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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4c2ad3ec72260d6f16ad74e94e7531bc150ee8f1 | 5ffb8080b18aa71638631832811ab18c0aec5879 | /src/subgroup/commutator.lean | 509c71aad7c7686f660e0ac639fafdf8d17790ec | [
"Apache-2.0"
] | permissive | isabella232/group-theory-game | 805ba8f473af58e3b0437121712dfc36f535b71a | 152ec4a92ad67b6174a3d240c63fa56a6df6017e | refs/heads/master | 1,679,206,314,315 | 1,611,521,951,000 | 1,611,521,951,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,098 | lean | import subgroup.cyclic
/- In this file we will define the commutator and some lemmas about it. -/
namespace mygroup
open_locale classical
open mygroup.subgroup mygroup.quotient group_hom function set
variables {G : Type} [group G]
/-- The commutator of two elements `a`, `b` of a group `G` is `a * b * a⁻¹ * b⁻¹`-/... |
3d9d15bdb52be2a15327da37a15b6b9d99dca50f | 76df16d6c3760cb415f1294caee997cc4736e09b | /lean/src/sym_factory/basic.lean | 1c293b9d0b3a05ce181b49c5ac39593b872d80b5 | [
"MIT"
] | permissive | uw-unsat/leanette-popl22-artifact | 70409d9cbd8921d794d27b7992bf1d9a4087e9fe | 80fea2519e61b45a283fbf7903acdf6d5528dbe7 | refs/heads/master | 1,681,592,449,670 | 1,637,037,431,000 | 1,637,037,431,000 | 414,331,908 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 20,897 | lean | import ..tactic.all
import ..cs.lang
import ..cs.sym
import ..op.sym
import ..cs.util
import .defs
import ..cs.lib
import ..op.simp
import ..basic.basic
import ..op.basic
import ..basic.sym
namespace sym_factory
open sym
open op.sym
open op.lang.op
lemma mk_tt.sound {m : model} : evalB m mk_tt = tt :=
by simp [mk_... |
5c527f93f282c8c1f7b5bb2a9e1ecdccd833131a | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/set/lattice.lean | f65833ae0b5089926dcfc02123af7de0a83fcc20 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,203 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import order.complete_boolean_algebra
import data... |
a78b0ee65a97b4547178e6dc6827f2e54c4c8814 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/periodic.lean | 7529aba1171e85d58a4fe924fb085563664bb0f3 | [
"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 | 14,390 | lean | /-
Copyright (c) 2021 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import data.int.parity
import algebra.module.opposites
import algebra.archimedean
/-!
# Periodicity
In this file we define and then prove facts about periodic... |
822242a837a916758d1e46fb00966efc426b54d6 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/category_theory/limits/shapes/zero.lean | 3a4e785b1c85c7f505f4655d76f03a90deaad03c | [
"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 | 15,266 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.products
import category_theor... |
5cefa7d72ea0c4a4a6b4b09f19885739a98a6c2f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/tower.lean | c23085bf3ebd39528b136227615caf70724d07d9 | [
"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 | 6,296 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.nat.prime
import ring_theory.algebra_tower
import linear_algebra.matrix.finite_dimensional
import linear_algebra.matrix.to_lin
/-!
# Tower of field extensions
In... |
8ee576ffd6a87ff3ea555899e7eac1daa82a9344 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/ppProofs.lean | 9a8462d32ea0de130ee9fab95f0d4d58846665e9 | [
"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 | 461 | lean | set_option pp.analyze.trustSubst true
set_option pp.proofs false
example (h : α = β) : h ▸ (a : α) = (b : β) := _
example (h : α = β) : id h ▸ (a : α) = (b : β) := _
example (h : α = β) : id h ▸ (a : α) = (b : β) := by simp (config := { failIfUnchanged := false })
set_option pp.proofs.withType false
example (h : α = β)... |
8eba92939f9895f5d045c17a70c2312952823fca | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/reflect.lean | 30255a06c7b5e64ff3dd11a1149a56c7dd1f34a9 | [
"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 | 26 | lean | #eval (reflect 0).to_expr
|
b88022084bec271a871f4b1c1ba43ff34b17cb8d | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/ResolveName.lean | 72ae6fbf2418dee2c663c0b952b3636b5683ae0f | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 14,414 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Data.OpenDecl
import Lean.Hygiene
import Lean.Modifiers
import Lean.Exception
namespace Lean
/-!
We use aliases to impleme... |
9948b8acb56073f5ee5dfb644829314615d20be8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/tfae.lean | 28cd9ad514de8597da88f5f639684f913e58a4dd | [
"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 | 2,235 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon
-/
import data.list.basic
/-!
# The Following Are Equivalent
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding... |
5ec2b5b9b3102fed5c98abcc7d1dbcce0c29bf93 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/topology/instances/nnreal.lean | 4aaf3c3569b67993a24d0e887ed859174c924c80 | [
"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 | 4,394 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
noncomputable theory
open set topological_space metric
open_l... |
2465d302f4b9d10d8b68f9ac86b5dc62414adb6b | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/algebra/biadditive.lean | ea04f78bf1ed367c5560458ca188dc124e46b885 | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,344 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file defines a typeclass for biadditive maps, i.e. maps
`m : α → β → γ` (where α, β and γ are commutative additive monoids)
such that `m a b` is an additive func... |
107cc93c41fee5a60cd41a7b0307274611e2fe67 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/isomorphism_classes.lean | 144652c36cc4c5fe0334c3143729e668752bca3b | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,651 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.category.Cat
import category_theory.groupoid
import category_theory.types
/-!
