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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ac5177426b10c1b1ef0dd981505f90b11240e887 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Meta/WHNF.lean | fb590464f56e78d370eaf10d3b68ad6f615491c0 | [
"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 | 5,893 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.AuxRecursor
import Init.Lean.Util.WHNF
import Init.Lean.Meta.Basic
import Init.Lean.Meta.LevelDefEq
namespace Lean
namespace Meta
... |
a9acd052b039ffa4b63dabfb2012815dac2de820 | 01f6b345a06ece970e589d4bbc68ee8b9b2cf58a | /src/Fontaine_period_rings.lean | 22460bba031a9390ac57c87fe9e2380696cb341e | [] | no_license | mariainesdff/norm_extensions_journal_submission | 6077acb98a7200de4553e653d81d54fb5d2314c8 | d396130660935464fbc683f9aaf37fff8a890baa | refs/heads/master | 1,686,685,693,347 | 1,684,065,115,000 | 1,684,065,115,000 | 603,823,641 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,619 | lean | /-
Copyright (c) 2023 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import field_theory.is_alg_closed.algebraic_closure
import data.polynomial.laurent
import ring_theory.witt_vector.basic
import ring_t... |
4c8d30298924e9b04754a016459ae9b1ad3672d1 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/struct_inst_exprs.lean | 8c85a3d77f7034ef41ca3215790f997ecc54e2ea | [
"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 | 471 | lean | open nat prod
set_option pp.coercions true
definition s : nat × nat := pair 10 20
structure test :=
(A : Type) (a : A) (B : A → Type) (b : B a)
definition s2 := ⦃ test, a := (3:nat), b := (10:nat) ⦄
eval s2
definition s3 := {| test, a := (20:nat), s2 |}
eval s3
definition s4 := ⦃ test, A := nat, B := λ a, nat, ... |
11d8cb359ebae4144572f01308b5acd196d66c6b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/borel_space_auto.lean | 9d8ce302d6914aa59c8d177287f9f03cb4d4da4a | [] | 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 | 70,980 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.measure_space
import Mathlib.measure_theory.ae_measurable_s... |
f9c0337fa86b8632b3d4d4ca03b357ec8122ea37 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/algebra/algebra.lean | 7057336c41ad8fa027fbaa69c125ded1e2e4ae09 | [
"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 | 6,340 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra.basic
import topology.algebra.module.basic
import ring_theory.adjoin.basic
/-!
# Topological (sub)algebras
A topological algebra o... |
ce4347e1e223f1d378fec9acd21996480da19121 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/homotopy/cellcomplex.hlean | ad21d442bc74fdd83f0fe42c823bbba36be6d5ea | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,877 | hlean | /-
Copyright (c) 2015 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz
-/
import types.trunc homotopy.sphere hit.pushout
open eq is_trunc is_equiv nat equiv trunc prod pushout sigma sphere_index unit
-- where should this be?
definition ... |
6f38b017f1141662b98e8c9f186e96cd13d2aa19 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/directed.lean | 24adbf7271e4d44f6745c7d03678545c73b15b74 | [
"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 | 3,651 | 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 order.lattice
import data.set.basic
/-!
# Directed indexed families and sets
This file defines directed indexed families and directed sets. An indexed family... |
4bfe1b51132aeff229b27dc8a2f07000745e87b2 | 0f5090f82d527e0df5bf3adac9f9e2e1d81d71e2 | /src/jalex/scratch.lean | 9a7b29055628e5084976e3d3ed05f3360714179f | [] | no_license | apurvanakade/mc2020-lean-projects | 36eb42c4baccc37183635c36f8e1b3afa4ec1230 | 02466225aa629ab1232043bcc0a053a099fdb939 | refs/heads/master | 1,688,791,717,534 | 1,597,874,092,000 | 1,597,874,092,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 791 | lean | import tactic
section trichotomy
open tactic expr
meta def tactic.trichotomy (a b : expr) (h : name) : tactic unit :=
do v ← mk_app ``lt_trichotomy [a, b],
rcases none (pexpr.of_expr v)
[[rcases_patt.one h], [rcases_patt.one h], [rcases_patt.one h]]
namespace tactic.interactive
setup_tactic_parser
open interactiv... |
00aa0f383e988e636fe9d98e32e4ba4b1c1e5893 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/compiler_erase_bug.lean | 996f184978538b466da4a06f12c775ce069d9a95 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 151 | lean | def f (h : α = { n : Nat // True }) (a : α) : Nat :=
(cast h a).casesOn (motive := fun _ => Nat) fun val prop => val
#eval f rfl ⟨42, ⟨⟩⟩
|
ce7134b325d5c897636f20f7cdb17b3e9e278fe9 | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/roots_of_unity.lean | d4ba7b344f82ffff464ff63a7b0de265814e18d1 | [
"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 | 47,533 | 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 algebra.char_p.two
import algebra.ne_zero
import data.polynomial.ring_division
import field_theory.finite.basic
import field_theory.minpoly.gcd_monoid
import ... |
b475e8fa2ee04339e72bce7d43b1a144776da021 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/multilinear_auto.lean | bb8edbf63ffab9ed26859a153d679d94127bbae5 | [] | 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 | 32,524 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.algebra.module
import Mathlib.linear_algebra.multilinear
import Mathlib.Post... |
4179fd8e10e144be398b16717fae403f359f365e | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/data/set.lean | aaa0a2f12e19de79e546bb765766ecc9d832e3ab | [
"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 | 2,117 | lean | ------------------------------------------------------------------------------------------------------- Copyright (c) 2014 Jeremy Avigad. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Jeremy Avigad, Leonardo de Moura
--------------------------------------------... |
3e5b4e5acc5517e28b7a4f3b39bf9002f58bf74f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Rewrite.lean | 449430f4f377324f08c6b60a8e54e01ad903ce18 | [
"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 | 3,257 | 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.Meta.AppBuilder
import Lean.Meta.MatchUtil
import Lean.Meta.KAbstract
import Lean.Meta.Check
import Lean.Meta.Tactic.Apply
namespace Lean.Meta
... |
73fc04a88ae32e9ea9d412904bff636020cf3b6b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/category/Top/basic.lean | 0db070ce66b0ca3576712bf9b9f2412cb5325cc9 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 1,683 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Scott Morrison, Mario Carneiro
-/
import category_theory.concrete_category.unbundled_hom
import topology.continuous_map
import topology.opens
open category_theory
open... |
3bda3b30054e2c2c84927cb8a0efcdf4577b8348 | 874a8d2247ab9a4516052498f80da2e32d0e3a48 | /pigeonhole_init.lean | 69271a56d1bf7126e695d1b39dfe7cf2289c5c1f | [] | no_license | AlexKontorovich/Spring2020Math492 | 378b36c643ee029f5ab91c1677889baa591f5e85 | 659108c5d864ff5c75b9b3b13b847aa5cff4348a | refs/heads/master | 1,610,780,595,457 | 1,588,174,859,000 | 1,588,174,859,000 | 243,017,788 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,186 | lean |
def injective {X Y} (f : X → Y)
:= ∀ x₁ x₂, f x₁ = f x₂ → x₁ = x₂
def range {X Y} (f : X → Y)
:= { y | ∃ x, f x = y }
/--
Type of pairs (k,p) where k
is a natural number and p is a witness to the proof that k < n.
