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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1a70918169ae2e111e270674875e98a7b491615a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/preadditive/additive_functor.lean | 5feb4407bbef75382aa2df9efccee65c649a0b8e | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 5,364 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Scott Morrison
-/
import category_theory.preadditive
import category_theory.limits.shapes.biproducts
/-!
# Additive Functors
A functor between two preadditive categories is c... |
c5a25063092538d41461c500ca201dc483e22e93 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/derivation.lean | 9c8f44687429af08c6c2785f72a054eff795a33d | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,021 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import algebra.lie.of_associative
import ring_theory.algebra_tower
/-!
# Derivations
This file defines derivation. A derivation `D` from the `R`-algebra `A` to t... |
d95c50bc59de9062e9198ce79b921dae75fb52b5 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/category/UniformSpace.lean | 5128c59f9799203e25705fa04a14c3d23f3413c9 | [
"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 | 6,387 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Patrick Massot, Scott Morrison
-/
import category_theory.monad.limits
import topology.uniform_space.completion
import topology.category.Top.basic
/-!
# The category of un... |
85fe35ae71c6e02913079c25d87d2caa8c376e43 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/string.lean | 1eb1322158fe05f98885116060546e36240af970 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 2,486 | 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 data.char
namespace string
def ltb : iterator → iterator → bool
| s₁ s₂ := begin
cases s₂.h... |
c357e35987f561f1c8a2d08a0df59b494dee1e31 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/topology/algebra/multilinear.lean | a6c334934c571701d0db7724544883fdef0f1e44 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 12,870 | 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... |
6868684460a14d9c5119262aa7c1284a2a02362e | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/zzz_junk/lang/arith_expr.lean | 60a6bb21b08e4d58a49abdedf9ae78d5cfbc11e7 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 1,190 | lean | import .env
-- Abstract syntax of arithmetic expressions
inductive arith_expr : Type
| lit_arith_expr (n : nat)
| var_arith_expr (v : var nat)
| add_arith_expr (e1 e2 : arith_expr)
| mul_arith_expr (e1 e2 : arith_expr)
open arith_expr
universe u
--def arith_expr_eval : var_state nat → arith_expr → nat
def arith_... |
9578b01bb98d9db5992ebf71c70efd2aa4b61076 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/limits/examples/CommRing/equalizers.lean | 3d85d017c9694a4ab994b76a8d673723b5154239 | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,714 | lean | import ring_theory.subring
import tactic.subtype_instance
import category_theory.examples.rings
import category_theory.limits.equalizers
universes u v w
namespace category_theory.examples
open category_theory
open category_theory.limits
variables {α : Type v}
-- While it seems this might be a good global extension... |
d5e5e0b8a16b376e22574ff1b163c2a986036238 | 1446f520c1db37e157b631385707cc28a17a595e | /src/Init/Data/Int/Basic.lean | 1da9c54831f40f1d4d092c5e656126eba578aa8a | [
"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 | 4,409 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
The integers, with addition, multiplication, and subtraction.
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.List
import Init.Data.Repr
import ... |
334e58536891f08af85515975bbbbb3fb11fadfb | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Data/OfScientific.lean | 584bec1c3c59a0fc681f82adbb8566c7c82d6577 | [
"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 | 1,664 | 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
-/
prelude
import Init.Meta
import Init.Data.Float
import Init.Data.Nat
/-- For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).
Examples:
- `O... |
9708b8a94ece2a3bfaabe1fbcbde55b70e8393c5 | d8820d2c92be8052d13f9c8f8c483a6e15c5f566 | /src/M40002/M40002_C7.lean | 4240b22b232105d0eaf6fe5c2497ebee7eeb73b9 | [] | no_license | JasonKYi/M4000x_LEAN_formalisation | 4a19b84f6d0fe2e214485b8532e21cd34996c4b1 | 6e99793f2fcbe88596e27644f430e46aa2a464df | refs/heads/master | 1,599,755,414,708 | 1,589,494,604,000 | 1,589,494,604,000 | 221,759,483 | 8 | 1 | null | 1,589,494,605,000 | 1,573,755,201,000 | Lean | UTF-8 | Lean | false | false | 518 | lean | -- M40002 (Analysis I) Chapter 7. Darboux Integration
import M40002.M40002_C6
namespace M40002
variables {a₁ a₂ : ℝ}
-- Definition of partitions
structure darboux_partition (n : ℕ) (a b : ℝ) :=
(xₖ : ℕ → ℝ)
(seq_min : xₖ 0 = a)
(seq_max : xₖ n = b)
(increasing : strict_mono xₖ)
#check darboux_partition
--theorem ... |
8bb4a67208106918a513d41ac25f86eb76641bf2 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/global.lean | 6afe29c4de35ef71c64ad5a78b1ed5aa4ce53e2d | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 63 | lean | import algebra.category.CommRing
import category_theory.types
|
2be9bb399892b49718b8b2b4e8553422d59a1959 | 367134ba5a65885e863bdc4507601606690974c1 | /src/set_theory/ordinal_notation.lean | 04090459047162d0233439e56de379c83be5a58a | [
"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 | 35,723 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import set_theory.ordinal_arithmetic
/-!
# Ordinal notation
Constructive ordinal arithmetic for ordinals below `ε₀`.