# Objects of a category up to an isomorphism
`is_isomorphic X... |
e66572a70fd9fd9c6718b16f57b274c65bb7eaf2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/category/Module/abelian.lean | 12497d47daed3012329daa9e1da9257d96c298fa | [] | 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 | 2,714 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.category.Module.kernels
import Mathlib.algebra.category.Module.limits
import Mathlib.... |
2768727fb571bfed0f4fcb0bb6761b6ca598f0e6 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/alg.lean | 1ef85d2f379e86c0b527f1e10ce59f79970979e4 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,250 | lean | class Semigroup (α : Type u) extends Mul α where
mul_assoc (a b c : α) : a * b * c = a * (b * c)
export Semigroup (mul_assoc)
class MulComm (α : Type u) extends Mul α where
mul_comm (a b : α) : a * b = b * a
export MulComm (mul_comm)
class CommSemigroup (α : Type u) extends Semigroup α where
mul_comm (a b : ... |
a55057bc5f7bb2eaddb73c430fc7a5164653ebef | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/801.lean | c48a7a6446336d0823cd56f3c831570fffcec5c7 | [
"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 | 202 | lean | syntax "a" num : term
macro_rules
| `(a 0) => `("zero")
| `(a 1) => `("one")
#check a 1
syntax "b" str : term
macro_rules
| `(b "foo") => `("foo!")
| `(b "bla") => `("bla!")
#check b "bla"
|
f00ac882ae702b7c59a175acbb134f83288ed51b | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/nat/basic.lean | eaccddeed09d092d2fb21970ba6131e9b9aac89b | [
"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 | 4,499 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.logic
notation `ℕ` := nat
namespace nat
inductive less_than_or_equal (a : ℕ) : ℕ → Prop
| refl : less_than_or_equal... |
9be593a494cc64e98cfacb8d51143c3663a734b0 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/noetherian.lean | 58a351b09d5ba5985b049c90cdae4b0044e54cd6 | [
"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 | 34,784 | lean | /-
Copyright (c) 2018 Mario Carneiro, Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import group_theory.finiteness
import data.multiset.finset_ops
import algebra.algebra.tower
import order.order_iso_nat
import ring_theor... |
08ee4c2502f965d48b6f238e6515d0b920471d9a | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/forcing2.lean | 0637eb3d1e956ddd629d9e2ebb8f3ff22bb9ea06 | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 29,080 | lean | -- import pSet_ordinal bvm bvm_extras cantor_space
-- open ordinal cardinal lattice bSet
-- noncomputable theory
-- local attribute [instance] classical.prop_decidable
-- local attribute [simp] omega_le_aleph
-- local infix ` ⟹ `:65 := lattice.imp
-- local infix ` ⇔ `:50 := lattice.biimp
-- local prefix `#`:70 :... |
9f9ae645b21f1e976147fc45cba4f1e00ac15331 | 28be2ab6091504b6ba250b367205fb94d50ab284 | /levels/solutions/world3_le.lean | 94b8a80b268ae6169708fe384dc4ed681ce93334 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 8,941 | lean | import mynat.le
import solutions.world2_multiplication
import tactic.interactive
-- #check tactic.interactive.rintro
meta def nat_num_game.interactive.rintro := tactic.interactive.rintro
namespace mynat
theorem le_refl (a : mynat) : a ≤ a :=
begin
use 0,
rw add_zero,
end
-- ignore this; it's making the "refl"... |
126fbdcff4f6dcd2207d30224dc0c34a9c4d7db2 | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/sheaves/stalk_of_rings.lean | 1ab953586a47132efc44479eae549c1886f18d17 | [] | 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 | 13,792 | lean | /-
Stalk of rings.
https://stacks.math.columbia.edu/tag/007L
(just says that the category of rings is a type of algebraic structure)
-/
import topology.basic
import sheaves.stalk
import sheaves.presheaf_of_rings
universes u v w
open topological_space
section stalk_of_rings
variables {α : Type u} [topologica... |
d0ce7d11cbb6a6e4dde70d436bf41f2d5deb0eb2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/control/bifunctor.lean | 2fed1353f19e9e4356c711955f30fb0ab36bc860 | [
"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 | 5,082 | 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 logic.function.basic
import control.functor
import tactic.core
/-!
# Functors with two arguments
This file defines bifunctors.
A bifunctor is a function `F : Type... |
2cf0ff30eadd48e6f24d30e48e93438fc14e73fa | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/deps/typed_smt2/src/galois/smt2/atom.lean | 969236925934375b0ffaa325e17c203eb6d45b82 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 2,571 | lean | import galois.sexpr
import .symbol
namespace smt2
------------------------------------------------------------------------
-- atom
/- A atomic expression within an SMTLIB s-expression. -/
inductive atom
| reserved_word (r:reserved_word) : atom
| symbol : symbol → atom
| numeral : ℕ → atom
namespace symbol
/-- Con... |
d76472924ba1f25a1d9616a790b8648ba9b7cc2b | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/interval_cases.lean | 4d77b592cb54f71a9258d4212a39722764b862af | [
"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 | 10,404 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
Case bashing on variables in finite intervals.
