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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a3bc8541369ef8df3d13d1513418bd20dcf87097 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /demo/test_case.lean | 8632c4be282c01d5ed3615f4024b326d1b6cbcf6 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 1,669 | lean | import ..expressions.time_expr_current
open lang.time
abbreviation F := lang.time.K
lemma k_eq_Q : F = ℚ := rfl --lang is configured for the rationals
def world_time_in_seconds_fr : time_frame_expr := [time_std_frame F]
def world_time_in_seconds : time_space_expr world_time_in_seconds_fr :=
[time_std_space F]
... |
ecdf4d6ccd65c0a003f28ca9d6e0411dcbaaa9ac | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/G_delta.lean | 600f631e71f56aa38d3f5d2f76a5e0e93331a6cd | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,288 | 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 topology.metric_space.emetric_space
/-!
# `Gδ` sets
In this file we define `Gδ` sets and prove their basic properties.
## Main defini... |
72d71738ae196a5bc9a7a753574d40e290bd4108 | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/eckmann_hilton.lean | 0b74d7c85038e4c909fd70362c3cf58839d00901 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 4,249 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau, Robert Y. Lewis
-/
import algebra.group.basic
/-!
# Eckmann-Hilton argument
The Eckmann-Hilton argument says that if a type carries two monoid structures that d... |
82ea536b0bf1d0cc287140b291ef14d3f80666a0 | f68ef9a599ec5575db7b285d4960e63c5d464ccc | /Exercises/basics_construction.lean | 7f2b2cdd0f71f68f6bd787e99fef9dc58906523a | [] | no_license | lucasmoschen/discrete-mathematics | a38d5970cc571b0b9d202bf6a43efeb8ed6f66e3 | 0f1945cc5eb094814c926cd6ae4a8b4c5c579a1e | refs/heads/master | 1,677,111,757,003 | 1,611,500,097,000 | 1,611,500,097,000 | 205,903,359 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 950 | lean | variables A B C: Prop
--IMPLICATION
section
example : A → B :=
assume h : A,
show B, from sorry
end
section
variable h1 : A → B
variable h2 : A
example : B := h1 h2
end
--CONJUNTION
section
variables (h1: A) (h2: B)
example : A ∧ B := and.intro h1 h2
end
section
variable h3: A ∧ B
... |
438f4a706baa2572b21f1998ebc1975cc21ca142 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/choose.lean | 88d829e787b71026540981ea9b7ccd4f6f7b3568 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,690 | lean | import tactic.choose
/- choice -/
example (h : ∀n m : ℕ, n < m → ∃i j, m = n + i ∨ m + j = n) : true :=
begin
choose i j h using h,
guard_hyp i : ∀n m : ℕ, n < m → ℕ,
guard_hyp j : ∀n m : ℕ, n < m → ℕ,
guard_hyp h : ∀ (n m : ℕ) (h : n < m), m = n + i n m h ∨ m + j n m h = n,
trivial
end
example (h : ∀n m : ... |
1f5282e3eb7e78a8f663cbf640c586b114e29625 | 46ee5dc7248ccc9ee615639c0c003c05f58975cd | /src/examples.lean | d17848bbd510dce5cc025b7fc78bfcb9f808a2c8 | [
"Apache-2.0"
] | permissive | m4lvin/tablean | e61d593b4dde6512245192c577edeb36c48f63c0 | 836202612fc2bfacb5545696412e7d27f7704141 | refs/heads/main | 1,685,613,112,076 | 1,676,755,678,000 | 1,676,755,678,000 | 454,064,275 | 8 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,098 | lean | -- EXAMPLES
import syntax
import semantics
open has_sat
lemma mytaut1 (p : char) : tautology ((·p) ↣ (·p)) :=
begin
unfold tautology evaluate,
intros W M w,
simp, unfold evaluate, tauto,
end
open classical
lemma mytaut2 (p : char) : tautology ((~ (~ · p)) ↣ · p) :=
begin
unfold tautology evaluate,
intros... |
6e75a756d091dc810fe3d4ce843d81d087900ced | 09d257052fff016351aa80a67b1329d43abfa651 | /library/init/meta/widget/interactive_expr.lean | 33039742cf26e6ba63512cccf7b6601d78c273f3 | [
"Apache-2.0"
] | permissive | jipsen/lean | 393b0da6988eb9896c927a026694f25a9fa0736b | 6f28a08d5ab7385f42c665ec2fb6895d1a65b076 | refs/heads/master | 1,667,767,831,701 | 1,592,268,582,000 | 1,592,268,582,000 | 272,565,036 | 0 | 0 | Apache-2.0 | 1,592,263,894,000 | 1,592,263,893,000 | null | UTF-8 | Lean | false | false | 7,640 | lean | /-
Copyright (c) E.W.Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: E.W.Ayers
-/
prelude
import init.meta.widget.basic
import init.meta.widget.tactic_component
import init.meta.tagged_format
import init.data.punit
meta def subexpr := (expr × expr.address)
name... |
05091d8fb81ff22bd92ba513271a096444137b17 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Parser/Command.lean | 4f4255f2c4f3da79bd61a7045efeaaaa5493bc08 | [
"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 | 10,348 | 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.Term
import Lean.Parser.Do
namespace Lean
namespace Parser
/--
Syntax quotation for terms and (lists of) commands.... |
9dae74c84c3e4364cc49ab276223efe70b05c9e5 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.13.lean | 091efe49843ef548fc800eccfd25ed6a00fc6a2c | [] | 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 | 325 | lean | import standard
namespace hide
variables {A : Type} (R : A → A → Prop)
-- BEGIN
definition symmetric : Prop := ∀ ⦃a b : A⦄, R a b → R b a
definition transitive : Prop := ∀ ⦃a b c : A⦄, R a b → R b c → R a c
definition euclidean : Prop := ∀ ⦃a b c : A⦄, R a b → R a c → R b c
-- END
end hide
|
c6b313addace8ae44c67f12a30355da846726eb5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/model_theory/semantics.lean | 4a946f2219829cf182b3b8aee6526982c9968dba | [
"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 | 37,182 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import data.finset.basic
import model_theory.syntax
/-!
