blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d905803698354552c8bb6f0d82ec18c1d815c14d | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/group_theory/group_action/group.lean | d46ec78744272ac90c510d229772af91c19a623a | [
"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 | 7,523 | 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.equiv.mul_add_aut
import group_theory.group_action.units
/-!
# Group actions applied to various types of group
This file contains lemmas about `smul` on `gr... |
97810dfb6ef0eba69e0e1634f830f507c2a6bf9f | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/linear_algebra/basis.lean | ed6a596040a3cec0891de140ab8b33ed1756bf8b | [
"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 | 54,961 | 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, Alexander Bentkamp
-/
import linear_algebra.finsupp
import linear_algebra.projection
import order.zorn
import data.fintype.card
import data.finset.order... |
e4780136e76f0ccb4a0dd7c56df0bcc802c0b62e | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/order/bounded_lattice.lean | e4b32a79e8c5ad52af7efe9bcf0b1c475cffa0e1 | [
"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 | 48,340 | 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.option.basic
import logic.nontrivial
import order.lattice
import order.order_dual
import tactic.pi_instances
/-!
# ⊤ and ⊥, bounded lattices and variants... |
45309dde51d30f0128c271ef39e9fd0d5532e79f | 2731214ea32f2a1a985300e281fb3117640a16c3 | /portmanteau_open_closed_imp_borel.lean | 9e05556ff18eb10297268de0414711711f414a58 | [
"Apache-2.0"
] | permissive | kkytola/lean_portmanteau | 5d6a156db959974ebc4f5bed9118a7a2438a33fa | ac55eb4e24be43032cbc082e2b68d8fb8bd63f22 | refs/heads/main | 1,686,107,117,334 | 1,625,177,052,000 | 1,625,177,052,000 | 381,514,032 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,503 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import portmanteau_definitions
import portmanteau_topological_lemmas
import portmanteau_open_equiv_closed
noncomputable theory
open measure_theory
namespace portman... |
2d7277df467030ea3ff9079f20b4f5e96e370ea4 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /archive/100-theorems-list/16_abel_ruffini.lean | df1cae623a49dc269f63ffc67a94f0bea977363d | [
"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 | 8,296 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import field_theory.abel_ruffini
import analysis.calculus.local_extr
import ring_theory.eisenstein_criterion
/-!
Construction of an algebraic number that is not sol... |
b839942987d0af4b66c0b5dc39d461ea75bb5176 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/obviously.lean | d103fbf707eea6f89330ee77fb4b47d3cf88a642 | [
"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 | 1,704 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import tactic.tidy
import tactic.replacer
/-!
# The `obviously` tactic
This file sets up a tactic called `obviously`,
which is subsequently used throughout the cate... |
93caffbda4d79ab740071a9f567030d89519892f | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/slow/deep.lean | 51f935b00d993a63af6d852d56e79ee4fe9ea5a9 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 316 | lean | import Int.
definition f1 (f : Int -> Int) (x : Int) : Int := f (f (f (f x)))
definition f2 (f : Int -> Int) (x : Int) : Int := f1 (f1 (f1 (f1 f))) x
definition f3 (f : Int -> Int) (x : Int) : Int := f1 (f2 (f2 f)) x
variable f : Int -> Int.
set_option pp::width 80.
set_option lean::pp::max_depth 2000.
eval f3 f 0. |
d7d0369b271cbf999767af688199e25164d57816 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.17.lean | f3ecd0ed58bd7b4fdd34af5a2668e106a8a9ba5e | [] | 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 | 96 | lean | import standard
definition pr2 (A : Type) (a b : A) : A := b
local attribute pr2 [irreducible]
|
d6d08bf5f9626b9fb1d40b51b4968595a35ceb66 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/canonize.lean | 4db09d221266f978a12ad326fd3d89ae694eb309 | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 2,801 | lean | import tactic
import .cosette_tactics .TDP
open tactic
section canonize
meta inductive canonize_term_repr : Type
| sig : expr → list name → canonize_term_repr
| prod : list expr → canonize_term_repr
meta def expr_to_canonize_term_repr (ex : expr)
: tactic canonize_term_repr :=
match sigma_expr_to_sigma_repr ex ... |
8975d27b56378ddaa0a281e3e27fe2aad56d2000 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Meta/Match/CaseArraySizes.lean | 53d51c2145d23539d8fc438f696141fb06d8e9d3 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,827 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Assert
import Lean.Meta.Match.CaseValues
namespace Lean
namespace Meta
structure CaseArraySizesSubgoal :=
(mvarId : MVarId)
(elems... |
b7b6a72f6ce360810d487bf9075a9c717e56249b | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/qpf/multivariate/constructions/cofix.lean | 2bea5b6d2aa2bfe316e51326c39a4d3aef8c2c11 | [
"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 | 19,009 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Simon Hudon
-/
import control.functor.multivariate
import data.pfunctor.multivariate.basic
import data.pfunctor.multivariate.M
import data.qpf.multivariate.basic
/-!