We define a type `onote`, with constructors `0... |
152d795a420ea21dd437c9ca96edbc39082198a9 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /analysis/topology/topological_structures.lean | 514a9c05b53e819cd891b5c0a0ecbcd214c0ea23 | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 46,946 | 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
Theory of topological monoids, groups and rings.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
... |
48deaaf909291a1766e87aae2e05ee991c20425e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/imp_curly.lean | 7e83f4a2a87a576f6915ed2755e638f090182b7b | [
"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 | 255 | lean | import data.nat.basic
open nat
theorem zero_left (n : ℕ) : 0 + n = n :=
nat.induction_on n
!nat.add_zero
(take m IH, show 0 + succ m = succ m, from
calc
0 + succ m = succ (0 + m) : add_succ
... = succ m : IH)
|
15db4046dfd38cd736cc9ee6fa32ce5df034af61 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/ae_eq_fun_auto.lean | 186e1e728843def2e83764f259fd6915ee6b5b1b | [] | 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 | 35,917 | lean | /-
Copyright (c) 2019 Johannes Hölzl, Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Zhouhang Zhou
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.integration
import Mathlib.order.filter.germ
i... |
776dc8e72d243f523d931a658daef584a8a9a56c | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.13.lean | 3c32a7398266e1a8bd58415ce35865c8e37b547c | [] | 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 | 171 | lean | import standard
namespace hide
-- BEGIN
definition ite (c : Prop) [H : decidable c] {A : Type} (t e : A) : A :=
decidable.rec_on H (λ Hc, t) (λ Hnc, e)
-- END
end hide
|
60874d5dfadf3c8c83dc494172cf199a247d31f6 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/finset/fold.lean | b42a0a14e09a4e1c64f63f780562fa4856d98815 | [
"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 | 9,017 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.order.monoid.with_top
import data.finset.image
import data.multiset.fold
/-!
# The fold operation for a commutative associative operation over a finse... |
b497726a3475484cc04f6e673af8fd915e362499 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/category_theory/preadditive/schur.lean | d26a1bc79623df78dc01fe542415b935b2583de3 | [
"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 | 6,925 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.simple
import category_theory.linear
import category_theory.endomorphism
import field_theory.is_alg_closed.basic
/-!
# Schur's ... |
89977e8c12cf6328b21eb2a7031cf8a3212eafbd | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/j1.lean | 1512acd8764047488c9e5a30500acc4dd44b21ef | [
"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 | 694 | lean | import tactic
import macros
definition bracket (A : Type) : Bool :=
∀ p : Bool, (A → p) → p
rewrite_set basic
add_rewrite imp_truel imp_truer imp_id eq_id : basic
theorem bracket_eq (x : Bool) : bracket x = x
:= boolext
(assume H : ∀ p : Bool, (x → p) → p,
(show ((x → x) → x) = x, by simp basic) ◂ H... |
a5c38d949bc64cbd3602db129a74e030ad315ef2 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /category_theory/natural_transformation.lean | 3393fbaecd02a595bcfc8a4b2034550deceae1be | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 4,718 | 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
Defines natural transformations between functors.
Introduces notations
`F ⟹ G` for the type of natural transformations between functors ... |
802650e59ea71696771ff2d702e4be16d66b6b74 | 4e3bf8e2b29061457a887ac8889e88fa5aa0e34c | /lean/love12_basic_mathematical_structures_exercise_solution.lean | 56b1f566047cac806fda03894beed8d871b7d16b | [] | no_license | mukeshtiwari/logical_verification_2019 | 9f964c067a71f65eb8884743273fbeef99e6503d | 16f62717f55ed5b7b87e03ae0134791a9bef9b9a | refs/heads/master | 1,619,158,844,208 | 1,585,139,500,000 | 1,585,139,500,000 | 249,906,380 | 0 | 0 | null | 1,585,118,728,000 | 1,585,118,727,000 | null | UTF-8 | Lean | false | false | 3,499 | lean | /- LoVe Exercise 12: Basic Mathematical Structures -/
import .lovelib
import .love12_basic_mathematical_structures_demo
namespace LoVe
set_option pp.beta true
/- Question 1: Type Classes -/
namespace btree
/- Recall the datatype `btree` we introduced earlier: -/
#check btree
/- The following function takes two... |
8863a6529cd7ca070adacea0fefc53eede5f2bb7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/field_theory/galois.lean | 5b4cc08749054af9c09f448155f48bc994052fa2 | [
"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 | 18,907 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.primitive_element
import field_theory.fixed
import group_theory.group_action.fixing_subgroup
/-!
# Galois Extensio... |
d17fe185889f7a418feafa9c1290484e73ea23fc | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/hmul2.lean | e6fe11f4ab31414926343bf39ec37b204b8f6b51 | [
"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 | 1,111 | lean | @[defaultInstance]
instance [Mul α] : HMul α (Array α) (Array α) where
hMul a as := as.map (a * ·)
instance [Mul α] : Mul (Array α) where
mul as bs := (as.zip bs).map fun (a, b) => a * b
#eval 2 * #[3, 4, 5]
#eval (2:Nat) * #[3, 4, 5]
#check fun x => x * 2
#check fun y : Int => let x := 1; x * y
#check fun y :... |
791b85e1b396ca89d988f7329c272f29c92a5e81 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/where.lean | af89ecb3318cf76917763e8a81918a5af9aedfb0 | [
"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 | 7,335 | lean | /-
Copyright (c) 2019 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek
-/
import tactic.core
/-!
# The `where` command
When working in a Lean file with namespaces, parameters, and variables, it can be confusing to
identify what the current "pa... |
ee4f8713e63821848dc58a11d5dbbec23221cd86 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/pointwise.lean | 8a442825c789c7d6e1fcfd2bd4a6aba2e98f80e6 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,757 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import algebra.module.basic
import data.set.finite
import group_theory.submonoid.basic
/-!
