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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2a0e50cb8a7c63544ed289dd0f9ddaeef51101cd | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/precissues.lean | e77c393dfb26c3b29c31023a5700f8163a127e2f | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 693 | lean |
#check id fun x => x -- should work
#check 0
def f (x : Nat) (g : Nat → Nat) := g x
#check f 1 fun x => x -- should fail
#check 0
#check f 1 (fun x => x)
#check id have True from ⟨⟩; this -- should fail
#check id let x := 10; x
#check 1
#check id (have True from ⟨⟩; this)
#check 0 = have Nat from 1; this
#c... |
b6ad3c672d15276afa808bc7afc7e432b2b4a854 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/punit.lean | 6521533720afd23d3ace6c8a7ef558a4e5c056c7 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 1,764 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.const
import category_theory.discrete_category
import category_theory.equivalence
universes v u -- declare the `v`'s first; see ... |
b79ac19fc8a960fcd8ae0090e180f5b2c0482de6 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/algebra/algebra/subalgebra.lean | 7398aa02f5deefd3f4eddcd5fdf6805bd9b90e6a | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,822 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.algebra.operations
/-!
# Subalgebras over Commutative Semiring
In this file we define `subalgebra`s and the usual operations on them (`map`, `... |
0e5f53f02b9aa5b47018a36ba919c96f306032e6 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /src/Lean/Meta/Tactic/Cases.lean | e1a4dd173f38ef0ab7a3cee8c693bf03bb1f96f7 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,939 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Induction
import Lean.Meta.Tactic.Injection
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Subst... |
c87ba253088baa9534fdb00687000336ba73bee8 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab8.lean | 8e4cfd3921c6680408e58fcc9fe7e53a45e3a9cd | [
"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 | 376 | lean | set_option pp.notation false
set_option pp.implicit true
set_option pp.numerals false
set_option pp.binder_types true
check λ (A : Type*) [has_add A] [has_one A] [has_lt A] (a : A), a + 1
check λ (A : Type*) [has_add A] [has_one A] [has_lt A] (a : A) (H : a > 1), a + 1
check λ (A : Type*) [has_add A] [has_one A] [ha... |
af0dfd9181bee0b9f41e3fca6e2a13aee0e8a6a1 | ddf69e0b8ad10bfd251aa1fb492bd92f064768ec | /src/data/nat/prime.lean | 7dc97ff05fcf0f04dca597aead85ad68eae6d0cb | [
"Apache-2.0"
] | permissive | MaboroshiChan/mathlib | db1c1982df384a2604b19a5e1f5c6464c7c76de1 | 7f74e6b35f6bac86b9218250e83441ac3e17264c | refs/heads/master | 1,671,993,587,476 | 1,601,911,102,000 | 1,601,911,102,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,033 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.nat.sqrt
import data.nat.gcd
import algebra.group_power
import tactic.wlog
/-!
# Prime numbers
This file deals... |
91513c5eca418492a0d2c7a79480a63e09c56a76 | 0d107d7abd6ae235d586830f8e09b1b30e7eef0b | /src/real_fibonacci/Preloaded.lean | c90bd3a55c5a0488541a86a4b51c9e5897c76169 | [] | no_license | ukikagi/codewars-lean | 6b9a83ebbb159e7eebf8551b745a1c4d450e747f | 1912f2a4e25e917abfce70d65c0469cfac19dc93 | refs/heads/master | 1,672,948,190,244 | 1,603,361,004,000 | 1,603,795,841,000 | 303,746,208 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 259 | lean | import data.real.basic data.nat.fib
noncomputable theory
def phi : ℝ := ((1 + real.sqrt 5) / 2)
def psi : ℝ := ((1 - real.sqrt 5) / 2)
def SUBMISSION := ∀ n : ℕ, (nat.fib n : ℝ) = (phi^n - psi^n) / real.sqrt 5
notation `SUBMISSION` := SUBMISSION |
da11439eabece3fe5bc93d9bd0b17d45bbbd1fd9 | 29cc89d6158dd3b90acbdbcab4d2c7eb9a7dbf0f | /Exercises week 3/13_exercise_sheet.lean | 2a2996c4a80eed2aeae1144b4128ffdee5303fde | [] | no_license | KjellZijlemaker/Logical_Verification_VU | ced0ba95316a30e3c94ba8eebd58ea004fa6f53b | 4578b93bf1615466996157bb333c84122b201d99 | refs/heads/master | 1,585,966,086,108 | 1,549,187,704,000 | 1,549,187,704,000 | 155,690,284 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,615 | lean | /- Exercise 1.3: Basics — More Logic and Proofs -/
/- Question 1: Logical symbols -/
/- For all of the following exercises, it can help to unfold the definition of `not`. This can be
achieved using the tactic `dunfold not`. -/
/- 1.1. Prove the following propositions, using whichever style you prefer. -/
example (p... |
963a8ae6fc945ee5af68efc4cd18e0a4ee70a194 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/group/prod.lean | 9e84e468f01ffbe8302c870fdca123f6e6e54b1e | [
"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 | 15,723 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.constructions.prod
import measure_theory.group.measure
/-!