In particular, `interval_cases n`
1) inspects hypotheses looking for lower and upper bounds of the form `a ≤ n` and `n < ... |
71990e00107303ee533dc30316a1fb874f5eda45 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/print_ax2.lean | e629bda5ddd55c9d0f8ba2b602c8010b00a599ae | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62 | lean | import logic.axioms.hilbert logic.axioms.funext
print axioms
|
31b75e8e49303fe9794f45b5dd1b6d7d062a3922 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/analysis/normed_space/bounded_linear_maps.lean | 00d77d40710d763f482ca72209e240645db47c31 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 19,299 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Continuous linear functions -- functions between normed vector spaces which are bounded and linear.
-/
import analysis.normed_space.multilinear
noncomp... |
66a44a978d6782ab3a2cd15a75bde4b85d529ad6 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/hott/433.hlean | 5cfd8ece851496296f7c181197e952fb8406d1c9 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 4,831 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about pi-types (dependent function spaces)
-/
import types.sigma
open eq equiv is_equiv funext
namespace pi
universe variables l k
... |
0e6f0e3b27483f322b8bf83864c008aa8d932808 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Util/Trace.lean | 730d284e8aa0d8165059c3b8d14932fb822f1a3d | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 7,328 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
import Lean.Exception
/-!
# Trace messages
Trace messages explain to the user what problem Lean solved and what steps it took.
Think of... |
c58b505d10eda69b0ab5fa1ef92135025eb11893 | 50b3917f95cf9fe84639812ea0461b38f8f0dbe1 | /blog/group_axioms_other/group_axioms_variables.lean | a40685c907bb4992d1bb9cd587a56b971a9984bb | [] | no_license | roro47/xena | 6389bcd7dcf395656a2c85cfc90a4366e9b825bb | 237910190de38d6ff43694ffe3a9b68f79363e6c | refs/heads/master | 1,598,570,061,948 | 1,570,052,567,000 | 1,570,052,567,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,772 | lean | -- do I use a section? What even is a section?
-- so I use a namespace? What would a sensible convention be?
-- I don't care about junk like imports at the beginning of files
import data.equiv
namespace xena
-- This file is for undergraduate mathematicians who want to see the
-- proof that one of the axioms that Lean... |
d7bf7d656f676f99717b06fec22d9e3e0c2f93a5 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /data/pfun.lean | 5fe6c936c66cbeb1d37250868adca95bf2ecc87a | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,840 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.set data.set.basic data.option
/-- `roption α` is the type of "partial values" of type `α`. It
is similar to `option α` except the domain condition can ... |
6d306418888c34cd96ae433de887e45d6e849c61 | 4ec0e92c725fad3fd2871a0ab050a7da1c719444 | /src/mywork/lecture_10.lean | cf47d2c54e1e2c3bf86a7e00bb9de07c9c055b07 | [] | no_license | mitchelltaylor06/cs2120f21 | cc2c2b61a7e45c07faa849fcb8a66eb948753a25 | efb71a748d7c76e24834d03b8f01c3ae084c1756 | refs/heads/main | 1,693,841,444,092 | 1,633,713,850,000 | 1,633,713,850,000 | 399,946,415 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,486 | lean | /-
In today's class, we'll continue with our
exploration of the proposition, "false",
its elimination rule, and their vital uses
in logical reasoning: especially in
- proof of ¬P by negation
- proof of P by false elimination
Here are the inference rules in display
notation:
NEGATION INTRODUCTION
The first, proof... |
5f947d1df4e0d6f977480024c7557b253aa4fde6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/nat/squarefree.lean | 0674ab65285c2ed4d5d3159fecb4a4a09851dd9d | [
"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 | 22,026 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import ring_theory.int.basic
import data.nat.factorization.prime_pow
import algebra.squarefree
/-!
# Lemmas about squarefreeness of natural numbers
A number is squar... |
c919428e8eca7f1bd1963ccc4985ec5ad6bb17aa | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/linear_algebra/finite_dimensional.lean | 0c4717a2fa600f416d445d747d133a727556f74e | [
"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 | 25,687 | 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 linear_algebra.dimension
import ring_theory.principal_ideal_domain
/-!
# Finite dimensional vector spaces
Definition and basic properties of finite dimensional v... |
3ece62b315947138671d16815f70bd8435d83eb1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/e5.lean | 8f555407802ec5577e51257e25984a992aa355b7 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 1,581 | lean | prelude
definition Prop := Sort.{0}
definition false : Prop := ∀ x : Prop, x
#check false
theorem false.elim (C : Prop) (H : false) : C
:= H C
definition Eq {A : Type} (a b : A)
:= ∀ P : A → Prop, P a → P b
#check Eq
infix `=`:50 := Eq
theorem refl {A : Type} (a : A) : a = a
:= λ P H, H
definition true : Prop
:=... |
b6ba526d5eb99ffebaaefdfe95abd4463e9dba19 | 02fbe05a45fda5abde7583464416db4366eedfbf | /tests/lean/run/aexp.lean | ad1068af7ace7e657550ca3c65ca3c6c8bce9775 | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 1,655 | lean | namespace imp
open tactic
@[reducible]
def uname := string
inductive aexp
| val : nat → aexp
| var : uname → aexp
| plus : aexp → aexp → aexp
| times : aexp → aexp → aexp
instance : decidable_eq aexp :=
by mk_dec_eq_instance
-- @[reducible]
-- def value := nat
def state := uname → nat
open aexp
def aval : a... |
4d1dbd4e2c5b227b1ea3c0daff56e7bfd5ffb0e5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/simplex_category.lean | a75189e9c9056a0876e012221bf50b3707f9035c | [
"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 | 30,446 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison, Adam Topaz
-/
import tactic.linarith
import category_theory.skeletal
import data.fintype.sort
import order.category.NonemptyFinLinOrd
import category_t... |
8e9f80fd53051547bd1df222d7c33b3a8596f650 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/padics/padic_integers.lean | ef88fff2c3ae160aede01de240cb2c7ddc29fed6 | [
"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 | 10,436 | 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
-/
import data.int.modeq
import data.padics.padic_numbers
/-!