-/
def finite_subset (n : ℕ) := Σ' k, k < n
def lift_finite (m n : ℕ) (p : m < n) : finite_... |
385c14c81f7702fc24af215764702cfd1d0ae675 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/set_theory/cardinal_auto.lean | acc2be484e97e5222238156cedcbcc825c573b1b | [] | 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 | 34,464 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.countable
import Mathlib.set_theory.schroeder_bernstein
import Math... |
fa6e3959d07212e03320511f1670a61852677664 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/floor.lean | 20f848d0fbbf27ab9a252830693379d884a361f2 | [
"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 | 9,849 | 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 data.int.basic
import tactic.linarith tactic.abel
/-!
# Floor and Ceil
## Summary
We define `floor`, `ceil`, and `nat_ceil` functions on li... |
125b35783bbd6995bb00c41bf73e7647959393a4 | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/linear_algebra/basic.lean | 72f671b92c678430d0022aa006fde8256130cde0 | [
"Apache-2.0"
] | permissive | skbaek/mathlib | 3caae8ae413c66862293a95fd2fbada3647b1228 | f25340175631cdc85ad768a262433f968d0d6450 | refs/heads/master | 1,588,130,123,636 | 1,558,287,609,000 | 1,558,287,609,000 | 160,935,713 | 0 | 0 | Apache-2.0 | 1,544,271,146,000 | 1,544,271,146,000 | null | UTF-8 | Lean | false | false | 59,444 | 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
Basics of linear algebra. This sets up the "categorical/lattice structure" of
modules, submodules, and linear maps.
-/
import algebra.pi... |
91bdd35a6bfdf9ddf546379c24a4ed3b4bf5a692 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/topology/algebra/ordered.lean | 93d5e809198d55b96101fd7893122e707e4df7bc | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 167,211 | 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, Yury Kudryashov
-/
import tactic.linarith
import tactic.tfae
import algebra.archimedean
import algebra.group.pi
import algebra.ordered_ring
import order... |
1c33920ce4f1632d37ba74e4469237ee0606f0d3 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/nat/sqrt.lean | 733e2c3e91b10f3aa9d512941bc4d08bd5e32fe4 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,618 | 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
This file defines an efficient binary implementation of the squ... |
66d7702483367eac4dc027a1609edc5d82842578 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/tactic/omega/int/main.lean | ec6f744da50df1c8a681c0a54aca37b5fa5b0f41 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 2,382 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Main procedure for linear integer arithmetic.
-/
import tactic.omega.prove_unsats
import tactic.omega.int.dnf
open tactic
namespace omega
namespace int
open_locale omega.int
... |
4135316a1dd13cd9d5175a17f2b20649d32376c6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/nat/cast/with_top.lean | d17168e115c7a54106a47726d8de80a565200173 | [
"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 | 629 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.order.monoid.with_top
import data.nat.basic
/-!
# Lemma about the coercion `ℕ → with_bot ℕ`.
An orphaned lemma about casting from `ℕ` to `with_bot ℕ`... |
887a930256cf40ad4811426496a404f03c09118a | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_66.lean | bcf2f785f0e4dfc6f56eee9009a3be435e1ce07d | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 151 | lean | def double (x : ℤ) : ℤ := 2 * x
def square (y : ℤ) : ℤ := y * y
def avg (x y : ℤ) : ℤ := (x + y)/2
-- BEGIN
#check double
#check avg
-- END |
d189db1ddda02e3f394e9ba2643a3cdaa2afa7a9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/abelian/pseudoelements.lean | 00d063cf3461534210cf56bc98a1df75e798bace | [
"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 | 20,140 | 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.abelian
/-!
# Pseudoelements in abelian categories
A *pseudoelement* o... |
54107d1a21631b529bd498e8ff94af42f9b20a14 | 69bc7d0780be17e452d542a93f9599488f1c0c8e | /11-12-2019.lean | a0c218d60d0f6eb02481de92a28cccfb16fe11b8 | [] | 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 | 3,767 | lean | /-
There are two key things we do with proofs.
(1) We build them
(2) We use them
In logic, the basic rules for building,
or constructing, proofs go by the name
of introduction rules. The basic rules
for using proofs are called elimination
rules.
Each *form* of proposition has its own
introduction and elimination rul... |
055ce2fd3e52e54c7be02e0f6dc58402a896fae1 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/homotopy/smash.hlean | aa6ca9857f6db477f8f2bb8dbe8ba332ab554044 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 6,766 | hlean | /-
Copyright (c) 2016 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
The Smash Product of Types.
