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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
923f6c7e7ef99229fc1490850b83a3d78a5f6029 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/ParserCompiler.lean | 84dbcda4bc7b515c659162e2261d6be72b8cfc53 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,092 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
Gadgets for compiling parser declarations into other programs, such as pretty printers.
-/
import Lean.Util.ReplaceExpr
import Lean.Meta.Basic
import Lean... |
35a13cf6e74e021d9e95cd9b8bd9f60cffd0245e | 10c7c971a1902d76057c52ce0529ebb491a69c44 | /NatDeduction.lean | f76f9f54230f741be5c28e992e8e08d3336f5b84 | [] | no_license | SzymonKubica/Lean | 5f6122e8dd9171239b36a9ce0515f6acbc49781a | 627bff2f001ba3f009c112c9332093e8de84863c | refs/heads/main | 1,675,563,490,768 | 1,608,538,609,000 | 1,608,538,609,000 | 307,184,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,696 | lean | import tactic
-- Exercise 1
-- (a)
variables p q : Prop
variable given1 : (p ∧ q)
example : p :=
show p, from and.left given1
-- (b)
--example : (p ∧ q → p) :=
--assume h1 : (p ∧ q),
--show p, from and.left h1
-- (c)
example : p → (q → p) :=
begin
assume h1,
assume h2,
exact h1,
end
-- (d)
example: p → (q →... |
79c5b06c336e1c30a24a0b55ca4c985a7813b0b0 | b82c5bb4c3b618c23ba67764bc3e93f4999a1a39 | /src/formal_ml/real_random_variable.lean | 0128cf01e46f638b1028c15b319f70968900e5c2 | [
"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 | 93,169 | 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... |
11b984b418d4abac540bd08dbd8e903f92ee7d80 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/linear_algebra/basis.lean | 9af256c5f145119b962fc061edfa8b2f21ec662d | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 28,447 | 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
Linear independence and basis sets in a module or vector space.
This file is inspired by Isabelle/HOL's linear algebra, and hence indirectly by HOL Lig... |
55397996958bfa4ef41db7bddbd9e587c8ef4834 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/convex/krein_milman.lean | 9069f54d51ec030cf31063264e0b943682d09627 | [
"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 | 5,429 | 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 analysis.convex.exposed
import analysis.normed_space.hahn_banach.separation
/-!
# The Krein-Milman theorem
This file proves the Krein-Milman lemma and the Krein-... |
727dfd9ee1ea29a8c780a45bf46b948412f2f5fc | 48f4f349e1bb919d14ab7e5921d0cfe825f4c423 | /fabstract/Birkhoff_G_ErgodicTheorem/fabstract.lean | 1a88054eac77f2c7ccd21c92116d3c692c7f8846 | [] | no_license | thalesant/formalabstracts-2017 | fdf4ff90d30ab1dcb6d4cf16a068a997ea5ecc80 | c47181342c9e41954aa8d41f5049965b5f332bca | refs/heads/master | 1,584,610,453,925 | 1,528,277,508,000 | 1,528,277,508,000 | 136,299,625 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,107 | lean | import folklore.measure_theory
noncomputable theory
open set real_axiom.extended_real
namespace Birkhoff_G_ErgodicTheorem
variables {X : Type} (σ : set (set X)) [sigma_algebra σ] (μ : set X → ℝ∞) [hms : measure_space σ μ]
@[meta_data {description := "A transformation is measure preserving if the measure of ... |
cb62d806f1251103cee12b51649a2b59f528b0b8 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/geometry/manifold/instances/sphere.lean | 06624e839af3c0588fe16a9ad923f6c7963fa14e | [
"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 | 20,604 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.complex.circle
import analysis.normed_space.ball_action
import analysis.inner_product_space.calculus
import analysis.inner_product_space.pi_L2
impor... |
5079e3455d47aada9ca6475aa7b9c03b40b26124 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/limits/cone_category.lean | 13620deff44cc974a2578ff70ca5bbbedc4c3922 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,220 | 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 category_theory.limits.preserves.shapes.terminal
/-!
# Limits and the category of (co)cones
This files contains results that stem from the limit API. For the def... |
730240fcf607baf1ae83227903ba536f8abc84c1 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/types/sigma.hlean | 53d2600ab46d492013aa588957b4fec7c8fc537d | [
"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 | 639 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.types.sigma
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.num
structure sigma {A : Type} (B : A → Type) :=
mk :: (pr1 : A) (pr2 : B p... |
74780a365635365ea7db43fdbb8a45254a3d0009 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/jacobson.lean | 16bbe3704494c3e8a0115746a07dc08a57d3f306 | [
"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 | 34,433 | lean | /-
Copyright (c) 2020 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import data.mv_polynomial
import ring_theory.ideal.over
import ring_theory.jacobson_ideal
import ring_theory.localization
/-!
# Jacobson Rings
The following conditions are e... |
06b93c8b908d157fa8b9c9732272edbcebd02b16 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/simp_norm.lean | 2566a458c7e00f7820dc33aa3ae4ce81c69ab0d4 | [
"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 | 456 | lean | universes u v
axiom map_bind_lemma : ∀ {α β : Type u} {m : Type u → Type v} [monad m] (f : α → β) (x : m α), f <$> x = x >>= pure ∘ f
attribute [norm] function.comp map_bind_lemma
example : nat.succ <$> [1, 2] = [2, 3] :=
begin
simp with norm,
guard_target
@eq (list nat)
(@bind (λ (α : Type), list α) _ _ ... |
12f27d8346b28e5559979f872ee2d08c44faac29 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/conditionally_complete_lattice/finset.lean | 182242ff9b5c6086aa86dfc34856e77bbfdca0ab | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 3,382 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import order.conditionally_complete_lattice.basic
import data.set.finite
/-!