# Basics on First-Order Semantics
T... |
5b6f25c6e747e7f978abf61990a21b9fd85f6f97 | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/species/congruence.lean | 1ffd077e42e45c86295aac83ca221870104ad124 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,263 | lean | import data.cpi.species.basic
namespace cpi
namespace species
variables {ℍ : Type} {ω : context}
/-- A chain of rewrite rules, to transform a species from one kind to another
equivalent one. -/
@[nolint has_inhabited_instance]
inductive equivalent : ∀ {Γ} (A B : species ℍ ω Γ), Type
| refl {Γ} {A : species ℍ ω ... |
cd7ecb068314067b64276bc6b3f3c559b4a3dfc5 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /tactic/basic.lean | 0c5b4e38754693c98912d67a534f75bd22d97321 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 4,033 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
namespace expr
open tactic
protected meta def to_pos_nat : expr → option ℕ
| `(has_one.one _) := some 1
| `(bit0 %%e) := bit0 <$> e.to_pos_nat
| `(bit1 %%e) := bit1... |
5598cfe82653a3381ca2dc0de85e52860e44fb0e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/deprecated/group.lean | 0a5c6b03a9a71d5aa0b1d1559a89beae9c7bc4e3 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 12,701 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.group.type_tags
import algebra.hom.equiv
import algebra.hom.units
import algebra.ring.basic
/-!
# Unbundled monoid and group homomorphisms
This fil... |
75d0ab3bc19422c2d37bc1661a57fa80af29a91c | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/data/set/basic.lean | 662817b359f26ee0c34c9ac48659d0dc3de0e3fa | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 97,253 | 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... |
68ca69862ac894c34d3a16f0259326de53624c18 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/omega/int/dnf.lean | 07074ea3af55453e5e69fd36406a31e0069c25ab | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 5,884 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
DNF transformation.
-/
import tactic.omega.clause
import tactic.omega.int.form
namespace omega
namespace int
open_locale omega.int
@[simp] def push_neg : form → form
| (p ∨* q... |
f26af73fb38e43d2153df716e76a7ee15235eb9b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/complex/is_R_or_C.lean | 5c8b7e2e57240acbdee3e92cc57e07318076b7cd | [
"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 | 36,369 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
import analysis.normed_space.star.basic
/-!
# `is_R_or_C`: a typeclas... |
bd569ca44d6e77f54df1efeb7500a6f7e024e28b | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /hott/algebra/precategory/constructions.hlean | 3c877c937ea077e9013dce94963f8f000af014ac | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,929 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.precategory.constructions
Authors: Floris van Doorn, Jakob von Raumer
This file contains basic constructions on precategories, including common precategories
-/
import .nat... |
13c848530010dc1a39cfbc8e719f8a9de5b3e5a2 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/metric_space/closeds.lean | 2655f95e0c8a89e571408fdeecdbd79c93c5581e | [
"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 | 21,191 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.specific_limits.basic
import topology.metric_space.hausdorff_distance
import topology.sets.compacts
/-!
# Closed subsets
This file defines the... |
f9796129e3a5bbfae4279681f2b3d86e201c4498 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/functor.lean | 18f74762dcea12ae48bb65cb899ca1c3ef6b64cf | [
"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 | 17,752 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison, Bhavik Mehta
-/
import category_theory.monoidal.category
import category_theory.adjunction.basic
import category_theory.products.basic
/-!
# (Lax... |
f6b162fd1546b57cc31d75f0b43528db8ef57559 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/big_operators/basic.lean | bc631d20acf4204c4e040cb5a465b6a05d1c84b5 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 43,445 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
6336cca7abb1d38cf3b7325d3ee6a34f91ef6d02 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/advanced_addition/02.lean | 1c681f0add4ea8683442f34e091aabe43275f904 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 125 | lean | theorem succ_succ_inj {a b : mynat} (h : succ(succ(a)) = succ(succ(b))) : a = b :=
begin
exact succ_inj (succ_inj h),
end
|
05347595f29ed7d400e524066f08191c91549fa6 | 8e691ffe296a38e3e9dc95845e5b607422c3c973 | /src/tactic/basic.lean | 6a8b62a8992b6aeb31bf7e46583eee12399b5f9e | [
"Apache-2.0"
] | permissive | jmvlangen/mathlib | 8d847f7831f0e8ddebc99568704530af7c9e1a50 | 82f79a58df3047b8002bbaf90ce50da2a978e114 | refs/heads/master | 1,588,094,154,678 | 1,552,412,266,000 | 1,552,412,266,000 | 175,439,673 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,029 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic category.basic meta.expr meta.rb_map
namespace expr
open tactic
attribute [derive has_reflect] bin... |
837e3236ad0a61dc48843bbc9f59579a06d184e2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/homeomorph.lean | 24f8e1f6c8068b9c7a55b94ff48328505ef776f9 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,801 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.dense_embedding
import... |
458f3e5a80d824f31985e03c320da3a8a8e9cfb4 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/logic.lean | 2d5d42405227a0e8ee4990f1c3a9ec68a67de02f | [
"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 | 39,065 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.core
universes u v w
@[simp] lemma opt_param_eq (α : Sort u) (default : α) : opt_param α default = α ... |
b7d2627bcbced502f7deea80b6dd76eeb4eec46e | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/directed.lean | 92cbb093cab4df76630d7e7b89b8e66b40880717 | [
"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 | 7,602 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.set.basic
import order.lattice
import order.max
/-!