# Pointwise addition, multiplication, and scalar multipl... |
8aa91cf3aeea8dbea56537b0646b5e5829131189 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Leanpkg/LeanVersion.lean | 6622486fd5111cb5f48c3996be5fff5f552e9a6f | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 723 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
-/
namespace Leanpkg
def leanVersionStringCore :=
s!"{Lean.version.major}.{Lean.version.minor}.{Lean.version.patch}"
def leanVersionString :... |
3b49fd775d966d79aafd4e441ed4de211abd1458 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_392.lean | e721acfb731fbb318896ecb473546088718f0687 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 139 | lean | import data.int.basic
-- BEGIN
example : (∀ x : ℤ, x^2 ≥ 0) → ((-(4 : ℤ))^2 ≥ 0) :=
begin
intro h,
exact h (-4),
end
-- END |
0540eb255d9c3df5db3351e91fda3d5c52016307 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/combinatorics/adj_matrix.lean | 1c7f34d915d7ab1f155d2d7cce28ad376798ada4 | [
"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 | 3,149 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson, Jalex Stark.
-/
import linear_algebra.matrix
import data.rel
import combinatorics.simple_graph
/-!
# Adjacency Matrices
This module defines the adjacency matrix of a ... |
f4a7026e71243accc8171ae6ebd5efce249217c6 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/data/polynomial/eval.lean | de3d21442d62735e5853005424bd91d36a22215e | [
"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 | 28,790 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.degree.definitions
/-!
# Theory of univariate polynomials
The main defs here are `eval₂`, `eval`,... |
0cda5ba8972585fc205ae41c3e36f6b9f66d608a | 5bcdf53ae59d93bf05c4a6b7780107f9bba8a987 | /4_Predicates.lean | eae6df94b193ec57eed21a45bc2b1dfb728726ae | [] | no_license | joshpoll/CPDT-examples-in-Lean | 3241734e80c8507934a9fbf2ddfed9eedc1ed27b | 287aebec9a4a9dc4a07b8e4cc885c81afe400f1a | refs/heads/master | 1,611,267,038,438 | 1,498,610,301,000 | 1,498,610,301,000 | 95,181,904 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,997 | lean | import mini_crush
namespace hide
-- *Inductive Predicates
#print unit
#print true
-- term T : Type is a type of programs
-- it is inhabited by programs
-- term T : Prop is a logical proposition
-- it is inhabited by proofs
-- there *is* a difference between programming and proving in practice
-- proof irrelevance
... |
f19b855cc9b434d9e86eaa006178059f099829a1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/trace2.lean | 44b26f45fd96eb06b05096502a13814d811b6b0c | [
"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 | 307 | lean | open tactic
declare_trace foo.bla
example : true :=
by do
when_tracing `foo.bla $ do {
trace "hello",
trace "world" },
constructor
set_option trace.foo.bla true
print "------------"
example : true :=
by do
when_tracing `foo.bla $ do {
trace "hello",
trace "world" },
constructor
|
8ebc0aa8a4f9f7be70f9e8ffe0233d0b3b6539d5 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/banach_steinhaus.lean | 215a4b76028b6382a85a55da5926953b411172ed | [
"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 | 6,380 | lean | /-
Copyright (c) 2021 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.operator_norm
import topology.metric_space.baire
import topology.algebra.module.basic
/-!
# The Banach-Steinhaus theorem: Uniform Boundedne... |
6cedf2fb223fd29f23b85217c055e841c386613b | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/integrals.lean | 9291d26b5273a74de8c0a1ed58fceb2cdc044ee4 | [
"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 | 32,658 | 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 measure_theory.integral.fund_thm_calculus
import analysis.special_functions.trigonometric.arctan_deriv
/-!
# Integration of specific interval integrals
... |
bf8d2a77afd961108b2e396bb3c8e96a8bb54a46 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/types/pointed.hlean | c9f5353947160a27361ed2b8dde9ca34079bef7e | [
"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 | 9,866 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import arity .eq .bool .unit .sigma
open is_trunc eq prod sigma nat equiv option is_equiv bool unit
structure pointed [c... |
baeba083048bafa5d8385389f72a1f046aa093f5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/vector3.lean | 925a9cb462d7736a0868a10b6c3674417ee33ff0 | [
"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 | 8,024 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fin.fin2
import tactic.localized
/-!
# Alternate definition of `vector` in terms of `fin2`
This file provides a locale `vector3` which overrides the `[a... |
f2fcfb27be3bb8238a621ff85059b4f2bf720699 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/level1.lean | 257fe6e79eb92ce183596e062544e467c510b715 | [
"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 | 35 | lean | variable T : (Type (max U+1 U+2)).
|
8ae335ba3aac10273635b831f2e60e93ce49accf | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/specific_limits.lean | e8642844330a56b6ad401b6bc11d9ede2375f66a | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,391 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.geom_sum
import analysis.asymptotics.asymptotics
import order.filter.archimedean
import order.iterate
import topology.instances.ennreal
/-!
# A collec... |
50d566c6e71bffb7126648918232e0b6b44879f1 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/punit_instances.lean | c8646f87c12aee402f23dca0c2d6bf34582e234d | [
"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 | 3,434 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Instances on punit.