# Conditionally complete lattices and finite sets.
-/
open set
variables {α β γ... |
da695201296f66169f55acede9bd9dec5a199c0b | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/tools/super/prover.lean | d1f2610715b95efb5ac53c72532cacfc0809d24a | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,642 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .prover_state
import .misc_preprocessing
import .selection
import .trim
-- default inferences
-- 0
import .clausifier
-- 10
import .demod
import .inhabi... |
2811a35fb6d7302817b276be7d5050ca451429f4 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/order/order_iso_nat.lean | d4822422c62f8ca900f312d31f357d4ab8c89cd7 | [
"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 | 6,000 | 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.nat.basic
import data.equiv.denumerable
import data.set.finite
import order.rel_iso
import logic.function.iterate
namespace rel_embedding
variables {α :... |
7e0b64598bb8793865da8a7d3cb40db807e00eff | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Lean/Meta.lean | 6bd4425b84ada10d57d5d5d45520f286a7e65af5 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,079 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.WHNF
import Lean.Meta.InferType
import Lean.Meta.FunInfo
import Lean.Meta.ExprDefEq
impo... |
570e56dbde799ef1a28439861956fb70abd6b746 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/algebra/module/prod.lean | 644e88c8c7aab730c84f82bcced3cd3d7421f129 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,146 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
import algebra.module.basic
import group_theory.group_action.prod
/-!
# Prod instances for module and multiplicative actions
This file define... |
158e746ef368c7131894048773a1363a023b3cf0 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /05_Interacting_with_Lean.org.9.lean | a690f68dab0c6d02bc3c9c095e808e41335d7db5 | [] | 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 | 194 | lean | /- page 67 -/
import standard
import standard algebra.ordered_ring
open nat algebra
-- BEGIN
check lt_of_succ_le
check @lt_of_not_ge
check @lt_of_le_of_ne
check @add_lt_add_of_lt_of_le
-- END
|
2ee49a65de65512be6dcce39968f7ddd3313650c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/macroscopes.lean | 1e0cb6a19e8f746e2c3bdeeba4e507dc155c70b5 | [
"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 | 1,123 | lean | --
open Lean
def check (b : Bool) : IO Unit :=
unless b do throw $ IO.userError "check failed"
def test1 : IO Unit := do
let x := `x;
let x := addMacroScope `main x 1;
IO.println $ x;
let v := extractMacroScopes x;
let x := { v with name := `y }.review;
IO.println $ x;
let v := extractMacroScopes x;
let x := { v with ... |
40d4e62ccf5aed4c784aa6808bdf0dd2f25d1dbb | abd85493667895c57a7507870867b28124b3998f | /src/data/polynomial.lean | 605cb1a2ddc0db41e30c5a3f38d0b67ec29b9f61 | [
"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 | 108,349 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.monoid_algebra
import algebra.gcd_domain
import ring_theory.euclidean_domain
import ring_theory.multiplicity
i... |
bc80209bf61b3789e25edb3181562c9ae841024e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/homotopy/basic.lean | ed41f986392f3d6113cc889817901dff55088c6b | [
"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 | 20,418 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.algebra.order.proj_Icc
import topology.continuous_function.ordered
import topology.compact_open
import topology.unit_interval
/-!
# Homotopy between f... |
247fc3ad0449be0eb6de48e13af2cb7fc4c43277 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/locally_constant/algebra.lean | 02e0cdde737bce750ac21f861e1b220da1fd1b8a | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,361 | 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 topology.locally_constant.basic
/-!
# Algebraic structure on locally constant functions
This file puts algebraic structure (`add_group`, etc)
on the type of ... |
a910f569629f2c5f0c60bb60291994c386886cd0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/shapes/pullbacks.lean | dfd1089f8fbf15d149af9ad3e7782f4b3271a9fe | [
"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 | 92,095 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel, Bhavik Mehta, Andrew Yang
-/
import category_theory.limits.shapes.wide_pullbacks
import category_theory.limits.shapes.binary_products
/-!