# p-adic integers
This file defines the p-adic integers ℤ_p as the subtype of ℚ_p with ... |
b23a5e4a2fa1fbdba560b149306e5ea28a81fcc2 | c777c32c8e484e195053731103c5e52af26a25d1 | /test/monotonicity.lean | c4ab5d00dbac9a502291d73ebc2ae65ff7b33bcc | [
"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 | 9,009 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.monotonicity
import tactic.norm_num
import algebra.order.ring.defs
import measure_theory.measure.lebesgue
import measure_theory.function.locally_integrable
im... |
4154a3fb2a56b9fe0b56fc971f21dfc2aa75913d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/logic/weak_fan.lean | 07d38f2185c8a78a86fd0d0f07c9832f1e1ae7ed | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 4,854 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
This file is based on Coq's WeakFan.v file
A constructive proof of a non-standard version of the weak Fan Theorem
in the formulation of which infinite paths a... |
5bcb84c66f0c6feb1cc744c904c6230ba637bc85 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/category/omega_complete_partial_order_auto.lean | 1dfa20dafb031124d0c9d49ae690f1a7f8fb8226 | [] | 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 | 5,999 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.omega_complete_partial_order
import Mathlib.order.category.Preorder
import Mathlib.category_... |
728da647756af63bb7b04fdccc439562a4061e7b | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean | ef3388ce7eaafec738915a9c3f3ac476060a4899 | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 3,123 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.Simp.SimpM
namespace Lean.Compiler.LCNF
namespace Simp
/--
Result of `inlineCandidate?`.
It contains information for inlining lo... |
28a8892510ae5dd13c4c8379dcb98cf1846f8f16 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/modular_forms/slash_actions.lean | 591978ad458c7494b6c010ee313326d9e503764f | [
"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 | 9,704 | lean | /-
Copyright (c) 2022 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import analysis.complex.upper_half_plane.basic
import linear_algebra.matrix.general_linear_group
import linear_algebra.matrix.special_linear_group
/-!
# Slash actions... |
794bec886df539e975129acd55d7bfbc140feb40 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /archive/imo/imo2013_q5.lean | d1308ec76bb8cf86770e3bb27e0490033424beef | [
"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 | 14,039 | lean | /-
Copyright (c) 2021 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import algebra.geom_sum
import data.rat.basic
import data.real.basic
/-!
# IMO 2013 Q5
Let ℚ>₀ be the set of positive rational numbers. Let f: ℚ>₀ → ℝ be a function ... |
96e11125abd25113c630925327dbd683fec676f3 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/run/reducible.lean | d87258157d415847d02c787fdc2bb1c8ce914a0c | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 980 | lean | open nat
definition x [reducible] := (10:nat)
definition y := (20:nat)
definition z [irreducible] := (30:nat)
definition w := (40:nat)
(*
local env = get_env()
local x = Const("x")
local y = Const("y")
local z = Const("z")
local w = Const("w")
local val_x = env:fi... |
e1815011a03ed58269e2a390622022d98e974766 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/conditionally_complete_lattice/basic.lean | 1f9cbdbbe8cda29cb18345e303b58931067dec61 | [
"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 | 56,979 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import order.bounds.basic
import order.well_founded
import data.set.intervals.basic
import data.set.lattice
/-!
# Theory of conditionally complete lattices.
>... |
15a8834333db3ee9d9efc67b89d613ec57161d8c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/finsupp/big_operators.lean | 9ff9d4c986385df68ff64cecdc480aabae6d3525 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 4,899 | lean | /-
Copyright (c) 2022 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.finsupp.basic
/-!
# Sums of collections of finsupp, and their support
This file provides results about the `finsupp.support` of sums of collections o... |
9e6e2cf6e9a4b47721410740693e1d2538702d41 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/category.lean | edf2595a388e8200c9d48e1f93fb3b14ab4c812f | [
"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 | 5,364 | 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, Johannes Hölzl, Reid Barton
Defines a category, as a typeclass parametrised by the type of objects.
Introduces notations
`X ⟶ Y` for the morphism spa... |
d8e95ff72fe37ebe08efb5dbd3328007aa01a72c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/scopedInstanceOutsideNamespace.lean | 6b14ea596e48ef5ba5a002fe4ebbbb1ae96999ae | [
"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 | 249 | lean | scoped instance : ToString Bool where -- Error
toString b := if b then "t" else "f"
#eval toString true
scoped infix:65 "+" => Nat.add -- Error
@[scoped instance] -- Error
def myInst : ToString Bool where
toString b := if b then "t" else "f"
|
c8c31503866cb0ccc5569f76dbf86bc0dc377666 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/group_action/opposite.lean | 6d3b9d2174b6e61290992f5276de078f2608bce5 | [
"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 | 5,962 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.group.opposite
import group_theory.group_action.defs
/-!