# Measure theory in the product of groups
In this file we show properties about ... |
8c2e3497c498f8f12c89ac506d3e96d1c7ae223f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/localized/import2.lean | 84bd8c5ee1097123dfa887c4c26a553944b7fe9b | [
"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 | 89 | lean | import tactic.localized
open tactic nat
localized "infix ` ⊹ `:59 := nat.add" in nat
|
437255d3126d87c4a1ea7be5d0b2871d39d3572b | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/category_theory/abelian/exact.lean | 8bef5d96bd8f823fece77381b7ba3b174aeb3f46 | [
"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 | 2,417 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.abelian.basic
import algebra.homology.exact
/-!
# Exact sequences in abelian categories
We prove that in an abelian category, `(f, g)` is exact... |
6da464eda34039fc8a6822389685f6a6ba8380cb | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0703.lean | f8c996482b21fd6ebde56fdef70fc2d27008a504 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 138 | lean | variables (x y z : ℕ) (p : ℕ → Prop)
example (h : p ((x + 0) * (0 + y * 1 + z * 0))) : p (x * y) :=
by { simp at h, assumption }
|
bb3a5ec2bae5befba4ec410882fa71f01789f206 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Elab/BuiltinTerm.lean | 2fe0bd26642d31d21d9a515db8b9cf7a1cc475b1 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 8,534 | 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.Elab.Term
namespace Lean.Elab.Term
open Meta
@[builtinTermElab «prop»] def elabProp : TermElab := fun _ _ =>
return mkSort levelZero
privat... |
559ab40d0ee8ca0a3d65d788221d3de867e7223e | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Compiler.lean | b4e6d4fada6cf37b0c0e34689b39beb96dd94528 | [
"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 | 481 | 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.Compiler.InlineAttrs
import Init.Lean.Compiler.Specialize
import Init.Lean.Compiler.ConstFolding
import Init.Lean.Compiler.ClosedTe... |
9a8037988901f7a1e0bff6c637c67f12e5b1a7e1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/euclidean/basic.lean | 10f68e4478f9e6c6287c4b8cccb03953217af41e | [
"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 | 56,066 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Manuel Candales
-/
import analysis.inner_product_space.projection
import analysis.special_functions.trigonometric.inverse
import algebra.quadratic_discriminant
import linea... |
2a5d987e717399c654e5cf4ee362cf635419e845 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/defaulValueParamIssue.lean | 2df174e0ebac2386309d6a3747d03aa97ff77912 | [
"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 | 125 | lean | structure Something (i: Nat) where
n1: Nat := 1
n2: Nat := 1 + i
def s : Something 10 := {}
example : s.n2 = 11 := rfl
|
e2785864d229fc4fc9219660cbc922ab9a8f87a4 | d534932ed7c1eba03b537c377a4f8961acd41e99 | /examples/gethostname/Main.lean | a25ba1033c465cecb72889c0699a6545835b5e64 | [
"Apache-2.0"
] | permissive | Adminixtrator/lean4-socket | d7e321d547df6545d0c085d310be8f2c41c44ddb | b313041f2e75f4ad8320ab66d7e2afafd2202318 | refs/heads/main | 1,692,582,696,753 | 1,633,439,398,000 | 1,633,439,523,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 222 | lean | /-
Copyright (c) 2021 Xubai Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xubai Wang
-/
import Socket
def main : IO Unit := do
IO.println (← hostName)
|
4b5d279f01fdb5cbc799ed3e4aa22f8abb697938 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/uniform_space/separation.lean | a95b4d7e36ee0b97255ea2135846e4d524b12b50 | [
"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 | 13,806 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
Hausdorff properties of uniform spaces. Separation quotient.