# Pullbacks
W... |
84e587e6117676e0c3fe9055320a723fda48e187 | 43390109ab88557e6090f3245c47479c123ee500 | /src/Geometry/tarski_6.lean | 7bb9cfee7b50fadc99a08c3b5eefbb6083dbdcbd | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,614 | lean | import geometry.tarski_5
open classical set
namespace Euclidean_plane
variables {point : Type} [Euclidean_plane point]
local attribute [instance, priority 0] prop_decidable
theorem eleven22a {a b c p a' b' c' p' : point} : Bl a (l b p) c → Bl a' (l b' p') c' → eqa a b p a' b' p' →
eqa p b c p' b' c' → eqa a b c a' b'... |
7c4ec13f63c279c30178d0630b0f314c955d94c5 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_662.lean | 12f7bfa0a6b53ce25c430f1850af7267af197870 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 194 | lean | import tactic
open set
variables α I : Type*
variable A : I → set α
variable s : set α
-- BEGIN
open_locale classical
example : s ∪ (⋂ i, A i) = ⋂ i, (A i ∪ s) :=
sorry
-- END |
45154abad60f2867cf31d4ac1bdd07338429a84b | 76df16d6c3760cb415f1294caee997cc4736e09b | /lean/src/cs/lgl.lean | 1d2797dbffecdb5a82b9fbb316e6cc5165b6f041 | [
"MIT"
] | permissive | uw-unsat/leanette-popl22-artifact | 70409d9cbd8921d794d27b7992bf1d9a4087e9fe | 80fea2519e61b45a283fbf7903acdf6d5528dbe7 | refs/heads/master | 1,681,592,449,670 | 1,637,037,431,000 | 1,637,037,431,000 | 414,331,908 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 17,508 | lean | import tactic.basic
import tactic.split_ifs
import tactic.linarith
import tactic.apply_fun
import .svm
import .lib
import .hp
import .mrg
namespace sym
open lang
section lgl
variables
{Model SymB SymV D O : Type}
[inhabited Model] [inhabited SymV]
(f : factory Model SymB SymV D O) {m : Model}
l... |
cc8656429ce5b858084feeb99e76cf7c22c36f35 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/sheaves/stalks_auto.lean | 53d0e4bee1d93ad610ea8fe35485ef3a32369f01 | [] | 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 | 8,057 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.category.Top.open_nhds
import Mathlib.topology.sheaves.presheaf
import Mathlib.cat... |
a6fcc4336283dce7f141ece263cacdbaa90cf289 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/K_bug.lean | 6408d202a744877d900357f469f7cc0bfad64dca | [
"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 | 374 | lean | open eq.ops
inductive Nat : Type :=
zero : Nat |
succ : Nat → Nat
namespace Nat
definition pred (n : Nat) := Nat.rec zero (fun m x, m) n
theorem pred_succ (n : Nat) : pred (succ n) = n := rfl
theorem succ.inj {n m : Nat} (H : succ n = succ m) : n = m
:= calc
n = pred (succ n) : pred_succ n
... = pred (succ m)... |
668b000399e80336ba123fcdc7b8b8ba317dcc42 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/nat_bug7.lean | b59f7297a0f5fe98db732ef54d5126553ccf5c04 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 431 | lean | import logic
namespace experiment
inductive nat : Type :=
zero : nat,
succ : nat → nat
namespace nat
definition add (x y : nat) : nat := nat.rec x (λn r, succ r) y
infixl `+` := add
axiom add_right_comm (n m k : nat) : n + m + k = n + k + m
open eq
print "==========================="
theorem bug (a b c d : nat) : a +... |
a3eedd8b1ceca1d8230d2fcead6dca6679b2f9de | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/algebra/category/Group/limits.lean | 66af09305901f0ea59b1ede20127a032e9300837 | [
"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 | 4,252 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.limits.types
import category_theory.limits.preserves
import algebra.pi_instances
/-!
# The category of abe... |
a93f9670ef2f96590774d1ea1d711f7bb5c6e3ea | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/constructions/weakly_initial.lean | 54e737517a14ce584ab79b74bb9c186d497929cd | [
"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 | 2,562 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.wide_equalizers
import category_theory.limits.shapes.products
import category_theory.limits.shapes.terminal
/-!
# Constructions rela... |
b67ddfabab59c62768000d9442f882dc1d3763b7 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/general_linear_group.lean | dea2ab06557de7b887259260cb144ab8a81cd652 | [
"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 | 5,769 | lean | /-
Copyright (c) 2021 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import linear_algebra.matrix
import linear_algebra.matrix.nonsingular_inverse
import linear_algebra.special_linear_group
import linear_algebra.determinant
/-!
# The ... |
b256255a7876fa65964e46397f73d3795571509a | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/pseudo_normed_group/with_Tinv.lean | de6f7dc4d71c12ae3709b9e0a7d36114a9132ba9 | [] | 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 | 7,037 | lean | import pseudo_normed_group.profinitely_filtered
open pseudo_normed_group profinitely_filtered_pseudo_normed_group
open_locale nnreal big_operators
local attribute [instance] type_pow
/-- A *profinitely filtered pseudo normed topological group with action by `T⁻¹`* is
a profinitely filtered pseudo normed topological ... |
a03536b582dfabbd569359729566142e4ece1c08 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/hom/group.lean | c9a8ad1a93052b078ed7c49aeb61c3a34f4c97b8 | [
"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 | 52,300 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.commute
import algebra.group_with_zero.defs
impor... |
085960152eb81d0a80385a17bd0a90f444c13e22 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/logic/identities.lean | 9c418a47db4442d290f2320865b86e4d77a4538f | [
"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 | 4,216 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Useful logical identities. Since we are not using propositional extensionality, some of the
calculations use the type class support provided by... |
eea531dbc8ce3f23be2240665298502221cc730b | 33340b3a23ca62ef3c8a7f6a2d4e14c07c6d3354 | /lia/eval_qe.lean | bb5aa37fc31032fb12d791f590541d295a73c0b0 | [] | no_license | lclem/cooper | 79554e72ced343c64fed24b2d892d24bf9447dfe | 812afc6b158821f2e7dac9c91d3b6123c7a19faf | refs/heads/master | 1,607,554,257,488 | 1,578,694,133,000 | 1,578,694,133,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,701 | lean | import .nnf .qfree_sqe .wf_sqe .eval_sqe
