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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1efcb36626a0135012f8e82ca4dcc73876dc039f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/group_theory/submonoid/basic.lean | cf82c99c0e3b7863728e9bf1695e0d811dad43f9 | [
"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 | 22,091 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import algebra.hom.group -- Only needed for notation
import algebra.gro... |
d6b99306ff00cd141a658c31f9922d0f76acd486 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/CoreM.lean | 4f77d46c5e93f46416e0efb492e4a24a168d5057 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 6,269 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.RecDepth
import Lean.Util.Trace
import Lean.Data.Options
import Lean.Environment
import Lean.Exception
import Lean.InternalExceptionId
impo... |
13bd3471e6b11cf5fb6735b9bdbf269ff3b7c4b3 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/algebra/ordered_ring.lean | dd9d5e91e69f1737a2110452b4ae1ae44364082f | [
"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 | 21,947 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.ordered_ring
Authors: Jeremy Avigad
Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak
order and an associated strict order. Our num... |
bbd18457e5105d75d5e3fcd464cac62de2eb4af3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/int/basic.lean | 22faf207833029bd36b6779221e155cc0ebbe53c | [] | 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 | 6,158 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.int.gcd
import Mathlib.ring_theory.multiplicity
import... |
3b3bbeff260c96c842703ff2c12e76dcc3982aef | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/p_group.lean | 5b070e70c3d0aa5a12d33aa45d26b6442dfa5608 | [
"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 | 10,187 | lean | /-
Copyright (c) 2018 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import group_theory.index
import group_theory.group_action.conj_act
import group_theory.perm.cycle_type
import group_theory.quotient_group
/-!
# p-groups
This fil... |
07cec1719f8d82e0753f1eaec730dad502cb1209 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/frontend/Frontend/Main_with_eval.lean | 37c7e32d7c855a8971107798ac77d37f021d7b79 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 151 | lean | import Frontend.Main
#eval show IO _ from do
let r ← main ["Frontend.Import1"]
if r ≠ 0 then throw <| IO.userError "Messages were generated!"
|
4cd4ebf061e5c9edebd11db80fa69db9b711d0f7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/meta2.lean | 1aca9eba005aaa2e27646e4dcd7cbb3ccd2d8010 | [
"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 | 18,266 | lean | import Lean.Meta
open Lean
open Lean.Meta
-- set_option trace.Meta true
--set_option trace.Meta.isDefEq.step false
-- set_option trace.Meta.isDefEq.delta false
set_option trace.Meta.debug true
def print (msg : MessageData) : MetaM Unit := do
trace[Meta.debug] msg
def checkM (x : MetaM Bool) : MetaM Unit :=
unless (←... |
bcf6188294221db5a42b13ec9ba3897f7e274084 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/polynomial/dickson.lean | 76e01282385bd0a2679c0a81faca5b7f78c92a74 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 10,686 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.char_p.invertible
import data.zmod.basic
import field_theory.finite.basic
import ring_theory.localization.fraction_ring
import ring_theory.poly... |
4f9b539722a45c28846950def5202cc66a4c79f9 | ecdf4e083eb363cd3a0d6880399f86e2cd7f5adb | /src/group_theory/mathieu_group.lean | 73cda7cbf5000c6e17c8aa74edf1da433fa24bcb | [] | no_license | fpvandoorn/formalabstracts | 29aa71772da418f18994c38379e2192a6ef361f7 | cea2f9f96d89ee1187d1b01e33f22305cdfe4d59 | refs/heads/master | 1,609,476,761,601 | 1,558,130,287,000 | 1,558,130,287,000 | 97,261,457 | 0 | 2 | null | 1,550,879,230,000 | 1,500,056,313,000 | Lean | UTF-8 | Lean | false | false | 4,115 | lean | import group_theory.basic
import data.finset group_theory.group_action
open finset fintype
universes u v
local attribute [instance, priority 0] classical.prop_decidable
variables {α : Type u} {β : Type v} {t k v : ℕ}
namespace mathieu_group
/--
A Steiner system $S(t,k,v)$, where $t < k < v$ are positive integers i... |
e340eb21ece7a67cb280a3b00a939153590db4f9 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/laurent_series.lean | 0435cc96b3c9366fb4500e9dce194f543c846e67 | [
"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 | 8,138 | 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 ring_theory.hahn_series
import ring_theory.localization
/-!
# Laurent Series
## Main Definitions
* Defines `laurent_series` as an abbreviation for `hahn_seri... |
0df65c6ce400e23f4fe4c586693438339107cb20 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/Module/products.lean | 1db567c7430491eb95607423359ebef7bb8791d4 | [
"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 | 1,948 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import linear_algebra.pi
import algebra.category.Module.basic
/-!
# The concrete products in the category of modules are products in the categorical sense.
-/
open ... |
e30202e29956fc7a5acb918d3a2badf0cb115d20 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/tactic/lint/default.lean | f7a1e9f952473d5594566b61183992865d9d3da6 | [
"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 | 4,039 | 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, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.frontend
tactic.lint.simp
tactic.lint.type_classes
tactic.lint.misc
open tactic
add_tactic_doc
{ name ... |
8a17589c8379ec007856015acd4d61382aca9ed5 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eq21.lean | 141a9c3571a599b4fa95879bbb1666ce6ad5ec5b | [
"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 | 413 | lean |
inductive formula
| eqf : nat → nat → formula
| impf : formula → formula → formula
namespace formula
definition denote : formula → Prop
| (eqf n1 n2) := n1 = n2
| (impf f1 f2) := denote f1 → denote f2
theorem denote_eqf (n1 n2 : nat) : denote (eqf n1 n2) = (n1 = n2) :=
rfl
theorem denote_impf (f1 f2 :... |
3d6bae12c27d81976b97e724d41bab138a5a77e3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/padics/padic_integers.lean | df485c83a582946a367baf6105c3ef59c3b8d486 | [] | 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 | 18,345 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.int.modeq
import Mathlib.data.zmod.basic
import Math... |
31849d6935741688b780aff9936126d24d962916 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/ctx.lean | 803df0215f2ec55997f39ea3af04bf83b29ab885 | [
"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 | 135 | lean | open prod
definition foo {A B : Type} (a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 : nat) (b1 b2 b3 : bool) (h : A = B) (p1 p2 : A × B) : nat :=
_
|
4ae82d39110ab04232708bbdccd0206e33d04307 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/group/arithmetic.lean | cc22009185d5abf4283681d723fd72ea06dded3d | [
"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 | 28,178 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import measure_theory.measure.measure_space
/-!