-/
import algebra.module
universes u
namespace punit
variables (x y : punit.{u+1}) (s : set punit.{u+1})
@[to_additive add_comm_group]
instance : comm_gro... |
6650ba4add763f13c7af765326e19b25b2b766b2 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/homotopy/vankampen.hlean | 71dd3850860800613a92d8afadcf76aca8ffbb5a | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 14,775 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import hit.pushout hit.prop_trunc algebra.category.constructions.pushout
algebra.category.constructions.fundamental_groupoid algebra.category.functor.equi... |
e85edbebebafd2c673339a7eb0137124b1e401e9 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/topology/instances/nnreal.lean | 3272ac2f11d3f9e89726f5d800ce47561db04185 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 3,970 | 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 data.real.nnreal topology.instances.real topology.algebra.infinite_sum
noncomputable theory
open set topological_space metric
names... |
aedbf9e9dc19b64992543a1dcc94c5f11d30fd8f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/binsearch.lean | e39767faa4255c76d9f2f861e9956bb4a804cdae | [
"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 | 441 | lean | partial def mkAssocArray : Nat → Array (Nat × Bool) → Array (Nat × Bool)
| 0, as => as
| i+1, as => mkAssocArray i (as.push (i, i % 2 == 0))
def tst (n : Nat) : IO Unit :=
do
let as := mkAssocArray n Array.empty;
IO.println as;
let as := as.qsort (fun a b => a.1 < b.1);
for i in [:2*n] do
let entry := as.binSearc... |
5f5cc75e9f892690196be8d3e17a2f8334baeb46 | 6fbf10071e62af7238f2de8f9aa83d55d8763907 | /answers/hw1.lean | cba24904826fd4a82951a9cb7d977850dc788aa6 | [] | no_license | HasanMukati/uva-cs-dm-s19 | ee5aad4568a3ca330c2738ed579c30e1308b03b0 | 3e7177682acdb56a2d16914e0344c10335583dcf | refs/heads/master | 1,596,946,213,130 | 1,568,221,949,000 | 1,568,221,949,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,275 | lean | section hw1
/-
1a. (10 pts) Define a binding from the name "seven" to the value 7.
-/
def seven: ℕ := 7
/-
1b. (10 pts) Use #check to determine the type of "seven"
-/
#check seven
/-
2a. (15 pts) Define a function in "C Style" (see section 2.4.6.2)
called "cube" that takes a single argument, x, and returns the val... |
a351ebf1bf8a6e40951cf8be9e2390c209016951 | bb31430994044506fa42fd667e2d556327e18dfe | /src/probability/kernel/basic.lean | 6dba6cfff2e73906194b5004e3eddd102c62ba08 | [
"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 | 22,490 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.constructions.prod
/-!
# Markov Kernels
A kernel from a measurable space `α` to another measurable space `β` is a measurable map
`α → measure β`,... |
392f43b6a4e7694dbf217c0df08f0f31e8ef09aa | b561a44b48979a98df50ade0789a21c79ee31288 | /stage0/src/Lean/Parser/Term.lean | 03f060740edd6a33acb085403f03cf6283720ef5 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,546 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Attr
import Lean.Parser.Level
namespace Lean
namespace Parser
namespace Command
def commentBody : Parser :=
{ fn := ... |
a014beccc40d23fcb4b40c5c53302ab2a87c173a | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/multilinear/basic.lean | 343cbdbab88b01646bc847d1fc9316242fac45fd | [
"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 | 52,298 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic
import algebra.algebra.basic
import algebra.big_operators.order
import algebra.big_operators.ring
import data.fintype.card
import da... |
70e4ffdc87a356185631fb5aabfbcf9157281e0a | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/algebra/binary.lean | 452fb63311587cc08b42ba9bb7d0c8b6836c31aa | [
"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 | 1,263 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import logic.eq
open eq.ops
namespace binary
context
variable {A : Type}
variable f : A → A → A
infixl `*` := f
definition commutative ... |
fbbea1e9d8ac77027274c93b35ee9fa7895d9d4c | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_364.lean | c47e9e25b03e2a9750d3bca2ab77a1f9727a118f | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 281 | lean | variables p q r : Prop
-- BEGIN
example (h : p ∨ q) (h₂ : p → r) (h₃ : q → r) : r :=
begin
cases h with hp hq,
{ exact h₂ hp, }, -- `h₂ hp` is implication elimination to give `r`.
{ apply h₃, exact hq, }, -- A tactic-style implication elimination.
end
-- END |
eb620b3edff9fe1dbc4dd4119df71c8921e85a73 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Widget/TaggedText.lean | 7b1992c1d3c927c49ba0cc7cebd19de76ba1f85f | [
"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 | 4,251 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Json.FromToJson
import Lean.Server.Rpc.Basic
namespace Lean.Widget
open Server
/-- The minimal structure needed to represent "string wit... |
65820a2a4fbdba7c7e1a8b5bf91220be668c9be6 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Elab/DoNotation.lean | 4f6095889a6b255ac4127b3ea5607439ded3e16b | [
"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 | 8,918 | 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
-/
prelude
import Init.Lean.Elab.Term
import Init.Lean.Elab.Binders
import Init.Lean.Elab.Quotation
namespace Lean
namespace Elab
namespace Term
structure Ex... |
257c1b0d2c569d97c0fd27cbd7c79231d95c38ef | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/action.lean | 1b12ce516042b5b809a889af8804333bb0a93f9d | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 3,267 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import category_theory.groupoid
import category_theory.endomorphism
import category_theory.elements
import group_theory.group_action
import category_theory.single_obj
/-!
#... |
36cdad255dbc677168aee6b896965dacbf5eca46 | 022547453607c6244552158ff25ab3bf17361760 | /src/ring_theory/ideal/operations.lean | 96d00790d52fc540892e50133f4a1c56f0bd4223 | [
"Apache-2.0"
] | permissive | 1293045656/mathlib | 5f81741a7c1ff1873440ec680b3680bfb6b7b048 | 4709e61525a60189733e72a50e564c58d534bed8 | refs/heads/master | 1,687,010,200,553 | 1,626,245,646,000 | 1,626,245,646,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 67,360 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.operations
import algebra.algebra.tower
import data.equiv.ring
import data.nat.choose.sum
import ring_theory.ideal.basic
import ring_theory.non_zero_divi... |
472c567ea8d7e28ad2e1192e54ed2d51c1df8954 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/logic/function/basic.lean | cb6c49ba8245be15dfcb4480fdc827970747f4fa | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 12,344 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import logic.basic
import data.option.defs
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespace function
section
var... |
c4b75a2e682463db400db36bc7e1f63ddabc1b46 | f3a5af2927397cf346ec0e24312bfff077f00425 | /experiments/UFD_experiments.lean | ccb69f569d1c51a687f65b83094a41eee5faf025 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 730 | lean | -- WIP
-- this might be awful to do without int.