# Scalar actions on and by `Mᵐᵒᵖ`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this... |
2d116b4161bd9d3748c20fccdd7910478497762e | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/limits/functor_category.lean | 1a0e2920e78cbcb8b94cd4981a3557c8d964973c | [
"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 | 4,865 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.products.basic
import category_theory.limits.preserves
open category_theory category_theory.category
namespace category_theory.limits
univer... |
d552f3eeefb9a7eafd74aae2316e97454a25208c | bcdb337a071a6642a282053e6c285336b9716772 | /Tensor.lean | 603a25d28cc8f06f00395648ec56dd6b6bdf0385 | [] | no_license | kovach/lean4-sparse-matrix-test | 87a8b3a0b7785976eccfaf69b0d289940549f446 | be9f6029883c88bf1f7588a0e6d3cde033368809 | refs/heads/master | 1,678,513,001,774 | 1,614,027,522,000 | 1,614,027,522,000 | 341,329,194 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,609 | lean | -- Scott Kovach
import Tensor.Basic
open SparseVec
section ParsingMtx
def parseFloat! : String → Float
| str => do
let mut (sign, digits) : (Bool × String) := if str.front == '-' then (true, str.drop 1) else (false, str)
let pred c := c.isDigit
let (int, digits) := (Float.ofScientific (digits.takeWhile p... |
5eb2c5634682fec7e4fdd93c0f355223accf063a | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world3/level9.lean | 0ca6e968e0e0bb3c33cd39e9200f888313ef4f0b | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 1,066 | lean | import game.world3.level8 -- hide
import mynat.mul -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 9: `succ_mul`
You are equipped with
* `mul_assoc (a b c : mynat) : (a * b) * c = a * (b * c)`
* `mul_comm (a b : mynat) : a * b = b * a`
Re-read the docs for `rw` so you know all the tricks.
You ca... |
61c461d6a0da49ca2f77dc4a6f6bff8941dd52ad | 8f67b34bba98f894155dedf263bc8d61c31e89cd | /2ltt/simplicial.lean | 3bd82dbd28889865bd5dee2c1c0cc32f3f3ce7b1 | [] | no_license | 5HT/two-level | 3b1523db242cba819681b862fbc8f490d9571a66 | 370f5a91311db3b463b10a31891370721e2476e2 | refs/heads/master | 1,648,254,367,420 | 1,576,269,550,000 | 1,576,269,550,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,342 | lean | import data.fin algebra.monotone algebra.category
open function nat fin
definition fin_strict_order [instance] (n : ℕ) : strict_order (fin n)
:= strict_order.mk (λ i i', val i < val i')
(λ i, lt.irrefl (val i))
(λ a b c, lt.trans)
structure delta_plus (n m : ℕ) :=
(f : fi... |
b7458fe54b5445c391312f125ccd5aa2d2cb61b9 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/hom/units.lean | 95a912adabd39722d0b4ef655fea66fa00a978e9 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 12,421 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.hom.group
/-!
# Monoid homomorphisms and units
This file allows to lift monoid homomorphisms to group homomorphisms of th... |
ab88dc5b36052590a1e9aab41a1f0f548865a538 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0206.lean | c09e711ff4b0f07b0d6659a9cfb70c5c281d4a4b | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 72 | lean | constants p q : Prop
theorem t1 (hp : p) (hq : q) : p := hp
#check t1
|
3bcfdd9cf4bca222271e90096929da85c2503a64 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_back1.lean | 3bd380699252a23962e25fb1c3154c3ba1ba6f1f | [
"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 | 201 | lean | constant r : nat → Prop
constant p : nat → Prop
definition q (a : nat) := p a
lemma rq [intro] : ∀ a, r a → q a :=
sorry
attribute q [reducible]
example (a : nat) : r a → p a :=
by blast
|
ed877f55a3103bb564660bb0a815dbb9e79a6725 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/measure/regular.lean | 859709a8d3abb521687dd824a6490609841a7c05 | [
"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 | 33,701 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris Van Doorn, Yury Kudryashov
-/
import measure_theory.constructions.borel_space
/-!
# Regular measures
A measure is `outer_regular` if the measure of any measurable set `A` ... |
59f5836a0e1a56f01fe853858736b4bb052b1e1f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/combinatorics/quiver/path.lean | 430bbf2e3a708e6e9980b49d624c24385ec537cb | [
"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 | 2,985 | lean | /-
Copyright (c) 2021 David Wärn,. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn, Scott Morrison
-/
import combinatorics.quiver.basic
/-!
# Paths in quivers
Given a quiver `V`, we define the type of paths from `a : V` to `b : V` as an inductive
family. We... |
e3267335e806c6e6d6866cec52f8a9ffb542665f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/extend_from.lean | 474a27784ae7623d860839ad40e8b888759e054c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,026 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Anatole Dedecker
-/
import topology.separation
/-!
# Extending a function from a subset
The main definition of this file is `extend_from A f` where `f : X → Y`
and ... |
69f298c556be2a597d09d4050cb54cc9d6e38370 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/pi/algebra.lean | 4276fe8c609fc2c1d565811d61cf2ede2e85bf6e | [
"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 | 11,719 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
import algebra.group.to_additive
import algebra.group.defs
import data.prod.basic
import logic.unique
import tactic.congr
import tactic.simpa
i... |
577b9cdcae08946d37b2b06835a037978d60902c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/eq_to_hom.lean | 2bfea23606cb31901630f880cc93a55b22ddbea3 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 6,003 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
-/
import category_theory.opposites
/-!