One definition is the cofiber of the map
wedge A B → A × B
However, we define it (equivalently) as the pushout of... |
bcc5335caa416363f1ef2086a4a9a9c31084ae1a | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Tactic/Simp/SimpLemmas.lean | 5948fb09a2f93c8b07676c4216396fdc84189fe2 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 12,392 | 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.ScopedEnvExtension
import Lean.Util.Recognizers
import Lean.Meta.DiscrTree
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.AuxLemma
namespac... |
b147765502f953df6bc9522b263894f2f94a621a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/metric_space/isometry.lean | 57f57fbfa6071f1f28d96044f14ea9d5106b011a | [
"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 | 14,085 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
-/
import topology.metric_space.antilipschitz
/-!
# Isometries
We define isometries, i.e., maps between emetric spaces th... |
ae9e9318918ff0f4b0c93ee0818a9a33c876fa09 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/order/well_founded_set.lean | 37a675eb498cbcdc562b9856b5115ccf191e6458 | [
"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 | 29,953 | 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.antichain
import order.order_iso_nat
import order.well_founded
import tactic.tfae
/-!
# Well-founded sets
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> ... |
1bf10f8856de599de843512ee0d84d4648bb8e58 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/deriving/lakefile.lean | 2567ab7566b52a96c34379b07fc075b371e2d0d6 | [
"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 | 96 | lean | import Lake
open System Lake DSL
package user_deriving
@[default_target] lean_lib UserDeriving
|
17a56c3138203b89c0bf9a444478a35279046487 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /analysis/measure_theory/measurable_space.lean | beac0f33a36e32383cae3c1cd359312fc958cb39 | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,885 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Measurable spaces -- σ-algberas
-/
import data.set data.set.disjointed data.finset order.galois_connection data.set.countable
open classical set lattice
local attribute... |
a406100752d64abf102b9476d543569c32a4a3b0 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/algebra/group_completion.lean | 0a1e17401579334ce02ad104bebabd6758ce4bbc | [
"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 | 5,516 | 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
Completion of topological groups:
-/
import topology.uniform_space.completion topology.algebra.uniform_group
noncomputable theory
section group
open un... |
cec7aad5c02f3af8ab14c70d70db6db78035441b | 90bd8c2a52dbaaba588bdab57b155a7ec1532de0 | /src/covering_space/def.lean | 0defdef36a42e5d0e09256387289e1269c452367 | [
"Apache-2.0"
] | permissive | shingtaklam1324/alg-top | fd434f1478925a232af45f18f370ee3a22811c54 | 4c88e28df6f0a329f26eab32bae023789193990e | refs/heads/master | 1,689,447,024,947 | 1,630,073,400,000 | 1,630,073,400,000 | 381,528,689 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 683 | lean | import topology.continuous_function.basic
import topology.local_homeomorph
import locally_path_connected
variables {X Y X' : Type _} [topological_space X] [topological_space Y]
structure is_covering_map (p : C(Y, X)) :=
(U : X → set X)
(is_open_U : ∀ x, is_open (U x))
(mem_U : ∀ x, x ∈ U x)
(cover : X → set (set Y))
... |
869cdc3414fe086a078b831d95f2f39540bfdb95 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/algebra/group.hlean | 8790257182f426489290c45b2597697e1fc7dc83 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 7,493 | hlean | /-
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
Various multiplicative and additive structures. Partially modeled on Isabelle's library.
-/
import algebra.inf_group
open eq eq.ops -- note: ⁻¹ wil... |
4879093f27449a282cf5df6327d87232b364d7d9 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/struct_bug1.lean | 304ef761cf99e92efa4a2f1193c3ca7b1e975034 | [
"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 | 194 | lean | variable (A : Type)
structure foo (a : A) :=
(eqpr : a = a)
context
parameter (B : Type)
structure foo2 (b : B) :=
(eqpr : b = b)
check foo2
definition tst : B → Type₁ := foo2
end
|
cd085b23de5b2b1ee60f24cae16b45992126a13e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/bitvec/core.lean | 25758c82e06f95c5e59e78de5df76e189e24e9d9 | [
"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 | 8,753 | lean | /-
Copyright (c) 2015 Joe Hendrix. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joe Hendrix, Sebastian Ullrich
-/
import data.vector.basic
import data.nat.basic
/-!
# Basic operations on bitvectors
This is a work-in-progress, and contains additions to other theori... |
c4ac487e1a1f04e7dcde7a3258f8693c7b364093 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/subset_properties.lean | 239655860ccb3bdb9c6aa8b40673b42215022b17 | [
"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 | 54,452 | 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, Yury Kudryashov
-/
import topology.continuous_on
/-!
# Properties of subsets of topological spaces
## Main definitions
`compact`, `is_clopen`, `is_ir... |
5814739a6bf8935019459de0b54dc550264a343a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/nameRepr.lean | 5c0d3a9a504e4c16d5bc4e0d4fa22b9317f000a2 | [
"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 | 315 | lean | #eval Lean.Name.mkStr (Lean.Name.mkNum `foo 2) "bla"
#eval `foo.bla
#eval Lean.Name.anonymous
#eval Lean.Name.mkNum Lean.Name.anonymous 11
#eval Lean.Name.mkNum `foo.bla 5
#eval Lean.Name.mkStr Lean.Name.anonymous "abc"
#eval Lean.Name.mkStr Lean.Name.anonymous "--->"
#eval Lean.Name.mkStr Lean.Name.anonymous "2"
|
f3a37018f5359af7eeaeadc5171ea2e47aa029ee | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/rel.lean | 3d2c2de0970153a102b16a500a0c4c4bfee14122 | [
"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 | 6,088 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Operations on set-valued functions, aka partial multifunctions, aka relations.
-/
import tactic.basic data.set.lattice order.complete_lattice
variables {α : Type*} {β : ... |
1855678e43859feb4ad9b6da477fbfa67e7a4ef4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/eigenspace/minpoly.lean | ada135c892033115af8451dba81a1c59ec085122 | [
"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 | 3,766 | lean | /-
Copyright (c) 2020 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import linear_algebra.eigenspace.basic
import field_theory.minpoly.field
/-!