-/
import topology.uniform_space.basic
open filter topological_space set classical
open_lo... |
9269400724f1480553061289cea87fcea0f2b18c | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/norm.lean | d8637f103a93899b5614fe5073258b268b2f0677 | [
"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 | 15,148 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.primitive_element
import linear_algebra.determinant
import linear_algebra.finite_dimensional
import linear_algebra.matrix.charpoly.minpoly
import linea... |
f46fc07deaa3dc932fcc4e7b2129913f36a42dad | 359199d7253811b032ab92108191da7336eba86e | /src/instructor/lectures/lecture_9.lean | 6d75a1cf814c5454bfcd66ae9b2f5eda25ef4025 | [] | no_license | arte-et-marte/my_cs2120f21 | 0bc6215cb5018a3b7c90d9d399a173233f587064 | 91609c3609ad81fda895bee8b97cc76813241e17 | refs/heads/main | 1,693,298,928,348 | 1,634,931,202,000 | 1,634,931,202,000 | 399,946,705 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,068 | lean | /-
Negation
-/
/-
Given an proposition, P, we can form a new
proposition, usually written as ¬P, which we
pronounce as "not P," and which we define in
such as way as to assert that P is not true.
-/
/-
So what does it mean when we say that *it is
true that P is not true*? Or, equivalently, "it
is true that P is fals... |
a5cbbe4cf904052357ef9e9a51247459bf2388e7 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /Zmod1.lean | a227e106f4982bb4062c4a486096173f27802738 | [] | 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 | 18,280 | lean | import .lagrange_four_square tactic.ring data.set.finite .int_gcd data.int.modeq data.int.basic data.nat.modeq data.equiv data.fintype data.nat.prime data.nat.gcd tactic.norm_num group_theory.order_of_element
universe u
local attribute [instance, priority 0] classical.prop_decidable
open int int.modeq
@[reducible]
def... |
3d39b913cf0278354a8ae77a74f11feb6161f7af | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/finsupp/to_dfinsupp.lean | ac7b565f720279840f760b553982437d75593902 | [
"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 | 11,430 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.dfinsupp.basic
import data.equiv.module
import data.finsupp.basic
/-!
# Conversion between `finsupp` and homogenous `dfinsupp`
This module provides conversion... |
80469d96dc87ff477e7a0c3c8a9ad3c89b9accd4 | 0003047346476c031128723dfd16fe273c6bc605 | /src/data/fintype.lean | bc90809acef6e3d318b8d395f248a5734c15bc03 | [
"Apache-2.0"
] | permissive | ChandanKSingh/mathlib | d2bf4724ccc670bf24915c12c475748281d3fb73 | d60d1616958787ccb9842dc943534f90ea0bab64 | refs/heads/master | 1,588,238,823,679 | 1,552,867,469,000 | 1,552,867,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,945 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas data.vector2 data.equiv.encodable
universes u v
variables {α : Type*} {β : Type*} {γ : Type*... |
33d4512b27da812a6462a79822e85501cd147fd4 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /data/zmod.lean | c77bbb2eaa7c1fc542915c020bd93cd834a953dc | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 9,569 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.int.modeq data.int.gcd data.fintype data.pnat
open nat nat.modeq int
def zmod (n : ℕ+) := fin n
namespace zmod
instance (n : ℕ+) : has_neg (zmod n) :=
⟨λ a... |
3b6e917f6dfa288f5ff3868308854e558a3f6b18 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/witt_vector/defs.lean | 13381a39a2181a65fc6cb525027a45c46de6af8f | [
"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 | 11,675 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import ring_theory.witt_vector.structure_polynomial
/-!
# Witt vectors
In this file we define the type of `p`-typical Witt vectors and ring operat... |
ecae2eacdc5b56aef1040c196d2c8f739cc7b87f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/LBool.lean | 978a0606f887ec1bc9721be0944ec0efb857c317 | [
"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 | 812 | 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
-/
namespace Lean
inductive LBool where
| false
| true
| undef
deriving Inhabited, BEq
namespace LBool
def neg : LBool → LBool
| true => false
... |
444572888c2eda02bfda3a8a1cb3add3fd7182d4 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/linear_algebra/lagrange.lean | 59dde6975a1d0a8dad3dcb55dd8bf450212ce0dd | [
"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 | 6,970 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau.
