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class | length_bytes int64 3 6.4M | extension stringclasses 4
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5261617e1315baaf1435d05371c47a043a057085 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/geometry/manifold/smooth_manifold_with_corners.lean | f0ce96b3d6f3dcbeffe1470b589e9d3fc7dd05b9 | [
"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 | 41,669 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold i... |
03e34c33e3c7c39ab2ce51238aab987103561308 | 54518a41e0f0c03b53f961e37a3ac2fed5cfeaa9 | /src/bvm.lean | 0421839b3794fb850534cfaf178298e8e1425852 | [
"Apache-2.0"
] | permissive | cipher1024/flypitch | 9110cbfc99aa2195fe0a903fffc7034cdb00e87c | 357cd9cc344d7b6ea0c1f5d7232956b9ddb39359 | refs/heads/master | 1,598,733,974,743 | 1,572,308,681,000 | 1,572,992,816,000 | 218,170,521 | 0 | 0 | Apache-2.0 | 1,572,308,724,000 | 1,572,308,723,000 | null | UTF-8 | Lean | false | false | 128,643 | lean | /-
Copyright (c) 2019 The Flypitch Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jesse Han, Floris van Doorn
-/
import order.complete_boolean_algebra order.zorn .pSet_ordinal
local infix ` ⟹ `:65 := lattice.imp
local infix ` ⇔ `:50 := lattice.biimp
-- unc... |
4b72c58e7bcef0d32d83d95641dc0d897f0adf3c | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/propositional_logic/propositional_logic_syntax_and_semantics.lean | e9baaeef9dee7d99499c3733a171d39564e2d520 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,238 | lean | inductive var : Type
| mk : ℕ → var
/-
SYNTAX
-/
-- Abstract syntax
inductive pExp : Type
| pTrue : pExp
| pFalse : pExp
| pVar : var → pExp
| pNot : pExp → pExp
| pAnd : pExp → pExp → pExp
| pOr : pExp → pExp → pExp
| pImp : pExp → pExp → pExp
| pIff : pExp → pExp → pExp
| pXor : pExp → pExp → pExp
open pExp
-- ... |
7e3bc1bd40a27edb0e53ac564666eb726e833aec | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/deprecated/subfield.lean | 45d8eec408488f9be28f7f95bafa4917e776c485 | [
"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 | 6,121 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
/-!
# Unbundled subfields (deprecated)
This file is deprecated, and is no longer imported by anything in mathlib other than other
depr... |
4709152281a0516f8b0fe7e992e6dee1a4c96768 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/AC.lean | bd8aede0ec79b28cd59fe20c0c2a81397b182872 | [
"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 | 190 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dany Fabian
-/
import Lean.Meta.Tactic.AC.Main
|
e18e8c2b1399fdb2bf0ea7b01f00ec76575e675a | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/inequality/08.lean | e698c1dc966c757f7dc342d4cfcafc49843de0c3 | [
"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 | 135 | lean | lemma succ_le_succ (a b : mynat) (h : a ≤ b) : succ a ≤ succ b :=
begin
cases h with n hn,
use n,
rw hn,
rwa succ_add,
end
|
b32e80a97018958449789ebec77052d0e172b269 | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/analytic/radius_liminf.lean | 24217e24ae3dcf706c1a26d3235c35228f871b70 | [
"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 | 2,490 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import analysis.analytic.basic
import analysis.special_functions.pow
/-!
# Representation of `formal_multilinear_series.radius` as a `liminf`
In this file we prove... |
3d7cf29d6428c8a6c229f836320eecd5f01756ac | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/tactic14.lean | dd52822cfc10e331bf5a585977e6fbe4e39966fb | [
"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 | 391 | lean | import logic
open tactic
definition basic_tac : tactic
:= repeat [apply @and.intro | assumption]
set_begin_end_tactic basic_tac -- basic_tac is automatically applied to each element of a proof-qed block
theorem tst (a b : Prop) (H : ¬ a ∨ ¬ b) (Hb : b) : ¬ a ∧ b :=
begin
assume Ha, or.elim H
(assume Hna, @absu... |
56e7b60cd86077b055319371c258396e818d857e | 1dd482be3f611941db7801003235dc84147ec60a | /src/topology/uniform_space/basic.lean | c80839e26657fa1321bee892bfb98ad88c84db1a | [
"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 | 79,564 | 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
Theory of uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
01ab0b7f146fb1bf8cb703fb03fae272a782347f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/uniform_space/basic.lean | 034d5e662b73f0c162a4e55d21942bc9665a5f88 | [
"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 | 71,754 | 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.subset_properties
/-!
# Uniform spaces
Uniform spaces are a generalization of metric spaces ... |
b136964ed6538e41f2deba01608ea76d65810636 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/subobject/mono_over.lean | 98ccbe1a4b4e159c706ae3bb3e7216c52a269976 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 13,523 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.functor.currying
import category_theory.limits.over
import category_theory.limits.shapes.images
import category_theory.adjunction.r... |
6ab9ba845a5d12a39199935e8647babf0483b388 | 35b83be3126daae10419b573c55e1fed009d3ae8 | /_target/deps/mathlib/data/padics/padic_numbers.lean | 10a83fcbe6bda3d4f7ceea514950419b5ee4a1ef | [] | no_license | AHassan1024/Lean_Playground | ccb25b72029d199c0d23d002db2d32a9f2689ebc | a00b004c3a2eb9e3e863c361aa2b115260472414 | refs/heads/master | 1,586,221,905,125 | 1,544,951,310,000 | 1,544,951,310,000 | 157,934,290 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,299 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
Define the p-adic numbers (rationals) ℚ_p as the completion of ℚ wrt the p-adic norm.