# Typeclasses for measurability of operations
In this file we define classes `has_measurable_mul` etc and prove do... |
1ed167dd4e0b445bc45e97d8b941af429fe77014 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/user_ext/UserExt/Tst1.lean | 9c15cbfac203c0dbf4ab8c3c7372620565c1c19f | [
"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 | 185 | lean | import UserExt.FooExt
import UserExt.BlaExt
set_option trace.myDebug true
insert_foo hello
set_option trace.myDebug false
insert_foo world
show_foo_set
insert_bla abc
show_bla_set
|
5919e966a5c0f12aaf872d7bf2bf5f1530970c64 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Elab/Log.lean | 5a3288bc58c04f8bf01060d9e69edc05b462f231 | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,088 | 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.Elab.Util
import Lean.Util.Sorry
import Lean.Elab.Exception
namespace Lean.Elab
class MonadFileMap (m : Type → Type) where
getFileMap : m F... |
85b577320f46bbab1aaabeb447e2f9710cba1bbf | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/normed_space/banach.lean | 82497290c86c08950eb34dcef8c9ce7fbb5bc82d | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 12,025 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
/-!
# Banach open mapping theorem
This file contains the Banach open mapping the... |
0a3955c8a26c99567d0854dcab65af8f89d38fad | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebraic_geometry/Scheme.lean | ebbad3a6575d985c6f0f0bb0f52a57e5b156ece2 | [
"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 | 3,757 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebraic_geometry.Spec
/-!
# The category of schemes
A scheme is a locally ringed space such that every point is contained in some open set
where there is a... |
b84a78b74009ae2dde4ff28d186bf853d446ab67 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/archimedean.lean | 5887a1a4740e287333dc616c330908934a8651a3 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,791 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Archimedean groups and fields.
-/
import algebra.field_power
import data.rat
variables {α : Type*}
/-- An ordered additive commutative monoid is called `archimedean` ... |
bdfb408b54340f03fff7aba69fe3052267385af5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/locally_constant/basic.lean | 3a46a0fce005e1c5a4d5fc84ec3800f186b0aee2 | [
"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 | 19,430 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.subset_properties
import topology.connected
import topology.continuous_function.basic
import algebra.indicator_function
import tactic.tfae
import tact... |
89d7f588d417c16b5e69b1abb645249f0ce10f1e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/control/bitraversable/instances_auto.lean | bf83fdda7d051dfa46f01c764312e8c92566fd97 | [] | 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 | 5,099 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.bitraversable.lemmas
import Mathlib.control.traversable.lemmas
import Mathlib.PostPort
... |
a9b18a1ee554bc88f360f66f447b006ce8fa9b5c | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Compiler/IR/ElimDeadBranches.lean | 1e73e0d09a5dd7b54043be343eb9672187d3b4a4 | [
"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 | 9,643 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Reader
import Init.Data.Option
import Init.Data.Nat
import Init.Lean.Compiler.IR.Format
import Init.Lean.Compiler.IR.Basic
impor... |
452743222031097129b65f2f6283ac069bce23ba | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/logic/unique.lean | 13c2b7cb7b2463b174f46286cbc67f1245738015 | [
"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 | 6,332 | 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 tactic.basic
import logic.is_empty
/-!
# Types with a unique term
In this file we define a typeclass `unique`,
which expresses that a type has a unique term.... |
b7e9540957b29c5f7c852d992c483f11b8ccfbe9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/pilex.lean | 6bb4a86552666ca59c87bf3d328b8554d87c2da0 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,507 | lean | /-
Copyright (c) 2019 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.ordered_pi
import Mathlib.order.well_founded
import Mathlib.algebra.order_functions
imp... |
36eb429957ca0885148e9172adbbd767f3fd71f2 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/sampler.lean | c0a985a18ba650f39ad2a7f3e8ca67d4099659a0 | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 3,309 | lean | import system.io
import functors.generating
class sampler (A : Type) :=
(gen : io A)
def gen (A) [sampler A] := @sampler.gen A
def genₛ {A} (s : sampler A) := @sampler.gen A s
instance : functor sampler :=
{map := λ A B f s, ⟨do x <- genₛ s, return $ f x⟩}
instance {n} : sampler (fin n) :=
{gen := do
i <- io.rand... |
5e7d34fc5272c451cfef0a1c7ebaaaba8298af49 | e0b0b1648286e442507eb62344760d5cd8d13f2d | /tests/compiler/rbmap_library.lean | cba7ac5c54168f016e9aa1637b80d079ef9f9c60 | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,291 | lean | import Std
open Std
def check (b : Bool) : IO Unit := do
unless b do IO.println "ERROR"
def sz {α β : Type} {cmp : α → α → Ordering} (m : RBMap α β cmp) : Nat :=
m.fold (fun sz _ _ => sz+1) 0
def depth {α β : Type} {cmp : α → α → Ordering} (m : RBMap α β cmp) : Nat :=
m.depth Nat.max
def tst1 : IO Unit :=
do let Ma... |
03a40c0bad34e4698ef61618f61c355ccccec12e | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/real/bigops.lean | 10d6d3b66b13160889d07811ac64c42c796e480b | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,950 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Finite products and sums on the reals.