# Directed indexed families and sets
This file defines directed indexed families and directed sets. ... |
5469f3ae4b71fc56f18e7aecfb683d487050aea8 | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/process/basic.lean | 726290f1dd6f87c2e0d40928365295ce7dda6615 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 628 | lean | import data.cpi.species
namespace cpi
/-- The set of processes. Defined as one or more species, each with a
non-negative concentration. Processes range over the type of concentrations
(ℂ) and affinities/reaction rates (ℍ).
The context parameter represents the "global affinity network", in which
all p... |
a923268ff83d11fc08461230238220e6917b1b43 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/filter.lean | 2adb2b03378c200cd2084dead7d109860d4d3c67 | [
"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 | 8,625 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.filter.lift
import topology.separation
import data.set.intervals.monotone
/-!
# Topology on the set of filters on a type
> THIS FILE IS SYNCHRONIZED ... |
6e3cb20df5dd42b7e8a34d607a070706ecff1b46 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/ind1.lean | 2450b79c3c1be259e6718b3c1b90570511087a59 | [
"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 | 167 | lean | inductive list (A : Type) : Type :=
nil : list A,
cons : A → list A → list A
namespace list end list open list
check list.{1}
check cons.{1}
check list.rec.{1 1}
|
490a06018ff0ea92a9ed8c34e83389b069fabfab | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Elab/Level.lean | 5c9cb61aafdacb30458ce5ad1589dc1500f02445 | [
"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 | 2,414 | 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.LevelDefEq
import Lean.Elab.Exception
import Lean.Elab.Log
namespace Lean.Elab.Level
structure Context :=
(ref : Syntax)
(leve... |
15adaae315c279acb48209bdc206afa0cbf0e743 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/postponeBinRelIssue.lean | f7603018836c756072ba9737f4758d8c55548d63 | [
"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 | 558 | lean | def as := [-1, 2, 0, -3, 4]
#eval as.map fun a => ite (GE.ge a 0) [a] [] -- Works
#eval as.map fun a => ite (a ≥ 0) [a] [] -- Fails if we use `withSynthesize` instead of `withSynthesizeLight` at `elabBinRel`
example : True :=
/-
Requires type annotation at the numeral, otherwise we get a type error at `rfl`
be... |
5614d0f4fa9a267f7ddabffd0ebfbc2fee2934eb | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/1374.lean | a0c3b741c84e7ae34ec516c62875b00c27042abe | [
"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 | 382 | lean | import Lean
/-- My new test option -/
register_option test : Nat := {
defValue := 10
descr := "testing"
}
/-- My new builtin test option -/
register_builtin_option testb : Nat := {
defValue := 10
descr := "testing"
}
/-- My new simp attribute -/
register_simp_attr mysimp "my simp attr"
/-- config elab... |
dce378c76ecc7ab862f0b4c3431cf8b536e6c999 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Elab/Do.lean | b73fba92c8da49b22a1dfbc304d8505ccea66eed | [
"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 | 67,157 | 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.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.Match
import Lean.Elab.Quotation.Util
import Lean.Parser.Do
namespace Lean.Elab.Term
open L... |
c6f14c747bda4c9cd5de523fb5a2e82c3da2a862 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/def5.lean | ef25c02b8a0a6e181fc2769173536f4f4ccb671e | [
"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 | 95 | lean |
section
parameter (A : Type)
definition f : A → A :=
λ x, x
check f
end
check f
|
3b398951f328228300d20487731b7f62dfe8c7ef | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/init/reserved_notation.hlean | 5c81c8fabe2ec98ae1a46b10fa4269891557e77a | [
"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 | 2,261 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.datatypes
notation `assume` binders `,` r:(scoped f, f) := r
notation `take` binders `,` r:(scoped f, f) := r
/-
Global declaratio... |
87353f141470b64f84643cf5e197b32ef978ac6f | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/list/perm.lean | 5f59bbd8225c51650ddaa05eb50e4afcad465264 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 43,107 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.list.bag_inter
import data.list.erase_dup
import data.list.zip
import logic.relation
/-!
# List permutations
-/
... |
22ed74b5d982c474cf56157d6d22a45b956a159f | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/decidable.lean | 636a605b5031aaa75a9c9309103309a49a521a5b | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 237 | lean | import standard unit decidable if
using bool unit decidable
variables a b c : bool
variables u v : unit
set_option pp.implicit true
check if ((a = b) ∧ (b = c) → ¬ (u = v) ∨ (a = c) → (a = c) ↔ a = '1 ↔ true) then a else b
|
70fa185bb613560d933841c51f852d5047498b11 | a1179fa077c09acc49e4fbc8d67084ba89ac4f4c | /tutorials/src/solutions/03_forall_or.lean | d4d630367e96f44b44671519577577e720e4a182 | [] | no_license | Seeram/Lean-proof-assistant | 11ca0ca0e0446bacdd1773c4c481a3653b2f1074 | e672d46e0e5f39d8de2933ad4f4cac095ca6094f | refs/heads/master | 1,682,754,224,366 | 1,620,959,431,000 | 1,620,959,431,000 | 299,000,950 | 0 | 1 | null | 1,620,680,462,000 | 1,601,200,258,000 | Lean | UTF-8 | Lean | false | false | 8,904 | lean | import data.real.basic
import algebra.group.pi
set_option pp.beta true
/-
In this file, we'll learn about the ∀ quantifier, and the disjunction
operator ∨ (logical OR).
Let P be a predicate on a type X. This means for every mathematical
object x with type X, we get a mathematical statement P x.
In Lean, P x has ty... |
9798c1ed474081ea6c17b57faf31d7eb5f1386c5 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/omega/nat/form.lean | 9c08991fe0c51ff305328cc9284584796a4a9161 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 5,767 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
Linear natural number arithmetic preformulas in pre-normalized preform.