Show that the p-adic norm extends to ℚ_p, that ℚ is embedded in ℚ_p, and that ℚ_... |
130af1c3013060099a911cdad9f31be030fb4b5e | 618003631150032a5676f229d13a079ac875ff77 | /test/ext.lean | 68784d53c888e1184145f962d7beb05eaa730022 | [
"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 | 2,968 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.ext
import tactic.solve_by_elim
import data.stream.basic
import data.finset
@[ext] lemma unit.ext (x y : unit) : x = y :=
begin
cases x, cases y, refl
end... |
1a2e784f7e2f3efa088e10c0faa5739f7e5a1fa2 | d751a70f46ed26dc0111a87f5bbe83e5c6648904 | /Code/src/inst/network/ids.lean | bfe22b7589edbf9e10450251c56b3bc25be63aec | [] | no_license | marcusrossel/bachelors-thesis | 92cb12ae8436c10fbfab9bfe4929a0081e615b37 | d1ec2c2b5c3c6700a506f2e3cc93f1160e44b422 | refs/heads/main | 1,682,873,547,703 | 1,619,795,735,000 | 1,619,795,735,000 | 306,041,494 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 644 | lean | import inst.reactor
-- A type of unique identifiers for reactors in a network.
protected def reactor.id := ℕ
-- A type of unique identifiers for reactions in a network.
@[ext]
protected structure reaction.id :=
(rtr : reactor.id)
(rcn : ℕ)
-- Reaction-IDs' equality is non-constructively decidable.
noncomputab... |
48c6724b298ea4fd086479df4be7d8e81b0d554c | 4fa161becb8ce7378a709f5992a594764699e268 | /src/ring_theory/adjoin_root.lean | a0209519d32f45165449edf7ccc40697921b837b | [
"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 | 4,178 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
Adjoining roots of polynomials
-/
import data.polynomial
import ring_theory.principal_ideal_domain
/-!
# Adjoining roots of polynomials
This file define... |
cb07fefed23a25b85d57f7816e3c3c5b6c2cc913 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/bench/rbmap_checkpoint2.lean | 285f3d44f508ab4807fd619eda9f22b5bac1d3c1 | [
"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 | 3,347 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.coe init.data.option.basic init.system.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
d0bf1c3e1d573c2c1447cee265a8ef5bfabec567 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/order/complete_boolean_algebra.lean | 8827fec5999fcaa3bb155366f196d8c9b9ed087c | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 4,587 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete Boolean algebras.
-/
import order.complete_lattice order.boolean_algebra data.set.basic
set_option old_structure_cmd true
universes u v w
variables... |
5cbe3e2f38fd83444fcb0aceb597c201ebd52ff9 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/dfinsupp.lean | 10a5823d503a16618474b7fdfb927c1741325387 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 48,894 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
-/
import algebra.module.pi
import algebra.big_operators.basic
import data.set.finite
import group_theory.submonoid.basic
/-!
# Dependent functions with finite su... |
d69dddaf9be1dd792267a3c513f56c5ef0b8e106 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Compiler/IR/NormIds.lean | f2d2cfb4352daacfc87433702c36f3369046fd6a | [
"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 | 7,438 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Reader
import Init.Control.Conditional
import Init.Lean.Compiler.IR.Basic
namespace Lean
namespace IR
namespace UniqueIds
abbr... |
684549970e8c6aa0959acfc43285d691c3e553c0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed/group/pointwise.lean | d355e95c1835c6f4c05379d83c20ad363ce115db | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,513 | 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 analysis.normed.group.add_torsor
import topology.metric_space.hausdorff_distance
/-!
# Properties of pointwise addition of sets in normed groups
We exp... |
66e17d519d1d249e4fd6387eeb7b5bb85d7ce72c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/determinant.lean | a8d473a41635ef1bde1ab20fe0c971f1e474a01b | [
"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 | 22,823 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.multilinear.basis
import linear_algebra.matrix.reindex
import ring_theory.algebra_tower
import tactic.... |
becc7123e5f0986dbbd1236bd6a3cd190c9f3bb2 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/combinatorics/composition.lean | a9bdcafda3213d8baa41bcc715ba93ec9a077745 | [
"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 | 36,454 | 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 data.fintype.card
import data.finset.sort
import algebra.big_operators.order
/-!
# Compositions
A composition of a natural number `n` is a decompositio... |
231815d168260f9da9013e4633386bc4d3eba6c7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/fractional_ideal.lean | 65e5dc7d5c5c873aa6c18eb3ca60759a543b15c0 | [] | 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 | 41,485 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Filippo A. E. Nuccio
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.localization
import Mathlib.ring_theory.noetherian
import Mathl... |
9b4ccc52bd4d70c975e8183a8e24ad5513411738 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/continued_fractions/basic.lean | 38d573b2959d812cae1430089b71c329f03db506 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 13,301 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import data.seq.seq
/-!