-/
import data.real.division algebra.group_bigops algebra.group_set_bigops
open list
namespace real
open [classes] algebra
... |
7ecc1eb45f4e18107500edf8d0cfdc211db0b40e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/record2.lean | 34a47978d9fde6c6795475cdf94ccb0dc9ca1ad3 | [
"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 | 283 | lean | import logic data.unit
set_option pp.universes true
section
parameter (A : Type)
section
parameter (B : Type)
structure point :=
mk :: (x : A) (y : B)
check point
check point.mk
check point.x
end
check point
check point.mk
check point.x
end
|
10fd234eb083ac394a39173f27ee60ff40412dff | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /group_theory/subgroup.lean | 9b076b885a9bc23796136102aea92dbc84603aa8 | [
"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 | 18,485 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro
-/
import group_theory.submonoid
open set function
variables {α : Type*} {β : Type*} {a a₁ a₂ b c: α}
... |
434259818357ba097b34fbd6f480fe2e9841faba | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/list/sort.lean | 4a1d23d70838e7ccab97725a32e3f5980d6ec6e8 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 11,453 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Insertion sort and merge sort.
-/
import data.list.perm
open list.perm
namespace list
section sorted
universe variable uu
variables {α : Type uu} {r : α → α → Prop}
/--... |
ba3013bf010ed11fd9c12e6fc5f683386fea07bf | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/vm_auto.lean | cdac47395612efba74ab0c59d7f65054addc55ee | [] | 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 | 1,805 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.control.option
import Mathlib.Lean3Lib.init.meta.mk_dec_eq_inst... |
791475d59de938631c858b7909700501e7779f00 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/set_theory/cardinal/ordinal.lean | 7503ee6a185adf1c363cd26442099692247f058e | [
"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 | 47,886 | 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.finsupp.multiset
import order.bounded
import set_theory.ordinal.principal
import tactic.linarith
/-!
# Cardinals and o... |
82b1d703f3ee984e90f31c505397375bb6540708 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/submodule.lean | c4794edc3829dbc62b9db48b74443d500375e2cd | [
"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 | 36,744 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.subalgebra
import ring_theory.noetherian
/-!
# Lie submodules of a Lie algebra
In this file we define Lie submodules and Lie ideals, we construct the l... |
ec6e8d207ab7e438d58e981521e3f57a56c5df05 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/cardinal/finite.lean | 9e98d2bb67b27577bf8e47e9dede10361158d4b0 | [
"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 | 7,120 | 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.zmod.defs
import set_theory.cardinal.basic
/-!
# Finite Cardinality Functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requ... |
2ea8e919600e8e8bf00dfaeb8c977e2f98c67bd2 | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/category/applicative.lean | a4d264fa3050b814e969d16824120b37410e2115 | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 3,038 | 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, Sebastian Ullrich
-/
prelude
import init.category.functor
open function
universes u v
section
set_option auto_param.check_exists false
class applicative (f ... |
4ae5cc408213b71cdc8d6325a1ca0d18c9532585 | e8d6a03af236c510516281c3b076aa984c212a1f | /lean4/ModelCount/ModelCount/Iteg.lean | 961584fb35a7f73065eb0649b486dd19f2f823d9 | [
"MIT"
] | permissive | minsungc/model-counting | 9918a1afb2ef4cc91e6be906956b4ae2b82d10be | 02f650741bddb6a94a0729889dfeb8e9b0e8521a | refs/heads/main | 1,686,421,950,907 | 1,624,283,093,000 | 1,624,283,093,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,401 | lean | import ModelCount.Lib
/- itegs-/
inductive IteElt
| Tr : IteElt
| Fls : IteElt
| Var (i : Nat) : IteElt
| Ite (c t f : Nat) : IteElt
deriving Repr
instance : Inhabited IteElt := ⟨IteElt.Tr⟩
open IteElt
/-- `IteEltBounded x b` says that if `x` is an ite clause, then the bra... |
013e28cb5ebf9dc702d0dd6f929402c3b73aef4d | 618003631150032a5676f229d13a079ac875ff77 | /src/data/string/basic.lean | 4e1ca3d56ce9ba2ce8bfcf5579bd4376641cd084 | [
"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 | 2,528 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Supplementary theorems about the `string` type.
-/
import data.list.basic
import data.char
namespace string
def ltb : iterator → iterator → bool
| s₁ s₂ := begin
cas... |
d4234199e2f8a7b7e2345e3bab50b94b8fdd68ec | 78269ad0b3c342b20786f60690708b6e328132b0 | /src/library_dev/algebra/lattice/zorn.lean | 8e0c81bbe7fc738646afa931d076047fca3d793c | [] | no_license | dselsam/library_dev | e74f46010fee9c7b66eaa704654cad0fcd2eefca | 1b4e34e7fb067ea5211714d6d3ecef5132fc8218 | refs/heads/master | 1,610,372,841,675 | 1,497,014,421,000 | 1,497,014,421,000 | 86,526,137 | 0 | 0 | null | 1,490,752,133,000 | 1,490,752,132,000 | null | UTF-8 | Lean | false | false | 8,656 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Zorn's lemmas.
Ported from Isabelle/HOL (written by Jacques D. Fleuriot, Tobias Nipkow, and Christian Sternagel).