# T... |
eca3b6ef58c4bc6307f87add1f6879dcd2ebaeb2 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/bool/lemmas.lean | 9426c81dee84311f2deeb8a05f418a3137c63878 | [
"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 | 4,124 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.bool.basic init.meta
attribute [simp] cond bor band bnot bxor
@[simp] lemma {u} cond_a_a {α : Type u} (b : bool) (a : α) : cond b... |
93dca854028be67bb728459e4630853c535b3358 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/topology/metric_space/gromov_hausdorff_realized.lean | 08dec722585caed6ab9f33995fb6a0231c15827a | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 26,991 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
Construction of a good coupling between nonempty compact metric spaces, minimizing
their Hausdorff distance. This construction is instrumental to study the Gromov-... |
8f3f45a8474abae9a598a74a90a13eae90cd1715 | bb31430994044506fa42fd667e2d556327e18dfe | /src/set_theory/cardinal/basic.lean | 880b32b1fcaf4859b197c786a011a5c3cb54e204 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 71,030 | 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, Floris van Doorn
-/
import data.fintype.big_operators
import data.finsupp.defs
import data.nat.part_enat
import data.set.countable
import logic.small.ba... |
b4c94d66ea30ee40e1c86039c8f19e173814f40f | 46125763b4dbf50619e8846a1371029346f4c3db | /src/algebra/euclidean_domain.lean | 42b467f49fcd42148bb318d79495be2ad7c1ca4e | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 13,887 | lean | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
Euclidean domains and Euclidean algorithm (extended to come)
A lot is based on pre-existing code in mathlib for natural number gcds
-/
import data.int.basic... |
cafff4866b1422347c5b5a725f02ae27223ec7eb | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/measure_theory/measure_space.lean | 9c4d751342e01151e2e4d5d62eff37d14fee39df | [
"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 | 117,329 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import measure_theory.outer_measure
import order.filter.countable_Inter
import data.set.accumulate
/-!
# Measure spaces
Given a measurable space `α`... |
21235e1176a430b2ab7d3cae289c8b01922170aa | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/field_theory/intermediate_field.lean | 65ddce1f7d00d6aebb6d8e47aed167643072e43a | [
"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 | 13,948 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.subfield
import field_theory.tower
import ring_theory.algebraic
/-!
# Intermediate fields
Let `L / K` be a field extension, given as an instance `alg... |
e2ecefead28fc45c2942686fbd6f8985fbe5ae96 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/monoidal/free/coherence.lean | a1314d9cb820a5727a50dc03f6275060a0a6ec97 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 12,093 | lean | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.monoidal.free.basic
import category_theory.groupoid
import category_theory.discrete_category
/-!
# The monoidal coherence theorem
In this file,... |
4c30a52bc92c3ecbebbf90907fd576fef155a7bc | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/contra1.lean | bacc9b0a5eab831a93a72e881d78a786f6b4291f | [
"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 | 346 | lean | open nat
example (a b : nat) (h : false) : a = b :=
by contradiction
example : ∀ (a b : nat), false → a = b :=
by contradiction
example : ∀ (a b : nat), (0:nat) = 1 → a = b :=
by contradiction
example : ∀ (a b : nat), id false → a = b :=
by contradiction
example : ∀ (a b : nat), id ((0:nat) = 1) → a = b :=
by cont... |
644697de041f22322ffd5988e53b9d03feef65d7 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/algebra/direct_limit.lean | b7597f916d5800e32cd0585e70556d92b7782e27 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 25,287 | lean | /-
Copyright (c) 2019 Kenny Lau, Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes
Direct limit of modules, abelian groups, rings, and fields.
See Atiyah-Macdonald PP.32-33, Matsumura PP.269-270
Generalizes the notion of "union", o... |
06e6733bf9119240583c6fc524ab2859a1f80178 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/group_theory/perm/via_embedding.lean | 432d161f65be8b2cb46588cb15808f71795e6c73 | [
"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 | 1,345 | 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
-/
import group_theory.perm.basic
import logic.equiv.set
/-!
# `equiv.perm.via_embedding`, a noncomputable analogue of `equiv.perm.via_fintype... |
5597ccba888b15e78b98f242fd2b1b0aba0197f0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/polynomial/cyclotomic/eval.lean | 266c5c6c3698c553f1e07dca03df450f12efee76 | [
"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 | 16,423 | lean | /-
Copyright (c) 2021 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import ring_theory.polynomial.cyclotomic.roots
import tactic.by_contra
import topology.algebra.polynomial
import number_theory.padics.padic_val
import analysis.compl... |
670c446a3b74f8941dfba8d29d1a770f190803cf | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/addition/1.lean | 25a5f5c547f92cdaaafa8aaf507adf3fb454b527 | [
"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 | 119 | lean | lemma zero_add (n : mynat) : 0 + n = n :=
begin
induction n with m hm,
rwa add_zero,
rw add_succ,
rwa hm,
end
|
fd58bf72eb0d1f87dfb85e4bc5059a8e03204911 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/algebra/subalgebra.lean | e0dad7043ab6513a4a7c65b247dc2a08a475079e | [] | 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 | 23,596 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.operations
import Mathlib.PostPort
universes u v l w u_1 u_2 u_3
... |
bcef4a4dfe2cc55dc64b21bce32081944202066c | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/linear_algebra/finsupp.lean | 9f7654935c420307a8ee59af5bf25366ac456119 | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 17,107 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `α →₀ M`.
-/
import data.monoid_algebra
noncomputable theory
open set linear_map submodule
open_locale classical
na... |
b29ae750d2c299b7b2065484369619599f8d7cce | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/uniform_space/separation.lean | 8b7225b40622071cf72a25999231b009f3306751 | [] | 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 | 14,270 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.basic
import Mathlib.tactic.apply_fun
import Mathlib... |
ba3be247ddc44045e7eee7b025e162d1d5d73613 | 37583bc2df4ea4f4e29b43ee1302f004c24cfa59 | /tut3.lean | 26c5a0ec0fdc0c6b75d9dcc3aa18aa486059c63e | [
"MIT"
] | permissive | Vtec234/tpil-solutions | 9cd8576953eb7ea34e5959878bf00f73b035ba4e | 70c1b5c5e33a9c26296edb17cf828327d7f69842 | refs/heads/master | 1,585,389,330,863 | 1,540,413,754,000 | 1,540,413,754,000 | 148,069,811 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,678 | lean | import tactic.find -- super useful!
section ex1
variables {p q r s: Prop}
-- commutativity of ∧ and ∨
example : p ∧ q ↔ q ∧ p :=
iff.intro
(assume h: p ∧ q, and.intro h.right h.left)
(assume h: q ∧ p, and.intro h.right h.left)
-- in one direction
theorem or_comm_1: p ∨ q → q ∨ p :=
(as... |
becc19fd4d61aad1c5d319f5d92bd081b35296fa | a6b711a4e8db20755026231f7ed529a9014b2b6d | /00_Foundations/04_axioms.lean | c7fb3b1b21d7814fb4862e084b5b643002f6381e | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,819 | lean | /- *** Axioms *** -/
/-
In a mathematical or logical system, some propositions
are taken to be true unconditionally: without the need
for any prior "input" proofs.