-/
import ring_theory.polynomial algebra.big_operators
/-!
# Lagrange interpolation
## Main definitions
* `lagrange.basis s x` where `s : finset F` and `x : F`: the Lagrange b... |
89803bd904c2d4dede297d309dfeb80172227a86 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/Meta/DiscrTree.lean | d17d5dff16eea50fdc044b01ef40df5830660b77 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,210 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.FunInfo
import Lean.Meta.InferType
import Lean.Meta.WHNF
namespace Lean.Meta.DiscrTree
/-
(Imperfect) discriminat... |
ffd89fd137d2b0522318672cc10525795ea64aae | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/group_action/group.lean | 0f58233e8946330dcbcb0a41e50744a5f1d189cc | [] | 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 | 5,102 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.group_theory.group_action.defs
import Mathlib.algebra.group.units
import Mathlib.algebra.group_... |
d1e17176883f6c6f2905e7bc657d0467e3c73d88 | ae2b6c12c0588329ee57823e19c1f62094f1f735 | /primes_infinite.lean | 1b84de6f6eafea8cfeb747605cf723225ad8636d | [] | no_license | LeonardoRiojaMachineVentures/LeanProof | a9aff198061d165cf9ed20920308ee062f464206 | 963c650b5ceb17124f2ea91bb0d9a47af4e187d7 | refs/heads/main | 1,689,375,079,683 | 1,629,854,076,000 | 1,629,854,076,000 | 399,635,851 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,119 | lean | import data.nat.prime
-- import the theorems you want to use
import tactic.linarith
-- import the previous line to use tactics you want
open nat
-- use natural numbers
theorem infinitude_of_primes : ∀ N, ∃ p ≥ N, prime p :=
--for any natural number n you pick, there exists a natural number p, which is prime
begin
... |
8f59be161b2954853cbe822bac5647ad1c267c14 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Util.lean | 7b8b84db3342fb1b08bf011f9b8ecfd7967e9e5d | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 679 | 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.CollectFVars
import Lean.Util.CollectLevelParams
import Lean.Util.CollectMVars
import Lean.Util.FindMVar
import Lean.Util.MonadCache
import... |
d98dbcc304cfbd79ab4af20566ad789ae4488533 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/check_constants.lean | 10eec90e045e0988d0541eda384947fc65ef6744 | [
"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 | 14,353 | lean | -- DO NOT EDIT, automatically generated file, generator scripts/gen_constants_cpp.py
import smt system.io
open tactic
meta def script_check_id (n : name) : tactic unit :=
do env ← get_env, (env^.get n >> return ()) <|> (guard $ env^.is_namespace n) <|> (attribute.get_instances n >> return ()) <|> fail ("identifier '" +... |
de1517cda5557faacf00a2cfd8d309806fa336cd | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/analysis/complex/exponential.lean | 947f37097cf18f5f5692afd7b37397746f34c4a4 | [
"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 | 60,483 | 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 topology.instances.complex tactic.linarith data.complex.exponential
group_theory.quotient_group topology.metr... |
cb863da58ef4d4e9411f765f26116b6a8d8afe15 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/submonoid/pointwise.lean | 4da829732cdca8e17790626bc39a5b1dec784f63 | [
"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 | 18,206 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.set.pointwise
import group_theory.submonoid.membership
/-! # Pointwise instances on `submonoid`s and `add_submonoid`s
This file provides:
* `submonoid.has_in... |
bd7fc7f158ed5c9d2a9ced6a29c268b40484315b | 5719a16e23dfc08cdea7a5bf035b81690f307965 | /src/Init/Lean/Parser/Level.lean | 1831a1d2cab0d83438c608d7f5f8056a7eb8830a | [
"Apache-2.0"
] | permissive | postmasters/lean4 | 488b03969a371e1507e1e8a4df9ebf63c7cbe7ac | f3976fc53a883ac7606fc59357d43f4b51016ca7 | refs/heads/master | 1,655,582,707,480 | 1,588,682,595,000 | 1,588,682,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,009 | 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
-/
prelude
import Init.Lean.Parser.Parser
namespace Lean
namespace Parser
@[init] def regBuiltinLevelParserAttr : IO Unit :=
registerBuilt... |
65dc138418ef50825163630b44f747bf65d52b14 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Cases.lean | 66c9aa4898cfddbb13b21940ca9661875875f750 | [
"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 | 16,985 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Induction
import Lean.Meta.Tactic.Injection
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Subst... |