# Basic Definitions/Theorems for Continued Fractions
## Summary
We define generalised, simple, and regular continued fractions and funct... |
27fcf02f4d0b656a89eeedfb52a06c1d2b42d926 | 0ddf2dd8409bcb923d11603846800bd9699616ea | /vector.lean | 6fbcde60aea80a99eadfa9b941c45083dfdff6b2 | [] | no_license | tounaishouta/Lean | 0cbaaa9340e7f8f884504ea170243e07a54f0566 | 1d75311f5506ca2bfd8b7ccec0b7d70c3319d555 | refs/heads/master | 1,610,229,383,935 | 1,459,950,226,000 | 1,459,950,226,000 | 50,836,185 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,338 | lean | import standard
open nat
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A zero
| cons : Π {n : nat}, A → vector A n → vector A (succ n)
open vector (nil cons)
infix `^` := vector
infixr ` :: ` := cons
definition uncons {A : Type} : Π {n : nat}, A^succ n → A × A^n :=
have aux : Π m : nat, A^m → Π ... |
12ced782c4a838f151df87ee521b6b157f31d867 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/algebra/infinite_sum.lean | bc12f6d23a0e747c3395e5608856b24fbdff4372 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 25,374 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Infinite sum over a topological monoid
This sum is known as unconditionally convergent, as it sums to the same value under all possible
permutations. For Euclidean spa... |
33450e36fe8fca9daf23378d659868cbc5c0c1ac | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/combinatorics/domino.lean | 885fcfd8880dd7882b098920d25cce8a069c035a | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,337 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
(This is part of an attempt to formalise some material from
a basic undergraduate combinatorics course.)
A "domino" means a subset of ℕ × ℕ of the form
{i} × {j,... |
663cd74e64b05ea828e7b26d4c71b5d99f22a7b5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/obtain.lean | 15fa6320913af3e3d15e424db90cb90154126dd2 | [
"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 | 653 | lean |
macro "obtain " p:term " from " d:term "; " body:term : term =>
`(match $d:term with | $p => $body)
theorem tst1 {p q r} (h : p ∧ q ∧ r) : q ∧ p ∧ r :=
match h with
| ⟨h₁, ⟨h₂, h₃⟩⟩ => ⟨h₂, ⟨h₁, h₃⟩⟩
theorem tst2 {p q r} (h : p ∧ q ∧ r) : q ∧ p ∧ r :=
obtain ⟨h₁, ⟨h₂, h₃⟩⟩ from h;
⟨h₂, ⟨h₁, h₃⟩⟩
macro "obtain " p:... |
aaf3e5a6b24456d962c0469cea28131f085bcca1 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/topology/algebra/infinite_sum.lean | 1c0f0ad1ed79674f191f4f0183c97e01136db0e2 | [
"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 | 39,038 | 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.big_operators.intervals
import topology.instances.real
import data.indicator_function
import data.equiv.encodable.lattice
import order.filter.at_top_bo... |
ca55006c6624a24d14d7524b234dea3681196c4c | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/ring_theory/trace.lean | 776788b63afa3ce77d0838bd100f31e0b144ad1a | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,968 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.bilinear_form
import ring_theory.power_basis
/-!
# Trace for (finite) ring extensions.
Suppose we have an `R`-algebra `S` with a finite basis. For ... |
ba090bb04a8981a2590a1405f3afd8bee3d0ad50 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/simps.lean | a48170207209e66aa55fc3a7478ff0ac87714627 | [
"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 | 46,692 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.protected
import algebra.group.to_additive
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically generate `simp` lemm... |
7b1f26b303d1319b8268c1867cde72b5067ad8e4 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/sign.lean | 092565b849f62742e44c1f2ca4aaffc91b383b68 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 12,374 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import algebra.big_operators.basic
import data.fintype.card
import tactic.derive_fintype
/-!
# Sign function
This file defines the sign function for types with zero... |
32208876b39c437b80f0d633b83570cb9edb844f | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/algebra/group/with_one.lean | 03b1c620df67f202a3e085ab958e3b5fc902f152 | [
"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 | 9,093 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johan Commelin
Various multiplicative and additive structures.
-/
import algebra.group.to_additive algebra.group.basic algebra.group.hom
universes u v
variable {α : T... |
c694e2f89c204613d8765412d8d6c09b2cddd036 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/sigma_category.lean | 6525941ec5f4d65b503fd7d0b6a68672db957a60 | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 965 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.fully_faithful
/- This is exactly analogous to the full_subcategory definition for a subtype, but
for a sigma type instead. -/
namespace c... |
09abd2aba2ec93a062a1064cce230a8995685c81 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/cc_ac3.lean | de3bd032fdbe2736099869c151810443e97a9a9b | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 1,132 | lean | open tactic
example (a b c d e : nat) (f : nat → nat → nat) : b + a = d → b + c = e → f (a + b + c) (a + b + c) = f (c + d) (a + e) :=
by cc
example (a b c d e : nat) (f : nat → nat → nat) : b + a = d + d → b + c = e + e → f (a + b + c) (a + b + c) = f (c + d + d) (e + a + e) :=
by cc
section
universe variable u
... |
5493e937f7751bb7d7e9a810b5f7a0b0e15a4534 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /data/set/basic.lean | 1e383983d749015b1fb621d1569b36205c9df995 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 32,451 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors Jeremy Avigad, Leonardo de Moura, Johannes Hölzl
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import logic.basic data.set -- from the library in the main repo
... |
7f90e1f2c5c679a4688d2d81d132b38f43f34b70 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/multiplicity.lean | e9057a160e6567e5677b076b9bbd62c97ddc2fc1 | [
"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 | 22,784 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Chris Hughes
-/
import algebra.associated
import algebra.big_operators.basic
import ring_theory.valuation.basic
import data.nat.factorization.basic
/-!