def qe : formula → formula
| (p ∧' q) := and_o (qe p) (qe q)
| (p ∨' q) := or_o (qe p) (qe q)
| (¬' p) := not_o (qe p)
| (∃' p) := sqe (nnf (qe p))
| p := p
lemma qfree_qe :
∀ {f : formula}, qfree (qe f) :=
λ f, formula.rec_on f trivial trivial
(λ a, trivial)
(λ f1 f2 h... |
76f447d119834ada0be3034c9299289d4b9b979a | 7b02c598aa57070b4cf4fbfe2416d0479220187f | /algebra/exact_couple.hlean | 4d5150035ffde60efee2b59a2d4236552ea5cd6e | [
"Apache-2.0"
] | permissive | jdchristensen/Spectral | 50d4f0ddaea1484d215ef74be951da6549de221d | 6ded2b94d7ae07c4098d96a68f80a9cd3d433eb8 | refs/heads/master | 1,611,555,010,649 | 1,496,724,191,000 | 1,496,724,191,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,614 | hlean | /-
Copyright (c) 2016 Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egbert Rijke, Steve Awodey
Exact couple, derived couples, and so on
-/
import algebra.group_theory hit.set_quotient types.sigma types.list types.sum .quotient_group .subgroup .ses
ope... |
50bdbdc6e9ceacb318048932fb752382689110ae | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/nat/cast.lean | abf7d4c4ff903d5884209c5a3843df5d9ce31e3f | [
"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 | 9,887 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import algebra.ordered_field
import data.nat.basic
namespace nat
variables {α : Type*}
sectio... |
b1cd676002edeaee62640a1593f1d5ad4819905d | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/init/pathover.lean | 7fb6af578ee9bf8ec442a1b1a4bddcd5224404b2 | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 20,165 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Basic theorems about pathovers
-/
import .path .equiv
universes u v l
hott_theory
namespace hott
open hott.equiv hott.is_equiv function
variables {A : Type _} {A'... |
2cf3d2ade32c5773cf185a65c5d3213893472d5e | a721fe7446524f18ba361625fc01033d9c8b7a78 | /elaborate/mul_cancel_total_order_no_tactic.stripped.lean | 9ba6b35b84c0253d771dd5a81ee79d64d653c521 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 17,398 | lean | λ (m n k : mynat) (hmnz : m = zero → false), or.rec (λ (h : ∃ (k_1 : mynat), k = add n k_1) («_» : (∃ (k_1 : mynat), k = add n k_1) ∨ ∃ (k_1 : mynat), n = add k k_1) (hmnmk : mul m n = mul m k), Exists.rec (λ (w : mynat) (h : k = add n w) («_» : ∃ (k_1 : mynat), k = add n k_1), eq.rec true.intro (eq.rec (eq.refl (n = k... |
85820e6b723f94b0665b77ff0fc790d07ca6ca49 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/identifiers/defz.lean | 3824c7c181db2f08a55a06f652b6f19396cf83ec | [] | 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 | 25 | lean | def z := nat.zero
#eval z |
d09d48c35fbe868c7a92a834a30a82769056a2ac | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/int/cast/basic.lean | 913d5db16ef2f9d3b323cfad2d271768f48bbee5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 3,844 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Gabriel Ebner
-/
import data.int.cast.defs
import algebra.group.basic
/-!
# Cast of integers (additional theorems)
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https:... |
105b80f25124c98e3365a1be8c63f0f7967fb22d | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/rat/basic.lean | 9772b8211475d6992fbcb79313c3e94231c2e7b5 | [
"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 | 29,457 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.encodable.basic
import algebra.euclidean_domain
import data.nat.gcd
import data.int.cast
/-!
# Basics for the Rational Numbers
## ... |
b0656835d612057cc0a466dcc034d54a169156aa | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/topology/union_closed_sets.lean | 591863470f005e812acb8931d88768c10ac72393 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 566 | lean | import data.real.basic
import data.set.lattice
import topology.basic
import game.topology.union_open_sets
open set
--begin hide
namespace xena
-- end hide
def is_closed (X : set ℝ) := is_open {x : ℝ | x ∉ X }
-- begin hide
-- Checking mathlib definitions
variable β : Type* -- finite unions only
variable [fintype β... |
cc169a0c662057ed788fd9c7c58dcf17a5237d55 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /test/aesop/default_rules.lean | 047a3e0b4aa2c864a186f17696103de00da17bd0 | [
"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 | 1,567 | lean | import tactic.aesop.default_rules
open tactic.aesop.default_rule (split_hyps)
/-!
# split_hyps
Note: the names of generated hypotheses are more or less arbitrary and should
not be relied upon.
-/
/- We can split product-like types. -/
example {P Q : Prop} {A B : Type}
(h₁ : P ∧ Q) (h₂ : A × B) (h₃ : pprod A B) : ... |
b4ffb7b16249e05c0f145c16c15f9916c425ed75 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Data/Lsp/Extra.lean | 0bd811d4a21d3f7816f7518834ad51dd166d2592 | [
"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 | 1,298 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga
-/
import Lean.Data.Json
import Lean.Data.JsonRpc
import Lean.Data.Lsp.Basic
/-!
This file contains Lean-specific extensions to LSP.
The following additional packets are... |
3dfde7a9ee62bb287f03bfd790d7ae9f0fc90f67 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/data/equiv/mul_add.lean | beb5ffbbe5745cfee032ccff44d8fc51d8c855d5 | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,398 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.basic
import deprecated.group
/-!
# Multiplicative and additive equivs
In this file we define two extensions of `e... |
9c276ee09267f20cae5e92841188aa79e7d4739d | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /analysis/measure_theory/measure_space.lean | 193ca47832a388e73622ef30f5e2d65e48a4019e | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 25,345 | 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
Measure spaces -- measures
Measures are restricted to a measurable space (associated by the type class `measurable_space`).