ba767dbc51311b58e7182646e2d74114d4ebe648 | 4727251e0cd73359b15b664c3170e5d754078599 | /test/monotonicity.lean | afde3d080330efb916ccdcb9b59b78892a964a05 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 8,631 | 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
import measure_theory.measure.lebesgue
import measure_theory.function.locally_integrable
import ... |
ced45ee7f9bb57e4f63d5857b0ca330516f6599b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/nat_antidiagonal_auto.lean | 746537ebc64abeb64cb44a5e4a670369bbd2e42c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,484 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.nodup
import Mathlib.data.list.nat_antidiagonal
import Mathlib.PostPort
name... |
a056f0d9916eb5a42ed4da6e483e9064d10e50d8 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/compiler_bug3.lean | 705193fd640c1597cdf319e8a94ee53709fc2afe | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 276 | lean | inductive tree (A : Type*)
| leaf : A -> tree
| node : list tree -> tree
def foo {A : Type*} : nat → tree A → nat
| 0 _ := 0
| (n+1) (tree.leaf a) := 0
| (n+1) (tree.node []) := foo n (tree.node [])
| (n+1) (tree.node (x::xs)) := foo n x
|
be0fd57c32f582667c4a1e3e20549f3155cab1c4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/no_confusion_type.lean | 8ebeae044dd1302b4acfeef0bbad07470c8c37e0 | [
"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 | 323 | lean | --
open nat
inductive vector (A : Type) : nat → Type
| vnil : vector nat.zero
| vcons : Π {n : nat}, A → vector n → vector (succ n)
check vector.no_confusion_type
constants a1 a2 : num
constants v1 v2 : vector num 2
constant P : Type
eval vector.no_confusion_type P (vector.vcons a1 v1) (vector.vcons a2 v2)
|
3a7481bba049e718d812a39187db2cdc7959f848 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/full.lean | 508e778d32ec753c6257047a5686efb2d6006929 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 130 | lean | import standard
namespace foo
variable x : num.num
check x
using num
check x
set_option pp.full_names true
check x
end |
15c08bb4ec1ed4b8a66190cbb6a695201e60c347 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/set/basic.lean | 7f0a951a4860b3ebb0cd043812af5cacad2667fe | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,824 | 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
-/
import tactic.finish
namespace set
universes u v w x
variables {α : Type u} {β : Type v} {γ : Type w} {ι : Sort x}
instance : inhabited (set α) := ⟨... |
013408cb41fd79d407845410d36f12d43f706cda | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/set_family/compression/uv.lean | cdd5f6220c2e13367f8d0a8f46d4acdfc84932dc | [
"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 | 8,900 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import data.finset.card
/-!
# UV-compressions
This file defines UV-compression. It is an operation on a set family that reduces its shadow.
UV-compressin... |
21e824344dc410335d5fabc2b63afe199e5f6c7c | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Elab/Definition.lean | 0f8e4b4be7d4a8637bb261a0cc26ecf61f0ff3aa | [
"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 | 6,441 | 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, Sebastian Ullrich
-/
prelude
import Init.Lean.Util.CollectLevelParams
import Init.Lean.Util.CollectFVars
import Init.Lean.Elab.DeclModifiers
import Init.Lean.... |
3d16a8c624e1a39f07bd622fb6bcd3ed1f5d480c | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/order/filter/at_top_bot.lean | 07b0a568b49dc56c9b0d8e77bec364844fcc206f | [
"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 | 22,786 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import order.filter.basic
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids and groups.
In this file we ... |
9bb72a832284948f08e823330ecd045cfc5fc778 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/ring_theory/ideal_operations.lean | 8eeddb3e3546a73a5ad81db0bd3d8d3dcdc7b2d4 | [
"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 | 34,419 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import data.nat.choose
import data.equiv.ring
import ring_theory.algebra_operations
universes u v w x
open_locale big_operators
names... |
95dfc29590014b9c84aec317f6dd1e51e9f85fad | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/simple_module.lean | 80a8850036a721f0a832588d4a9daf5dbfa808f3 | [
"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 | 5,320 | 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 linear_algebra.basic
import order.atoms
/-!