An inference rule that requires no proof inputs,
and that nevertheless lets you judge some proposition
to be true, is called an axiom. We also use the... |
3c0e1410a1dfa8ed4bfd97c52bd07eaa80d140e7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/prime_auto.lean | 835be35845f72438a37bb1ec946aad4fd047261e | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,706 | lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.associated
import Mathlib.algebra.big_operators.basic
import Mathlib.PostPort
universe... |
b802eaca3581c08d71aa13ec0035601c29ba15c2 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/set_theory/ordinal/principal.lean | 672c33df46ba91435f34bde7bf7b35633bae83e1 | [
"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 | 16,472 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.ordinal.fixed_point
/-!
### Principal ordinals
We define principal or indecomposable ordinals, and we prove the standard ... |
40e0f872232067dad6a86c2b0c6e29b1bfe36416 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/equiv/mul_add.lean | 5a65cccc6f55f83a8a647a1b60ab5405127ca2e2 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,694 | 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 algebra.group.type_tags
import algebra.group_with_zero
/-!
# Multiplicative and additive equivs
In this file we define two ex... |
40f6b8407d07f71ee285607eeab42848df0a3f1d | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1804a.lean | 76733e1c682081013af7fc30e78de998b9feae4f | [
"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 | 684 | lean | section
parameter P : match unit.star with
| unit.star := true
end
include P
example : false :=
begin
dsimp [_match_1] at P,
guard_hyp P : true,
admit
end
end
section
parameter P : match unit.star with
| unit.star := true
end
include P
example : false :=
begin
dsimp [_match_1] at P,
guard_hyp P : true,
... |
54105adb347df001e0cdd03b3ae09ea6b2eac11e | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/spectrum_of_a_ring/induced_homeomorphism.lean | 3087b33c13a7e7c1b72e9465d548b3fcad74d39f | [] | no_license | alreadydone/lean-scheme | 04c51ab08eca7ccf6c21344d45d202780fa667af | 52d7624f57415eea27ed4dfa916cd94189221a1c | refs/heads/master | 1,599,418,221,423 | 1,562,248,559,000 | 1,562,248,559,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,756 | lean | /-
The map R → R[1/f] induces a homeomorphism Spec(R[1/f]) → D(f).
https://stacks.math.columbia.edu/tag/00E4
-/
import topology.basic
import ring_theory.localization
import to_mathlib.localization.localization_alt
import to_mathlib.localization.localization_ideal
import spectrum_of_a_ring.zariski_topology
import ... |
3a06e91d3876ae83e30f31ab82f7f3c9c65049bc | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/multilinear/basic.lean | 409b7078e5098d7d2544a17b87e34b8fb9ae0360 | [
"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 | 58,324 | 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 linear_algebra.basic
import algebra.algebra.basic
import algebra.big_operators.order
import algebra.big_operators.ring
import data.fin.tuple
import data.... |
ccffb616a664b5c907f2b753a4b8708635494b5f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/continuous_on.lean | 4439b2fe39c4d83ee3e0c58fdb5b8ddf1b6341f6 | [
"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 | 52,832 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
* `nhds_within` of `nhds`
* `co... |
8a373b58e2087846044cc09fb0a7dd4c8d3f963d | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/category/Compactum.lean | 8b9a69f47447abaa25a8380f1a5a3dc6cc9ae12d | [
"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 | 16,516 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.monad.types
import category_theory.monad.limits
import category_theory.equivalence
import topology.category.CompHaus
import data.set.constructions
/-... |
e44343beca62ad48570ac32bb7630d1b904522cd | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/ring_theory/ideal_operations.lean | a45c4c3eb581e067c54e4a3b8de59c9378178b0d | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 34,472 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import data.nat.choose
import data.equiv.ring
import ring_theory.algebra_operations
universes u v w x
namespace submodule
variables ... |
2405e21a0e6ac8740f959a9ff2378aa6b05cf1a5 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/analysis/analytic/basic.lean | a45b0749bd68864eb6e4ef4a9cd627dcf5f34e95 | [
"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 | 37,787 | 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.calculus.times_cont_diff
import tactic.omega
import analysis.special_functions.pow
/-!
# Analytic functions
A function is analytic in one dime... |
b7c34a4ac52f56a082519c80ae09d8bd038ab78b | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/types/lift.hlean | 6ecf37fe04a68f259f3f3a1975c926d9ae2141d7 | [
"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 | 6,136 | hlean | /-
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
Theorems about lift
-/
import ..function
open eq equiv is_equiv is_trunc pointed
namespace lift
universe variables u v
variables {A : Type.{u}} (z z' : lift.{... |
eaf5ee8a842a4a21a83fbf62324af7ee8cb9da61 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/coe2.lean | 58a341154aff413d6ab53ad1dbf5a39460e4e903 | [
"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 | 489 | lean | import logic
namespace setoid
inductive setoid : Type :=
mk_setoid: Π (A : Type), (A → A → Prop) → setoid
definition carrier (s : setoid)
:= setoid.rec (λ a eq, a) s
definition eqv {s : setoid} : carrier s → carrier s → Prop
:= setoid.rec (λ a eqv, eqv) s
infix `≈` := eqv
attribute carrier [coercio... |
9861ced6303d6706779a86cd737dbb1a59db76fa | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/category/monad.lean | 462a1d1e8629d5261164a8d4d7c1de812a2d133d | [
"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 | 1,305 | lean | /-
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson and Jared Roesch
-/
prelude
import init.category.applicative
universes u v
class pre_monad (m : Type u → Type v) :=
(bind : Π {a b : Type u}, m a → (a → m b) → m ... |
32c47a024974540cccd4f92dd709bb0b08bf4eb5 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/proofIrrelFVar.lean | a91a28bcbf58cb03d9f0392b0797ac292dce01e5 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 171 | lean |
universes u
variables {α : Type u} {p : α → Prop}
theorem ex (a : α) (h1 h2 : p a) (h : Subtype.mk a h1 = Subtype.mk a h1) : Subtype.mk a h1 = Subtype.mk a h2 :=
h
|
a4da7d372fc5983cbc135b820f60c1b7830622dc | 70f8755415fa7a17f87402cde4651e9f4db1b5bb | /src/mvpfunctor/basic.lean | 6756324fc82b55af62ffd7067733d4ec028bd11e | [
"Apache-2.0"
] | permissive | shingarov/qpf | ab935dc2298db12c87ac011a2e4d2c27e0bdef4b | debe2eacb8cf46b21aba2eaf3f2e20940da0263b | refs/heads/master | 1,653,705,576,607 | 1,570,136,035,000 | 1,570,136,035,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,935 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Multivariate polynomial functors.