This allows us to prove equ... |
ad5401e52daa6d0bf6b4fd914f17f706f72cdcf7 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/def_brec3.lean | 6a4b6d81b37d0e76e9eb9163cbdc32f84fb943d6 | [
"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 | 504 | lean | open nat
inductive bv : nat → Type
| nil : bv 0
| cons : ∀ (n) (hd : bool) (tl : bv n), bv (succ n)
open bv
variable (f : bool → bool → bool)
definition map2 : ∀ {n}, bv n → bv n → bv n
| .0 nil nil := nil
| .(n+1) (cons n b1 v1) (cons .n b2 v2) := cons n (f b1 b2) (map2 v1 v2)
example ... |
a3b4fe425c9a49e3608a3a09ef268dad19ba83a4 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/t13.lean | d0be9f25af5a2678337c8d11e8a461dbbffd24bf | [
"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 | 353 | lean | prelude constant A : Type.{1}
constant f : A → A → A
constant g : A → A → A
precedence `+` : 65
infixl (name := f) + := f
infixl (name := g) + := g
constant a : A
constant b : A
#print raw a+b -- + is overloaded
#check fun (h : A → A → A)
(infixl + := h), -- Like local declarations, local notation "shadows" g... |
2397c218565cfea419b1096991431eccc9210a53 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/isomorphism.lean | 0a3c64e5dcb40784fa3c04acce680673e540520a | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 10,300 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor
import tactic.reassoc_axiom
/-!
# Isomorphisms
This file defines isomorphisms between ... |
5e6db80aa99960a796032939f611c22fe9e93168 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/local_at_target.lean | 8506d806e0a7b7d0ae22c1509844ee226685b82e | [
"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 | 4,697 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import topology.sets.opens
/-!
# Properties of maps that are local at the target.
We show that the following properties of continuous maps are local at the target :
- `in... |
c4845da19d5a39847c7be61c381bd4a2b904c072 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/preadditive/endo_functor.lean | c4c77a465cf8d2ce9274849dfcaeb2595a318d6d | [
"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 | 4,558 | lean | /-
Copyright (c) 2022 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import category_theory.preadditive.basic
import category_theory.endofunctor.algebra
import category_theory.preadditive.additive_functor
/-!
# Preadditive st... |
a293d361666518639a237bbff3caa86d327ea064 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/set_theory/game.lean | a390f0e0b4bdcb293d87e0e6ad153eab5c9241c4 | [
"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 | 24,936 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison, Apurva Nakade
-/
import set_theory.pgame
import tactic.abel
/-!
# Combinatorial games.
In this file we define the quot... |
9ac04e05548ef271c3a6e6238f793d97f0984c57 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/pointwise.lean | 8074695486532ca0c987d396408333584ca34f31 | [
"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 | 19,106 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import algebra.module.basic
import data.set.finite
import group_theory.submonoid.basic
/-!
# Pointwise addition, multiplication, and scalar multipl... |
be8b52c81d63ac32cc2e4084c41246c4ca07adce | 274261f7150b4ed5f1962f172c9357591be8a2b5 | /src/lattice_filtration.lean | 3f8c18b00e1ee2887c4bf065f697a9a1578fb5a9 | [] | no_license | rspencer01/lean_representation_theory | 219ea1edf4b9897b2997226b54473e44e1538b50 | 2eef2b4b39d99d7ce71bec7bbc3dcc2f7586fcb5 | refs/heads/master | 1,588,133,157,029 | 1,571,689,957,000 | 1,571,689,957,000 | 175,835,785 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,492 | lean | import order.order_iso
import .lists
open lattice
/-- A filtration is a list of (not-strictly) increasing elements of the lattice -/
structure filtration (α) [preorder α] := (modules : list α) (c : list.chain' (≤) modules)
namespace filtration
def le_pair (α) [has_le α] := { p : α × α // p.1 ≤ p.2}
instance (... |
2e3168c94f1495746d3eb627793a6bd206ca7594 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/RightSelfInverse.lean | ad3b7cc7f582ee3c1b375b46ea311b035453fec7 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,301 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section RightSelfInverse
structure RightSelfInverse (A : Type) : Type :=
(linv : (A → (A → A)))
(rightSelfInverse_linv : (∀ {x y : A} , (linv (linv x y) y) = x))
... |
8aa84c8a07b17096cb73797d9e1b312623999c09 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /test/traversable.lean | 931b0828049b82c645a0afa303797ea5c8c6c9c8 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 1,940 | lean | import category.traversable.derive
import tactic
universes u
/- traversable -/
open tactic.interactive
run_cmd do
lawful_traversable_derive_handler' `test ``(is_lawful_traversable) ``list
-- the above creates local instances of `traversable` and `is_lawful_traversable`
-- for `list`
-- do not put in instances becaus... |
06790c576427ad0223112494620503b0aec58335 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/omega_complete_partial_order.lean | 741a53fb83d855db6e3a813015692a5870a6c2ac | [
"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 | 27,464 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.monad.basic
import data.part
import order.hom.order
import tactic.monotonicity
import tactic.wlog
/-!
# Omega Complete Partial Orders
An omega-complete par... |
4adcddb6cd971bbf078a4d4785986707d5e347a4 | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/utils/default.lean | 37d33e667e90f3803c95c5814b1370fa9cbaebed | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 39 | lean | import .util
import .sexp
import .json
|
967d4bcc850fb9f33b3924619aceb0f7bda0d0bb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/representation_theory/Action.lean | df29ca63dca5a3da4acb4a9de903a351881ccfd8 | [
"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 | 28,698 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.single_obj
import category_theory.limits.functor_category
import category_theory.limits.preserves.basic
imp... |
fd93326498c521112f2a544ee41906f6d4f3cf60 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/ind_bug.lean | 246d30277b9fb2b51949136a25ebb31220372085 | [
"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 | 186 | lean | constant N : Type.{1}
constant I : Type.{1}
namespace foo
inductive p (a : N) : Prop
| intro : p
end foo
open foo
namespace bla
inductive p (a : I) : Prop
| intro : p
end bla
|
b9cf0d238c30724405780e4485249b79e7251e6c | d3aa99b88d7159fbbb8ab10d699374ab7be89e03 | /src/linear_algebra/basic.lean | 97466be75de7d926803ce48d1fe279f7c64ca714 | [
"Apache-2.0"
] | permissive | mzinkevi/mathlib | 62e0920edaf743f7fc53aaf42a08e372954af298 | c718a22925872db4cb5f64c36ed6e6a07bdf647c | refs/heads/master | 1,599,359,590,404 | 1,573,098,221,000 | 1,573,098,221,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 70,349 | 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
-/
import algebra.pi_instances data.finsupp data.equiv.algebra order.order_iso
/-!