# Morphisms from equations between objects.
When working categorically, sometimes one encounters an equation `h : X =... |
74546058797145b9f57e09183e61a855bf344d64 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /04_Quantifiers_and_Equality.org.35.lean | 5a95d7e62834a8b706548c376c443f8806945a75 | [] | 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 | 331 | lean | /- page 60 -/
import standard
import data.nat
open nat
-- BEGIN
variable f : ℕ → ℕ
premise H : ∀ x : ℕ, f x ≤ f (x + 1)
example (H' : ∃ x, f (x + 1) ≤ f x) : ∃ x, f (x + 1) = f x :=
obtain x `f (x + 1) ≤ f x`, from H',
exists.intro x
(show f (x + 1) = f x, from le.antisymm `f (x + 1) ≤ f x` (H x))
-- END
|
0b710ffe6ab2ab3dc30e883f0474ab8dc15836c1 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /tests/lean/run/macro3.lean | 2e354328a56d797258ac0015d78ebbf7f3fe3bcd | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 153 | lean |
syntax "call" term:max "(" (sepBy1 term ",") ")" : term
macro_rules
| `(call $f ($args*)) => `($f $(args.getSepElems)*)
#check call Nat.add (1+2, 3)
|
59414556f1fa4a97ee6b13dc47063d1f6cf99498 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Binary/Basic.lean | 7e3e299ac30bc64ef97ad3ed90c9258a37c119db | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 2,292 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean
import Mathport.Util.Misc
import Mathport.Bridge.Rename
import Mathport.Bridge.Config
namespace Mathport.Binary
open Lean Lean.Meta Lean.Elab.Comm... |
0dcc1f9af10aa130b2f3d82f781b433e34028c4a | 1446f520c1db37e157b631385707cc28a17a595e | /tests/bench/const_fold.lean | e52f037a048fb093371122c48fc56e8dd45e1209 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,198 | lean | inductive Expr
| Var : Nat → Expr
| Val : Nat → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
open Expr Nat
def mkExpr : Nat → Nat → Expr
| 0, v => if v = 0 then Var 1 else Val v
| n+1, v => Add (mkExpr n (v+1)) (mkExpr n (v-1))
def appendAdd : Expr → Expr → Expr
| Add e₁ e₂, e₃ => Add e₁ (appen... |
b04d2fbc3c1c8f131d913b066febb754b37da463 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/set.lean | 24b5226b31b0febc4b51e6781ed703063f03440b | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,254 | lean | ----------------------------------------------------------------------------------------------------
--- Copyright (c) 2014 Jeremy Avigad. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Jeremy Avigad, Leonardo de Moura
-------------------------------------------... |
8167e2577237db493ec2fb695aa6fd0baafea4f7 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/topology/sheaves/forget.lean | ece632266d177cc9fcf53e3be23504ff5015fb97 | [
"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 | 8,053 | 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 topology.sheaves.sheaf
import category_theory.limits.preserves.shapes.products
import category_theory.limits.types
/-!
# Checking the sheaf condition on the u... |
21e1709591aabdddc6c796582f57a2ce14eaf201 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/order/prime_ideal.lean | d602593536e5a53503d8564711032f4a46aeae10 | [
"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 | 3,188 | lean | /-
Copyright (c) 2021 Noam Atar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Noam Atar
-/
import order.basic
import order.ideal
import order.pfilter
/-!
# Prime ideals
## Main definitions
Throughout this file, `P` is at least a preorder, but some sections require... |
9bc36709dc7aba7a549e23c05417b1acd64feb52 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/vars1.lean | 08a17d0e9ed27f5e1d6bb9f1bffe646390d22483 | [
"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 | 112 | lean | import Int.
variables a b c : Int
variables d b e : Int
variables d e f : Int
eval 1 + 1 + a + b + c + d + e + f |
b19c762b9fb973580f35cc4e626f6e54b8dc2cc3 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/assertion1.lean | 0622cd0b1ce21ae02fe3b30c159e58abc553dcd7 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 1,262 | lean | universe variables u v
structure Category :=
(Obj : Type u)
(Hom : Obj → Obj → Type v)
universe variables u1 v1 u2 v2
structure Functor (C : Category.{ u1 v1 }) (D : Category.{ u2 v2 }) :=
(onObjects : C^.Obj → D^.Obj)
@[reducible] definition ProductCategory (C : Category) (D : Category) :
Category :=
{... |
0239aa78fece78a5a4c32148720926b72651f42c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/e8.lean | 64f6f7a431edf2c9709752a9d9b9ccf5b5ab58a8 | [
"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 | 851 | lean | prelude
precedence `+`:65
namespace nat
constant nat : Type.{1}
constant add : nat → nat → nat
infixl + := add
end nat
namespace int
open nat (nat)
constant int : Type.{1}
constant add : int → int → int
infixl + := add
constant of_nat : nat → int
attribute of_nat [coercion]
end int
-- Open "only" the... |
51cbfc4c1d052ced216b0a732ebd1fa5e20469e9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/tc_caching.lean | b1e8420f2d58a23d3466b1ebe6de2ff855803140 | [
"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 | 275 | lean | set_option trace.type_context_cache true
set_option trace.class_instances true
-- The following declaration should only do two type class searches, and each
-- only once: `has_one ℕ` and `has_add ℕ`
def foo : function.const _ ℕ (1 + 1 + 1) :=
show ℕ, from 1 + 1 + 1
|
621c530fe8eba473bfff416ae7f20d978c1a5ecd | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Parser/Transform.lean | 126d39cc8d9ae7b156f5376816a2ec6f91381abe | [
"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 | 1,570 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Init.Lean.Parser.Parser
namespace Lean
namespace Syntax