-/
import tactic.omega.nat.preterm
namespace omega
namespace nat
/-- Intermediate shadow syntax ... |
5cc170985ee61602494793489b6b6160828ae2da | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/linear_algebra/basic.lean | a01d775a1facde530c3e846b28b753c432d638e5 | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 106,780 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.module.prod
import algebra.module.submodule
im... |
8a7fc0437a221b3748d8d338221374fdcc9394f0 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/module/pi.lean | 8342914109ff97672d51c15447e9e5b7aeb513fb | [
"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 | 8,776 | 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
-/
import algebra.module.basic
import algebra.regular.smul
import algebra.ring.pi
/-!
# Pi instances for module and multiplicative actions
This file defines ... |
ddb751cfa552507f26a3ffb6bb56477584da0eac | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0509.lean | 5973d1021eafb76ec3fe1a9f8f5f4b7b076b3080 | [] | 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 | 138 | lean | example (p q r : Prop) (hp : p) (hq : q) (hr : r) : p ∧ q ∧ r :=
begin
split,
any_goals { split },
any_goals { assumption }
end
|
d96776ab60e364cb13dd73cc6b331b400bfc7c54 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/real/nnreal.lean | 2b3b8b9fe6c4b94f2d418bcff3854ffb7a566c8f | [] | 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 | 25,753 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.linear_ordered_comm_group_with_zero
import Mathlib.algebra.big_operators.ring
impor... |
59982b218ee9b14b804896dc8f876205d2f342e4 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/tactic/lift.lean | 04e0d27e069c632228db8c52bb837380fae8112b | [
"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 | 9,965 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.rcases
/-!
# lift tactic
This file defines the `lift` tactic, allowing the user to lift elements from one type to another
under a specified conditi... |
30b8cceb4320a1e5de09da094ba2f55ca2f3887f | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/init/default.lean | 82bbeb67a19f83e76e874ccdb59284f146c423b8 | [
"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 | 448 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.datatypes init.reserved_notation init.tactic init.logic
import init.relation init.wf init.nat init.wf_k init.prod init.priority
import i... |
5d830f8e28202819572530282267c40828ac1f25 | 2f8bf12144551bc7d8087a6320990c4621741f3d | /tests/lean/run/float_cases_bug.lean | 8b44045be94d11a48305d4fc41dc1d6ed3607ff1 | [
"Apache-2.0"
] | permissive | jesse-michael-han/lean4 | eb63a12960e69823749edceb4f23fd33fa2253ce | fa16920a6a7700cabc567aa629ce4ae2478a2f40 | refs/heads/master | 1,589,935,810,594 | 1,557,177,860,000 | 1,557,177,860,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 63 | lean | def foo (xs : List Nat) :=
xs.span (λ n, ↑(toBool (n = 1)))
|
f06c5d58f5631a67f1ddae1ef2fff14be96d1382 | abd85493667895c57a7507870867b28124b3998f | /src/algebra/big_operators.lean | 470a207b0e70cc8ef19d96c43b1ef4dc101010ec | [
"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 | 55,830 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset
import data.nat.enat
import tactic.omega
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifically, `fin... |
cedfc587102b8b5d40d0edde296292e2becc6c83 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/function_field.lean | b5bbdfe4aaff29f3f048e3c6740e75e1a94e30d6 | [
"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 | 8,167 | 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 algebraic_geometry.properties
/-!
# Function field of integral schemes
We define the function field of an irreducible scheme as the stalk of the generic point.
Thi... |
2e29c3075e0c4b872a5b8bcdab479c076796d484 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Compiler/InitAttr.lean | 13e156a5253c3bc454c428fe8d0a1f19b7b6829d | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,257 | 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.Environment
import Lean.Attributes
namespace Lean
private def getIOTypeArg : Expr → Option Expr
| Expr.app (Expr.const `IO _ _) arg _ => som... |
c5a19142d7a3f9bdb08160dc42be986a0431443b | e031d1fbf8353b338e3189e0d9aec3adb5bb0512 | /src/free.lean | 32c9fd2d3e26f29321b157c3ed7de527b85c115c | [
"Apache-2.0"
] | permissive | UniversalAlgebra/lean-ualib | e64431a70007a835b1dd933d66be04ffca118601 | ab9cbddbb5bdf1eeac4b0d5994bd6cad2a3665d4 | refs/heads/master | 1,584,931,281,084 | 1,558,364,533,000 | 1,558,364,533,000 | 140,986,567 | 6 | 0 | Apache-2.0 | 1,532,718,578,000 | 1,531,613,794,000 | Lean | UTF-8 | Lean | false | false | 1,427 | lean | import basic
section
parameters (S : signature) (X : Type*)
inductive term
| var : X → term
| app (f : S.F) : (S.ρ f → term) → term
def free : algebra S :=
⟨term, term.app⟩
end
section
parameters {S : signature} (A : algebra S) (X : Type*)
open term
def free_ := free S X
def var_ := @var... |
05febde2e2e4cca3c5a2f31d489818f8e2d2e6b0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/hall/finite.lean | e28815707c68ddb76f3755867629ecbd6706d6ba | [
"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 | 11,060 | lean | /-
Copyright (c) 2021 Alena Gusakov, Bhavik Mehta, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alena Gusakov, Bhavik Mehta, Kyle Miller
-/
import data.fintype.basic
import data.set.finite
/-!
# Hall's Marriage Theorem for finite index types
> THIS FIL... |
c59eb289d626f35ef8c3841dc7234c2365bd662b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/ideal.lean | 060af0cc9908dc35311b5d43e73bef0f5684ccaf | [
"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 | 19,128 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import data.equiv.encodable.basic
import order.atoms
/-!