Note: eventually the W and M constructions as multivariate polynomial functors will go here.
-/
import ..mvfunctor ..pfunctor
import for... |
1f237e3e7a520dbbbf9de1211c78924e22f9746f | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/lua2.lean | 05070da9a31d2549e903ea6dd51b35cda6988c6a | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 134 | lean | variable x : Bool
(*
a = {}
print("hello world")
print ("ok")
a = {
x = 10,
y = 20
}
rint ("ok")
*)
variable y : Bool
|
04e1975cc69c3397d5af54068c672f9e64ca10d7 | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/types/2_adj/adj.lean | a863c0089b67a85efd5912b5bfcdaf850e23e27d | [
"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 | 8,043 | lean | /-
Authors: Daniel Carranza, Jonathon Chang, Ryan Sandford
Under the supervision of Chris Kapulkin
Theorems about half-adjoint equivalences, including
a proof that the left half-adjoint type is a proposition
and is equivalent to the built-in equivalence type
Last updated: 2020-07-31
-/
import hott.init hott.ty... |
388b267f4f1395d81557283a9b812bfb0ddb691b | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/simulator/Runelf.lean | 0bc276d8e07652ab052f462274666db7816ca9c0 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 3,267 | lean | /- This file ties together the evaluator, elf support, and the decoder -/
-- import system.io
import Galois.Init.Io
import X86Semantics.MachineMemory
import Main.Elf
import Main.Translate
import X86Semantics.ConcreteBackend
import DecodeX86.DecodeX86
open x86
-- def evaluate_one (s : machine_state) : (Nat × sum u... |
c691c1b60343d8fee73afd98042a0463480c055e | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/dedekind_domain.lean | 8fe0200a4b4009540a51f94ec859c4e9a64723a3 | [
"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 | 10,142 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.discrete_valuation_ring
import ring_theory.fractional_ideal
import ring_theory.ideal.over
/-!
# Dedekind domain... |
db789e29a91f11d9f35e5dbff830e8f15cebeacf | 1a2aed113dcb5f1c07ae98040953fba5e6563624 | /lean_root/src/first_proofs.lean | ded6435fe2352572394d47a4cc0b4ce9adc5f0f3 | [
"Apache-2.0"
] | permissive | kevindoran/lean | 61d9fb90363b04587624036136482b29e3c16ebd | 77e755095a31e3a214010eb48a61e48d65dfdec9 | refs/heads/master | 1,670,372,072,769 | 1,598,920,365,000 | 1,598,920,365,000 | 264,824,992 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,047 | lean | /-
This file is intended for Lean beginners. The goal is to demonstrate what it
feels like to prove things using Lean and mathlib. Complicated definitions
and theory building are not covered.
-/
-- We want real numbers and their basic properties
import data.real.basic
-- We want to be able to define functions using t... |
049c25bbf0260cc38c7b30fd96a4d16df78c42cd | 9cba98daa30c0804090f963f9024147a50292fa0 | /old/metrology/scalar.lean | 4f345954f9bfc8600fe8b5d57195b17aab627fb4 | [] | no_license | kevinsullivan/phys | dcb192f7b3033797541b980f0b4a7e75d84cea1a | ebc2df3779d3605ff7a9b47eeda25c2a551e011f | refs/heads/master | 1,637,490,575,500 | 1,629,899,064,000 | 1,629,899,064,000 | 168,012,884 | 0 | 3 | null | 1,629,644,436,000 | 1,548,699,832,000 | Lean | UTF-8 | Lean | false | false | 2,564 | lean | --import .....math.affine.aff_coord_space
import data.real.basic
namespace scalar
/-
Algebraic types of scalars for different physical dimensions.
Deprecated. Use basicDimScalarType.
TODO: Rethink use of abbreviation
-/
abbreviation length := ℝ
abbreviation time := ℝ
abbreviation mass := { r : ℝ // r >= 0}
abbrevi... |
26d555da02a97e8982d8ca6ee391eeeffdbb8de4 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/ring2.lean | 1d3f1f58a8af15b0c54749d2142d6107cc63bcb5 | [
"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 | 20,528 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.ring data.num.lemmas data.tree
import tactic.converter.interactive
/-!
# ring2
An experimental variant on the `ring` tactic that uses computational
r... |
ca548e828a867abdf473bda29b049eb4380b8ed5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/revertlet.lean | 4d3de8184b664c613e8e4a2a66028836d849d17f | [
"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 | 155 | lean | theorem ex (n : Nat) (h : n = 0) : 0 + n = 0 := by
let m := n + 1
let v := m + 1
have : v = n + 2 := rfl
trace_state
subst h
trace_state
rfl
|
5c327b1bf8571be5e3ac5b83687bb6e0e643f1c8 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/data/finset/basic.lean | 9f9fff481b6fc3bbfa16e6d422fdc085231c12b4 | [
"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 | 101,747 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.monotonicity
import tactic.apply
import tactic.nth_rewrite
/-!