import solutions.world3_le
import data.nat.basic
#print prefix nat
namespace mynat
def divides (a b : mynat) := ∃ c, a * c = b
instance : has_dvd mynat := ⟨mynat.divides⟩
def is_prime (n : mynat) : Prop := n ≠ 1 ∧ ∀ d, d ∣ n → d = 1 ∨ d = n
theorem has_prime_factor... |
9551952ec51adc4d9667acd76faa8f1f353c24b8 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/reflect_isomorphisms.lean | 24c588af4467ca7b37c9fd3a53b45b766e73551d | [
"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 | 2,658 | 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.preserves
open category_theory category_theory.limits
namespace category_theory
universes v₁ v₂ u₁ u₂
variables {C : Type u₁} [category.... |
3e689a6da0c28db0206f68c140b07aeeab86cd5e | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /tests/bench/binarytrees.lean | 5e5e4e6d4096dd2deee080cc3acd080ef6f3881f | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,709 | lean | #lang lean4
inductive Tree
| Nil
| Node (l r : Tree) : Tree
open Tree
instance : Inhabited Tree := ⟨Nil⟩
-- This Function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' : UInt32 -> UInt32 -> Tree
| n, d =>
if d = 0 then Node Nil Nil
else Node (make' n (d -... |
538cb6a9b5c9d2fbeb4d3a1a6aa9273fde7457f3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/category/CommRing/colimits.lean | 686f037027f53caeada74a71a0aa4ae81ad34f70 | [
"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 | 12,907 | 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.CommRing.basic
import category_theory.limits.limits
import category_theory.limits.concrete_category
/-!
# The category of commutative rings h... |
8fd33bf0d246b71571b93fb4a576437033a3104d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/match_convoy.lean | 661d109e343c326e2d7252b5d706b383472d1ba4 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,699 | lean | definition foo (a b : bool) : bool :=
match a, b with
| tt, ff := tt
| tt, tt := tt
| ff, tt := tt
| ff, ff := ff
end
example : foo tt tt = tt := rfl
example : foo tt ff = tt := rfl
example : foo ff tt = tt := rfl
example : foo ff ff = ff := rfl
inductive vec (A : Type) : nat → Type
| nil {} : vec nat.zero
| cons :... |
3d694a301b144a54ba8a1a0a715639cbb1cc7c58 | 367134ba5a65885e863bdc4507601606690974c1 | /src/measure_theory/ae_eq_fun.lean | cfb6b9e09869ddf8d5ae30c61a268a11b2df9c31 | [
"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 | 18,485 | lean | /-
Copyright (c) 2019 Johannes Hölzl, Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Zhouhang Zhou
-/
import measure_theory.integration
import order.filter.germ
/-!
# Almost everywhere equal functions
Two measurable functions are treat... |
af35c0fc072ab123e08d63ff7ae02f0b3e2af3ce | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/special_functions/exp_log.lean | f2681bcec96ecea6269b1ff0469fa7b0647e3684 | [
"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 | 23,281 | 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
-/
import data.complex.exponential
import analysis.complex.basic
import analysis.calculus.mean_value
import measure_theory.bo... |
7383a0330ebe29a0c62d6b553b9ac135fac54edd | 122543640bfbfedbcee1318bfdbd466ead2716a7 | /src/p3.lean | ee54b73dcd07e6b39310c6c0c76ad4b8e4bdb8e6 | [] | no_license | jsm28/bmo2-2020-lean | f038489093312c97b9cae3cdb9410b2683ccb11f | ff87ce51ed080d462e63c5549d5f2b377ad83204 | refs/heads/master | 1,692,783,059,184 | 1,689,807,657,000 | 1,689,807,657,000 | 239,362,030 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 112,814 | lean | -- BMO2 2020 problem 3.
import data.fintype.basic
import data.nat.parity
import logic.function.basic
import tactic.interval_cases
import tactic.linarith
import tactic.ring_exp
noncomputable theory
open_locale classical
open finset
-- The grid.
abbreviation grid (n : ℕ) := fin n × fin n
-- A colouring of the grid (... |
8de7a3b4c44d4aed48f66e814922ba7ab71d389a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/continuous_function/ordered.lean | a1dda9e2021ef6e7c2e9301d4137d411bfa67f8a | [
"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 | 4,673 | lean | /-
Copyright © 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Shing Tak Lam
-/
import topology.algebra.ordered.proj_Icc
import topology.continuous_function.basic
/-!
# Bundled continuous maps into orders, with order-compatible top... |
4f9c0fc767f8d9a232774f39ac8bdba17d93877e | df561f413cfe0a88b1056655515399c546ff32a5 | /8-inequality-world/l12.lean | bf3564c659c92382955a00f635e869ab7f820146 | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 280 | lean | theorem le_of_succ_le_succ (a b : mynat) : succ a ≤ succ b → a ≤ b :=
begin
intro h,
repeat { rw succ_eq_add_one at h },
cases h with c hc,
rw add_assoc a 1 c at hc,
rw add_comm 1 c at hc,
rw ← add_assoc a c 1 at hc,
rw add_right_cancel_iff at hc,
rw hc,
use c,
refl,
end |
f204d3cdb2a20af346202de36dded39569d9993a | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/tactic/interval_cases.lean | 85349e969e3379b1d599edde3a2e767cca8959d2 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,951 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: 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 <... |
b3501339428e59f9cc0ccb06fe7639c3286618e5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/valuation/basic.lean | 929c71e77aa42a5d84c6265191c0386154d8a8d7 | [] | 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 | 19,015 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.linear_ordered_comm_group_with_zero
import Mathlib.a... |
d9fe26f182215ba9bc35a8d27377d4469d229581 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/algebra/archimedean.lean | ec056444c297f779141f644156fd33be7e031bdd | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 13,671 | 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.group_power data.rat tactic.linarith tactic.abel
local infix ` • ` := add_monoid.smul
variables {α : Type*}
class fl... |
75c003f27b113bc2eb282d2e822b4c1894ff119c | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed/group/seminorm.lean | abf47e5688a0501213f2551e371de1475324cad1 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 20,163 | lean | /-
Copyright (c) 2022 María Inés de Frutos-Fernández, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández, Yaël Dillies
-/
import algebra.order.hom.basic
import data.real.nnreal
/-!