# Order ideals, cofinal sets, and the Rasiowa–Sikorski lemma
## Main definitions
Throughout this file, `P` is at l... |
72df34dd97ba1aa8c93531533627714a248360f9 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/topology/basic.lean | 113358a28ad41267c8be2e29422ac5e2d50e8f2a | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51,861 | 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, Jeremy Avigad
-/
import order.filter.ultrafilter
import order.filter.partial
noncomputable theory
/-!
# Basic theory of topological spaces.
The main ... |
3441e193320456beb621ada2550e138199280efd | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/test_perm_ac1.lean | 2a9cd0049b1834e22665de4f78f2c729dc0d3bc3 | [
"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 | 1,653 | lean | exit
open expr decidable tactic nat
meta definition is_poly_bin_app : expr → option name
| (app (app (app (app (const op ls) A) s) lhs) rhs) := some op
| _ := none
meta definition is_add (e : expr) : bool :=
match (is_poly_bin_app e) with
| (some op) := to_bool (op = `add)
| none := ff
end
meta definition pe... |
8a3556baabc8138755d8bc43e9d67cbb8b092f08 | b09a2e9262f956dc3ebbaafbbd5abfcd4e9401b7 | /src/Sample.lean | 8f96f0ec2b8695f0b1f1b2ed4c51e930442d9619 | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/sample-zero | 6242f41c89d929a094d17b49d937e39f1b46b397 | 01814df40a32dd5aa43da486b94218d5744b0b41 | refs/heads/master | 1,656,630,587,181 | 1,655,472,673,000 | 1,655,472,673,000 | 205,373,507 | 1 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 71 | lean | import Init.System.IO
def main : IO Unit :=
IO.println "Hello World!"
|
f3746e26a6e5f72faf5fff743f8bccf7e11076a4 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/generalize_proofs.lean | 137e7b4d185844cd844a995da92d295af9d3c34b | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 2,290 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
namespace tactic
private meta def collect_proofs_in :
expr → list expr → list name × list expr → tactic (list name × list expr)
| e ctx (ns, hs) :=
let go (tac : ... |
5e743a9fe9288d473b05cc51775b5a1ab385be50 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/congr_auto.lean | a6c0f1f29ef446da9fa9f6cfa9a7a5e825e67968 | [] | 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 | 5,150 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.lint.default
import Mathlib.tactic.ext
import Mathlib.PostPort
namespace Mathli... |
fb869381ce1b0266864626c0db015c90eb9f2d65 | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/topos.lean | b9601872571587a0b247c3780bf1f3c42c6e7d98 | [] | no_license | b-mehta/topos | c3fc43fb04ba16bae1965ce5c26c6461172e5bc6 | c9032b11789e36038bc841a1e2b486972421b983 | refs/heads/master | 1,629,609,492,867 | 1,609,907,263,000 | 1,609,907,263,000 | 240,943,034 | 43 | 3 | null | 1,598,210,062,000 | 1,581,877,668,000 | Lean | UTF-8 | Lean | false | false | 19,768 | lean | import category_theory.full_subcategory
import category_theory.limits.creates
import category_theory.reflects_isomorphisms
import category_theory.limits.preserves.shapes.binary_products
import category_theory.adjunction.fully_faithful
import category_theory.adjunction.limits
import category_theory.closed.cartesian
impo... |
fe9f5dc6baf8d7fac3dffe28618e96cd6603d43f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed/group/hom.lean | 89bb35bccb42a46f57af010d60ad8008d5602ae9 | [
"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 | 38,523 | 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 analysis.specific_limits.normed
/-!
# Normed groups homomorphisms
This file gathers definitions and elementary constructions about bounded group homomorphis... |
dff796b4f6ab8de225360d8989a0b2e9ece13f26 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/cases_eq.hlean | bcd6673ecdb0c467f6028a3ed1ae07a322b380ac | [
"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 | 505 | hlean | open eq
theorem trans {A : Type} {a b c : A} (h₁ : a = b) (h₂ : b = c) : a = c :=
begin
cases h₁, cases h₂, apply rfl
end
theorem symm {A : Type} {a b : A} (h₁ : a = b) : b = a :=
begin
cases h₁, apply rfl
end
theorem congr2 {A B : Type} (f : A → B) {a₁ a₂ : A} (h : a₁ = a₂) : f a₁ = f a₂ :=
begin
cases h, app... |
2eb35d177cb88e2ad1a7c5084e81c89500e9a71c | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /na4zagin3/chp-5.lean | eca1ec6b679124cbe0e12b1418840a5c15bbd885 | [] | 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 | 3,582 | lean | section sec_3_redo
open classical
variables p q r s : Prop
-- commutativity of ∧ and ∨
example : p ∧ q ↔ q ∧ p :=
begin
split; {
intro h,
cases h with p q,
split; assumption
}
end
example : p ∨ q ↔ q ∨ p :=
begin
split; {
intro h,
cases h with p q; { left; assumption } <|> { right; assumptio... |
ba101d1e43c7b5bd698030cebcbe1ea7141d6cc1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/smt_ematch1.lean | 23d0d718f7973691b7903ac00e8d423ccecae2da | [
"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 | 1,665 | lean | constant f : nat → nat
axiom fax : ∀ x, f x = x
attribute [ematch] fax
lemma ex1 (a b c : nat) : f a = b → b = f c → a = c :=
begin [smt]
intros,
trace_state,
ematch
end
constant g : nat → nat → nat
axiom gax : ∀ x, g x x = x
lemma ex2 (a b c d e : nat) : d = a → c = e → g a d = b → b = g e c → f a = c :=
beg... |
82f7ebd6367f825491031b7452ed7557d427a6b6 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Server/FileWorker/WidgetRequests.lean | 1978923009fca21834c78ef2dd98ccf18c7a7ec8 | [
"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 | 5,263 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Widget.Basic
import Lean.Widget.InteractiveCode
import Lean.Widget.InteractiveGoal
import Lean.Widget.InteractiveDiagnostic
import Lean.Server... |
4c14a38a227004d533b160626ee5da11933c72d0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/sigma_auto.lean | 3e518c6eba2e323b17fb53d18862e7db0038c498 | [] | 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 | 21,202 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Sean Leather
Functions on lists of sigma types.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.perm
import Mathlib.data.list.r... |
bee4c9d2c324702c7e95fe9f7d86aa2720418cc2 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/constructions.lean | ce92676e0e74e9b0ceba7c318880013252580b00 | [
"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 | 33,270 | 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... |
5e099b85c014bdbe1ba9fc96ab31dd232b6af59b | c777c32c8e484e195053731103c5e52af26a25d1 | /archive/imo/imo1988_q6.lean | 044358ba8f7bdc90d5ebe16e721119a9dbca046a | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 13,892 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.nat.prime
import data.rat.defs
import order.well_founded
import tactic.linarith
import tactic.wlog
/-!