# Simple Modules
## Main Definitions
* `is_simple_module` indicates that a module has no proper submodules
... |
7664ffed5c92bbe6d5867df356988630b7e81175 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/cone_category.lean | f6ff043646828633dd22d8458e5e73d4b89b9e6f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,296 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.limits.preserves.shapes.terminal
/-!
# Limits and the category of (co)cones
This files contains results that stem from the limit API. For the def... |
718a1c54ee343faa1d6306d3fd154e2d5b8f8a89 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/valuation/basic.lean | bade5ec815bf0e462fa5c247680e8c5b226da22a | [
"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 | 30,073 | 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 algebra.order.with_zero
import algebra.punit_instances
import ring_theory.ideal.operations
/-!
# The basics of valuation theo... |
94dfe965aae6514fd76126b67bc8b427c05277a9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/398c.lean | f58eb7034957afab3b7fc2e41ecae7e31957ae74 | [
"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 | 222 | lean | class ring (α) extends has_one α
variables (α : Type) [ring α]
set_option trace.class_instances true
-- this should only synthesize `has_one α` once,
-- the second time it should already be cached
#check (1 : α) = 1 |
10bf19fe51d0f69bbaacfd9b308ea7c2a53d7a07 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/set/countable.lean | acd27ccc4872c3df495339846b47bbc96a16723f | [
"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 | 8,497 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import data.equiv.list
import data.set.finite
/-!
# Countable sets
-/
noncomputable theory
open function set encodable
open classical (hiding some)
open_locale clas... |
d557ff50dd36ac7d132624431b58406d83afa415 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/grade.lean | 9d693b59419ca1e0c554838ef9d75889269004eb | [
"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 | 12,695 | lean | /-
Copyright (c) 2022 Yaël Dillies, Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Violeta Hernández Palacios, Grayson Burton, Vladimir Ivanov
-/
import data.finset.basic
import data.int.succ_pred
/-!
# Graded orders
This fil... |
98e7fec515291525089ac91128e97c388776050d | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/basic.lean | eee4ee74ec96601d235b84b3f382825b408d7b99 | [
"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 | 106,452 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov, Frédéric Dupuis,
Heather Macbeth
-/
import algebra.big_operators.pi
import algebra.module.hom
import algebra.module.pr... |
3463d5969aee21bab9574d7536804f32455201b3 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/char_poly/coeff.lean | 19f1a854cb67563251295673d3b5d78b001c4ecc | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 9,301 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson, Jalex Stark.
-/
import data.matrix.char_p
import linear_algebra.char_poly
import linear_algebra.matrix
import ring_theory.polynomial.basic
import algebra.p... |
edc86362f6174ee6ce51104773663622bec67b53 | fe84e287c662151bb313504482b218a503b972f3 | /src/combinatorics/binomial_sum.lean | 28535086675bf21e446f17baaab3b640bd17119e | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,025 | 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 data.nat.choose
import algebra.prod_equiv
import tactic.squeeze
/-
Consider the identity
(choose n k) = (choose k-1 k-1) + (choose k k-1) + ... + (choo... |
6b5dde0126a5ea4362151c91d4d59349569e587d | 5c5878e769950eabe897ad08485b3ba1a619cea9 | /src/categories/universal/default.lean | 1fddbecab70bad2260af77bf8de6a3d085179a09 | [
"Apache-2.0"
] | permissive | semorrison/lean-category-theory-pr | 39dc2077fcb41b438e61be1685e4cbca298767ed | 7adc8d91835e883db0fe75aa33661bc1480dbe55 | refs/heads/master | 1,583,748,682,010 | 1,535,111,040,000 | 1,535,111,040,000 | 128,731,071 | 1 | 2 | Apache-2.0 | 1,528,069,880,000 | 1,523,258,452,000 | Lean | UTF-8 | Lean | false | false | 6,328 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .cones
open category_theory
open category_theory.initial
namespace category_theory.universal
/-
We give "explicit" definitions of (co)eq... |
b3f3c126d8cbbe5c4a9fa7949d6eb753587332f8 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/bench/parser.lean | 5d5a5561e200c025f25048521b072f0628f7dbde | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 226 | lean | import Init.Lean.Parser
