift
import data.equiv.ring
/-!
# `ulift` instances for ring
This file defines instances for ring, semiring and related structures on `ulift` ... |
e139f0ea621b3010569c15e47712e89c2b4050f8 | 022547453607c6244552158ff25ab3bf17361760 | /src/analysis/specific_limits.lean | 82f1f3e54bfe021b08fa824666abf1ab06aa82b0 | [
"Apache-2.0"
] | permissive | 1293045656/mathlib | 5f81741a7c1ff1873440ec680b3680bfb6b7b048 | 4709e61525a60189733e72a50e564c58d534bed8 | refs/heads/master | 1,687,010,200,553 | 1,626,245,646,000 | 1,626,245,646,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,810 | 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 algebra.geom_sum
import order.filter.archimedean
import order.iterate
import topology.instances.ennreal
import tactic.ring_exp
import analysis.asymptotics.asym... |
cee5e1bfb99a4d89f689b5f10ef422411fe3b2d2 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/uniform_space/cauchy.lean | 7ec7071eac33325f6636bab687dd182f9547a18e | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 16,083 | 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... |
6ac200fc8ed315a5c73b360fe6de422dbaa422df | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/algebra/multilinear.lean | 8ad6207fdad88f0fda3ccc14e7551eb6380292da | [
"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 | 12,873 | 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 topology.algebra.module
import linear_algebra.multilinear
/-!
# Continuous multilinear maps
We define continuous multilinear maps as maps from `Π(i : ι... |
2753d6860a2adea3453edece122d910396fd22e8 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/tactic/ring_exp.lean | fb44afc5ba19c278770546f2ea2ce2023366afc9 | [
"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 | 56,265 | lean | /-
Copyright (c) 2019 Tim Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Tim Baanen.
Solve equations in commutative (semi)rings with exponents.
-/
import tactic.norm_num
import control.traversable.basic
/-!
# `ring_exp` tactic
A tactic for solving equations i... |
8d96c7f7e66126b9d76cafd58be392e1676f679b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/algebra/order/extr_closure.lean | 834214a96ff6000dfb39d73f88f25ef6d6ca13d9 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,298 | 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 topology.local_extr
import topology.algebra.order.basic
/-!
# Maximum/minimum on the closure of a set
In this file we prove several versions of the f... |
e217c06f4fdeb5c26f7af58ddd4bbc4bdf19a14a | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2015/IMO_2015_P4.lean | f87c6f9761c915ae9bc0e6f6cc0a7543f3167844 | [
"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 | 720 | lean | import Geo.Geo.Core
namespace Geo
def IMO_2015_P4 : Prop :=
∀ (A B C : Point),
let Ω := Triangle.circumcircle ⟨A, B, C⟩;
let O := Triangle.circumcenter ⟨A, B, C⟩;
∀ (D E : Point) (Γ : Circle),
Circle.isOrigin A Γ →
intersectAt₂ Γ (Seg.mk B C) D E →
[B, D, E, C].allDistinct →
inOrderOn [B, D, E, C] (Line.mk B C) →
∀ (... |
8c940cf21a328ea404fc2eb9128d00d7f531d0c1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/number_theory/pell.lean | b2abfcd4cc8dd63cdeba6e454c91a5b22090e053 | [] | 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 | 12,278 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.modeq
import Mathlib.data.zsqrtd.basic
import Mathlib.tactic.omega.default
import ... |
60c0070baa7d28ffccb8a89a67837707acc71255 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/init/tactic.lean | 3aaeb60ee8ed22617e44a985684f9f8bafbb6677 | [
"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 | 8,045 | 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
This is just a trick to embed the 'tactic language' as a Lean
expression. We should view 'tactic' as automation that when execute
produces a term. tactic.buil... |
2f32fd6aa6a08bd9ee168d92b8dd3aaf443e4061 | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/Generic/Notation.lean | 22b21ae0e1920dc59679103e08e7acd4e039b02f | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 550 | lean | -- Some type classes for special notation that we use.
import mathlib4_experiments.Data.Notation
set_option autoBoundImplicitLocal false
universes u v w
class HasProduct (α : Sort u) (β : Sort v) where
{γ : Sort w}
(Product : α → β → γ)
infixr:35 " (⧆) " => HasProduct.γ
infixr:35 " ⧆ " => HasProduct.Prod... |
7dfe1762225c2458816901e2fd61deef47de0b4e | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/nat.lean | 3f713070fa2f968fb821f725a52da8ba089e7824 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 8,310 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
21afd709b874a1e7c3dc59ac2c58e8de43f7babd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/big_operators/basic.lean | ac866d2ce39f330b9563b1e6069a37efbec897c6 | [
"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 | 22,342 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Floris van Doorn, Sébastien Gouëzel, Alex J. Best
-/
import data.list.forall2
/-!