# F... |
862490dfdbbd90d3e1f8aeda4078b3020e6f5bb1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/locally_convex/balanced_core_hull.lean | 0533613a15d02315a4f236aa98abf58e32cafae7 | [
"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 | 9,732 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.locally_convex.basic
/-!
# Balanced Core and Balanced Hull
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
d169e08879a761430ee3569201e6b2f78f8997a9 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/data/fintype/intervals.lean | 869553c57a877ebb52e492ca55df3ba021290e23 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 752 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.set.intervals
import data.set.finite
import data.fintype
import tactic
/-!
# fintype instances for intervals
We provide `fintype` instances for `Ico l u... |
c0e23306d3df2bba86b41268462c88c285471521 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/interactive.lean | 87f0444f57dd43b127bcb3a3557a8c4db8167bf4 | [
"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 | 68,305 | 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.meta.tactic init.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
4ec513d71e012bbb6a4a0daff9e4bedc2abbc119 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/ind_whnf.lean | b662baf678e23415fb4add04e7648749aaf01683 | [
"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 | 764 | lean | inductive Expr : id Type
| var : Nat → Expr
| app : String → List Expr → Expr
partial def Expr.fold (f : Nat → α → α) : Expr → α → α
| var n, a => f n a
| app s as, a => as.foldl (init := a) fun a e => fold f e a
def Expr.isVar : Expr → Bool
| var _ => true
| _ => false
inductive Lst (α : Type u) ... |
b29e1e0d59afaed496aa3e876666e76b42942b95 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/playground/termparsertest1.lean | 5e189dfaf217056c6b03dfb355761f3bc2265ccf | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,709 | lean | import init.lean.parser.term
open Lean
open Lean.Parser
def testParser (input : String) : IO Unit :=
do
env ← mkEmptyEnvironment;
termPTables ← builtinTermParsingTable.get;
stx ← IO.ofExcept $ runParser env termPTables input "<input>" "expr";
IO.println stx
def test (is : List String) : IO Unit :=
is.mfor $ fun input... |
14677dd65e4ab103e72b09d92178454b9e877a5c | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/nat/sub.lean | 2b3a67df9b1922373a99b3141baa1218f69ab457 | [
"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 | 17,091 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
Module: data.nat.sub
Subtraction on the natural numbers, as well as min, max, and distance.
-/
import .order
import tools.fake_simplifier
open eq.op... |
01abe8b0f6504cf2ebb072863b69d331586cd1fc | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/tactic_paper_supplemental_material/monoid_cancellation/smt.lean | 2f3e41aae691c481082512efb9eca9fdbefbe311 | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 204 | lean | import .monoid
local infix * := star
-- necessary instances for the AC support in the SMT state
instance : is_associative _ star :=
⟨star_assoc⟩
instance : is_commutative _ star :=
⟨star_comm⟩
|
1f0798702e7c1b32299152646f3eda98b8f06c0c | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/tactic/interval_cases.lean | d923e76a6d4bc536b20d2bd08ae18da007f786c5 | [
"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 | 11,221 | 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 tactic.fin_cases
import data.fin.interval -- These imports aren't required to compile this file,
import data.int.interval -- but they are needed at the use sit... |
5b59dbc97dded08f897e35414490ebf08d8cf81e | abd85493667895c57a7507870867b28124b3998f | /src/data/complex/basic.lean | ba71d2ad1496d1c38c9ff51aa9fb2cb9af8cc3ad | [
"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 | 19,526 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
The complex numbers, modelled as R^2 in the obvious way.
-/
import data.real.basic
import deprecated.field
structure complex : Type :=
(re : ℝ) (im : ℝ)
... |
423d6932a4df703bddebd59c9543bc58ce29d7d6 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/topology/instances/ennreal.lean | 0b2452c2153d428b5141145d9e8263a33e0747c7 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 46,374 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical topological_space e... |
0ff0a61ff3132d8284d9227533df16786aa11dd3 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Meta/DiscrTree.lean | d68d56d36ebcc53a72589009d99100a8bfa4fac1 | [
"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 | 15,647 | 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.FunInfo
import Lean.Meta.InferType
namespace Lean.Meta.DiscrTree
/-
(Imperfect) discrimination trees.
We use a ... |
6a01f73f9d18524f9e19288063c1605399021569 | 70f8755415fa7a17f87402cde4651e9f4db1b5bb | /src/mvqpf/basic.lean | 4ba663b2152be0275f3af5b2b8530688cb3c16bc | [
"Apache-2.0"
] | permissive | shingarov/qpf | ab935dc2298db12c87ac011a2e4d2c27e0bdef4b | debe2eacb8cf46b21aba2eaf3f2e20940da0263b | refs/heads/master | 1,653,705,576,607 | 1,570,136,035,000 | 1,570,136,035,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,640 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Multivariate quotients of polynomial functors.
-/
import ..mvpfunctor.W
universe u
class mvqpf {n : ℕ} (F : typevec.{u} n → Type*) [mvfunctor F] :=
(P : mvpfuncto... |
abe54fb5764cc689c75d121fd6855e586b9a8a2c | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Meta/Tactic/Intro.lean | 19d957e5eb0733d9ab84a1139ea3bbe7e7b8019f | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,028 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Meta.Tactic.Util
namespace Lean
namespace Meta
@[specialize]
def introNCoreAux {σ} (mvarId : MVarId) (mkName : LocalContext → Nam... |
4a1ed15e7e26676e9104b4b7e46fbc79499e6393 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/weak_dual.lean | 03f09ac7728032831a26f5355326b74003c64bc9 | [
"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 | 10,021 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä, Yury Kudryashov
-/
import topology.algebra.module.weak_dual
import analysis.normed_space.dual
import analysis.normed_space.operator_norm
/-!