# IMO 1988 Q6 and constant descent Vieta jumping
... |
2da6e56e9e204fa091e9e793f5b5b54afa3af5d6 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category_theory/whiskering.lean | e38ff46dbe522494e17625171bf60c2fc88177b5 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 3,500 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.functor_category
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃ u₄ v₄
variables (C : Type u₁) [𝒞 : category.{u₁ v₁} C]
... |
e4c223bf55eed3cab0e10d020205fb90f8ce885d | 1437b3495ef9020d5413178aa33c0a625f15f15f | /group_theory/group_action.lean | 6a79d022099621bda3a5aaf287bd984c19269550 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,130 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.finite group_theory.coset
universes u v
variables {α : Type u} {β : Type v}
class is_monoid_action [monoid α] (f : α → β → β) : Prop :=
(one : ∀ a : β, ... |
0c044ef0d14cbc08468ea060f8be84c76ca7e2bb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/homology/image_to_kernel.lean | 3af24858d8049058a0e5ff98bce314990a2be8d8 | [
"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 | 14,783 | 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 category_theory.subobject.limits
/-!
# Image-to-kernel comparison maps
Whenever `f : A ⟶ B` and `g : B ⟶ C` satisfy `w : f ≫ g = 0`,
we have `image_le_kernel... |
656714b0593a807542e1642981210afe3a322d04 | 7b02c598aa57070b4cf4fbfe2416d0479220187f | /algebra/quotient_group.hlean | ad81334463368a8b8c0840e05ba3b9c4508ab791 | [
"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 | 25,795 | 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, Egbert Rijke
Constructions with groups
-/
import hit.set_quotient .subgroup ..move_to_lib types.equiv
open eq algebra is_trunc set_quotient relation sigma sigma.... |
460bd284bb114a149fd8e285454b3425bbd10e93 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/control/applicative.lean | bf7db7cf485496b801f20fc087c7db96bb645d8f | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,695 | lean |
import category.basic
import util.data.functor
universe variables u v w u' v' w'
attribute [norm] seq_assoc pure_seq_eq_map map_pure
class applicative_pair (f : Type u → Type v) (g : Type u' → Type v') extends functor_pair f g :=
(f_appl : applicative f)
(g_appl : applicative g)
(map_pure_comm : ∀ {α β}
... |
9826885615009b95bffed00519a146266b34f326 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/archimedean.lean | 7efb0f3ef1c51d0c534ffd147a1f3ef1a8477895 | [
"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 | 3,409 | lean | /-
Copyright (c) 2020 Heather Macbeth, Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Patrick Massot
-/
import algebra.order.archimedean
import group_theory.subgroup.basic
/-!
# Archimedean groups
> THIS FILE IS SYNCHRONIZED WITH MATH... |
3b0d01379cc98c56e22eb171e28a59ed1c5daf91 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/data/equiv/basic.lean | 212e0c88bbb3efc49ecce4e11f77e1c24d6ca423 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 38,984 | 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, Mario Carneiro
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
ba9c9fc8453c206e5cc1c493e09ef03249a54c8f | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/set_theory/cardinal.lean | 8709f010aa6216ceb202de302bf14ee5f3a1a89c | [
"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 | 42,547 | 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 data.set.countable data.quot logic.function set_theory.schroeder_bernstein
/-!
# Cardinal Numbers
We define cardinal numbers as a quotient of... |
ddec138c6e0d3b1764495c071118a70edb80beca | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/num.lean | a13fc16b28d2b9f28d0417e644d264e985c33ae7 | [
"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 | 2,033 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.bool
namespace pos_num
protected definition mul (a b : pos_num) : pos_num :=
pos_num.rec_on a
b
(λn r, bit0 r + b)
(λn ... |
d4831a4e72a751568c035a09fafcbe9ccacceb05 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/clifford_algebra/grading.lean | 9e1ce9f27a662730ac00835fe75b9bd6e0436d70 | [
"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 | 8,952 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.clifford_algebra.basic
import data.zmod.basic
import ring_theory.graded_algebra.basic
/-!