def main : List String → IO Unit
| [fname, n] => do
env ← Lean.mkEmptyEnvironment;
n.toNat.forM $ fun _ =>
Lean.Parser.parseFile env fname *> pure ();
pure ()
| _ => throw "give file"
|
da2cb6ba5e9bac31a27a4bcde99041241da988fb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/catalan.lean | 484d6028787cf8284ea3a5161d62b20048924cdd | [
"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 | 7,897 | lean | /-
Copyright (c) 2022 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.big_operators.fin
import algebra.big_operators.nat_antidiagonal
import algebra.char_zero.lemmas
import data.finset.nat_antidiagonal
import data... |
cceb3679db402d288f6c1f1f72c4c69a0f3962b5 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/analysis/normed_space/inner_product.lean | 4b932a7bf89197a0b0bca1a068ed9e52a42c53c4 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 80,373 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-/
import linear_algebra.bilinear_form
import linear_algebra.sesquilinear_form
import analysis.special_functions.pow
import topology.m... |
1646b9ad0db6ce3c4e1a41affcb7cc59f249b667 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/445.lean | a5c19831aa4630d40d60b163d0a1098ba2e75043 | [
"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 | 1,605 | lean | import Lean
def f : Nat → Bool
| 0 => true
| n + 1 => (match n with
| 0 => true
| _ + 1 => true) && f n
def g (i j : Nat) : Nat :=
if i < 5 then 0 else
match j with
| Nat.zero => 1
| Nat.succ j => g i j
def h (i j : Nat) : Nat :=
i +
match j with
| Nat.zero => 1
| Nat.succ j => h i ... |
9bd06ca860ef125bdc074086d7233e243581076d | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/unused_univ.lean | 0077e4f3d9a7d92e22102a6bb638189031a49244 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 284 | lean | new_frontend
variable (y : Nat)
def f.{u} (x : Nat) : Nat := -- error unused universe parameter 'u'
x
universes u
def f.{v, w} (α : Type v) (a : α) : α := -- error unused universe parameter 'w'
a
axiom f.{w} (α : Type u) (a : α) : α -- error unused universe parameter 'w'
|
9120ce126046d387fafed7eeaea0ae9bd4a186be | 1cc8cf59a317bf12d71a5a8ed03bfc1948c66f10 | /src/problem_sheets/sheet_1/sht01Q02.lean | 6f73523fa67b54a19cc9e3936aa01f45b7acecaf | [
"Apache-2.0"
] | permissive | kckennylau/M1P1-lean | 1e4fabf513539669f86a439af6844aa078c239ad | c92e524f3e4e7aec5dc09e05fb8923cc9720dd34 | refs/heads/master | 1,587,503,976,663 | 1,549,715,955,000 | 1,549,715,955,000 | 169,875,735 | 1 | 0 | Apache-2.0 | 1,549,722,917,000 | 1,549,722,917,000 | null | UTF-8 | Lean | false | false | 3,240 | lean | import data.real.basic tactic.linarith
open real
-- a non-empty bounded-above set S has a max iff sup(S) is in S
theorem Q2d (S : set ℝ) (h1 : ∃ s, s ∈ S) (h2 : ∃ B, ∀ s ∈ S, s ≤ B) :
(∃ m ∈ S, ∀ s ∈ S, s ≤ m) ↔ real.Sup S ∈ S :=
begin
let t := Sup S,
-- let's get the key fact about t before we start, namely that... |
b888540ba691ab6a3b15ae9ee97b6385191fcdc4 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/topology/metric_space/emetric_space.lean | 69783bcdc017b853e0b12e105dd1504fe216d1da | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 38,801 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.real.nnreal data.real.ennreal
import topology.uniform_space.separation topology.u... |
e5838da929848607c0068eec699e6385a0cdfee9 | f5373ccdc976e6390397d9f4220a74c76f706f4a | /src/lean_gym/api.lean | e15eed2300f893d2b308c8d0755d03a7042e3c5b | [] | no_license | jasonrute/lean_gym_prototype | fcd91fdc454f9e351bbe258c765f50276407547e | ab29624d14e4e069e15afe0b1d90248b5b394b86 | refs/heads/master | 1,682,628,526,780 | 1,590,539,315,000 | 1,590,539,315,000 | 264,938,525 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 916 | lean | /- Tactic grammer -/
meta inductive lean_tactic
| skip
| apply (sexp : string)
| cases (sexp : string)
| intro
| split
| left
| right
| exfalso
/- Manually change the state -/
meta inductive lean_state_control
/- -/
| jump_to_state (state_index : nat)
| change_top_goal (sexp : string)
| change_top_goal_pp (sexp : str... |
5114a8cc55a88cffa8b153fa2f551701d2af7141 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/model_theory/graph.lean | e5d2763808457af7507874ec63395cf1752cf9e2 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,700 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.satisfiability
import combinatorics.simple_graph.basic
/-!