# Sums and products from lists
This file provides basic results about `list.prod`, `... |
043428b4190fa29433c10eac2345eb3f0ad1311f | 0bd6c950c82dcba3e46dc8d8acb5ecc60b917520 | /ramsey.lean | 534c1c0f0c4fbc593ef3cbc9471719a8438f3cce | [] | no_license | truonghoangle/formalabstracts | 976dbbdede5c71346a3c534a8f319456248d4610 | b889ec60143315053a51b1829a5dc4d82ba503b3 | refs/heads/master | 1,584,899,948,798 | 1,537,184,894,000 | 1,537,184,894,000 | 140,428,980 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,243 | lean |
import data.set.finite
open set
variables α : Type
variable [decidable_eq α]
theorem infinite_ramsey (s :set α) (C:finset α → ℕ ) (m n:ℕ):
infinite s ∧
(∀ t:finset α, t.to_set ⊆ s ∧ t.card = n → C t≤ m)
→ ∃ t c, infinite t ∧ t ⊆ s ∧
(∀ u:finset α, u.to_set ⊆ t ∧ u.card =n → C u = c)
:=
b... |
64728665ea6fb06098ff77a20aa72d3e64f52d5a | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/fintype/intervals.lean | 430b3d03efe8f4a4cbfce302326809201cae6e05 | [
"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 | 1,623 | 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 data.set.intervals
import data.set.finite
import data.fintype.basic
import data.pnat.intervals
/-!
# fintype instances for intervals
We provide `fintype` ins... |
af432be9b1e929c1def81d14194cd83039142f28 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/flat.lean | 8eff39776ef51e61ff778c0d8560051ee472e067 | [
"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 | 2,682 | 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 linear_algebra.dimension
import ring_theory.noetherian
import ring_theory.algebra_tower
/-!
# Flat modules
A module `M` over a commutative ring `R` is *flat... |
616aeeda330193fc1f5f1d54bc1e9317b39a365d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/PreDefinition/Structural/Eqns.lean | 21c990b4c613da5b0f45d9d1acbbbbcaa3ee6417 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3,900 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Eqns
import Lean.Meta.Tactic.Split
import Lean.Meta.Tactic.Simp.Main
import Lean.Meta.Tactic.Apply
import Lean.Elab.PreDefinition.Basic
imp... |
07342249087b57057f3784becec1c23c0f669826 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/golf.lean | e44bfd44a63fa6121de5d34f459ae237ff81587c | [] | 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 | 1,693 | lean | import .base_case tactic
open free_group multiplicative
variables {ι : Type} [decidable_eq ι]
def golf_single_aux (r : free_group ι) : Π (w : free_group ι) (wl : ℕ), free_group ι
| w wl :=
let wr := w * r in
let wrl := wr.to_list.length in
if h : wrl < wl
then golf_single_aux wr wrl
else w
using_well_f... |
d46ff35b0ef33753e56b51733705300ed8780a89 | 74a42606b2a618112114eacdd674a7cc28b585c4 | /tpl-sec5.lean | e9413cb027de8bb7cc620629c72594eca462e2df | [] | no_license | Hodapp87/leanprover_scratch | 8c53ce6d9e666f8f14cb6162c9e9429ebbecbc8c | de347c54ee56c2a05804f80d5f28e98070507236 | refs/heads/master | 1,610,428,204,434 | 1,484,350,758,000 | 1,484,350,758,000 | 77,873,828 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,784 | lean | -- https://leanprover.github.io/theorem_proving_in_lean/index.html
-- Section 5 (Tactics)
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
print test
-- This looks very Coq-like to me (perhaps intentionally, since Roesch
-- sp... |
421b11ef7bd2665aa801423029193de3bdcfa321 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/concrete_category/default.lean | 23b547fc38ceba04956f7a3fea1db2f341f02c37 | [
"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 | 204 | lean | import category_theory.concrete_category.basic
import category_theory.concrete_category.bundled
import category_theory.concrete_category.bundled_hom
import category_theory.concrete_category.unbundled_hom
|
c958434ea4c2f0c1ffdbe71c5a98c05f370616a9 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/uniform_space/completion.lean | 4e3385e7a837638e6aeaa4fb26728cd15ddcd54f | [
"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 | 23,226 | 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
Hausdorff completions of uniform spaces.
The goal is to construct a left-adjoint to the inclusion of complete Hausdorff uniform spaces
into all uniform... |
5865ae61d38e318078c2af6c4328cdf624fd19e8 | b4a7d9c9980fc97e8ea50eaec4d4dab5467ec1ff | /docs/hlm/experimental/lean/hlm-defs.lean | 82c84feeb1b3cb6385deea7362c76d71a28446e0 | [
"MIT"
] | permissive | SReichelt/slate | 27fe8b4f162338460334d86cca640f6dabb24b00 | e7d8d3cfd1b8311b7d1026e1b83add345db2e0bd | refs/heads/master | 1,674,179,982,128 | 1,670,018,304,000 | 1,670,018,304,000 | 167,445,060 | 18 | 1 | MIT | 1,673,266,820,000 | 1,548,367,505,000 | TypeScript | UTF-8 | Lean | false | false | 27,696 | lean | /-
This file experimentally maps the primitives of the HLM logic to the Lean proof assistant.