-/
import ...data.set
noncomputable theory
universes... |
894d5766df4d1ed6d8864f22d0afce245a3b2aa7 | 7571914d3f4d9677288f35ab1a53a2ad70a62bd7 | /library/init/data/nat/lemmas.lean | 0c21d5fd200d951e89099d5c093de24672a43292 | [
"Apache-2.0"
] | permissive | picrin/lean-1 | a395fed5287995f09a15a190bb24609919a0727f | b50597228b42a7eaa01bf8cb7a4fb1a98e7a8aab | refs/heads/master | 1,610,757,735,162 | 1,502,008,413,000 | 1,502,008,413,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50,506 | 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, Jeremy Avigad
-/
prelude
import init.data.nat.basic init.data.nat.div init.data.nat.pow init.meta init.algebra.functions
universes u
namespace nat
attribute ... |
6ecbbebbff9519ed8bbc9e84954716e1c51ab0ba | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/ring_theory/integral_domain.lean | b38239823e1c8416f2e6ab8054c02e08ad511d02 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,317 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial.ring_division
import group_theory.specific_groups.cyclic
import algebra.geom_sum
/-!
# Integral domain... |
77d2fe80f0825bd04528d3f71f37a0856dd0487a | f3be49eddff7edf577d3d3666e314d995f7a6357 | /TBA/Exercises/Exercise6.lean | 06d43cec920db1f1f1aa670eae06a10aa87b7c40 | [] | no_license | IPDSnelting/tba-2021 | 8b930bcd2f4aae44a2ddc86e72b77f84e6d46e82 | b6390e55b768423d3266969e81d19290129c5914 | refs/heads/master | 1,686,754,693,583 | 1,625,135,602,000 | 1,625,136,365,000 | 355,124,341 | 50 | 7 | null | 1,625,133,762,000 | 1,617,699,824,000 | Lean | UTF-8 | Lean | false | false | 9,450 | lean | /- Even more induction! -/
variable (r : α → α → Prop)
-- The reflexive transitive closure of `r` as an inductive predicate
inductive RTC : α → α → Prop where
-- Notice how declaring `r` as a `variable` instead of as a parameter instead of declaring it
-- directly as a parameter of `RTC` means we don't have to wr... |
9f6d290b050256bde02e30d41a041d02be81f6f7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/special_functions/gaussian.lean | f270da52503f38c7b824ba271bd6b399444d0ad4 | [
"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 | 7,655 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.special_functions.gamma
import analysis.special_functions.polar_coord
/-!
# Gaussian integral
We prove the formula `∫ x, exp (-b * x^2) = sqrt... |
45a24fa38fbaf26f25542438fb3d017f561f1d0b | a8c03ed21a1bd6fc45901943b79dd6574ea3f0c2 | /resolution.lean | 00c601c2cd564960ac6c2edcde54808b1cf428ae | [] | no_license | gebner/resolution.lean | 716c355fbb5204e5c4d0c5a7f3f3cc825892a2bf | c6fafe06fba1cfad73db68f2aa474b29fe892a2b | refs/heads/master | 1,601,111,444,528 | 1,475,256,701,000 | 1,475,256,701,000 | 67,711,151 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,954 | lean | import clause prover_state utils
open tactic monad
variable gt : expr → expr → bool
variables (ac1 ac2 : active_cls)
variables (c1 c2 : clause)
variables (i1 i2 : nat)
-- c1 : ... → ¬a → ...
-- c2 : ... → a → ...
meta def try_resolve : tactic clause := do
qf1 ← c1↣open_metan c1↣num_quants,
qf2 ← c2↣open_metan c2↣num... |
1fa95a015928d25c91ad1f1d1cc20a5d697bcf94 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Lean/Elab/Exception.lean | 3bcc81f81dca33fa96c90ca693538d6b9b1567c9 | [
"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 | 771 | 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
namespace Lean
namespace Elab
abbrev Exception := Message
def mkMessageCore (fileName : String) (fileMap : FileMap) (msgDat... |
104d6f1237eaf843e6b5704b0960a71eb0142873 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/category/bifunctor.lean | 26ac2b1ab0432b24c359ec26286d63e82bd70fc3 | [
"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 | 4,352 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Functors with two arguments
-/
import logic.function data.sum
category.basic category.functor
tactic.basic
universes u₀ u₁ u₂ v₀ v₁ v₂
open function
class bi... |
062d1bf24ae9f46af62da2323f7754be7d59843e | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.8.lean | b82677a9394c879a71a1ad23344844cb848c3ff0 | [] | 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 | 693 | lean | import standard
structure Semigroup : Type :=
(carrier : Type)
(mul : carrier → carrier → carrier)
(mul_assoc : ∀ a b c : carrier, mul (mul a b) c = mul a (mul b c))
notation a `*` b := Semigroup.mul _ a b
attribute Semigroup.carrier [coercion]
structure morphism (S1 S2 : Semigroup) : Type :=
(mor : S1 → S2)
(resp_m... |
494ba3f87abb3db3645466c525a34f6620c03f36 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/num/bitwise.lean | a89e892064278a0178c170f8da5802fdf48af6a0 | [
"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 | 7,576 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Bitwise operations using binary representation of integers.
-/
import data.num.basic
import data.bitvec
namespace pos_num
def lor : pos_num → pos_num → pos_nu... |
428b07ca8d7aadffdf355c8291658850dcd34088 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/ByteArray/Basic.lean | b99f4f3a28c5d1ff7bf8a3373e7bb1b2e5c73325 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 1,643 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Array.Basic
import Init.Data.UInt
import Init.Data.Option.Basic
universes u
structure ByteArray :=
(data : Array UInt8)
attribute ... |
872a63864c07dbb7f68197b499a6e93c2da6605f | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/algebra/ordered_ring.lean | 1e2cb09c2ecd82afc11c31915a632889bca658b5 | [
"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 | 16,384 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.ordered_group init.algebra.ring
/- Make sure instances defined in this file have lower priority than the ones
... |
8cd516809b164a0094d56972727f3988a537a4ed | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/nat/sub.lean | b850b62085c024d4dcac02ec32d1dfd62f38356e | [
"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 | 15,944 | 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
Subtraction on the natural numbers, as well as min, max, and distance.