# Eigenvalues are the roots of the minimal polynomial.
> THIS FILE IS SYNCHRON... |
c246972e100543c542e0933e0927c8d867601ebe | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/polynomial/content.lean | 896976c90e649e903e6e0318d79d8059759decaf | [
"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 | 18,144 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.gcd_monoid.finset
import data.polynomial.field_division
import data.polynomial.erase_lead
import data.polynomial.cancel_leads
/-!
# GCD structures on ... |
91698145358abc207c6c03651136078be2f73122 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/nat/choose/vandermonde.lean | b0a4ea8aa9c699d17e0ea35f26e6b1150b536aaf | [
"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 | 1,136 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.nat.choose.basic
import ring_theory.polynomial.basic
/-!
# Vandermonde's identity
In this file we prove Vandermonde's identity (`nat.add_choose_eq`):
... |
86ad8f0ccf82e658c735d1f85bfe2b820770ae4a | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/dfinsupp.lean | 9c80fdbc84fd3bac4b501981ffa1172a2ec9c3ab | [
"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 | 32,837 | 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.pi_instances
/-!
# Dependent functions with finite support
For a non-dependent version see `data/finsupp.lean`.
-/
universes u u₁ u₂ v v₁ v₂ v... |
265671dde8e7a651a8b90b5f6984a0ce093c1ba2 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/list/set.lean | 770464b31b2def9ae0ecc01c688000f093efff1b | [
"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 | 37,303 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Set-like operations on lists
-/
import data.list.basic data.list.comb
open nat function decidable helper_tactics eq.ops
namespace list
section erase
variable {A ... |
936424b38f24b878b170641174d8fa429bb6106b | 77cc0c0aa84a25574cde49a43e1ea911e4992d9b | /Lean Proof Blowfish.lean | fc965f20dcd6547067abdfb368827208974fba63 | [] | no_license | GGFSilva/LeanCryptographyProof | 41ed2cb4d67949f2e2dc6eba63d82c786aa179d3 | bea98d6201546f1e38a08fd3eb7be494e589b006 | refs/heads/master | 1,621,411,996,962 | 1,585,665,794,000 | 1,585,665,794,000 | 251,599,965 | 2 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 13,358 | lean | variable data : Type
variables
L0 L1 L2 L3 L4 L5 L6 L7 L8
L9 L10 L11 L12 L13 L14 L15 L16
R0 R1 R2 R3 R4 R5 R6 R7 R8
R9 R10 R11 R12 R13 R14 R15 R16
L0_D L1_D L2_D L3_D L4_D L5_D L6_D L7_D L8_D
L9_D L10_D L11_D L12_D L13_D L14_D L15_D L16_D
R0_D R1_D R2_D R3_D R4_D R5_D R6... |
75619f09c84051f844f5294fcb2d5e73ed537053 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Compiler/ExportAttr.lean | c98c777471ed323ae89f89146a4226a3a2e240b0 | [
"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 | 1,441 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Attributes
namespace Lean
private def isValidCppId (id : String) : Bool :=
let first := id.get 0;
first.isAlpha && (id.toSubstri... |
142a867e7c046577c24c2040ee188d5fc8802b8c | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /bluejam/group_theory.lean | 118ccc1bcaeb7f98d6f422629cadbb5b971701e0 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,794 | lean | namespace hidden
constants (α : Type) (op : α → α → α)
notation a `*` b := op a b
def identity_element (e : α) := ∀ x : α, e * x = x ∧ x * e = x
-- We don't need to define this axiom, because we'll define an identity element later
axiom exists_idetity_element : ∃ e : α, identity_element e
-- Define an element e is i... |
4d3256a4526aac2d86acdb5d130ded4a8c56a33d | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/print_meta.lean | 92473074ad78dde6fcaca1e5f5488deb217011e8 | [
"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 | 19 | lean | print tactic.intro
|
d4866021da3a51972215b871b69cb5c08c831a42 | 92e157ec9825b5e4597a6d715a8928703bc8e3b2 | /src/mywork/Lecture Notes.lean | 7d95e71d7cc7eaeeab51411b35a1da41a4c739a6 | [] | no_license | exb3dg/cs2120f21 | 9e566bc508762573c023d3e70f83cb839c199ec8 | 319b8bf0d63bf96437bf17970ce0198d0b3525cd | refs/heads/main | 1,692,970,909,568 | 1,634,584,540,000 | 1,634,584,540,000 | 399,947,025 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,974 | lean | /-
*LECTURE 1*
- Reasoning
-- Inductive: derive generalized predictive models from given sets of observations
-- Abductive: guess a hypothysis based on given information, test and adjust accordingly
-- Deductive: Assume that certain given propositions (axioms) are true (or have proofs)
- Combine truths/proofs of s... |
128310529c731f8e0d58e7b8a99b9c0e9a1700b7 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/projectJoinTranspose.lean | 785859e12bf2795e43c424e7d89e0f2845859f89 | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 959 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
theorem rule:
forall (Γ scm_s2 scm_s1: Schema) (rel_r2: relation scm_s2) (rel_r1: relation scm_s1) (s2_a : Column datatypes.int scm_s2... |
8c102b84ecb240ba3b8a5a255fbf0509f37065b7 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/u_eq_max_u_v.lean | 132f33e372bf6c49cb0545bfb041f79ab0b89e7f | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 3,116 | lean | universe variables u v u1 u2 v1 v2
set_option pp.universes true
open smt_tactic
meta def blast : tactic unit := using_smt $ intros >> add_lemmas_from_facts >> iterate_at_most 3 ematch
notation `♮` := by blast
structure semigroup_morphism { α β : Type u } ( s : semigroup α ) ( t: semigroup β ) :=
(map: α → β)
(mu... |
394d6ad789ad04a991afb2d89a5e2bae9e5cbead | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/logic/weak_fan.lean | e6b2b0ba84f421ff78b21139479b22888e01e6a7 | [