# Multiplicit... |
244bf928a73e75bc383e05f18025ad8925ac99a7 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex15.lean | d67d090fce0466a40a11cc09dcf64a029d416358 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 285 | lean | /-
We want to do is define objects in Lean and prove things about them.
-/
definition foo : (ℕ → ℕ) → ℕ := λ f, f 0
check foo -- (ℕ → ℕ) → ℕ
print foo -- λ (f : ℕ → ℕ), f 0
eval foo nat.succ
definition foo' := λ f : ℕ → ℕ, f 0
check foo'
|
6e2797ed072c8503533bbd2b6f756ea7ccde29d0 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/local_properties.lean | 04153d3d739297b4b28e3a6f6b08160008609f66 | [
"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 | 23,383 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.localization
import data.equiv.transfer_instance
import group_theory.submonoid.pointwise
import ring_theory.nilpotent
/-!
# Local properties of commutat... |
e0fd000f340185eaa736cb222171a7e4087d66c0 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /tests/lean/run/simp3.lean | 183965e2a027e9f893404ef0e92701e14336290d | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 737 | lean | constant f (x : Nat) : Nat
@[simp] axiom fEq (x : Nat) : f x = x
theorem ex1 (x : Nat) : f (f x, x).fst = x := by simp
theorem ex2 (x : Nat) : f ((fun a => f (f a)) x) = x := by simp
constant g (x : Nat) : Nat
@[simp] axiom gEq (x : Nat) : g x = match x with | 0 => 1 | x+1 => 2
@[simp] theorem add1 (x : Nat) : x + 1... |
238bfcdea18b5cf83a34d42ea2eda213b02d3875 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/uni_issue1.lean | d56d97fb0330eb2fbada75e24f8f7c94c6356da3 | [
"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 | 162 | lean | namespace experiment
inductive nat : Type
| zero : nat
| succ : nat → nat
definition is_zero (n : nat) : Prop
:= nat.rec true (λ n r, false) n
end experiment
|
46461db709e2d9bd090f0e2acc74f32aa9a7d39d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/doubling.lean | b9562c46077a03c8625cf6169c1b15fc4011205e | [
"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 | 6,069 | lean | /-
Copyright (c) 2022 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import analysis.special_functions.log.base
import measure_theory.measure.measure_space_def
/-!
# Doubling measures
A doubling measure `μ` on a metric space is a measure f... |
01732f38f3ce528c4fa596811e3976e2f434a8c9 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /order/galois_connection.lean | 5152ff69637a284c67f6bcd504d754135e29abf4 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 6,801 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Galois connections - order theoretic adjoints.
-/
import order data.set
open function set lattice
universes u v w x
variables {α : Type u} {β : Type v} {γ : Type w} {ι ... |
956a938a133becff131fca5168ab5c3640527b53 | 439bc6c3e74a118aa51df633b8e1f24415804d86 | /sheaf_condition.lean | b7225185acceeefb425949b98d0c7d4a20e8c5fa | [] | no_license | jcommelin/lt2019_slides | 4ca498db02b5187c5778c21b985126d52d260696 | 3234cd92920d3d4321cc2cef78b48e5fa55be413 | refs/heads/master | 1,586,718,101,957 | 1,546,930,855,000 | 1,546,930,855,000 | 162,697,592 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 56 | lean | F'(U) = { s ∈ Π_i F(U_i) | r(s_i) = r(s_j), ∀ i,j } |
6e257bebe3b94b9cd3401efb5b7ae9f80df354f1 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/normed_space/banach.lean | c900d45d51f63c050a8a26a7ed60f24689293f4d | [
"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 | 21,566 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
import analysis.normed_space.affine_isometry
/-!
# Banach open mapping theorem
T... |
87244fbde64690aa4a61abf3eae672d34da288f5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/int/log.lean | 2db29221f739cf1d9c076b5e47eea83479fbd550 | [
"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 | 12,247 | 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 algebra.order.floor
import data.nat.log
/-!
# Integer logarithms in a field with respect to a natural base
This file defines two `ℤ`-valued analogs of the logarith... |
450e973f433c289b9f7f35f58effa39ed7d7ee2f | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Data/Array/Basic.lean | 54ca8b4bb2721f09363c249c5b29ce2d4bf9552e | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,509 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString
import Init.Control.Id
i... |
f3c473e5b5bfe806e97049fb596eb8ebd77738bc | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/set/finite.lean | a560e864fe1efb4885f1d627e46ea31e1c2ec583 | [
"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 | 22,228 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Finite sets.