-/
import .order
open eq.ops
namespace nat
/- subtraction -/
protected theo... |
4213a9fcc59d23a43af5b95a8f8972c0c25fdc0c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/specialize.lean | c8f65f76692b59439ccfdecbf819d478ada95601 | [
"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 | 617 | lean | open tactic
lemma test1 (x y z : Prop) (f : x → y → z) (xp : x) (yp : y) : z :=
begin
specialize (f xp yp), assumption
end
lemma test2 (B C : Prop) (f : forall (A : Prop), A → C) (x : B) : C :=
begin
specialize f _ x, exact f,
end
lemma test3 (B C : Prop) (f : forall {A : Prop}, A → C) (x : B) : C :=
begin
s... |
40105eb3c4b6d9c20503bb479060f563bfcc0c54 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/topology/algebra/multilinear.lean | 8288ac095d1d4b21da0083902b845b7a3fcc0c5d | [
"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 | 11,888 | 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 topology.algebra.module
import linear_algebra.multilinear
/-!
# Continuous multilinear maps
We define continuous multilinear maps as maps from `Π(i : ι... |
6385861fc43c1c3bd0c4cba73ef48aa601bc2d37 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/inline_bug.lean | 16701507462f520c30f41d79d6c93aeb214524a0 | [
"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 | 98 | lean | @[inline] def o (n : ℕ) := prod.mk n n
set_option trace.compiler.inline true
def f := (o 1).fst
|
b36aee42dd64484b97aa5e0c80b62c68bd528fdb | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/theories/analysis/real_limit.lean | c11c7f6a5df204e43c6201cc075d58b8f520dfe0 | [
"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 | 33,937 | 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
Instantiates the reals as a metric space, and expresses completeness, sup, and inf in
a manner that is less constructive, but more convenient, than the w... |
8f4a5e2addf54758bc7f53432781943bbf6d2a41 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /archive/100-theorems-list/83_friendship_graphs.lean | bf2f99f99942fcdc8007a16a7d531256d096f10f | [
"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 | 13,779 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller
-/
import combinatorics.simple_graph.adj_matrix
import linear_algebra.matrix.charpoly.coeff
import data.int.modeq
import data.zmod.basic
import... |
bf87323a792de1695cf35fe81a5d65c764f3a0f1 | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-10.lean | 8efb1b4258777a08b9593f9089ec8dcc1fbbb063 | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 405 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example : abs ( (120:ℝ) / 100 * 30 - 130 / 100 * 20 ) = 10 :=
begin
calc abs ( (120:ℝ) / 100 * 30 - 130 / 100 * 20 ) = abs 10 : by {ring}
... |
19b104002f184bd2522d86477ed5177875596c80 | b12fedd6f2d718a9a3bf95f8eeb27d592548c935 | /xenalib/m1f/square_root.lean | 1c38d0d0fa92c4a79fa670b037b05e0abd7883fe | [] | no_license | EllenArlt/xena | 014727beff556fdc8e844f1c9a06bf399fd752a0 | e372c75f1d59929aef750ce70448153c4b675760 | refs/heads/master | 1,630,567,635,968 | 1,514,648,885,000 | 1,514,648,885,000 | 115,862,301 | 0 | 0 | null | 1,515,693,953,000 | 1,514,723,974,000 | Lean | UTF-8 | Lean | false | false | 13,515 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Kevin Buzzard
A square root function.
1) The non-computable function
square_root : Π (x : ℝ), x ≥ 0 → ℝ
returns the non-negative square root of x, defined as the sup of all
the re... |
8d1ad46e4f077b63ae3fff01caa66921efd4db87 | c777c32c8e484e195053731103c5e52af26a25d1 | /archive/imo/imo1960_q1.lean | fa3ee7680092f695d7cf99d1c28edcf337276bc3 | [
"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 | 3,389 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import data.nat.digits
/-!
# IMO 1960 Q1
Determine all three-digit numbers $N$ having the property that $N$ is divisible by 11, and
$\dfrac{N}{11}$ is equal to the sum... |
a2749e70f9b4335275e74a7958e570dece96970d | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/ring_theory/localization.lean | 4af78312c7ecf3e7caa19ef206c75f9473d9a325 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69,505 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston
-/
import data.equiv.ring
import group_theory.monoid_localization
import ring_theory.ideal.operations
import ring_theory.algebr... |
6461e7502aa93210a653fdbfdb22b557d774cb1b | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/mvar3.lean | bc2914fc7a14f14c14d0b01d14ef24d4538af0f6 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 2,861 | lean | import Lean.MetavarContext
open Lean
def mkLambdaTest (mctx : MetavarContext) (ngen : NameGenerator) (lctx : LocalContext) (xs : Array Expr) (e : Expr)
: Except MetavarContext.MkBinding.Exception (MetavarContext × NameGenerator × Expr) :=
match MetavarContext.mkLambda xs e false true lctx { mctx := mctx, ngen := ... |
313e00a2525b5241b27a461d315bc8941a19ab44 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/order/filter/basic.lean | 338b495dc3c25a21740a4ed77a59b3261f97a369 | [
"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 | 103,805 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import order.zorn
import order.copy
import data.set.finite
import tactic.monotonicity
/-!
# Theory of filters on sets
## Main definitions
* `filter`... |
353cc53a66cd8c2198c566eea5b618b8359732b0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/hom/freiman.lean | f55b01bfd49b5e8c691871572143b0c7329e7758 | [
"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 | 17,494 | 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 algebra.big_operators.multiset.basic
import data.fun_like.basic
/-!