"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 | 4,854 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
This file is based on Coq's WeakFan.v file
A constructive proof of a non-standard version of the weak Fan Theorem
in the formulation of which infinite paths a... |
2e436b7ebd244f877c9f84de2b8688e1cad0859d | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-110.lean | 3d731274d0a4ed5ac8a7a28f56a57cd26fb3cc4f | [
"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 | 347 | 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.complex.basic
example (q e : ℂ) (h₀ : q = 2 - 2 * complex.I) (h₁ : e = 5 + 5 * complex.I) : q * e = 20 :=
begin
rw [h₀, h₁],
ring,
rw [pow_two, complex.I_mul... |
eb589d6bc4da24c6e3722991a2658e6e72b97468 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/category/PartialOrder.lean | ff9898438a525186b1941a014f9e742005775f82 | [] | 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 | 1,341 | 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.order.category.Preorder
import Mathlib.PostPort
universes u_1
namespace Mathlib
/-! # C... |
28c10be59df38e57b28f7b5f02f6d05203add561 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Simp/Main.lean | 5fdc9310d26e7427b238673e4bc19984964f3c0d | [
"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 | 44,158 | 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.Meta.Transform
import Lean.Meta.Tactic.Replace
import Lean.Meta.Tactic.UnifyEq
import Lean.Meta.Tactic.Simp.Rewrite
namespace Lean.Meta
namespa... |
f6c9081c60a7e43057145a1ae10a5828fe44b5af | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/ideal/basic.lean | 31df5d82e33f0f91260005cfa33c07df408e1f8c | [
"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 | 19,639 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.zorn
import order.atoms
import order.compactly_generated
import tactic.abel
/-!... |
6bd837ed221c39fd1061b2c2bf397a6d64339ac1 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/beginEndAsMacro.lean | 613897971659fb881bea0dbaae0983de9f6e7729 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 452 | lean | /- ANCHOR: doc -/
open Lean in
macro "begin " ts:tactic,*,? "end"%i : term => do
-- preserve position of the last token, which is used
-- as the error position in case of an unfinished proof
`(by { $[$ts:tactic]* }%$i)
theorem ex1 (x : Nat) : x + 0 = 0 + x :=
begin
rw Nat.zero_add,
rw Nat.add_zero,
e... |
c177e9a2f4c4ad3b82031af16f9821692c4baab7 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0506.lean | 5c5e8dba58db80d4cb3246718b4e0fcd65584276 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 289 | lean | meta def my_tac : tactic unit :=
`[ repeat { { left, assumption } <|> right <|> assumption } ]
example (p q r : Prop) (hp : p) : p ∨ q ∨ r :=
by my_tac
example (p q r : Prop) (hq : q) : p ∨ q ∨ r :=
by my_tac
example (p q r : Prop) (hr : r) : p ∨ q ∨ r :=
by my_tac
|
690b53afeeb99b6e9efb16774a4d01f0676ffdf3 | 5ca7b1b12d14c4742e29366312ba2c2ef8201b21 | /src/game/world10/level7.lean | 96bfff66b3bdc37a5ab09e71238563a622d04966 | [
"Apache-2.0"
] | permissive | MatthiasHu/natural_number_game | 2e464482ef3001863430b0336133b6697b275ba3 | 2d764f72669ae30861f6a1057fce0257f3e466c4 | refs/heads/master | 1,609,719,110,419 | 1,576,345,737,000 | 1,576,345,737,000 | 240,296,314 | 0 | 0 | Apache-2.0 | 1,581,608,357,000 | 1,581,608,356,000 | null | UTF-8 | Lean | false | false | 495 | lean | import game.world10.level6 -- hide
namespace mynat -- hide
/-
# Inequality world
## Level 7: `le_zero`
We proved `add_right_eq_zero` back in advanced addition world.
Note that you can do things like `have h2 := add_right_eq_zero _ _ h1`
if `h1 : a + c = 0`.
-/
/- Lemma
For all naturals $a$, if $a\le 0$ then $a = 0$... |
2794a45cb30238ed7061069539754f7d521e78d0 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Meta/Tactic/Simp/Main.lean | d51a741618a2517a4597555ad7a7cd53930a1927 | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 43,760 | 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.Meta.Transform
import Lean.Meta.Tactic.Replace
import Lean.Meta.Tactic.UnifyEq
import Lean.Meta.Tactic.Simp.Rewrite
namespace Lean.Meta
namespa... |
261405e4349b27fa312aed5904e91702fef0113e | ed544fdbb470075305eb2a01b0491ce8a6ba05c8 | /src/certigrad/prove_model_ok.lean | d729c1c2f42a95fb569c6c69ea5c185602c60ebd | [
"Apache-2.0"
] | permissive | gazimahmud/certigrad | d12caa30c6fc3adf9bb1fcd61479af0faad8b6c3 | 38cc6377dbd5025eb074188a1acd02147a92bdba | refs/heads/master | 1,606,977,759,336 | 1,498,686,571,000 | 1,498,686,571,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,932 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Tactics to prove specific models satisfy the preconditions of backprop_correct.
-/
import data.list.set .tfacts .graph .predicates .expected_value .reparam .kl .tactics .p... |
c5a1aa388a625010b78fb7ae327d1b5ed68b2fc0 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/section_var_bug.lean | acf8b85cc5223d61e5e6859b022ee6b48f575ddd | [
"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 | 214 | lean |
section
variable {A : Type}
variable [s : setoid A]
variable {B : quot s → Type}
include s
attribute [reducible]
protected definition ex (f : Π a, B ⟦a⟧) (a : A) : Σ q, B q :=
sigma.mk ⟦a⟧ (f a)
end
|
34d53a979ee5fdc69d881d68062d9065f889d4fe | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/preserves/functor_category.lean | 60bc65f2b51a35840791b6035393737d704b6fc9 | [
"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 | 2,553 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.presheaf
import category_theory.limits.functor_category
import category_theory.limits.preserves.shapes.binary_products
/-!