-/
import logic.function
import data.nat.basic data.fintype.basic data.set.lattice data.set.function
import algebra.big_operators
open set... |
aefffb1793d0872dbfc41e7c24a679bbdfad47ca | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/offset1.lean | 507970fb6c4c0fb343985d8fe3ff1dc391af3997 | [
"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 | 476 | lean | open nat
inductive {u} vec (α : Type u) : ℕ → Type u
| nil {} : vec 0
| cons : α → Π {n : nat}, vec n → vec (n+1)
namespace vec
def head {α : Type*} : Π {n : ℕ}, vec α (n+1) → α
| n (cons x xs) := x
end vec
constants (dret : Π {n : ℕ}, vec nat n → (vec nat n → nat) → nat)
axiom dret_spec : Π {n : ℕ} (xs : vec nat ... |
edeb5404ce8dc9ca51e8b8d3d4327774e179a7a8 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/unfold_rec2.lean | 421967b0bb8995a83e322a9accb860f16e707b3d | [
"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 | 209 | lean | open nat
definition f (a n : ℕ) : ℕ := nat.rec_on n (λa', a') (λn' f' a', f' (a' * 2)) a
example (a n : nat) : a = 2 → f a (succ n) = f 4 n :=
begin
unfold f at {1},
state,
intros, subst a
end
|
33102ae07c48c94d5520754303e5b222a8f6db45 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/tactic/suggest.lean | 1d104ba47676b22c0f5135a1ead56a5dba8fd0cf | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 16,342 | lean | /-
Copyright (c) 2019 Lucas Allen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lucas Allen and Scott Morrison
-/
import data.mllist
import tactic.solve_by_elim
/-!
# `suggest` and `library_search`
`suggest` and `library_search` are a pair of tactics for applying ... |
b20fcfa02b7e368839a73eaebe0ceb27614500c1 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/fintype/card.lean | 43d7bf3b7f0f5869efc8449ec94f66125bedd7a1 | [
"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 | 41,841 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.basic
import data.finset.card
import data.list.nodup_equiv_fin
import tactic.positivity
import tactic.wlog
/-!
# Cardinalities of finite types
>... |
d016857a5b12f029e79931f027ca75a98df31cfa | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/finsupp_vector_space.lean | 52889c94fa4d08232b462f7b3fe7582604298cff | [
"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 | 7,951 | 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 data.mv_polynomial
import linear_algebra.dimension
import linear_algebra.direct_sum.finsupp
import linear_algebra.finite_dimensional
import linear_algebra.std... |
4669d1cb63a0fae21836f0a6b4491d89e4711e55 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/big_operators.lean | 72060ee8a811fa784a24b9fc5baacf79a9d192ee | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 52,408 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset
import data.nat.enat
import tactic.omega
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifically, `fin... |
f1de9be14be7c8a3e6e02177a523ef30b463432a | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12-2001-p5.lean | 17b7231bcd3b8b14568ac2113af37d7ef9a3611a | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 451 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
import data.finset.basic
import algebra.big_operators.basic
open_locale big_operators
example (A : finset ℕ) (h₀ : A = finset.filter (λ e, 2 ∣ (e + 1)) ... |
b1755b375007e0e7995e7d95b6aab9499e6a7a12 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/fin_cases.lean | cfb587fdcdbb9e793a777c573625fd36a9ec9692 | [
"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 | 4,349 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
Case bashing:
* on `x ∈ A`, for `A : finset α` or `A : list α`, or
* on `x : A`, with `[fintype A]`.
-/
import data.fintype.basic
import tactic.norm_num
namespace tacti... |
6f8f941c4d96453559777a1b364d7e50a3aeeefe | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/DList.lean | 9e8c5d19495f8f76eba5443e8eb8a42d57c30ac2 | [
"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 | 1,791 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.List.Basic
universes u
/--
A difference List is a Function that, given a List, returns the original
contents of the difference List ... |
6fc50a88336dcaf49613a2fa1a687225e9938ae5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/rbtree/insert.lean | 955270781fd371553fa642d64ff0f4fb341b94b3 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 33,754 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree.find
universes u v
local attribute [simp] rbnode.lift
namespace rbnode
variables {α : Type u}
open color
@[simp] lemma balance1_eq₁ (... |
289e108d6641a9d94ad58cdbfb83f46f2b07a459 | 92b50235facfbc08dfe7f334827d47281471333b | /hott/algebra/category/constructions/hset.hlean | 819dde2942ac80e034e8d1c3ceaefbca63da32e5 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 3,628 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
Category of hsets
-/
import ..category types.equiv
--open eq is_trunc sigma equiv iso is_equiv
open eq category equiv iso is_equiv is_trunc func... |
df6a7ba4f8cf3dfa558489cb4299a6b64aae1ccf | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/ring_theory/integral_closure.lean | 1366cdea57f6b153eabeff0c2757827305bcf913 | [
"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 | 13,691 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Integral closure of a subring.
-/
import ring_theory.adjoin linear_algebra.finsupp
universes u v
open polynomial submodule
variables (R : Type u) {A : Type v}
variables [comm... |
e4db62d7d6adc19e70f822653b14f407b0465914 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170309-analysing-expressions.lean | b4f21df9609a8a8024c0c33eeae45ea73efbf3d6 | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 562 | lean | open tactic
open tactic.interactive
meta def occuring_in ( targets : list expr ) ( e : expr ) : list expr := list.filter (λ t, expr.occurs t e) targets
meta def fail_if_empty { α : Type } (or_else : list expr → tactic α) : list expr → tactic α
| list.nil := failed
| l := or_else l
meta def unfold_at_least_one ( targ... |
b538218c25c1c1b6fa2c1db27d8e7f594c5a55bd | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/quote1.lean | f82869f9a39c736b69ee2d70adf2d080d59f5141 | [
"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 | 270 | lean | open tactic list
meta_definition foo (a : pexpr) : pexpr :=
`(%%a + %%a + %%a + b)
example (a b : nat) : a = a :=
by do
a ← get_local `a,
t1 ← mk_app `add [a, a],
t2 ← to_expr (foo (to_pexpr t1)),
trace t2,
r ← mk_app (`eq.refl) [a],
exact r
|
aab4622422256547617740a2570fbfc695feee79 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/finsupp/pointwise.lean | 04d23f6faeecef22bd0ab3ed476a21eec3de3046 | [
"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 | 1,976 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.finsupp.basic
/-!