# Weak dual of normed space
L... |
2893013295ba56b714cf345e0e1365d2dd22b7df | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fintype/pi.lean | 2c5a26cf37d817f8c7cc4ddcb3ddabab800ea128 | [
"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 | 3,701 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.basic
import data.finset.pi
/-!
# fintype instances for pi types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a... |
534973c94461cb36cee6db669b648df72c101381 | 65d1df074ed9cf826df35e38c866570c4276bea4 | /src/bv_tauto.lean | ec2c7656a75732f08f46220efdc2e83e2836fe73 | [
"Apache-2.0"
] | permissive | fpvandoorn/flypitch | 8ad6af930a1f7d95da21669a14f3fb3a59afc8f6 | d09a1f428bdf54c4aebd785f7c842e0fac17b094 | refs/heads/master | 1,585,602,974,244 | 1,575,699,535,000 | 1,575,699,535,000 | 151,622,978 | 1 | 0 | null | 1,538,680,215,000 | 1,538,680,215,000 | null | UTF-8 | Lean | false | false | 3,256 | lean | import .to_mathlib
local infix ` ⟹ `:65 := lattice.imp
namespace lattice
lemma context_or_elim' {β} [complete_boolean_algebra β] {Γ a b c : β} (H : Γ ≤ a ⊔ b) (H_left : ∀ {Γ'} (H_le : Γ' ≤ Γ) (H_le' : Γ' ≤ a), Γ' ≤ c) (H_right : ∀ {Γ'} (H_le : Γ' ≤ Γ) (H_le' : Γ' ≤ b), Γ' ≤ c) : Γ ≤ c :=
begin
bv_or_elim_at H,
... |
14f149e3a1149072a2943171efa04b7031262852 | 2d34dfb0a1cc250584282618dc10ea03d3fa858e | /src/locally_constant/analysis.lean | 274d6aede4737ebbacc2906ef993888b259933b1 | [] | no_license | zeta1999/lean-liquid | 61e294ec5adae959d8ee1b65d015775484ff58c2 | 96bb0fa3afc3b451bcd1fb7d974348de2f290541 | refs/heads/master | 1,676,579,150,248 | 1,610,771,445,000 | 1,610,771,445,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,740 | lean | import locally_constant.algebra
import normed_group_hom
noncomputable theory
-- move this
section for_mathlib
lemma real.Sup_exists_of_finite (s : set ℝ) (hs : s.finite) :
∃ (x : ℝ), ∀ (y : ℝ), y ∈ s → y ≤ x :=
begin
rcases hs.exists_finset with ⟨t, ht⟩,
use t.fold max 0 id,
intros y hy,
exact (finset.fold... |
31d55372a533262c5eab27dec4d25d92ac1ea398 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/metric_space/hausdorff_distance.lean | f402d7a00abca571167162a9ec79187a3aa8659d | [
"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 | 58,202 | 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.isometry
import topology.instances.ennreal
/-!
# Hausdorff distance
The Hausdorff distance ... |
6e5e9f9c649b4c4dd3c9dae691f52e160d4f69d7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/logic/relator_auto.lean | e3421d573b45d08a249b0fb6dbdf84947bdc3b95 | [] | 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 | 4,857 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Relator for functions, pairs, sums, and lists.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.reserved_notation
import Mathlib.Pos... |
bf122d4038d93f97a82110edb4449dbc98696ac5 | 7c92a46ce39266c13607ecdef7f228688f237182 | /src/valuation/topology.lean | 9b169617c264a66e24a4e214da832783050eb2d3 | [
"Apache-2.0"
] | permissive | asym57/lean-perfectoid-spaces | 3217d01f6ddc0d13e9fb68651749469750420767 | 359187b429f254a946218af4411d45f08705c83e | refs/heads/master | 1,609,457,937,251 | 1,577,542,616,000 | 1,577,542,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,803 | lean | import for_mathlib.nonarchimedean.is_subgroups_basis
import for_mathlib.uniform_space.group_basis
import valuation.basic
/-!
# The topology on a valued ring
In this file, we define the topology induced by a valuation on a ring.
-/
local attribute [instance] classical.prop_decidable
noncomputable theory
local attrib... |
954b107b17206932310ffc52455d33dec3446ce2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/witt_vector/mul_coeff.lean | c5973058f8a56c80226a7ec5a97b4ea8730f785e | [
"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 | 12,838 | lean | /-
Copyright (c) 2022 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Heather Macbeth
-/
import ring_theory.witt_vector.truncated
import data.mv_polynomial.supported
/-!
# Leading terms of Witt vector multiplication
> THIS FILE IS SY... |
072413d4cf6ca17c7dc7b6733869579d64a4946c | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world3/level7.lean | 6d997046063f28869845a553a93e589806859d21 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 1,923 | lean | import game.world3.level6 -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 7: `add_mul`
We proved `mul_add` already, but because we don't have commutativity yet
we also need to prove `add_mul`. We have a bunch of tools now, so this won't
be too hard. You know what -- you can do this one by inductio... |
3ef00d76d85ab7c1dcabae551ef68e2b16e5049a | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/algebra/norm_num.lean | 74ead18775a2a8c57d92a8933e133f5e0216c566 | [
"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 | 8,754 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis and Leonardo de Moura
-/
prelude
import init.algebra.field init.algebra.ordered_ring
namespace norm_num
universe variable u
variable {α : Type u}
def add1 [has_ad... |
68ac06de002672fc8317b1aa9b778ebfa21887c4 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Meta/Check.lean | b289c85e6a31cc7af6ad4d910da7f7b903489f8a | [
"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 | 2,782 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Meta.InferType
/-
This is not the Kernel type checker, but an auxiliary method for checking
whether terms produced by tactics and ... |
83d848f7b095b0498aba589ead259ec7b15c51cc | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/doc_string4.lean | 930617d6761420f243746b3ff0be77e9890ec31e | [
"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 | 3,728 | lean | /-!