# Results about the grading structure of the clifford algeb... |
b7761eb3febec7e5466113f0b50309acb531d9ae | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/for_mathlib/SemiNormedGroup.lean | 710b7af1adeb4cd5d3e94612460c493896cd9da8 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,210 | lean | import analysis.normed_space.SemiNormedGroup
import analysis.normed_space.normed_group_quotient
import algebra.punit_instances
import category_theory.concrete_category.bundled_hom
import category_theory.limits.shapes.zero
import category_theory.limits.shapes.kernels
import category_theory.limits.creates
import for_ma... |
be5bf46cc80f55dcff8a11b702e0debec3d6f4c8 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/set/intervals/default.lean | b1d559584c8187b8232b2e3cf712e976cdc6b83d | [
"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 | 98 | lean | import data.set.intervals.basic data.set.intervals.disjoint data.set.intervals.unordered_interval
|
4fa8144b74ffe027a69aa58843da4151766204c7 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/matrix.lean | 2086d80bea1e1b22bf3701d598cdee6d8d3562a9 | [
"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 | 1,094 | lean | import logic
constant matrix.{l} : Type.{l} → Type.{l}
constant same_dim {A : Type} : matrix A → matrix A → Prop
constant add {A : Type} (m1 m2 : matrix A) {H : same_dim m1 m2} : matrix A
theorem same_dim_irrel {A : Type} {m1 m2 : matrix A} {H1 H2 : same_dim m1 m2} : @add A m1 m2 H1 = @add A m1 m2 H2 :=
rfl
open eq
t... |
e416ce7631253f531aa8a67818f0fd53e1951356 | 4bddde0d06fbd53be6f23d7f5899998e8f63410b | /src/tactic/iconfig/schema.lean | 10f94a728b9e7a0a9216f3f9b1c681b736536655 | [] | no_license | khoek/libiconfig | 4816290a5862af14b07683b3d2663e8e62832ef4 | 6f55c50bc5d852d26ee5ee4c5b52b2cda2a852e5 | refs/heads/master | 1,586,109,683,212 | 1,559,567,916,000 | 1,559,567,916,000 | 157,085,466 | 0 | 1 | null | 1,559,567,917,000 | 1,541,945,134,000 | Lean | UTF-8 | Lean | false | false | 302 | lean | import .types
namespace iconfig
meta def default_schema : schema := ⟨none, overload_policy.ignore⟩
namespace schema
-- TODO implement the other policy options
meta def apply (s : schema) : option cfgopt.value → option cfgopt.value
| none := s.default
| (some o) := o
end schema
end iconfig
|
3d000812edee9580c94a82fc5dba06b56b67cdc7 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/interactive_base.lean | 937a9655ef3af94e2a71bd058c0f98eed404a4d1 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 8,462 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.option.basic
import init.meta.lean.parser init.meta.tactic init.meta.has_reflect
open lean
open lean.parser
local postfix `?`:900... |
38612d55d168647c9c4b6692ecfc1e1b1fb9af10 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/topology/discrete_quotient.lean | 2adee6f6907f9bfd54609e4c98d792eecb573f2d | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,203 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Calle Sönne, Adam Topaz
-/
import topology.separation
import topology.subset_properties
import topology.locally_constant.basic
/-!
# Discrete quotients of a topological space.
This file... |
f23c3f02e3270fc81681c6cf02c4d44a37d0668c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/control/bitraversable/basic.lean | c91046710290f515fe0a36432ac9423e1416c6b9 | [
"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 | 3,132 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.bifunctor
import control.traversable.basic
/-!
# Bitraversable type class
Type class for traversing bifunctors.
Simple examples of `bitraversable` are `pr... |
a8b571d1e4eb877aa830fc51733bd7c8936abd56 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/algebra/ordered_field.lean | ecc1f67bf4c3112d2ae0dfa7e6d0ad6e1c3b8106 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,527 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
import algebra.ordered_ring
import algebra.field
import tactic.monotonicity.basic
/-!
# Linear ordered fields
A lin... |
43df3597c0c0cb917da3fc6144a7f5ce1ee1f490 | b392eb79fb36952401156496daa60628ccb07438 | /MathPort.lean | 1d63af0ddc18b825e630c22f0ad2845f07c2f9d8 | [
"Apache-2.0"
] | permissive | AurelienSaue/mathportsource | d9eabe74e3ab7774baa6a10a6dc8d4855ff92266 | 1a164e4fff7204c522c1f4ecc5024fd909be3b0b | refs/heads/master | 1,685,214,377,305 | 1,623,621,223,000 | 1,623,621,223,000 | 364,191,042 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,195 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import MathPort.Run
import MathPort.Path
import Lean
open Lean
open Lean.Meta
open MathPort
unsafe def main (args : List String) : IO Unit := do
match args... |
71b7aba2ac6d75183b8f310a4459a311198135bf | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/topological_fiber_bundle.lean | f093f71d473c844cd89eff0cb67bc8d48a4be1db | [
"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 | 23,718 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Fiber bundles
A topological fiber bundle with fiber F over a base B is a space projecting on B for which the
fibers ar... |
63836464ff9a157dd8afa6e5c5ab330bcf934bac | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/deriv.lean | ac9c2c6a3b5d50f76bbef615f1fa978cfba2d350 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,783 | lean | /- Benchmark for new code generator -/
import Init.System.IO
inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
| Pow : Expr → Expr → Expr
| Ln : Expr → Expr
namespace Expr
unsafe def pown : Int → Int → Int
| a, 0 => 1
| a, 1 => a
| a, n =>
let b := pown... |
fb0b3bcee0dbe494e2f4308d21deaf71ee650285 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/algebra/group_power/lemmas.lean | ab7b07c2602e60bf8d28382830ba6c9be93bbbe0 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,652 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.group_power.basic
import algebra.invertible
import algebra.opposites
import data.list.basic
import data.int.cast
import data.equiv.basic... |
31f54b490f91a4354acc7cd442034382d952c7e3 | 274748215b6d042f0d9c9a505f9551fa8e0c5f38 | /src/for_mathlib/topological_space.lean | 8949f140a9961323d0f933005f580f2363dcd4e5 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M4P33 | 878ecb515c77d20cc799ff1ebd78f1bf4fd65c12 | 1a179372db71ad6802d11eacbc1f02f327d55f8f | refs/heads/master | 1,607,519,867,193 | 1,583,344,297,000 | 1,583,344,297,000 | 233,316,107 | 59 | 4 | Apache-2.0 | 1,579,285,778,000 | 1,578,788,367,000 | Lean | UTF-8 | Lean | false | false | 7,229 | lean |
import topology.maps topology.subset_properties
example : ℕ := 691
open_locale classical
-- x ∈ closure S if and only if x ∈ C for all closed sets containing S.