# The pointwise product on `finsupp`.
TODO per issue #1864:
We intend to remove the convolution product on finsupp, and define
it only... |
89b461449c768d5eaa5fba14318b8b5d607a1fe1 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/combinatorics/set_family/kleitman.lean | daefabc28c79de6f24546dd52bde96ddbec5cc17 | [
"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 | 3,746 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import combinatorics.set_family.harris_kleitman
import combinatorics.set_family.intersecting
/-!
# Kleitman's bound on the size of intersecting families
An intersecting... |
ab9c4d483dea4957aa9fbc38efa768166d6ef6e3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/choose_auto.lean | 7cdd98b17ffbb94af442069a7567e752979d5f56 | [] | 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 | 3,771 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Floris van Doorn, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/... |
7324246d0fc0c9b7b19e0eb7983d75f0636928f2 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/indicator_function.lean | 71019a37d71c510d58dd61c530148994336b9a17 | [
"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 | 1,345 | 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 analysis.normed.group.basic
import algebra.indicator_function
/-!
# Indicator function and norm
This file contains a few simple lemmas about `... |
b0d0d0adc16df02a92015a89930a11c27fd38af4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/erase_dup.lean | e3da08b38647002ffbab31cdd3f63f36c3355eab | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,302 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.nodup
import Mathlib.PostPort
universes u
namespace Mathlib
namespace list
... |
2fbe68386dad47f5778f6303ec7256e99b6091c0 | b82c5bb4c3b618c23ba67764bc3e93f4999a1a39 | /src/formal_ml/probability_space.lean | 86a051dcae0e6e7dc5ece96b5494f582787ac0dc | [
"Apache-2.0"
] | permissive | nouretienne/formal-ml | 83c4261016955bf9bcb55bd32b4f2621b44163e0 | 40b6da3b6e875f47412d50c7cd97936cb5091a2b | refs/heads/master | 1,671,216,448,724 | 1,600,472,285,000 | 1,600,472,285,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,958 | 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... |
b97126ec49c6ab1676315727bdbf554dff92bf58 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/topology/algebra/uniform_group.lean | 5c6b9e731c49a59317935cbc3cbc0af17567b011 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 20,507 | 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
Uniform structure on topological groups:
* `topological_add_group.to_uniform_space` and `topological_add_group_is_uniform` can be used to
construct a... |
69455afdccfc60a02e214e9ba00336eb978ac9f4 | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/rules/pushFilterPastAgg.lean | 5951925490b5665b91f6edc9a98d81e089eeeade | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,053 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..cosette_tactics
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
constant integer_10 : const int
definition rule: forall (Γ scm_dept: Schema) (rel_dept: relation scm_dept) (dept_deptno : Column int sc... |
9ea95d9a37f93ac015f066e06332d988244ec9fc | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/conformal/inner_product.lean | 7d84a6b327469bfe9192bf1392c177bc85f4e7c2 | [
"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 | 2,449 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.calculus.conformal.normed_space
import analysis.inner_product_space.conformal_linear_map
/-!
# Conformal maps between inner product spaces
A function be... |
dce4eeaa5881087459764298ee3aba07a4777d98 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/tactic/clear.lean | 506160ff3be7d01e7cf646e00c09dfb8c1dd1763 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 2,939 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import tactic.core
/-!
# Better `clear` tactics
We define two variants of the standard `clear` tactic:
* `clear'` works like `clear` but the hypotheses that should... |
056f9e6f266bb0fee39c872366e3bc53f2690880 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/run/basic_monitor1.lean | fa4b2ec984048dca4c8d896fa901b9e09d26204a | [
"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 | 273 | lean | meta def basic_monitor : vm_monitor nat :=
{ init := 0, step := λ s, return (trace ("step " ++ s^.to_string) (s+1)) >> failure }
run_cmd vm_monitor.register `basic_monitor
set_option debugger true
def f : nat → nat
| 0 := 0
| (a+1) := f a
#eval trace "a" (f 4)
|
52815852b1b71360f7e1e58e404be37394b0d970 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Match/MVarRenaming.lean | 366ad65e34c1827fdc1b489aba2c124b38b92fe3 | [
"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 | 1,034 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.ReplaceExpr
namespace Lean.Meta
/-- A mapping from MVarId to MVarId -/
structure MVarRenaming where
map : MVarIdMap MVarId := {}
def M... |
6d3b0f85e174e153c948f943440bb8a9dd0804df | 69bc7d0780be17e452d542a93f9599488f1c0c8e | /11-21-2019.lean | 57e6b538ee94fb89f385f6c3b24765c8c1283979 | [] | no_license | joek13/cs2102-notes | b7352285b1d1184fae25594f89f5926d74e6d7b4 | 25bb18788641b20af9cf3c429afe1da9b2f5eafb | refs/heads/master | 1,673,461,162,867 | 1,575,561,090,000 | 1,575,561,090,000 | 207,573,549 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,025 | lean | -- 11/21/2019 - natural deduction
variables P Q R : Prop
-- two different ways to solve proofs including "forall"
-- forall introduction: given a proof of Q for an arbitrary value of type P, we can conclude that Q holds "for all" P
-- i.e. ∀ (p : P), Q
example : ∀ (p : P), Q :=
λ (hp : P),
sorry
e... |