# Group seminorms
This file defines norms and... |
5cee6fe782b1e470fa6080f0c532032f6f70717d | f1a12d4db0f46eee317d703e3336d33950a2fe7e | /common/auxiliary.lean | 735c8e4fa1b4bf5b7a04b690d1141a205c769ded | [
"Apache-2.0"
] | permissive | avigad/qelim | bce89b79c717b7649860d41a41a37e37c982624f | b7d22864f1f0a2d21adad0f4fb3fc7ba665f8e60 | refs/heads/master | 1,584,548,938,232 | 1,526,773,708,000 | 1,526,773,708,000 | 134,967,693 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,087 | lean | variables {α β γ : Type}
lemma le_iff_le (x1 x2 y1 y2 : int) :
x1 = x2 → y1 = y2 →
(x1 ≤ y1 ↔ x2 ≤ y2) :=
begin
intros h1 h2, rewrite h1, rewrite h2
end
lemma or_of_not_imp_right {p q} : (¬ q → p) → p ∨ q :=
begin
intro h, cases (classical.em q) with hq hq,
apply or.inr hq, apply or.inl (h hq)
end
lemma... |
9017a8df721ac923e32806b4301b050752449a80 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /hott/types/trunc.hlean | 818473643cad10667d248943cdef2eb132c8b02a | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 10,135 | hlean | /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Properties of is_trunc and trunctype
-/
-- NOTE: the fact that (is_trunc n A) is a mere proposition is proved in .hprop_trunc
import types.pi types.eq types.equiv... |
de1b9624a1e9d5a209b4e072a693e905f6545fb1 | 26b8b0964ca8e1c2e203585ba5940f83fe05e48a | /src/tidy/repeat_at_least_once.lean | 9225a68cfe675427913d23f58315e3405a5df50b | [] | no_license | jcommelin/lean-tidy | ef3cd32a3804221d93f0dff9e180bb2c52f4b143 | 9cecf497e90db64b5ea140ad6ae1603976dcd402 | refs/heads/master | 1,585,129,919,276 | 1,533,512,680,000 | 1,533,512,680,000 | 143,677,361 | 0 | 0 | null | 1,616,803,481,000 | 1,533,530,576,000 | Lean | UTF-8 | Lean | false | false | 791 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
namespace tactic
variable {α : Type}
private meta def repeat_with_results_aux (t : tactic α) : list α → tactic (list α)
| L := do r ← try_core t,
matc... |
4678408101528c6dc8a6d38e79e981915fc59644 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/calculus/specific_functions.lean | d02ba83483161cc35f840c13b27e257ecda281a9 | [
"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 | 23,017 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import analysis.calculus.iterated_deriv
import analysis.inner_product_space.euclidean_dist
import measure_theory.function.locally_integrable
i... |
1facbdd1ceede17f22061d9fec1dc631e32ad306 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/fin.lean | 36a14fff59abc275e3483372508567aa537bb05c | [
"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 | 845 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.nat
open nat
structure fin (n : nat) := (val : nat) (is_lt : val < n)
namespace fin
variable {n : nat}
lemma eq_of_veq : ∀ {i j : fin ... |
6f91f92bb27df39406851c7475bb9a61f00ea650 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/countable.lean | dda63c4686dfdbe3a47c031ddb37494064ea5ff0 | [
"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 | 323 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.countable
Author: Leonardo de Moura
Define countable types
-/
import algebra.function
open function
definition countable (A : Type) : Prop := ∃ f : A → nat, injective f
|
9085a4ed12bb1b2a7c78ea016203264a0ef6c669 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/meta/tactic/monotonicity/default.lean | 2bb8e4697d39a719b3b3f3004939143e444b493e | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 75 | lean |
import util.meta.tactic.monotonicity.predicate
import tactic.monotonicity
|
a50ef7221a9678cae726ca8c09e0648167bc4282 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/preserves/shapes/terminal.lean | 15214fa3dda50bcad05d9c936a405b7bacf6d218 | [
"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 | 8,223 | 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.preserves.basic
/-!
# Preserving terminal object
Constructions to relate the notions of pres... |
5bd40080302f8c57bfc3b4b2bd14ce9641685b0d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/graded_algebra/basic.lean | 86eebeb51333aee4754411c74af9ffb4af20b863 | [
"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 | 12,126 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Kevin Buzzard, Jujian Zhang
-/
import algebra.direct_sum.algebra
import algebra.direct_sum.decomposition
import algebra.direct_sum.internal
import algebra.direct_sum.ring
/-... |
6635f625614b191fee29c0a174a242115da17c25 | 0ec6b5eb2131429a4464b8e6c6f09897abba3de1 | /src/abelianization.lean | 0c336355631e67a6689661dfd7ccc0d6c2722692 | [] | no_license | kckennylau/local-langlands-abelian | ba1b86e9d956778cd28ac900ffec02b0f0ba172a | ee22666898357dab800a0432214a22c519ed26a9 | refs/heads/master | 1,584,671,060,846 | 1,545,151,246,000 | 1,545,151,246,000 | 137,111,892 | 8 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,106 | lean | -- Hausdorff abelianization, i.e.