def manyToSepBy (stx : Syntax) (sepTk : String) : Syntax :=
match stx wi... |
3aed3dddca1f09e88fa3c38afe267e76e1d23caf | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/data/matrix/basic.lean | 0b0dd902f5d15cc3dfe0aa64a4580a9bf177166b | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 12,096 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
Matrices
-/
import algebra.module algebra.pi_instances
import data.fintype
universes u v w
def matrix (m n : Type u) ... |
e241ccebe10e802a30f026079ce0290df9ecd4ec | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Meta/Reduce.lean | 1656f0fe3ac311de461cb20781dca85b673286b5 | [
"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 | 1,472 | 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.Basic
import Init.Lean.Meta.FunInfo
namespace Lean
namespace Meta
partial def reduceAux (explicitOnly : Bool) (skipTypes : B... |
4bdbcf8863d7b720a7f75fe8e3803fb0b8094c6e | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/StructInst.lean | 84b5dc800b83c3b62d2e271818395c7fb4f62bfc | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 38,567 | 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.FindExpr
import Lean.Parser.Term
import Lean.Meta.Structure
import Lean.Elab.App
import Lean.Elab.Binders
namespace Lean.Elab.Term.StructI... |
3208d4eb4bbdaf4f86799ee727e438d347f7eb87 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/ordered_field.lean | a94ccf43096e12d5fb1b777c5ec4e802c6ceedeb | [
"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 | 27,205 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
import algebra.ordered_ring
import algebra.field
import tactic.monotonicity.basic
import algebra.group_power.order
im... |
1f795ec8b06b0bb9fbf47516e9c79ef0d05981c1 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/logic/instances.lean | 2f5cf01ca133867c2bcce7fb9d05209c001357fc | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,564 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Class instances for iff and eq.
-/
import logic.connectives algebra.relation
namespace relation
/- logical equivalence relations -/
definition is_equivalence_e... |
a511df996b70c9f293353b93e198bbe4bc7d1c93 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/deprecated/subring.lean | f1cce871b52011eef81c1bfc25848ce53fa62791 | [
"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 | 8,558 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import deprecated.subgroup
import deprecated.group
universes u v
open group
variables {R : Type u} [ring R]
/-- `S` is a subring: a set containing 1 and closed un... |
1068949ab5900ea9aaf555243cd4482a4316d00d | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-84.lean | 4d7be9cada47ba06ddb009ad512f044851f56c57 | [
"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 | 330 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import tactic.gptf
import data.real.basic
import algebra.floor
example : floor ( (9:ℝ) / 160 * 100 ) = 5 :=
begin
norm_num1,
rw floor_eq_iff,
split,
norm_num,
norm_n... |
19905167c5062217454fc70ad40e4aa669aa434e | 367134ba5a65885e863bdc4507601606690974c1 | /src/geometry/euclidean/triangle.lean | 1f0bf4a399fb3635eff6853db6e09bf79c6592c6 | [
"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 | 16,998 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import geometry.euclidean.basic
import tactic.interval_cases
noncomputable theory
open_locale big_operators
open_locale classical
open_locale real
open_locale real_inner... |
11f53e4da56a8b8e093a556b8fa2d149d380a0e5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/category/Module/colimits.lean | ea5a313780dd1cee413811093c120cbdee1950fa | [
"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 | 10,572 | 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 algebra.category.Module.basic
import group_theory.quotient_group
import category_theory.limits.concrete_category
import category_theory.limits.shapes.kernels
i... |
606bf0b01a577d7bb09c5ce8f39938678adbc778 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /list_append.lean | 20757eea8802c35e08e382e98ddf6b5ff52d8505 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43 | lean | theorem list_append_mem :∀ A B: list xnat |
f37223045dde957c29a4ea9acf3f1edfce90ec02 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/shapes/constructions/binary_products.lean | 00545817dd25ad10a18e515a9b8bf168128b0c97 | [
"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 | 1,676 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
universes v u
/-!
# Co... |
3ca53ba92e91227eb6d2d1d9b8f5878b009ec86f | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/data/string/ops.lean | 51a9d720ffa45a49efb602063b35949982a5b12d | [
"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 | 1,737 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.data.bool.lemmas
import init.data.string.basic
import init.meta.well_founded_tactics
namespace string
namespace iterator
@[simp] lemm... |
0e009a56a142fd0a7659111b0574c779daf3417a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/game/short.lean | 6b5867a25770ce81a2552720670d725f41af49e0 | [
"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 | 9,338 | 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.fintype.basic
import set_theory.cardinal.cofinality
import set_theory.game.birthday
/-!
# Short games
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any c... |
46b9820796a514eae17424cc3f7d995c01945a39 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/small_complete.lean | 2a3e54a107a88d3a2d3af9ff43b93cc3c45de5b5 | [
"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 | 2,050 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.products
import set_theory.cardinal.basic
/-!