246cdc7c555177ca3d90b70955594756e3a545d2 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Tactic/Conv/Unfold.lean | c1c8b7d2cb6b435862733b090c6ac245b416d192 | [
"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 | 521 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Tactic.Unfold
import Lean.Elab.Tactic.Conv.Simp
namespace Lean.Elab.Tactic.Conv
open Meta
@[builtinTactic Lean.Parser.Tactic.Conv.unfold]... |
c1c01ff26fe6b1185adafe9a1816edf2409c5b1f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/mutualWithCompositeNames.lean | 78569fdfa4d56e2531f930f64fbaefadcd1c94c4 | [
"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 | 1,247 | lean | namespace Ex1
mutual
def Foo.boo (x : Nat) :=
match x with
| 0 => 1
| x + 1 => 2*Boo.bla x
def Boo.bla (x : Nat) :=
match x with
| 0 => 2
| x+1 => 3*Foo.boo x
end
example : Foo.boo 2 = 2*3*1 := by
simp [Foo.boo, Boo.bla]
end Ex1
namespace Ex2
mutual
def Bla.Foo.boo (x : Nat) :=
match x with
|... |
8869391e5d62b3ee972ed4a4d7170bc6d0204821 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rewrite_bug.lean | bc19e2538b35eeb0c1cbc2c3ce688129c1f6bc45 | [
"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 | 159 | lean | open nat
example (a b c : nat) : a = 0 → b = 1 + a → a = b → false :=
begin
intro a0 b1 ab,
rewrite a0 at *,
rewrite b1 at *,
contradiction
end
|
62e77a338c7108e6f48c7042eb24d8f0533860ef | abd85493667895c57a7507870867b28124b3998f | /src/data/fin_enum.lean | ea9998e013b1dbfacd44dc8db0f3659f58482139 | [
"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 | 8,922 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import control.monad.basic
import data.fintype.basic
/-!
Type class for finitely enumerable types. The property is stronger
than `fintype` in that it assigns each elemen... |
bea9aaf79fe02ec9ba18399a1877c846445edde3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/hahn_series.lean | 2a8c0a09b8ae747cd54c6bb41df56ab4ce31b8d5 | [
"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 | 62,221 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import order.well_founded_set
import algebra.big_operators.finprod
import ring_theory.valuation.basic
import algebra.module.pi
import ring_theory.power_series.basic
i... |
5ea37492436758e20e97d09c7762dc73b987ae52 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1812.lean | 8319abccc0e567174eab7e6b17f7fcb8da191741 | [
"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 | 228 | lean | def bndng (α : Type) : Type := string
inductive pterm : Type
| star : pterm -> pterm
| letrec : bndng pterm -> pterm
def weaken : pterm → pterm
| (pterm.star p) := pterm.star (weaken p)
| (pterm.letrec _) := pterm.letrec "" |
53ed382de64bc02f6a271c889424347582ffd55c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/geometry/manifold/basic_smooth_bundle_auto.lean | 2390dd9fe0e4d6b70d7fea5509c0f06627073488 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,408 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.topological_fiber_bundle
import Mathlib.geometry.manifold.smooth_manifold_wi... |
ea5f0bda81ec72d91708e88aaa2907dda4c92136 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/alias.lean | e4a3a380b5b08f247ff2cdae7363af806ccbc329 | [
"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 | 5,504 | 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.buffer.parser
import tactic.core
/-!
# The `alias` command
This file defines an `alias` command, which can be used to create copies
of a theorem or defi... |
c3bbdfb98d294e5ab41a7d479a4382631ab0d2f7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/intervals/group.lean | eb430b8c338aaead7d41631f3ffe0aec9379428c | [
"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 | 4,445 | 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, Yury Kudryashov, Rémy Degenne
-/
import data.set.intervals.basic
import algebra.order.group.abs
/-! ### Lemmas about arithmetic operati... |
1bf605e464cc57c3e9ed2b69cfa00f9ae14d6343 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/category/Group/colimits.lean | 6c4c10f4aa16d2287c5c0908b714a80bb53fd0d2 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 8,829 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.limits.limits
/-!
# The category of additive commutative groups has all colimits.
This file uses a "pre-a... |
9ec7d7513cec520c740b547d67741d256856efec | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/algebra_tower_auto.lean | 166a0fa32e4da012e824e6f977d1e06c679e5e85 | [] | 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 | 10,337 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.tower
import Mathlib.algebra.invertible
import Mathlib.linear_algebra.basis
import Ma... |
846f8df6982e0f4c092f6333f4fd5b5c1fbcb4fb | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/vertices.lean | fc0d5d419ebec1c5e78923f8e447a912e71e69ac | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 1,282 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simplicial_complex.exposed
open_locale classical affine big_operators
open set
--TODO: Generalise to LCTVS
variables {E ... |
2f39f9f34ff99aba804884b0a047997239b7ac3d | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/793a.lean | 780daf69a8804974d91ff52e916845ba8502206a | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 136 | lean | import data.rat
check 4.0
check 2.3
check 1.00
check 10.213
open rat
check -0.3
check 10.213
check 2.3
check 1.0
eval (λ v, 1.0) 2
|
f26af3672616cdaea8e5ed428f16ca58348b8f0b | 46125763b4dbf50619e8846a1371029346f4c3db | /src/linear_algebra/dimension.lean | 94b08635535128ec8db8d5d351414634f3d9ae5f | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 15,938 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Johannes Hölzl, Sander Dahmen
Dimension of modules and vector spaces.