# Arithmetic expressions for a simple imperative language.
-/
namespace imp
open tactic
/-- Variable names -/
@[reducible] def uname := string
/--
#brief Arithmetic expressions abstract syntax tree.
We encode x + 1 as
```
check aexp.plus (aexp.var "x") (aexp.val 1)
```
-/
inductive aexp
| val : nat → aexp
| va... |
7c7f5d9838222ee2260bee040490fb390627e032 | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/parlang/rhl.lean | e14a3d0c97e4a17abb7d07c9e65c7d3e76b42f60 | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,523 | lean | import parlang.defs
import parlang.lemmas_state
import parlang.lemmas_exec
import parlang.nonmono
namespace parlang
variables {σ σ₁ σ₂ σ₃ : Type} {ι₁ ι₂ : Type} {τ₁ : ι₁ → Type} {τ₂ : ι₂ → Type} [decidable_eq ι₁] [decidable_eq ι₂]
@[reducible]
def rhl_kernel_assertion := Π n₁:ℕ, state n₁ σ₁ τ₁ → vector bool n₁ → Π n... |
9988e262e25e33382d63a2eb8b81627f91580363 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/group_power.lean | 69e66c22c5cb8558743fac8abe72c9e4b48dce6b | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 38,645 | 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.opposites
import data.list.basic
import data.int.cast
import data.equiv.basic
import deprecated.group
/-!
# Power operations on monoids... |
624920e3347be458217361d3e30721365c9a8ba0 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_1748.lean | edb712d8c1b64deb326e6583a9f6410f0fe6ba1d | [] | 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 | 258 | lean | import data.real.basic
import data.nat.gcd
open nat
-- BEGIN
example (x y : ℝ) : abs (x + 3) < 5 → -8 < x ∧ x < 2 :=
begin
rw abs_lt,
intro h,
split; linarith
end
example : 3 ∣ gcd 6 15 :=
begin
rw dvd_gcd_iff,
split; norm_num
end
-- END |
d30fbed72c3fffaa934c4770f39e94106c3e25d0 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/topology/metric_space/basic.lean | 1a11105e453ddf44f26ff7f3ffeb662c8944c6dc | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 67,695 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
22bf26c7b3226540eac99f524abd236e24813c55 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/equiv_rw.lean | ba878dfed9cd47b53a07138d2974eadcaf845f8c | [
"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 | 9,781 | 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 tactic.equiv_rw
import control.equiv_functor.instances -- these make equiv_rw more powerful!
-- Uncomment this line to observe the steps of constructing appro... |
afbec31847afc17bae925d781c40f2f5fa0ea071 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/string.lean | 5cbbd5cf31210f51f7515a0fefc801b6c30a124a | [
"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 | 40 | lean | import data.string
check "aaa"
check "B" |
2a75271e3d3b3cd0f9b3cee4bdfadecde858acb4 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/ParserCompiler.lean | 459c4987d829e7eb510725e770199cd9cf5526bd | [
"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 | 7,022 | 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... |
fcc3d29b4ea2094d36d47069011b836dcb75de55 | b2363dbdedecce9d05f15cdb1ecba3a7acfebb4a | /src/arithcc.lean | 8ce1dea6137a2901718fc6894599e901aa9f462c | [
"Apache-2.0"
] | permissive | xiw/arithcc | dcaf4720829f1e37e28fe32785e7d1efbbdcc78b | f3e0e689d3d5b53b54005303e495e49019e77532 | refs/heads/master | 1,672,711,806,073 | 1,603,320,081,000 | 1,603,320,081,000 | 304,186,195 | 14 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,596 | lean | /-
Copyright (c) 2020 Xi Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Xi Wang.
-/
import tactic.basic
/-!
# A compiler for arithmetic expressions
A formalization of the correctness of a compiler from arithmetic expressions to assembly code
described by McCart... |
3dd9f96215468ef4cc8e1d11c4599e49b9e4d389 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/defeq_simp1.lean | 9f921819c158575073b3c850bc88308a9e110b55 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 708 | lean | @[reducible]
def nat_has_add2 : has_add nat :=
⟨λ x y : nat, nat.add x y⟩
set_option pp.all true
open tactic
example (a b : nat) (H : @has_add.add nat (id (id nat.has_add)) a b = @has_add.add nat nat_has_add2 a b) : true :=
by do
s ← simp_lemmas.mk_default,
get_local `H >>= infer_type >>= s^.dsimplify >>= trace,... |
7a07cce4d74d09cac480311cef6b8fc5fa2b43d6 | 59aed81a2ce7741e690907fc374be338f4f88b6f | /src/math-688/lectures/lec-7.lean | 2da8b843ba1a1066e83e0a7e135f00231d6a82a3 | [] | no_license | agusakov/math-688-lean | c84d5e1423eb208a0281135f0214b91b30d0ef48 | 67dc27ebff55a74c6b5a1c469ba04e7981d2e550 | refs/heads/main | 1,679,699,340,788 | 1,616,602,782,000 | 1,616,602,782,000 | 332,894,454 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 72 | lean | /- 13 Sep 2019 -/
-- generating functions
-- fibonacci sequence example |
7a92713e0d8fd340a84a9e07f21ab3a12ac61072 | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /notes/2020.02.06-polymorphic.lean | 624813934a41547bba7698e78c3366cefe79e2b7 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,953 | lean | /-
We've seen identity functions for specific types.
For example, here are identity functions for the
types, ℕ, bool, and string.
-/
def id_nat (a : ℕ) : ℕ := a
def id_bool (a : bool) : bool := a
def id_string (a : string) : string := a
/-
These functions differ only in the types of
va... |
89f8a7e9dcb13981670915e394be209fec442b39 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/set_theory/lists.lean | ad1937e5efb49b2014032a3ad010d417b312d34c | [] | 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 | 8,173 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
A computable model of hereditarily finite sets with atoms
(ZFA without infinity). This is useful for calculations in naive
set theory.