# Freiman homomorphisms
In this file, we define Freiman homomorphisms. A `n`-Freiman homomorp... |
4e54929d93a3522f9ceca68e70a3b03b880acc6e | 8c9f90127b78cbeb5bb17fd6b5db1db2ffa3cbc4 | /exists_easy.lean | 4cd00d6b0492bf2bc9a783d7d7da85f447404ba8 | [] | no_license | picrin/lean | 420f4d08bb3796b911d56d0938e4410e1da0e072 | 3d10c509c79704aa3a88ebfb24d08b30ce1137cc | refs/heads/master | 1,611,166,610,726 | 1,536,671,438,000 | 1,536,671,438,000 | 60,029,899 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 331 | lean | section
variable U : Type
variable P : U → Prop
variable p : Prop
variable Hforall : (∀ v : U, P v → p)
variable Hexist : (∃ u : U, P u)
theorem t1 : p :=
have H : (Π a, P a → p) → p, from exists.elim Hexist,
H Hforall
check exists.elim Hexist
end
|
96834113d74e19b3f5a871b5a46b98614a39ad7e | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/extract.lean | 2756d01a7556e711e90b66c2ffddaf73d9756f87 | [
"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 | 1,557 | lean | new_frontend
#eval "abc"
/- some "a" -/
#eval
let s₁ := "abcde";
let it₁ := s₁.mkIterator;
let it₂ := it₁.next;
it₁.extract it₂
/- some "" -/
#eval
let s₁ := "abcde";
let it₁ := s₁.mkIterator;
it₁.extract it₁
/- none -/
#eval
let s₁ := "abcde";
let it₁ := s₁.mkIterator;
let it₂ := it₁.next;
it₂.extract... |
484c9692fa170c6f50c174e73759fa24db5ecb84 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/explode_auto.lean | 6ca1e10fb88cc8d3e26525ac1c499d3f3de023f7 | [] | 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 | 4,156 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Minchao Wu
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
universes l
namespace Mathlib
/-!
# `#ex... |
46f19215f2b0b94c97d40f6f151d48298718773a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/derivation/basic.lean | 95a1d1ed3e837d521a96bdd25b3740a18f9fe065 | [
"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 | 13,866 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Andrew Yang
-/
import ring_theory.adjoin.basic
/-!
# Derivations
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR t... |
1ce0380ba983c64119344cec74ce85cb7379992b | 1789ef53372ad44b5ce5db2341556f91c8c31395 | /src/mathlib_tutorial.lean | ee64d813524b75fe980d476b48818f23b21bc303 | [] | no_license | iceplant/Mermin_Peres | d0a0f4c9f27111b3fee4e0ab5119ef1eafc59dc2 | d7ea59b5767157420b0fae9dfc09f22ad2826564 | refs/heads/master | 1,609,583,206,767 | 1,582,220,678,000 | 1,582,220,678,000 | 239,577,114 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 17,937 | 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... |
c9b61acfcf6e07bae0b321fcc12329a4560f0304 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/tactic/wlog.lean | 830906f2de4b21e07cb78431a59a68457491a0d9 | [
"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 | 9,406 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Without loss of generality tactic.
-/
import data.list.perm
open expr tactic lean lean.parser
local postfix `?`:9001 := optional
local postfix *:9001 := many
namespa... |
99dd6228506ff6851615d69d7aef00f1d924b329 | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /hott/types/sigma.hlean | 6bae143891d6c0d598a81d8c997a1e0c2713afbd | [
"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 | 16,762 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: types.sigma
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about sigma-types (dependent sums)
-/
import types.prod
open eq sigma sigma.ops equiv is_equiv
namespace sigma
... |
8ac7413948a2a26db45e4ed8812054b7ff455793 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/convex/star.lean | 3ef0ab4a502bb29bc4061b7ea11f2dbcc421a5dd | [
"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 | 16,741 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import analysis.convex.basic
/-!
# Star-convex sets
This files defines star-convex sets (aka star domains, star-shaped set, radially convex set).
A set is star-convex ... |
caa22eac7b7e87296a29e26b0aca028a07739f8b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/nat/choose/default.lean | 1b94964d592ee9dce82d4cc5c08862d35794f0f1 | [
"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 | 54 | lean | import data.nat.choose.dvd
import data.nat.choose.sum
|
67a5d8a2246e389fb5093026c87a76fd448ef39b | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/limits/shapes/images.lean | ef61f57f9c364c13efd8fc2aa0a8647a4d75c5c3 | [
"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 | 20,725 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.strong_epi
/-!
# Categorical images
We define the categorical im... |
08d009cb0c9458f90165e016ba9ce595abb268e1 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/order/rel_classes.lean | cb15319e6a830205bd61ff67090ee19ba0d35d0c | [
"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 | 17,532 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Yury G. Kudryashov
-/
import data.set.basic
/-!
# Unbundled relation classes
In this file we prove some properties of `is_*` classes defined in `init.al... |
6adbc4893b2e6f80660b060f9c09a6048c159db4 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/nondet.lean | b566163cd2d697f510a89a62539788da0a45b0d9 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,290 | lean | import Std.Control.Nondet
open Std
namespace ex1
-- The state is not backtrackable
abbrev M := NondetT $ StateT Nat $ IO
def checkVal (x : Nat) : M Nat := do
IO.println s!"x: {x}"
guard (x % 2 == 0)
pure x
def f : M Nat := do
let x ← NondetT.choose [1, 2, 3, 4, 5, 6, 7, 8]
checkVal x
def h : M Nat := do
... |
2ccb44bec25be7a97f0a816161e9876b414c630b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/qpf/multivariate/constructions/quot.lean | 0869d40073f28f88a960d59500d15d9a5b44735b | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,400 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon
-/
import data.qpf.multivariate.basic
/-!
# The quotient of QPF is itself a QPF
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requi... |
d5d33bda601078c5aab908570347ecde83e42374 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/scc.lean | cb5cd34cacf82b6059df1e5529d196cb94d84dd8 | [
"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 | 13,230 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.tauto
/-!