-/
import linear_algebra.basis
import set_theory.ordinal
noncomputable theory
universes u u' u'' ... |
48807f3ed87ebd39c1eac962a902837be94a4bbe | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/algebra/ring.lean | 7ae1a4db85836397cb7fbb779bb199e9379ed5cf | [
"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 | 38,309 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland
-/
import algebra.group.hom
import algebra.group.units
import algebra.group_with_... |
4b7df60fd7d6a640752194f864fd29bfdeb30513 | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/for_mathlib/equalizers.lean | baec1f41f6da02e4ff9a8de81a48af34f7143be8 | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,968 | lean | import category_theory.limits.shapes.equalizers
noncomputable theory
namespace category_theory
open category
namespace limits
namespace equalizer
variables {C : Type*} [category C]
variables {X₁ X₂ X₃ Y₁ Y₂ Y₃ : C} {f₁ g₁ : X₁ ⟶ Y₁} {f₂ g₂ : X₂ ⟶ Y₂} {f₃ g₃ : X₃ ⟶ Y₃}
variables (φ : X₁ ⟶ X₂) (ψ : Y₁ ⟶ Y₂) (φ' : X₂... |
f7c3717aadeeab295acecfcac6d8e8fe32a56beb | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/galois_stdlib/src/galois/algebra/order.lean | 3ada41f30964eb98bc1b160a96692119321ad506 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 915 | lean |
variable {α:Type _}
namespace galois
lemma le_of_not_lt [linear_order α] {a b : α} : ¬ a < b → b ≤ a := le_of_not_gt
lemma not_lt_of_le [preorder α] {a b : α} (h : a ≤ b) : ¬ b < a
| hab := not_le_of_gt hab h
-- Simplify not-less than (mathlib alt)
@[simp]
lemma not_lt [linear_order α] {a b : α} : ¬ a < b ↔ b ≤ a ... |
a494c0c56694809f564dc4e1249f821db0c9d361 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/free_algebra.lean | b5d5a5cd957c9fe16950b0f388cc8b53e979c3b4 | [
"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 | 1,139 | 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 linear_algebra.basis
import algebra.free_algebra
import linear_algebra.finsupp_vector_space
/-!
# Linear algebra properties of `free_algebra R X`
This file provides... |
32642de9e4abc599aa64de5f03ab53f37a0b4e68 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/nat/dist.lean | d6b4046861e5101bb71dbcb6b0ff93d9e3721f6b | [
"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 | 4,437 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
Distance function on the natural numbers.
-/
import data.nat.basic
namespace nat
/- distance -/
/-- Distance (absolute value of difference) betwee... |
4eb38cebf9c7679752a1411fa686f2ab6977d69a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/tensor_product.lean | 2880b7c9aba29ede1c64b3c8c4c77167bfd6ab2d | [
"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 | 8,899 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.abelian
/-!
# Tensor products of Lie modules
Tensor products of Lie modules carry natural Lie module structures.
## Tags
lie module, tensor product, ... |
591a1fd165345cf98d1de270131dfd4348e343db | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/vector/mem.lean | 458960d34cc63f257ffe22426ba964dfefec2f95 | [
"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 | 2,894 | lean | /-
Copyright (c) 2022 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import data.vector.basic
/-!
# Theorems about membership of elements in vectors
This file contains theorems for membership in a `v.to_list` for a vector `v`.
Having the leng... |
5d79aada9b7bd27911cd5a7b4dcaf27aa73ef2c2 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /12_Axioms.org.9.lean | 25b77734434ea74d98cf031ae541492251fc6f95 | [] | 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 | 221 | lean | import standard
import data.prod
open prod prod.ops quot
private definition eqv {A : Type} (p₁ p₂ : A × A) : Prop :=
(p₁.1 = p₂.1 ∧ p₁.2 = p₂.2) ∨ (p₁.1 = p₂.2 ∧ p₁.2 = p₂.1)
infix `~` := eqv
|
6663b818e5452d171bc85b259ab745eb40fcc526 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/sort_auto.lean | 85d2dc4b931e1b55cf54bfcbb7f94875b968d07d | [] | 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 | 9,048 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.perm
import Mathlib.data.list.chain
import Mathlib.PostPort
universes u_1 uu
name... |
f7c55a54673a74f3b513ca0f0be1a9a2b7ab7713 | 618003631150032a5676f229d13a079ac875ff77 | /src/linear_algebra/projection.lean | 8fe301f33c399c2f3fc800486f703c2ea8119176 | [
"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 | 9,023 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import linear_algebra.basic
/-!
# Projection to a subspace
In this file we define
* `linear_proj_of_is_compl (p q : submodule R E) (h : is_compl p q)`: the project... |
f9d8bff3981d85ceaf4982b5e3d2e698fe8eecf7 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/match_expr.lean | 04b8aa60f6fdeba78619696ec8a98259763a0367 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 407 | lean | open tactic
axiom Sorry : ∀ {A:Sort*}, A
example (a b c : nat) (h₀ : c > 0) (h₁ : a > 1) (h₂ : b > 0) : a + b + c = 0 :=
by do
[x, y] ← match_target_subexpr `(λ x y : nat, x + y) | failed,
trace "------ subterms -------",
trace x, trace y,
(h, [z]) ← match_hypothesis `(λ x : nat, x > 1) | failed,
trace "--- ... |
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