In particular, for HLM parameters of type `Set`, `Subset`, and `Element`, we provide three
Lean types with the same names. Some usage examples are included at the bottom.
The translation serves several purposes:
* It gives HL... |
d2b0e436a8e9f0b478be4457ecafbea6313fc6d1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/exterior_algebra/of_alternating.lean | 2ad764e901130c0ba9490b93b79cdb238e76a6d6 | [
"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 | 6,206 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.clifford_algebra.fold
import linear_algebra.exterior_algebra.basic
/-!
# Extending an alternating map to the exterior algebra
## Main definitions
... |
bac05f7084a0cd6894b23caba24e4936b4f3b95c | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/category/bitraversable/instances.lean | 8ddf29dae0a700f4bf407df38fac5e523fb524a3 | [
"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 | 4,007 | lean | import category.bitraversable.basic
category.bitraversable.lemmas
category.traversable.lemmas
tactic.solve_by_elim
universes u v w
variables {t : Type u → Type u → Type u} [bitraversable t]
section
variables {F : Type u → Type u} [applicative F]
def prod.bitraverse {α α' β β'} (f : α → F α') (... |
5ef1cfd112bedc97a1ca658e02f610f7f458a61c | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Init/Notation.lean | 8c425b3c8f59bd3f7272c985a9da953d0c1c02f6 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,467 | 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
Notation for operators defined at Prelude.lean
-/
prelude
import Init.Prelude
-- DSL for specifying parser precedences and priorities
namespace Lean.Parser.... |
ecc0538640585770ac2575818217601c982cd422 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/ring_theory/localization.lean | e732fefd4fec97db2546cb4ba0f3ed3b69e47ae5 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 24,634 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin
-/
import tactic.ring data.quot data.equiv.algebra ring_theory.ideal_operations group_theory.submonoid
universes u v
namespace localization
varia... |
4f9b84187342f5c1db116c3692a54f641884d8f9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/filter/lift.lean | 81c48e3e98b27a3dffb42dffd0fd480765aa58da | [
"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 | 19,406 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.filter.bases
/-!
# Lift filters along filter and set functions
-/
open set
open_locale classical filter
namespace filter
variables {α : Type*} {β : T... |
fb174d094488e9434cbf80dae11a4ad41b1e412e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /archive/100-theorems-list/16_abel_ruffini.lean | 2bdc569180ffeb0cffd2f2e08fd314a0a7c40fe4 | [
"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 | 7,868 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import field_theory.abel_ruffini
import analysis.calculus.local_extr
/-!
Construction of an algebraic number that is not solvable by radicals.
The main ingredients... |
f3261759d215c74f9248adc4d1be56940384d9f3 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Data/RBMap.lean | b3c02ddb089ab304c881ab1b4a910f933c0491a1 | [
"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 | 15,792 | 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
-/
namespace Lean
universe u v w w'
inductive Rbcolor where
| red | black
inductive RBNode (α : Type u) (β : α → Type v) where
| leaf ... |
dd21f42210ab5dd247efda4db64883472b716ccf | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/topology/algebra/module.lean | 7dba6acc2f6c95819c0e5685d32fdea188e81211 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 36,761 | 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 ring_theory.algebra
import linear_algebra.projection
/-!
# Theory of topologic... |
0291cea03604210eceb6a24354009a06b1b92c62 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/norm_num.lean | 97dba721cd51bb5b3621974af0441815f4826877 | [
"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 | 14,598 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import tactic.norm_num
import algebra.ring.pi
/-!
# Tests for `norm_num` extensions
-/
constant real : Type
notation `ℝ` := real
@[instance] constant real... |
c6c7bcba183414137ceb35891acb3a3bb2ea263c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/pfun.lean | 9d27724a938f8bff42e644ce37816eb239a866b9 | [
"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 | 22,646 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Jeremy Avigad
-/
import data.rel
/-- `roption α` is the type of "partial values" of type `α`. It
is similar to `option α` except the domain condition can be an
arbi... |
3d08b4246c201bb150af490ee22546b0a522afb7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/zorn.lean | e5b47dfba7d15eeccdfa171d3d2849a0fcc05936 | [
"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 | 16,294 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.set.lattice
/-!
# Chains and Zorn's lemmas
This file defines chains for an arbitrary relation and proves several formulations of Zorn's Lemma,
along wit... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.