# Preservation o... |
383e21d7550e2743c05b86aed17523f9d7618276 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/trace_call_stack_segfault.lean | 154993cd36bcbba74779093df9c66fed8258e329 | [
"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 | 42 | lean | open tactic
run_command trace_call_stack
|
b742916075a8dfc0135bbe727ec56191ee353305 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast4.lean | 2126eec67dc40843fb14dc438a4df1fd6067d697 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 278 | lean | lemma T1 (a b : Prop) : false → a :=
by blast
reveal T1
print T1
lemma T2 (a b c : Prop) : ¬ a → b → a → c :=
by blast
reveal T2
print T2
example (a b c : Prop) : a → b → ¬ a → c :=
by blast
example (a b c : Prop) : a → b → b → ¬ a → c :=
by blast
|
d9a061d14a0e708df9c2dc0e994f1a4af4fae326 | a3416b394f900e6d43a462113bf00eecea016923 | /src/smooth.lean | 825a155915b9e5aee24757f84bac987dc7449973 | [] | no_license | Nolrai/non-standard | efe17e1e97db75ec1a26aed2623e578ec8881c51 | 2a128217005a0c9eef53e7c24c6637d0edcf3151 | refs/heads/master | 1,682,477,161,430 | 1,604,790,441,000 | 1,604,790,441,000 | 359,366,919 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,523 | lean | import algebra.ring
import algebra.field
import order
import tactic
universe u
def nilpotent {α} [semigroup α] [has_zero α] (x : α) := x * x = 0
def D (α : Type u) [semigroup α] [has_zero α] := {x : α // nilpotent x}
instance D_has_coe_to_α (α : Type u) [semigroup α] [has_zero α] : has_coe (D α) α :=
⟨λ d, d.val⟩
... |
f65ef5c0918a48fdbffceb6223f68be32c90b998 | bb31430994044506fa42fd667e2d556327e18dfe | /src/geometry/euclidean/angle/oriented/basic.lean | 8f1c052d56586a63c21b074f891d08fe6b29fd2a | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 68,110 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Heather Macbeth
-/
import analysis.inner_product_space.two_dim
import analysis.special_functions.complex.circle
import geometry.euclidean.angle.unoriented.basic
/-!
# Orie... |
0d16f12cf208311e5e8938cbd4d2bf50404b72a7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebraic_topology/dold_kan/n_reflects_iso.lean | d9cd2e612a1e063402c00d970aa1c43e771a6b67 | [
"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 | 5,240 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.functor_n
import algebraic_topology.dold_kan.decomposition
import category_theory.idempotents.homological_complex
import category_theory.ide... |
f203d05acd8e899449eb63cc7c23b0a7f6e0b43d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebraic_geometry/Scheme.lean | 5ab678069a1f86629e10bfe0be9c994f3814998a | [
"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 | 4,758 | 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 algebraic_geometry.Spec
/-!
# The category of schemes
A scheme is a locally ringed space such that every point is contained in some open set
where there is a... |
a014c5fab1e885fade58f12fdc9aa38117d15a4f | b328e8ebb2ba923140e5137c83f09fa59516b793 | /src/Lean/Elab/Inductive.lean | 5e5ba3f82ee99eafde55f4e506136b740061a9d2 | [
"Apache-2.0"
] | permissive | DrMaxis/lean4 | a781bcc095511687c56ab060e816fd948553e162 | 5a02c4facc0658aad627cfdcc3db203eac0cb544 | refs/heads/master | 1,677,051,517,055 | 1,611,876,226,000 | 1,611,876,226,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,938 | 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.ReplaceLevel
import Lean.Util.ReplaceExpr
import Lean.Util.CollectLevelParams
import Lean.Util.Constructions
import Lean.Meta.SizeOf
import... |
f04f14803f76b47752a9a2d93a081e192614cc70 | f09e92753b1d3d2eb3ce2cfb5288a7f5d1d4bd89 | /src/valuations.lean | 860213f1dd05863bce957afa88c30d5873a6f407 | [
"Apache-2.0"
] | permissive | PatrickMassot/lean-perfectoid-spaces | 7f63c581db26461b5a92d968e7563247e96a5597 | 5f70b2020b3c6d508431192b18457fa988afa50d | refs/heads/master | 1,625,797,721,782 | 1,547,308,357,000 | 1,547,309,364,000 | 136,658,414 | 0 | 1 | Apache-2.0 | 1,528,486,100,000 | 1,528,486,100,000 | null | UTF-8 | Lean | false | false | 15,328 | lean | import algebra.group_power
import set_theory.cardinal
import ring_theory.ideals
import data.finsupp
import group_theory.quotient_group
import tactic.tidy
import for_mathlib.linear_ordered_comm_group
local attribute [instance, priority 0] classical.prop_decidable
noncomputable theory
universes u₁ u₂ u₃ -- v... |
7e09ab8623ecf92383117bf7fb4b9e32f35c064b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Server/GoTo.lean | a47a55c5080d3691a2debec608aff9f7f5090d66 | [
"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 | 1,708 | lean | /-
Copyright (c) 2022 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Lars König, Wojciech Nawrocki
-/
import Lean.Data.Json.FromToJson
import Lean.Util.Path
import Lean.Server.Utils
import Std.System.Uri
namespace Lean.Server
op... |
3c5f6f4f4ca4e546080c460539d8147464633801 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/simple_graph/regularity/energy.lean | 63c70714dcec0a9969cc1057559381b1bebb9436 | [
"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 | 1,621 | lean | /-
Copyright (c) 2022 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 algebra.big_operators.order
import combinatorics.simple_graph.density
/-!
# Energy of a partition
This file defines the energy of a p... |
028bcb8db139071fb17ec4d27409989b415e1d94 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/fintype/sort.lean | eae008d9124d9e497c260ef61a61cc62643d968c | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 787 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.fintype.basic
import data.finset.sort
variables {α : Type*}
open finset
/-- Given a linearly ordered fintype `α` of cardinal `k`, the order isomorphism
... |
9f63c8b4ff2d2d93f0db0d7329d8060313eaf5cd | 34c1747a946aa0941114ffca77a3b7c1e4cfb686 | /src/sheaves/locally_ringed_space.lean | 92341493b9eb5ffe615de7459e4630881e17838c | [] | no_license | martrik/lean-scheme | 2b9edd63550c4579a451f793ab289af9fc79a16d | 033dc47192ba4c61e4e771701f5e29f8007e6332 | refs/heads/master | 1,588,866,287,405 | 1,554,922,682,000 | 1,554,922,682,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,719 | lean | import topology.basic
import ring_theory.localization
import sheaves.presheaf_maps
import sheaves.presheaf_of_rings_maps
import sheaves.presheaf_of_rings
import sheaves.sheaf_of_rings
import sheaves.stalk_of_rings
universes u v w
open topological_space
-- Locally ringed spaces.
section locally_ringed_spaces
struct... |
7c9e9e4b37e6873a50807ed433d3e09773c18613 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/analysis/calculus/mean_value.lean | 90b0bacc8d90d0c47869461dc19381f5a3203654 | [
"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 | 59,343 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.local_extr
import analysis.convex.topology
/-!