-/
import Mathlib.PrePort
import M... |
172bf6513473e095e1a19df899d333a44000ee8e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/model_theory/definability.lean | 529c0e5338890ed963b77004c4b1ad9508c9c1c5 | [
"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 | 12,280 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.set_like.basic
import logic.equiv.fintype
import model_theory.semantics
/-!
# Definable Sets
This file defines what it means for a set over a first-order... |
d852f79150f1e6527a318be4e406d458040e6db8 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/core.lean | aa53be7fb8578d99b7e110a1d78d06c44a61a509 | [
"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 | 92,207 | 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
import logic.function.basic
import control.basic
import meta.expr
import meta.rb_map
import data.boo... |
61f2ca443d36b122fbfb8cc22ff4cae1ad45a7e3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/order/nonneg.lean | aeb62e116e86c27c67ac4c9a094ee0ded24b0815 | [
"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 | 14,756 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import algebra.order.archimedean
import algebra.order.floor
import algebra.order.sub
import algebra.order.with_zero
import order.lattice_intervals
import order.co... |
d6ab1c935eacc1d0e0e12deed990bf726ff28c6e | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/derivation.lean | 5efdb45fba06ad203b902a70f590b370d8c05fc6 | [
"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 | 10,506 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import algebra.lie.of_associative
import ring_theory.adjoin.basic
import ring_theory.algebra_tower
/-!
# Derivations
This file defines derivation. A derivation `... |
e209a5644cf1a0fea4f3ecbc3ce0cb7d9754b13d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/algebra/operations.lean | dcd62747f721eca8df6d7ee503d94470678bd8a4 | [
"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 | 24,468 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.bilinear
import algebra.module.submodule.pointwise
import algebra.module.submodule.bilinear
import algebra.module.opposites
import data.finset.pointwise
... |
e1fc28cdd9758fa711a883112b1367e04e08270e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/padics/ring_homs.lean | fa4b54d7e49422b773fbef8371013530ab2df3b1 | [
"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 | 24,635 | lean | /-
Copyright (c) 2020 Johan Commelin, Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.padics.padic_integers
/-!
# Relating `ℤ_[p]` to `zmod (p ^ n)`
In this file we establish connections between the `p`... |
73812892b135072dbd39ec95956becdeaa6129fd | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /ukikagi/newman.lean | 0d933621708771d77259af05a6439d48928c0ae8 | [] | 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 | 1,557 | lean | inductive rtc {α : Type} (r : α → α → Prop) : α → α → Prop
| base : ∀ a, rtc a a
| trans : ∀ {a b c}, r a b → rtc b c → rtc a c
lemma rtc_is_transitive {α : Type} {a b c: α} {r : α → α → Prop}:
rtc r a b → rtc r b c → rtc r a c
:=
begin
intros hab hbc,
induction hab with a a p b hap hpb hbcpc,
exact hbc,
ex... |
e8e4eef76cd5ae87384f38b8af6f514650ff0830 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/pfunctor/multivariate/M.lean | 69e5a8dc3aa9a85fccef1eeeea2de1c796d6e870 | [
"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 | 11,488 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import data.pfunctor.univariate
import data.pfunctor.multivariate.basic
/-!
# The M construction as a multivariate polynomial functor.
M ... |
4e9f664f069ac52787c2f9675fddf57c60902d74 | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/polyhedral_lattice/cosimplicial.lean | 971361aebe9814adfe10fdcbe1b33b424c2e4947 | [] | 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 | 4,048 | lean | import rescale.polyhedral_lattice
import polyhedral_lattice.cech
import facts.nnreal
/-!
# The cosimplicial polyhedral lattice attached to `Λ → Λ'`
Let `Λ` be a polyhedral lattice, and let `0 < n` be a natural number.
Let `Λ' := rescale n (fin n →₀ Λ)` be the polyhedral lattice
that is the `n`-fold direct sum of `Λ`... |
5b302852edfc949f72d84f1940488403755ed4f0 | 58d00ddf42e87fdba91a6057c0b803d889c85901 | /src/solutions/wednesday/topological_spaces.lean | f42f9091dc4167ed0ac42c43ada789495118452a | [] | no_license | zeta1999/lftcm2020 | 213d0324ec8d4425bd3320a631e906da1c28e230 | a2eea082d479d82e300ca85d77b87b597e6330d6 | refs/heads/master | 1,671,857,495,610 | 1,602,037,058,000 | 1,602,037,058,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,512 | lean | import tactic
import data.set.finite
import data.real.basic -- for metrics
/-
# (Re)-Building topological spaces in Lean
Mathlib has a large library of results on topological spaces, including various
constructions, separation axioms, Tychonoff's theorem, sheaves, Stone-Čech
compactification, Heine-Cantor, to name bu... |
faad35ceb3e0d74e536b792d4023e5be40d013b8 | 09b3e1beaeff2641ac75019c9f735d79d508071d | /Mathlib/Data/Nat/Basic.lean | aac0adbfe13a78b0605bc4fe83aa92366a190590 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib4 | b819079cc46426b3c5c77413504b07541afacc19 | f8294a67548f8f3d1f5913677b070a2ef5bcf120 | refs/heads/master | 1,685,309,252,764 | 1,623,232,534,000 | 1,623,232,534,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,756 | lean | import Mathlib.Tactic.Basic
import Mathlib.Logic.Basic
notation "ℕ" => Nat
namespace Nat
-- Edits to the naming convention pending upstream
def eq_of_beq_eq_true := @eqOfBeqEqTrue
def ne_of_beq_eq_false := @neOfBeqEqFalse
@[simp] lemma not_succ_le_zero : ∀ n, ¬ succ n ≤ 0 := @notSuccLeZero
def not_lt_zero := @notLtZ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.