# Strongly Connected Components
This file defines tactics to construct proofs of equivalences between a set of mutually equivalent
propositions. Th... |
d42207f626bf9b5cc1f264b81abdcf709d0b6b6d | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/int/basic.lean | 4fb610560e59a2e296419695e8250b2853236b1c | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 49,425 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic data.list.basic algebra.char_zero algebra.order_functions
open nat
namespace int
... |
37e63924c6ea842a9c445b45370d7babbc57683f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/t11.lean | d7a077f6199dc6c6d0613aae6efcec1ed5559533 | [
"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 | 393 | lean | prelude constant A : Type.{1}
definition bool : Type.{1} := Type.{0}
constant Exists (P : A → bool) : bool
notation `exists` binders `, ` b:(scoped b, Exists b) := b
notation `∃` binders `, ` b:(scoped b, Exists b) := b
constant p : A → bool
constant q : A → A → bool
#check exists x : A, p x
#check ∃ x y : A, q x y
... |
da7cd65a2db5db992a5f2eb90a2ea9af1bf39f33 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/measure/measure_space.lean | ea4d5fd3d447282ba843ded3938b117e26c12150 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 117,954 | 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.measure.measure_space_def
import measure_theory.measurable_space
/-!
# Measure spaces
The definition of a measure and a measur... |
cadca7923c790ef263df4e10be9bdecf41a27c9e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/box_integral/basic.lean | 971bd2284073cbcaa632ffce2a5fa46ecf1ee7d6 | [
"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 | 43,292 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.partition.filter
import analysis.box_integral.partition.measure
import topology.uniform_space.compact
/-!
# Integrals of Riemann, Hens... |
fd9dc9238973f524305cc55ce484a8aa9e1f0562 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Compiler/IR/UnboxResult.lean | ec7de8284ae7a8f9cc936a51b07ca871ab9ed229 | [
"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 | 864 | 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.Data.Format
import Lean.Compiler.IR.Basic
namespace Lean
namespace IR
namespace UnboxResult
def mkUnboxAttr : IO TagAttribute :=
registerTagAt... |
6528afd0017fe19f67cd9fe8072e3f8fe970b20b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/matchMissingCasesAsStuckError.lean | 9b1a4bccfd0f0279ae46ce39f35d4328a09ccce7 | [
"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 | 97 | lean | example (a : α) (f : α → Option α) : Bool := by
match h:f a with
| some _ => exact true
|
aaad0c2edec0dfc048be2ec2b4a10a57d4882582 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/category_theory/abelian/non_preadditive.lean | e4a22f5a99f0bc1d97628b058bba549ecaa567c0 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 32,779 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.kernels
import category_theory.limits.shapes.pullbacks
import category_theory.... |
ba6c6216c08097f2af6cb09addefd305ef9a6fd8 | 8c433fccc85bae2c68bb34c8969dd5f6fe94945b | /src/mywork/hw4.lean | b792285c350ace4263f8bbc2b6f926c1e724f35e | [] | no_license | arh4uwe/cs2120f21 | f2a844538124e9739b94bdb99a86221866c854ac | 2cfb17c7b84a07a672b792fc85824f3de7c27e7a | refs/heads/main | 1,691,945,681,056 | 1,632,839,762,000 | 1,632,839,762,000 | 400,231,555 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,125 | lean | -- 1
example : 0 ≠ 1 :=
begin
-- ¬ (0 = 1)
-- (0 = 1) → false
assume h,
cases h,
end
-- 2
example : 0 ≠ 0 → 2 = 3 :=
begin
assume h,
have f : false := h (eq.refl 0),
exact false.elim (f),
end
-- 3
example : ∀ (P : Prop), P → ¬¬P :=
begin
assume P,
assume (p : P),
-- ¬¬P
-- ¬P → false
-- (P → ... |
bc1c4d79faa39d4c30b6023990be3fbda114f18f | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep_2/permutation_representation/regular_representation.lean | a1f12ac881789f9b10acf4dae218fe8a27cdd94f | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,310 | lean | import permutation_representation.action_representation
import Tools.tools
import basic_definitions.matrix_representation
open is_basis linear_map character
universes u v w w'
open general classical_basis
open finite_action
open fintype
variables (G : Type u) [group G]
(R : Type v) [comm_ring R]
(... |
56c92da824c877e6733820626c7048649a4e4cad | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/norm.lean | a4c3f9778722d4f1c461c536bd6a79be0bbcbbb2 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 13,150 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.primitive_element
import linear_algebra.determinant
import linear_algebra.finite_dimensional
import linear_algebra.matrix.charpoly.minpoly
import linea... |
bd3134f3e4b35df39e58b75b8ea29906d637cd10 | 7541ac8517945d0f903ff5397e13e2ccd7c10573 | /src/category_theory/universal/comma_categories.lean | 05ac651aac04a03e7340bc1ce4dbf5ed9ec1ec05 | [] | no_license | ramonfmir/lean-category-theory | 29b6bad9f62c2cdf7517a3135e5a12b340b4ed90 | be516bcbc2dc21b99df2bcb8dde0d1e8de79c9ad | refs/heads/master | 1,586,110,684,637 | 1,541,927,184,000 | 1,541,927,184,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,379 | lean | -- -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- -- Released under Apache 2.0 license as described in the file LICENSE.
-- -- Authors: Stephen Morgan, Scott Morrison
-- import category_theory.functor_category
-- import category_theory.walking
-- import category_theory.discrete_category
-- -- FIXME why... |
453be36555a9641ec68fa269970e7ef86ab4e072 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/multiset/nodup.lean | 3228ef95e41730e6fcfa731dee0121eabec9f829 | [
"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 | 9,027 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.multiset.powerset
import data.multiset.range
/-!
# The `nodup` predicate for multisets without duplicate elements.
-/
namespace multiset
open list... |
d152879251ee3ce89fbe9f5338250cc4e6686a43 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/LiftMethodIssue.lean | 250cf06296d7fed361672517ed68b23ef4969e98 | [
"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 | 743 | lean |
def tst : IO (Option Nat) := do
let x? : Option Nat ← pure none;
pure x?
def tst2 (x : Nat) : IO (Option Nat) := do
let x? : Option Nat := x;
if x?.isNone then
/-
We need the `some` because we propagate the expected type at `pure` applications.