# Any small complete category is a preorder
We show that any small category which ha... |
6e1421e11e6825d7aa2840e6e9029ddb0707f012 | 71c62298fd72620ddff9e4ed896ca29a77073a7c | /3.lean | 926285ffcb529dc2e2ffde1a9c1a1165249b6e43 | [] | no_license | BelegCuthalion/lean-exc | dcfe8e4c2293a661a830ce06f5fa032563901ec6 | 9143dc8b8aac62b9b2dcee85b619fe5c2e2a7144 | refs/heads/master | 1,688,507,036,780 | 1,627,883,419,000 | 1,627,883,419,000 | 335,643,688 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 7,157 | lean | variables P Q R S : Prop
-- commutativity of ∧ and ∨
example : P ∧ Q ↔ Q ∧ P :=
iff.intro (λ x : _, ⟨x.right, x.left⟩) (λ x : _, ⟨x.right, x.left⟩)
example : P ∧ Q ↔ Q ∧ P :=
begin
split,
assume pq,
show Q ∧ P, from ⟨pq.right, pq.left⟩,
assume qp,
show P ∧ Q, from ⟨qp.right, qp.left⟩
end
example... |
1fdca12b7d6340f994331a251c1ee8e60d664aab | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/mv_polynomial/basic.lean | a361af8d54c349b9ce0623898fe3d740f5587eb6 | [
"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 | 50,105 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import algebra.algebra.tower
import algebra.monoid_algebra.support
import data.finsupp.antidiagonal
import order.symm_diff
import rin... |
99915dfbde80efd7148d73abdee0856554363ca8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/pnat/factors.lean | 805954aae0c34f47339720e358cbfe013a6db6c6 | [
"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 | 14,740 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
-/
import algebra.big_operators.multiset.basic
import data.pnat.prime
import data.nat.factors
import data.multiset.sort
/-!
# Prime factors of nonzero naturals
> TH... |
a82e476d534d9878bb50857e086175f4831142e8 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/ordered_field.lean | a23f7fcc49f93b0f5da2a3d21536b2cd8518b14a | [
"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 | 25,418 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro
-/
import algebra.ordered_ring
import algebra.field
set_option default_priority 100 -- see Note [default priority]
set_option old_structu... |
2725258d44737016c0657922a9cb73f564b07b34 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/nat/digits.lean | cdc65f5a101d61b82620ce779506c782a6f68be2 | [
"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 | 10,833 | 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 data.int.modeq
import data.fintype.card
import tactic.ring
import tactic.interval_cases
/-!
# Digits of a natural number
This provides a basic API for extrac... |
1c20706aef3723a4b9f4ae0d245ac5ca03b6fe63 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/inf_tree.lean | 2f5d341cb2c19017bab7bf0fd53204ffd150b8c0 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,265 | lean | import logic data.nat.basic
open nat
inductive inftree (A : Type) :=
leaf : A → inftree A,
node : (nat → inftree A) → inftree A
namespace inftree
inductive dsub {A : Type} : inftree A → inftree A → Prop :=
intro : Π (f : nat → inftree A) (a : nat), dsub (f a) (node f)
definition dsub.node.acc {A : Type} (f : n... |
d2f2872e960d694e3245a71fdc695224395537cd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/1786.lean | 0a64cb734e4e245b2ed248a1e0d9c6e2fa745185 | [
"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 | 116 | lean | theorem nil_subset : (true ∧ true) = true := by simp
open list
example (x : ℕ) : x = x := by simp [nil_subset]
|
6fca5008f1b11f797458433c63a49a6f0f4feddd | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/measure_theory/set_integral.lean | 3f5ab4d2979fa929dcacd24c957f0f2a3eb8d22c | [
"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 | 28,702 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.bochner_integration
import analysis.normed_space.indicator_function
/-!
# Set integral
In this file we prove some properties of... |
0798a69b8e64b11f45589e145603ed39c4eb0b8a | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/category_theory/limits/cones.lean | 7a1a1c11088b088cee3dd9107a258050da9cfb27 | [
"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 | 14,482 | 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, Floris van Doorn
-/
import category_theory.const
import category_theory.yoneda
import category_theory.concrete_category.bundled_hom
import category_theo... |
6afc26aa3bd21c46b57c5c49967153c755cb1c77 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/special_functions/trigonometric/basic.lean | 6969a50c079096b63ebb857692ffb411366e9c79 | [
"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 | 41,492 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.exp
import data.set.intervals.infinite
/-!
# Trigonometric functions... |
b8e62e3319c95966eebdab695f4ab29e987c5984 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Group/limits.lean | dfd5969dd3b2d24195edb98bf6d37ea875492aa8 | [
"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 | 12,641 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Mon.limits
import algebra.category.Group.preadditive
import category_theory.over
import group_theory.subgroup.basic
import category_theory.con... |
a3fa1f1a2a1c03582beff13c0bdfd0693e78b474 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/662.lean | c6a868976561e4e7917db957b51c04ba319e269b | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,156 | lean | open nat
inductive type : Type
| Nat : type
| Func : type → type → type
open type
section var
variable {var : type → Type}
inductive term : type → Type
| Var : ∀ {t}, var t → term t
| Const : nat → term Nat
| Plus : term Nat → term Nat → term Nat
| Abs : ∀ {dom ran}, (var dom → term ran) → term (Func dom ran)... |
1feb5270a5c566b902d392d4b936271823bdd1b2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/rat/defs.lean | cb303b9cfffe0748ebce7a720a5e0dbb59193023 | [
"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 | 22,972 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.init
import data.int.cast.defs
import data.int.dvd.basic
import algebra.ring.regular
import data.nat.gcd.basic
import data.pnat.defs
... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.