# Linear algebra
This file defines the basics of lin... |
355ddb114266cdf9cf50721dd665a85989aa382d | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/discovery/types.lean | 501c0898ae293562164bdeba798a1fbe00d378d0 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 507 | lean | import tidy.rewrite_search.core.shared
import .shared
import .bundle
universe u
open tidy.rewrite_search
namespace tidy.rewrite_search.discovery
meta def discovery_trace {α : Type u} [has_to_tactic_format α] (a : α) (nl : bool := tt) : tactic unit := do
str ← tactic.pp a,
let nlc := if nl then "\n" else "",
... |
3608f1d481646002ec6eb175c996ee0726c34d50 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Lean/Compiler/Specialize.lean | 8229ed516b5b7a2e80c450c3c17f597454eeae09 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,347 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Attributes
import Lean.Compiler.Util
namespace Lean.Compiler
inductive SpecializeAttributeKind :=
| specialize | nospecialize
namespace Spe... |
feea64294010488761cc2ad95cd9ce9097103f8c | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/theories/group_theory/pgroup.lean | 0c349b35fee3d571b2bbe097325544f2bf2987d5 | [
"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 | 15,389 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import theories.number_theory.primes data algebra.group algebra.group_power algebra.group_bigops .cyclic .finsubg .hom .perm .action
open nat fin list algebra function... |
56361ad0bd4fe2af1d53d230803f8ff7b242601d | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Init/Data/Fin/Basic.lean | 84ef5c1163539beb2b290bdd56ae7e25250958fe | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 2,991 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Nat.Div
import Init.Data.Nat.Bitwise
import Init.Coe
open Nat
namespace Fin
instance coeToNat {n} : Coe (Fin n) Nat :=
⟨fun v =... |
1aacbac83b1dfbfd157cf117af25a7893df0545b | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/match_convoy3.lean | 067eb8c032d9cd68024077fd83e507ae60ebcb27 | [
"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 | 1,570 | lean | constant bag_setoid : ∀ A, setoid (list A)
attribute [instance] bag_setoid
noncomputable definition bag (A : Type) : Type :=
quotient (bag_setoid A)
constant subcount : ∀ {A}, list A → list A → bool
constant list.count : ∀ {A}, A → list A → nat
constant all_of_subcount_eq_tt : ∀ {A} {l₁ l₂ : list A}, subcount l₁ l₂ =... |
143a207d5fd1ee449317131c8716c775a0d8ba81 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Parser/Term.lean | 9cc5e166e0f0d84974838da3dc96780d20cd882a | [
"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 | 17,269 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Attr
import Lean.Parser.Level
namespace Lean
namespace Parser
namespace Command
def commentBody : Parser :=
{ fn := ... |
8925dbb1574c79682d1144b6ea630be5b1fdb536 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/structuralEqns.lean | 8002737675e50b6714206dc1be7eb007bc4a9d57 | [
"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 | 357 | lean | import Lean
open Lean
open Lean.Meta
def tst (declName : Name) : MetaM Unit := do
IO.println (← getUnfoldEqnFor? declName)
def foo (xs ys zs : List Nat) : List Nat :=
match (xs, ys) with
| (xs', ys') =>
match zs with
| z::zs => foo xs ys zs
| _ => match ys' with
| [] => [1]
| _ => [2]
... |
8b955c93d2a6898f4eaf462fcb38bc2a274eea8d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/W/cardinal.lean | d5dd68d7b275931c875e2397e9f0ed7c1cc1c7f7 | [
"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 | 2,788 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.W.basic
import set_theory.cardinal.ordinal
/-!
# Cardinality of W-types
This file proves some theorems about the cardinality of W-types. The main result is
... |
5a49de7a899c0617dbcbd9092d930b55ba7b1d60 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/monadCache.lean | bf8e3737b03617550906e3685a0a1dc29690baac | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,340 | lean | import Lean
open Lean
partial def mkTower : Nat → Expr
| 0 => mkConst `a
| n+1 => mkApp2 (mkConst `f) (mkTower n) (mkTower n)
partial def depth : Expr → MonadCacheT Expr Nat CoreM Nat
| e =>
checkCache e fun e =>
match e with
| Expr.const c [] _ => pure 1
| Expr.app f a _ => do pure $ Nat.max (← d... |
7da08ae6207ae926d502e032692d726db4336fb2 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/category/constructions/initial.hlean | 109e93a9eecfc232766ce7d107ebfcc86e7b121f | [
"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 | 1,376 | 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
Initial category
-/
import .indiscrete
open functor is_trunc eq
namespace category
definition initial_precategory [constructor] : precategory empty :=
indi... |
0a4a40270dcea277faa8eeef42c91653a4b2e26e | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /EXAMS/exam3-practice.lean | ba45cf82561b4343bfb2337b89446a613efc5c08 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 8,088 | lean | import data.set
open set
/-
NOTE: The final exam is comprehensive, but this practice
exam is not. In addition to working through this practice
exam, you should revisit the exam1 and exam2 practice
exams.