The expected type is `IO (Option Nat)`, and we elaborate `x+1`... |
abdf8bcf6f3e63c8936bd5c3d33c7bbf35494f30 | 0003047346476c031128723dfd16fe273c6bc605 | /src/linear_algebra/basic.lean | 1bd9ac051860a5474bcf26057255f0d646239853 | [
"Apache-2.0"
] | permissive | ChandanKSingh/mathlib | d2bf4724ccc670bf24915c12c475748281d3fb73 | d60d1616958787ccb9842dc943534f90ea0bab64 | refs/heads/master | 1,588,238,823,679 | 1,552,867,469,000 | 1,552,867,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,362 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard
Basics of linear algebra. This sets up the "categorical/lattice structure" of
modules, submodules, and linear maps.
-/
import algebra.pi... |
b5a52dead03668f38907e21a1cb38a006bf49a31 | e2c1ee9c02c59b832eb48536755242ce5f9b2c3e | /src/t3.lean | 35c81134cbb4150df476025ff22fefa9f965e549 | [] | no_license | yairgueta/Lean | cb5bb16d81674e8a07f85c9dbeb56dc2f543d4eb | af8a4fa24f76edfdd0dd33f013db194e611e6a86 | refs/heads/master | 1,676,275,529,938 | 1,610,289,661,000 | 1,610,289,661,000 | 328,405,309 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,964 | lean | /- Yair Gueta : 208624908 : t3
Exercise 3
-/
import data.nat.basic
import data.real.basic
variables (α : Type*) (p q : α → Prop)
---- Q1 ----
example : (∀ x, p x ∧ q x) ↔ (∀ x, p x) ∧ (∀ x, q x) :=
iff.intro
(assume h :∀ x, p x ∧ q x,
have h₁ : ∀ x, p x, from
assume y,
show p... |
0526d063289b3e87d89b1c323e17b283af4b1ae2 | 456e966f070b2628cdcf863a8eaf383504abb2c9 | /Lean/src/Numerical/Array/Layout.lean | 6b21d06e6c18d17190db724502c52e49b0bf037f | [] | no_license | wellposed/formal-numerical | 1f964338577336ed731ed8d5b45c68a7e14e03ea | e54ff9cc72387595e8a18d62f5cf6ef9965eaeae | refs/heads/master | 1,610,245,015,998 | 1,450,065,168,000 | 1,450,065,168,000 | 47,095,150 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 186 | lean |
import data.bool
check bool
inductive Var (a b : Type) : Type :=
| Free : a -> Var a b
| Bound : b -> Var a b
check Var
inductive AST (a : Type) : Type :=
| V : a -> AST a
|
3ded54ef0ea202eecf77a27407876a901ab14f61 | ec62863c729b7eedee77b86d974f2c529fa79d25 | /14/b.lean | 6a543e577706086f3388ee97736224cc87b3354a | [] | no_license | rwbarton/advent-of-lean-4 | 2ac9b17ba708f66051e3d8cd694b0249bc433b65 | 417c7e2718253ba7148c0279fcb251b6fc291477 | refs/heads/main | 1,675,917,092,057 | 1,609,864,581,000 | 1,609,864,581,000 | 317,700,289 | 24 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,522 | lean | import Std.Data.HashMap
inductive Command
| setMask (mask : String) : Command
| setMem (addr : Nat) (val : Nat) : Command
open Command
instance : Inhabited Command := ⟨setMask ""⟩
structure St : Type where
mask : String
mem : Std.HashMap Nat Nat
def initSt : St :=
{ mask := "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX... |
b9db85d7ee06a10c72592f36f956ff975fcce3d3 | 4727251e0cd73359b15b664c3170e5d754078599 | /test/norm_swap.lean | 48bde1f14e3067294d7cbd5de8f78ebb197ae9b6 | [
"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 | 4,327 | lean | import logic.equiv.basic
import tactic.norm_swap
open equiv tactic
/--
To properly test that norm_swap works without the help of the simplifier,
we turn off the simp lemmas that simplify swaps of the form
`swap x y x = y` and `swap x y y = x`.
-/
local attribute [-simp] swap_apply_left
local attribute [-simp] swap_a... |
0f691ac123fa7de10bf487f71be43d27d200b62c | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/set/finite.lean | 614c5b362dc72879f00c53154f24e926d102006a | [
"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 | 28,070 | 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 data.fintype.basic
import algebra.big_operators.basic
/-!
# Finite sets
This file defines predicates `finite : set α → Prop` and `infinite : ... |
1409a48cf1e1901b85ce475f592a32a51d070fb5 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/functor_category.lean | 0d4632c974ec24f8f486a19294f53c154195de75 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 4,899 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.natural_transformation
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v... |
38bfc79a0372743878983c59d3d8c2e4eef1188b | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/full_subcategory.lean | 3be4a3958a199d71959a779844b41b34f5ab35c3 | [
"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 | 3,686 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.fully_faithful
namespace category_theory
universes v u₁ u₂ -- declare the `v`'s first; see `category_theory.category` for an exp... |
0c9b2d62be8598d10dda45be5c38ca01873046fc | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/calc_tac.lean | 9d7657367ebf1fe9ce5f6a33ded880fff2990721 | [
"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 | 362 | lean | axiom addz {A : Type} [has_add A] [has_zero A] : ∀ a : A, a + 0 = a
axiom addc {A : Type} [has_add A] : ∀ a b : A, a + b = b + a
example {A : Type} [has_add A] [has_zero A] [has_one A] (a b c : A) : b = 0 → a + b + c = c + a :=
assume h,
calc a + b + c = a + 0 + c : by rw h
... = a + c : by rw addz
... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.