-- quotient by the closure of the commutator
import group_theory.abelianization
import .topological_group
universes u v
theorem list.prod_map {G : Type u} {H : Type v} [group G] [group H]
(f : G → H) [is_group_hom f] {L : list G} :
(L.map f).prod = f L.prod :=
list.re... |
6a38fb53aea7151c76a9e3e8c23418271c535b88 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/theories/combinatorics/choose.lean | 2815ec80a6a1138fe2e6153e2ebd7c0bd3f03f9f | [
"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 | 8,543 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Binomial coefficients, "n choose k".
-/
import data.nat.div data.nat.fact data.finset
open decidable
open algebra
namespace nat
/- choose -/
definition choose : ℕ → ℕ →... |
bbad085a0191b0563b0317c522c2397410f69c35 | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/rules/transitiveInferenceConstantEquiPredicate.lean | f3c22dff39369cdad3ad645efd6565ed4dee6c32 | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,898 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
variable integer_1: const datatypes.int
theorem rule:
forall ( Γ scm_t scm_account scm_bonus scm_dept sc... |
aa4167027685546d585a85a0d25dedc2c2f01964 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/group_power.lean | 7f60e507f9b8d683aaa441bc576e1550064e9f70 | [
"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 | 29,714 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import data.int.basic
import data.equiv.basic
import deprecated.ring
/-!
# Power operations on monoids and groups
The power operation on monoids and ... |
8c2793ccee9316d6406eca91f58bcff487f417a7 | bb31430994044506fa42fd667e2d556327e18dfe | /src/linear_algebra/matrix/adjugate.lean | 9652c44789d95d0af5758af2a0c6359ad4ebc50d | [
"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 | 19,068 | lean | /-
Copyright (c) 2019 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.regular.basic
import linear_algebra.matrix.mv_polynomial
import linear_algebra.matrix.polynomial
import ring_theory.polynomial.basic
/-!
# Cramer's rule and... |
0ae0e62523d6571257c5f838212bd02a57293d24 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/568.lean | 326c186e6f91e09e77994f4922c631eea79f1c32 | [
"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 | 227 | lean | namespace f1
definition flip := (20:num)
end f1
namespace f2
definition flip := (10:num)
end f2
namespace f3
export [declaration] f1
export - [declaration] f2
end f3
export [declaration] f1
export - [declaration] f2
|
2c4cb613e870eb77158ab4c23f8cabb200e6af92 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/default_param2.lean | c5bb9b416bbea31a2e633f452af8ec080f2fbe8b | [
"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 | 1,063 | lean | universe variable u
def f (a : nat) (o : nat := 5) :=
a + o
example : f 1 = f 1 5 :=
rfl
#check f 1
structure config :=
(v1 := 10)
(v2 := 20)
(flag := tt)
(ps := ["hello", "world"])
def g (a : nat) (c : config := {}) : nat :=
if c^.flag then a + c^.v1 else a + c^.v2
example : g 1 = 11 :=
rfl
example : g 1 ... |
1e86b85c4b57e153c2257b13c038a92a831674a7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/special_functions/gamma.lean | da22edf4b5bb95abc1a5ea1596d9bb884040ec43 | [
"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 | 23,737 | lean | /-
Copyright (c) 2022 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import measure_theory.integral.exp_decay
import analysis.calculus.parametric_integral
/-!
# The Gamma function
This file defines the `Γ` function (of a real or comp... |
5acd7af9aec76473f461f81f709b4ae851047cd5 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/calculus/times_cont_diff.lean | 81f84c1acc17032df47b5e52be61bb632fd2ee76 | [
"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 | 143,898 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
import analysis.normed_space.multilinear
import analysis.calculus.formal_multilinear_series
/-!
# Higher differentiability
... |
22cf59eb9575bd53a912988206b5cadafc755a11 | a45212b1526d532e6e83c44ddca6a05795113ddc | /test/fin_cases.lean | dbf68f28fd3cd30c2665334cd706b20944ce1578 | [
"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 | 1,846 | lean | import tactic.fin_cases
import data.nat.prime
import group_theory.perm.sign
import tactic.norm_num
example (f : ℕ → Prop) (p : fin 3) (h0 : f 0) (h1 : f 1) (h2 : f 2) : f p.val :=
begin
fin_cases *,
simp, assumption,
simp, assumption,
simp, assumption,
end
example (x2 : fin 2) (x3 : fin 3) (n : nat) (y : fin ... |
22ee0f309ab1db48942c128d1a9e3a6163a74762 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/doc_string1.lean | 51f6a4edb9c8a495ebc7aa5362e70ed925fc9d53 | [
"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 | 705 | lean | /--
Documentation for x
```
#reduce x + x
```
Testing...
-/
def x := 10 + 20
def y := "alo"
open tactic
run_cmd do
d ← doc_string `x,
trace d
run_cmd add_doc_string `y "testing simple doc"
run_cmd do
d ← doc_string `y,
trace d
namespace foo
namespace bla
/--
Documentation for single
testi... |
a610482a4ac702d5f3fb1053b47e6eee2479a9aa | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/padics/padic_numbers.lean | aa473f0cbc2ae045a3546e85ea5312d9f3d7660c | [
"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 | 37,645 | 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
-/
import data.padics.padic_norm
import analysis.normed_space.basic
/-!