-/
/- SETS -/
namespace sets
/-
1.
Prove that 1 is in the set {1, 2, 3, 4, 5}.
-/
example: 1 ∈ ({1, 2, 3, 4, 5}:... |
28c13729682fdfa9c5d7caf255bfbb90320b50a6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/function/conditional_expectation.lean | f18b753473b651ebe1c6a49acbd05388f565f846 | [
"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 | 118,221 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.inner_product_space.projection
import measure_theory.function.l2_space
import measure_theory.decomposition.radon_nikodym
import measure_theory.function.u... |
c38e0b459ff34de048532c71818cfd42c7bedbdd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/def11.lean | b03d8c70476dc7a9c73cf06de574ca728e00c215 | [
"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 | 55 | lean |
definition ex1 (a : nat) : nat.succ a = 0 → false
.
|
f2f498b2830f497efb47f4973acddf6eea2d6e2b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/smodeq_auto.lean | 579a5b1d89db0a7c62796304ec7d99fd6b13651d | [] | 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 | 3,621 | 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.linear_algebra.basic
import Mathlib.PostPort
universes u_1 u_2 u_3
namespace Mathlib
/-!
# modula... |
040cbfee3cc7222fe657c150623f4f6d5cd70dca | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/homology/augment.lean | 6904f0708305b721c4bdced26553a051c46b191e | [
"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 | 10,971 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.homology.single
import tactic.linarith
/-!
# Augmentation and truncation of `ℕ`-indexed (co)chain complexes.
-/
noncomputable theory
open category_t... |
23f474fffa3ca7accd04bd22db43646ceccc02d8 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/set/basic.lean | 7a9682390f1d44c63c33951d15cf6853cfbc0d7b | [
"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 | 106,457 | 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
-/
import logic.unique
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their elements have the same type... |
50bbed17b64beaf42b69dd1deef7f379d9425c60 | 618003631150032a5676f229d13a079ac875ff77 | /roadmap/topology/paracompact.lean | 0eb48b512a9b4fbe46143da5b6fd442266b59661 | [
"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 | 3,137 | lean | /-
Copyright (c) 2020 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import ..todo
import topology.subset_properties
import topology.separation
import topology.metric_space.basic
/-!
A formal roadmap for basic properties of paracompact spa... |
8c220a35823e3c30fcc09804615b08ceed503da7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/monoid/with_top.lean | 8665adece4cc690e845f74752aae51cb01ada5e3 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 20,767 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.hom.group
import algebra.order.monoid.order_dual
import algebra.order.monoid.with_zero.basic
import da... |
afeb823565f0c37757cbf86d7a6f845c60b793ef | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/subobject/factor_thru.lean | 8133b5c8a4e1eee1924372ea174b8082ff588195 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 6,938 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.basic
import category_theory.preadditive
/-!
# Factoring through subobjects
The predicate `h : P.factors f`, for `P :... |
6aee668aab30887274c682d50d4da8dcdd5a4f80 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tactic_notation.lean | 25d72169d0cef9ca1dda8477df987cf89ec338bb | [
"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 | 226 | lean | import logic
theorem tst1 (a b c : Prop) : a → b → a ∧ b :=
begin
intros,
apply and.intro,
repeat assumption
end
theorem tst2 (a b c : Prop) : a → b → a ∧ b :=
by intros; apply and.intro; repeat assumption
|
a516fd535bb4fc8d5a5652d8d40487b638adc0c6 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/simpOnly.lean | c39a6d717640aaf355f450679b73438095de139e | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 300 | lean | theorem ex1 (n m : Nat) : 0 + (n, m).1 = n := by
simp only
rw [Nat.zero_add]
theorem ex2 (n m : Nat) : 0 + (n, m).1 = n := by
simp
theorem ex3 (n m : Nat) : 0 + (n, m).1 + 0 = n := by
simp only [Nat.add_zero]
rw [Nat.zero_add]
theorem ex4 (n m : Nat) : 0 + (n, m).1 + 0 = n := by
simp
|
8d0d35b0e175bb1f3b03add0f2253821fe15c0e6 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/int/order.lean | f40879c90e86f63d49678e6929d368ace3fa7527 | [
"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 | 11,783 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The order relation on the integers.
-/
prelude
import init.data.int.basic
namespace int
private def nonneg (a : ℤ) : Prop := int.cases_on a (assume n, true) (assume n, ... |
88d4e20abc2f3634388030dcbf74906742565974 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/constructions.lean | 142added5ca0245ac84d5edc2a0daefe75607213 | [
"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 | 45,916 | 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 topology.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
dad2c1db6a081ab5e518913444ebd78d2b65b42d | 450ef90ab419a8d1a41b0acbfcd9c40d706ef262 | /data/list/set.lean | 2375d6c7f9a81447fb0736b62530193e56d6c373 | [] | no_license | minchaowu/library_dev | 7bb62d254aaeae027dd78095cc4b1f0b0f3271ba | 9309df1085d8fb019f5b12d22fafd06bc1be6bf4 | refs/heads/master | 1,609,344,118,976 | 1,501,167,567,000 | 1,501,167,567,000 | 91,199,828 | 0 | 0 | null | 1,494,705,872,000 | 1,494,705,872,000 | null | UTF-8 | Lean | false | false | 31,641 | 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, Jeremy Avigad
Set-like operations on lists.