# The mean value inequality and equalities
In this file we prove the ... |
c3d13974661210c9037c2c6da01f8bc58fbfb134 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/nat/basic.lean | a3c9673419154a9c0a94243aaffb47194cc74a3d | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 67,608 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.order_functions
import data.set.basic
/-!
# Basic operations on t... |
cceac7150c162c83e6abeefddd2850aa3f30489d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/playground/reelab.lean | 4d5c41ed09b0fa4bae758dd387882a12e9cdf195 | [
"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 | 2,099 | lean | import Init.Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
instance : HasMonadLift MetaM MetaIO :=
⟨fun α x ⟨env, opts⟩ => Prod.fst <$> IO.runMeta x env { opts := opts }⟩
private def liftTermElabMSimple {α} (elab : TermElabM α) : MetaM (Except MessageLog α) := do
ctx ← read;
st ← get;
match elab { ctx with fileNam... |
cb78c1fb59cfb1fcd254c68b071ce3478db6cefd | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/affine_space/combination.lean | 8c9c0041d5f352b7bf511fd79b609ced0e541c88 | [
"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 | 31,897 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import algebra.invertible
import data.indicator_function
import linear_algebra.affine_space.basic
import linear_algebra.finsupp
noncomputable theory
open_locale big_oper... |
b64b2e1f054749a0911ad0905bc0a3b5fd11d6f8 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/measure/lebesgue.lean | c8725eac825f375f296de43332dd1a659702c6d7 | [
"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 | 16,765 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.constructions.pi
import measure_theory.measure.stieltjes
/-!
# Lebesgue measure on the real line and on `ℝⁿ`
We construct Leb... |
53cd8973145ef9bcb5e91250b3459fa10fec7c12 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed/field/unit_ball.lean | 79c5537ddf9109bf22663e4da0c08be8e1ab5bfb | [
"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 | 5,071 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth
-/
import analysis.normed.field.basic
import analysis.normed.group.ball_sphere
/-!
# Algebraic structures on unit balls and spheres
In this file we ... |
47915aa4c15442811e191210b8d359afb1e6f5bf | 9dc8cecdf3c4634764a18254e94d43da07142918 | /archive/imo/imo1972_q5.lean | 5664210339a6c5a61a6799ba86f606f075d1f523 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 4,244 | lean | /-
Copyright (c) 2020 Ruben Van de Velde, Stanislas Polu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ruben Van de Velde, Stanislas Polu
-/
import data.real.basic
import analysis.normed_space.basic
/-!
# IMO 1972 Q5
Problem: `f` and `g` are real-valued functions ... |
7bec3adedfedc0c38a25e98562ed142e6056ccb9 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/limits/shapes/constructions/over/default.lean | 77949c8d13aead7b7c4f562dfb9de7bf021b3562 | [
"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 | 1,935 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.limits.shapes.constructions.over.products
import category_theory.limits.shapes.constructions.over.connected
import c... |
882538c5beaead3da960f79caef8634acb400cd4 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world10/level2.lean | 14cbb4e396fe5615f5f37e42337f73d040678d37 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 2,034 | lean | import game.world10.level1 -- hide
namespace mynat -- hide
/-
# Inequality world.
Here's a nice easy one.
## Level 2: le_refl
-/
/- Lemma :
The $\le$ relation is reflexive. In other words, if $x$ is a natural number,
then $x\le x$.
-/
lemma le_refl (x : mynat) : x ≤ x :=
begin [nat_num_game]
use 0,
rw add_ze... |
854a9a4f952e4d0db0ed57a983a5d5607b242b1e | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/linear_algebra/adic_completion.lean | b9c7dc49da4338e87fc1fed8e3091078ef067d39 | [
"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 | 10,123 | 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 algebra.geom_sum
import linear_algebra.smodeq
import ring_theory.ideal.quotient
import ring_theory.jacobson_ideal
/-!
# Completion of a module with respect to an ideal... |
a4c1c38aac1011010b0749fce883988422f79eff | ec62863c729b7eedee77b86d974f2c529fa79d25 | /18/a.lean | 4837ca350812591b88253729084b2b88e2c9d07f | [] | no_license | rwbarton/advent-of-lean-4 | 2ac9b17ba708f66051e3d8cd694b0249bc433b65 | 417c7e2718253ba7148c0279fcb251b6fc291477 | refs/heads/main | 1,675,917,092,057 | 1,609,864,581,000 | 1,609,864,581,000 | 317,700,289 | 24 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,469 | lean | import Lean.Data.Json.Parser
open Lean Lean.Quickparse Lean.Json.Parser
inductive Node
| num : Int → Node
| add : Node → Node → Node
| mul : Node → Node → Node
instance : Inhabited Node := ⟨Node.num 0⟩
def Node.toString
| (Node.num n) => s!"{n}"
| (Node.add e₁ e₂) => "(" ++ e₁.toString ++ " + " ++ e₂.toString ++ ")... |
ef60ca87f34433b656d2372953745f3cfb2eefbd | 92b50235facfbc08dfe7f334827d47281471333b | /library/data/nat/parity.lean | d5803f3c97b21e57645cc4deab89ba243261f2b7 | [
"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 | 6,960 | 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
Parity
-/
import data.nat.div logic.identities
namespace nat
open decidable
definition even (n : nat) := n mod 2 = 0
definition decidable_even [instance] :... |
794204bb4e2fc654e20db22ede83d3523252825c | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/measure_theory/measure_space.lean | eb98cc3297bed7f36b3485fe535ddddcc4522c72 | [
"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 | 78,386 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import measure_theory.outer_measure
import order.filter.countable_Inter
import data.set.accumulate
/-!