# p-adic numbers
This file defines the p-adic numbers (rationals) `ℚ_p` as the completion of... |
3f4f94df742bef40ba282e16cca79ca81eb900d3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/polynomial/degree/lemmas.lean | a5e766e58544f5535f931ea27902c511f04518b8 | [
"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 | 8,718 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
import tactic.interval_cases
/-!
# Theory of degrees of polynomials
Some of the main results... |
18da71e4c6a9488c6a6793e4f5de50e1602441b6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/init.lean | e83f7f519a7adee88270334057ddea95af43ea93 | [
"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 | 551 | lean |
namespace Foo
initialize ref : IO.Ref Nat ← IO.mkRef 10
initialize vals : IO.Ref (Array String) ← IO.mkRef #[]
def registerVal (s : String) : IO Unit := do
if (← vals.get).contains s then
throw $ IO.userError "value already registered"
vals.modify (·.push s)
initialize
IO.println "started the program"
ref.m... |
e19deb6358056799bdcb700cbab3107ca44ea5d9 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/monoidal/free/coherence.lean | f2fdac8bbe094ffa1bdb4ca4e95979d0e9428af1 | [
"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 | 12,095 | lean | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.monoidal.free.basic
import category_theory.groupoid
import category_theory.discrete_category
/-!
# The monoidal coherence theorem
In this file,... |
525ec18dc3f9dc376fb2b63287385c757f009241 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/examples/Certora2022/ex12.lean | 0dd359f0db407aaf07ed4fb7aee09ad918920f59 | [
"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 | 649 | lean | /- Type classes -/
namespace Example
class ToString (α : Type u) where
toString : α → String
#check @ToString.toString
-- {α : Type u_1} → [self : ToString α] → α → String
instance : ToString String where
toString s := s
instance : ToString Bool where
toString b := if b then "true" else "false"
#eval ToStrin... |
6b30039b55f7e4612993933f1569d84322d63188 | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/Elab/PreDefinition/WF/TerminationHint.lean | 10cc9714d605a2758efccc3fb21fab13aa56dbfe | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,138 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Command
namespace Lean.Elab.WF
structure TerminationHintValue where
ref : Syntax
value : Syntax
deriving Inhabited
inductive T... |
e2d24f802395255fe58e149b3601eb86ae4e4d8f | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/continued_fractions/computation/approximation_corollaries.lean | c7beb82197e1db5ed8726befab1d8847b802e662 | [
"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 | 6,548 | lean | /-
Copyright (c) 2021 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.approximations
import algebra.continued_fractions.convergents_equiv
import topology.algebra.ordered.basic
/-!
# Cor... |
4736da0ce003912e058b93e20ce3e04e34b2a3e3 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/uniform_space/completion.lean | bf9a949adf6bb6072687fee14a859f834048851d | [
"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 | 26,722 | 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
Hausdorff completions of uniform spaces.
The goal is to construct a left-adjoint to the inclusion of complete Hausdorff uniform spaces
into all uniform... |
4a1fa206cc3d1892a0554003024b5bc94947a59e | df561f413cfe0a88b1056655515399c546ff32a5 | /6-advanced-addition-world/l7.lean | 2a3d5f1adf95ac629cc1dfb9f50b5d52162bc0ba | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 252 | lean | theorem add_right_cancel_iff (t a b : mynat) : a + t = b + t ↔ a = b :=
begin
split,
exact add_right_cancel a t b,
induction t with k Pk,
rw add_zero,
rw add_zero,
intro x, exact x,
intro f,
rw add_succ, rw add_succ,
have g := Pk(f),
rw g,
refl,
end |
77aa1a0211fd5408ad59301b0c2586a366687960 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/anneaux/cpge_anneaux_1.lean | e474e296da4adf9f39de7ec68f3ba9bec606ede0 | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 230 | lean |
import algebra.ring.basic
theorem cpge_anneaux_1 {A :Type*} [ring A] :
(∀ a : A, a ≠ 0 → (∀ b : A, b ≠ 0 → a*b ≠ 0)) <->
∀ a : A, (a ≠ 0 → ∀ x y : A, (a*x = a*y -> x =y) ∧ (x*a = y*a → x=y)):= sorry
|
c9ff81f8ec22e9d030eb25cbc602cbf08e6e3c54 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/algebra/group_bigops.lean | 21f6c41bf90b81b7dbf3b358e04266e1010561f9 | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 12,799 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
Finite products on a monoid, and finite sums on an additive monoid. There are three versions:
Prodl, Suml : products and sums over lists
Prod, Sum... |
a0f5493b65e4d91d4ae0c364b7ef88e8317574ce | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/auto_quote_error2.lean | 47f28326544bfd861ff0cb07cf8bab06c210a8bb | [
"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 | 1,047 | lean | example (a b c : nat) : a = b → b = c → c = a :=
begin
tactic.intros,
apply eq.symm,
apply eq.refl, -- Error: unification
assumption,
assumption
end
example (a b c : nat) : a = b → b = c → c = a :=
begin
tactic.intros,
apply eq.symm,
begin
tactic.trace "hello world",
end, -- Error unsolved goals
... |
2b8620bfca13ea086c1f9a76d9538a714370b8e3 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/logic/basic.lean | d245f0b6eca1337c28e7604bec430cdcb2c15263 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 52,994 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Im... |
ec3acc33f7500eb6a55bf3814d2506453dba164a | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_1201.lean | 98b32daae2c13b9973ad644a02c3809dd384dd93 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 538 | lean | variables p q s r : Prop
theorem and_of_and : p ∧ q → q ∧ p :=
begin
intro h, -- Assume `h : p ∧ q`. It suffices to prove `q ∧ p`.
split, -- By `∧` intro., it suffices to prove both `q` and `p`.
{ show q, from h.right, }, -- We show `q` from right `∧` elimination on `h`.
{ ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.