-/
import data.list.basic data.list.comb .basic .comb
open nat function decidable
universe variables uu vv
variable... |
978cc85f3526829a465f07e31ecc741eb4c11904 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/instances/matrix.lean | 9a783e84d865b6a121dfdbf2023a1ed1691c1cfc | [
"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 | 18,504 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash, Eric Wieser
-/
import topology.algebra.infinite_sum
import topology.algebra.ring
import topology.algebra.star
import linear_algebra.matrix.nonsingular_inverse
import linear_a... |
2d51bcada3377f13f8c44198da6dc62d5dc3528e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/let3.lean | d313dd378487d659daa8f40e197f0804828e0402 | [
"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 | 142 | lean | --
constant f : nat → nat → nat → nat
#check
let a : nat := 10
in f a 10
/-
#check
let a := 10,
b := 10
in f a b 10
-/
|
85192c1af77f23cb1a5fbe6ae36607c3fc177e07 | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/group_theory/classification.lean | f65339a842e806c2579e6b3d9fb3b6a8d300ba4c | [
"MIT"
] | permissive | formalabstracts/formalabstracts | 46c2f1b3a172e62ca6ffeb46fbbdf1705718af49 | b0173da1af45421239d44492eeecd54bf65ee0f6 | refs/heads/master | 1,606,896,370,374 | 1,572,988,776,000 | 1,572,988,776,000 | 96,763,004 | 165 | 28 | null | 1,555,709,319,000 | 1,499,680,948,000 | Lean | UTF-8 | Lean | false | false | 2,411 | lean | import .lie_type .sporadic_group
open nat monster
local infix ` ≅ `:60 := isomorphic
/-- Cyclic groups of prime order -/
structure is_cyclic_of_prime_order (G : Group) : Prop :=
(is_cyclic : is_cyclic G)
(is_finite : is_finite G)
(prime_order : prime (G.order is_finite))
/-- The finite simple alternating groups are ... |
76eda497d09379526b65a86452a39a6068b89d92 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Data/KVMap.lean | 17cdbcfb8e95a8ce735ed65824bf71365d837d05 | [
"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 | 5,809 | 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.Option.Basic
import Init.Data.Int
import Init.Lean.Data.Name
namespace Lean
inductive DataValue
| ofString (v : String)
| ofBool ... |
16ce1f39927d5ed1c3f7cd124d09aefc9fc775a2 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Meta/WHNF.lean | 6b6862c2aa7836dc09d0a6d3dbb9295f285c19ea | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,871 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.ToExpr
import Lean.AuxRecursor
import Lean.ProjFns
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.GetConst
import Lean.Meta... |
fe94b44d702761c9976f545f5c25372eea18d3dc | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Parser/Syntax.lean | e8118d4a5ebeb9de3eed67d4cb097483f6dd915c | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,153 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Command
import Lean.Parser.Tactic
namespace Lean
namespace Parser
builtin_initialize
registerBuiltinParserAttribut... |
b12053e017e3dd6cdba71b6b6c9e042787d2574c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/group/basic.lean | bc78e622ebfc44d1141b8a2b04a0e7dadbae8998 | [
"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 | 20,403 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.integral.lebesgue
import measure_theory.measure.regular
/-!
# Measures on Groups
We develop some properties of measures on (topological) g... |
388fb02cec703b66bd8dffb49a66b2e0225af5e8 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /category/basic.lean | 4e057c19685d89c18b9f7ffd1bf3a16919f4509e | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 3,488 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Extends the theory on functors, applicatives and monads.
-/
universes u v
variables {α β γ : Type u}
notation a ` $< `:1 f:1 := f a
section functor
variables {f : Ty... |
0e3697db14cbf32c415596267cac8ab6da97efcd | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/polynomial/coeff.lean | 4ba24082a3dfcb8805b2e0b77e279bc0f914e1b6 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,199 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.basic
import data.finset.nat_antidiagonal
/-!
# Theory of univariate polynomials
The theorems inc... |
7cf718a9efbc2643a1739256e101ea03916da691 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/algebra/ordered_group.lean | 9f27dfb162d0b52a9d653adf8b16b993b82288f7 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 25,658 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
Ordered monoids and groups.
-/
import algebra.group order.bounded_lattice tactic.basic
universe u
variable {α : Type u}
section old_structure_cmd
set... |
c1a56a816b535a8826276121cfa0ba739205bcd1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/rc_tests.lean | de32d5bdb1aba14b00082cf6d3fda465198b0aa5 | [
"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 | 1,127 | lean |
universe u v
-- set_option pp.binderTypes false
set_option pp.explicit true
set_option trace.compiler.llnf true
-- set_option trace.compiler.boxed true
namespace x1
def f (x : Bool) (y z : Nat) : Nat :=
match x with
| true => y
| false => z + y + y
end x1
namespace x2
def f (x : Nat) : Nat := x
end x2
namesp... |
ddae60c95521514f9fa282fa7bfb544824815f83 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Control/Basic.lean | d9e9218aaa218ab8fa88c9d47c462deb8d826544 | [
"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 | 9,739 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Core
universe u v w
@[reducible]
def Functor.mapRev {f : Type u → Type v} [Functor f] {α β : Type u} : f α → (α → β)... |
70b8698beae9139b5ff72d4f3921600c00c1d01a | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/set_theory/schroeder_bernstein.lean | 4aca6f87c4358ef1f8c5c81ac98177ab4df604cc | [
"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 | 6,245 | 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 order.fixed_points
import order.zorn
/-!
# Schröder-Bernstein theorem, well-ordering of cardinals
This file proves the Schröder-Bernstein the... |
5b282aec347eed833ffe8007354818a6ee56ae1a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/find_unused.lean | 3ab8c74762ed6b291e571c1bab347256f44d1458 | [
"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 | 4,383 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.core
/-!
# list_unused_decls
`#list_unused_decls` is a command used for theory development.
When writing a new theory one often tries
multiple variations of... |
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