lemma mem_closure_iff' {X : Type*} [topological_space X] {S : set X} {x : X} :
x ∈ closure S ↔ ∀ C : set X, is_closed C → S ⊆ C → x ∈ C :=
begin
rw mem... |
1df44a56ae32656dacc3715563eefe64e20043d4 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/normed_space/multilinear.lean | 5f8748cf47246df87617f7ce2e568b61c94413eb | [
"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 | 54,337 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
9fbce3a662caefd1e46e1c044a5e9391d5d50c78 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/homotopy/smash.hlean | c9b3206cafa79dce09a169c7bad454db778e7693 | [
"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 | 6,788 | 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... |
4bcadf90346e27074380c30ee84d6bb41dff117f | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/types/pointed.hlean | 2c7143aec382705e3fc236f5c49cec6a8fff3085 | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,804 | hlean | /-
Copyright (c) 2014 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
Ported from Coq HoTT
-/
import arity .eq .bool .unit .sigma .nat.basic prop_trunc
open is_trunc eq prod sigma nat equiv option is_equiv bool unit... |
56021475db0bff09a14f08ea31b9a3a8062e4e97 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/coe.lean | b0afde1b3114f11895a48d340af0610ef5bdf010 | [
"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 | 6,644 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
/-
The elaborator tries to insert coercions automatically.
Only instances of has_coe type class are considered in the process.
Lean also provides a "lifti... |
005e7fe8dbdfee7edf3558dc0000de1fdc7506cd | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/explode_widget.lean | 75fad7f24a25d7ba40915d683bc1e4b7e659ce70 | [
"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 | 10,203 | lean | /-
Copyright (c) 2020 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu
-/
import tactic.explode
import tactic.interactive_expr
/-!
# `#explode_widget` command
Render a widget that displays an `#explode` proof, providing more
interactivity such as... |
d90324a4c0e731466da46f13a23a270332454e92 | ad3e8f15221a986da27c99f371922c0b3f5792b6 | /src/week-02/e04-trees.lean | 91ff3edcd64e2b369cd714fc4eb1632df54b5bcd | [] | no_license | VArtem/lean-itmo | a0e1424c8cc4c2de2ac85ab6fd4a12d80e9b85f1 | dc44cd06f9f5b984d051831b3aaa7364e64c2dc4 | refs/heads/main | 1,683,761,214,467 | 1,622,821,295,000 | 1,622,821,295,000 | 357,236,048 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,216 | lean | import data.nat.basic
import tactic
namespace tree
-- Определим двоичное дерево, где у каждой внутренней вершины ровно два ребенка
-- Такое дерево либо состоит из одной вершины - листа, либо состоит из корня, у которого есть левое и правое поддерево
inductive Tree
| Leaf : Tree
| Branch (left : Tree) (right : Tree) :... |
50151bd382376d69d0648bf37fbb98ab38cbcbbc | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/init/default.lean | fd8425fd491868df154d6a4e09b67306cc1a1470 | [
"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 | 387 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.default
Authors: Leonardo de Moura
-/
prelude
import init.datatypes init.reserved_notation init.tactic init.logic
import init.relation init.wf init.nat init.wf_k init.prod ... |
55fe308f62a633824c681eca47c2497602a1899d | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/algebra/algebra/basic.lean | 9a2d25955430c843df749b80fc1c96fb30b5443a | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,693 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import tactic.nth_rewrite
import data.matrix.basic
import data.equiv.ring_aut
import linear_algebra.tensor_product
import ring_theory.subring
import deprecated... |
9502ddc01427f1880745743d548bd610c140317a | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /tests/tactics.lean | 4b01ebf68e53c8e80db9febb81e8ed4aabede90b | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 15,562 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import tactic data.set.lattice data.prod
tactic.rewrite data.stream.basic
section solve_by_elim
example {a b : Prop} (h₀ : a → b) (h₁ : a) : b :=
be... |
30105d10390694aa88a0648f76c78e447cd5b55b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/n_ary.lean | 79e9f331d4769026f52700d6930c75cf3d565b91 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 12,431 | 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 data.finset.prod
/-!
# N-ary images of finsets
This file defines `finset.image₂`, the binary image of finsets. This is the finset version of
`set.image2`. This i... |
cfe4c5fa752c21ff71d956a7f2937fe99c842c67 | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/valuation/field.lean | 021443630f6f354fda34d42855bbaf8b1c3c7bb2 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 28,969 | lean | import for_mathlib.topological_field
import for_mathlib.topology
import for_mathlib.division_ring
import for_mathlib.uniform_space.uniform_field
import valuation.topology
import topology.algebra.ordered
open filter set
local attribute [instance, priority 0] classical.decidable_linear_order
variables {Γ : Type*} [line... |
80a54141d57fc320a778d571449f127808155c44 | d8820d2c92be8052d13f9c8f8c483a6e15c5f566 | /src/Exercises/Exercies3.lean | 1b65eafa4b9aefbd3658917df123824856ddd694 | [] | no_license | JasonKYi/M4000x_LEAN_formalisation | 4a19b84f6d0fe2e214485b8532e21cd34996c4b1 | 6e99793f2fcbe88596e27644f430e46aa2a464df | refs/heads/master | 1,599,755,414,708 | 1,589,494,604,000 | 1,589,494,604,000 | 221,759,483 | 8 | 1 | null | 1,589,494,605,000 | 1,573,755,201,000 | Lean | UTF-8 | Lean | false | false | 925 | lean | /-
Exercise 3.
Let us define the binary relation ~> as follow:
Let X and Y be two sets, and f : X → V be some function between the sets, then ∀ x, y ∈ X, x ~> y if and only if f(x) = f(y).
Can you prove that ~> is an equivalence relation?
Replace the sorry for your proof.
Here are some basic tactics that might help :... |
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