# Measure spaces
Given a measurable space `α`... |
5995beee374ca92b24f006e7771ba5e210aca1a3 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/hit/type_quotient.hlean | b5db8e5a2da5f0f66e698b08cfb18aca7e453952 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,704 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.type_quotient
Authors: Floris van Doorn
Type quotients (quotient without truncation)
-/
/- The hit type_quotient is primitive, declared in init.hit. -/
open eq equiv sigma.ops... |
aaa14ca6e645e694d06c40c5513b8426304ddbd4 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/group_ring_action.lean | 214730a091f3a279b1c18e1a0e86d36d9dd03a92 | [
"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 | 4,644 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Group action on rings.
-/
import group_theory.group_action data.equiv.ring data.polynomial
universes u v
variables (M G : Type u) [monoid M] [group G]
variables (A R S F : Typ... |
3fc14459e45b4f58f7e98f48f4c9166c20ad354d | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/free_non_unital_non_assoc_algebra.lean | 49e7f361cc4907f18312c0fb13821fbe4ffa6324 | [
"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 | 3,991 | 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.free
import algebra.monoid_algebra.basic
/-!
# Free algebras
Given a semiring `R` and a type `X`, we construct the free non-unital, non-associative algebra... |
161269a017a7ac30d57dae082a8c3a7d65d2df9b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/playground/forthelean/ForTheLean/Demo.lean | d116a5a6241044f631f2d4b3bab4ec6092620878 | [
"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 | 3,098 | lean | -- -*- origami-fold-style: triple-braces -*-
import ForTheLean.Prelim
open Lean
open Lean.Elab.Command
open Prelim
-- {{{ [synonym]
syntax variant := "-"? wlexem
syntax [synonym] "[synonym " wlexem ("/" (wlexem <|> variant))+ "]" : command
@[commandElab synonym]
def elabSynonym : CommandElab :=
fun stx => match_synta... |
c53a794f296e0eb6a9aa76d0bd633e218bed7088 | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12b-2002-p19.lean | 478d34f4cbb48dde249650014565189d88a238bf | [
"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 | 343 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example(a b c: ℝ) (h₀ : 0 < a ∧ 0 < b ∧ 0 < c) (h₁ : a * (b + c) = 152) (h₂ : b * (c + a) = 162) (h₃ : c * (a + b) = 170) : a * b * c = 720 :=
begin
s... |
0164f3617bfeb752bc8c8e1dfc5e005a62d1e0ac | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/algebra/associated.lean | 52c0a5eef2a1a9f540d1df630117ec2136f639c1 | [
"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 | 27,216 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Associated and irreducible elements.
-/
import algebra.group data.multiset
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
open lattice
/-- ... |
1b45ffabf44bd247d761062180e867387a31db5c | 92bfaf170880e47d55bf51d5a782fffd76db2f5f | /melting_point/topology.lean | d1453b34eed7059c01c2026f2506107ab6eb72eb | [] | no_license | forked-from-1kasper/melting_point | d33403e1985d876a2c7c06859962cc0c37570189 | e5ea4a0917de086b7e5b122e8d5aa90d2761d147 | refs/heads/master | 1,624,785,375,577 | 1,618,305,367,000 | 1,618,305,367,000 | 222,729,018 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,124 | lean | import melting_point.set
open melting_point.set
meta def tactic.interactive.enumeration : tactic unit :=
`[ repeat { { try { left }, try { change _ = _ }, trivial } <|> right } ]
meta def tactic.interactive.sinduction
(e : interactive.parse interactive.types.texpr) : tactic unit :=
tactic.repeat (do
-- ???
tact... |
b448fe8baf5b23f784cbd5b7b86858e27002fbb1 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Data/Array/BinSearch.lean | 362f8de849534c47d4264db3a761808e192d28ee | [
"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 | 2,926 | 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.Data.Array.Basic
universe u v
-- TODO: CLEANUP
namespace Array
-- TODO: remove the [Inhabited α] parameters as soon as we have the tac... |
3d3f4d2650eea01a9d14211570eeea6d641a793e | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/category_theory/limits/shapes/biproducts.lean | 950b8d3e60b3f9e7ceb3ab89b8f9e48943a99507 | [
"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 | 17,962 | 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 category_theory.epi_mono
import category_theory.limits.shapes.binary_products
import category_theory.preadditive
/-!
# Biproducts and binary biproducts
We in... |
4d5c1d48ff321a8f8212e9ecd541200126a12ecf | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/order/nonneg.lean | a874615d9d093c2c1fa3d5cd6dc62a09209d9c3d | [
"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 | 12,326 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import algebra.order.archimedean
import algebra.order.sub
import algebra.order.with_zero
import order.lattice_intervals
import order.complete_lattice_intervals
/... |
ae404001961fcd3b9035c94c6cf0d05cbda9b84b | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /src/cubitt_sugden.lean | 4133fb1024f070a7daaa9dfa42cde44ba763a428 | [] | no_license | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,097 | lean | /-
Copyright (c) 2022 Huub Vromen. All rights reserved.
Author: Huub Vromen
-/
import data.list.basic
/- outline of Lewis' theory of common knowledge (according to Cubitt and Sugden) -/
variable {indiv : Type} -- type of individuals
variables {i j k : indiv}
/-- Reason-to-believe is a two-place relation ... |
1d33c05abe40d4d3158eb669addd2e192269837d | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/linear_algebra/nonsingular_inverse.lean | e9014c4e8c74376361cc87ea8b753cf7668b62b9 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 15,870 | lean | /-
Copyright (c) 2019 Tim Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Tim Baanen.
-/
import algebra.associated
import linear_algebra.determinant
import tactic.linarith
import tactic.ring_exp
/-!
# Nonsingular inverses
In this file, we define an inverse for ... |
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