# First-Ordered Structures in Graph Theory
This file defines first-order languages, st... |
84e590421b12c52330c7f979c7d8f8326ac8dba9 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/manyAritySyntax.lean | d5aa87be436fe8b5ac9cd1ac441ce4d1fd3ad800 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 142 | lean | syntax "enum" ident " where " ("|" ident)* : command
macro_rules
| `(enum $id where $[| $ids ]*) =>`(inductive $id where $[| $ids:ident ]*)
|
ee3d60becc56d4e45ece35f9ceba4a4c0253779a | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/verification/verification/signature_recover_public_key_ec_add_soundness.lean | 6129eded22cc763323977a1738d9553d1604b626 | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 22,202 | lean | /-
File: signature_recover_public_key_ec_add_soundness.lean
Autogenerated file.
-/
import starkware.cairo.lean.semantics.soundness.hoare
import .signature_recover_public_key_code
import ..signature_recover_public_key_spec
import .signature_recover_public_key_fast_ec_add_soundness
import .signature_recover_public_key_i... |
ab24ff32b3bf58908dde9563f17d00f72821bd4c | 03bd658c402412f41d3026d1040ee8ca8c0fc579 | /src/list/lemmas/simple.lean | ef6d3b8c3e4f039c05d54f4ec80a97187105e500 | [] | no_license | ImperialCollegeLondon/dots_and_boxes | c205f6dbad8af9625f56715e4d1bed96b0ac1022 | f7bd0b1603674a657170c5395adb717c4f670220 | refs/heads/master | 1,663,752,058,476 | 1,591,438,614,000 | 1,591,438,614,000 | 139,707,103 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,270 | lean | import data.list.basic tactic.linarith
import tactic.omega tactic.apply
open list
/- cons -/
/-- (a::L) is the same as [a] ++ L-/
lemma cons_eq_sing_append {α : Type*} {L : list α } (a : α ):
(a::L) = [a] ++ L := by refl -- true by definition of append
/- bind -/
/--list.bind of two lists is the second appended ... |
d842461340b039507fa1fcd2e63db6e1ef142afd | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/normed_space/finite_dimension.lean | b1e67947d86662a60e8ea9f9e33c40b8164934fd | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 12,345 | 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.normed_space.operator_norm
import linear_algebra.finite_dimensional
import tactic.omega
/-!
# Finite dimensional normed spaces over complete fi... |
414a1e2848518cfa4913993342b7f468364eaab1 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/tacUnsolvedGoalsErrors.lean | ffc8605f23176dd075d1de54eb8f400b319d1891 | [
"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 | 682 | lean | theorem ex1 (p q r : Prop) (h1 : p ∨ q) (h2 : p → q) : q :=
have : q := by -- Error here
skip
by skip -- Error here
skip
theorem ex2 (p q r : Prop) (h1 : p ∨ q) (h2 : p → q) : q :=
have : q := by {
skip
} -- Error here
by skip -- Error here
skip
theorem ex3 (p q r : Prop) (h1 : p ∨ q) (h2 ... |
e7dfc1bce57231b653cdd3b1b6e9f7082e8096d7 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/lean/compiler/namemangling.lean | 28909d5ce7001b7cec06f219717093969a538d97 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 1,470 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.lean.name
namespace Lean
private def String.mangleAux : Nat → String.Iterator → String → String
| 0 it r := r
| (i+1) it r :=
let ... |
21a5d23d7cff7b703d52a30f51e18898f695462d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/sigma/basic.lean | 812241abafcb01ceefd85af69266ffcd37e844cd | [
"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 | 10,190 | 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 meta.univs
import tactic.lint
import tactic.ext
import logic.function.basic
/-!
# Sigma types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com... |
a01f3cf4221427097c646f7d5a759d8be6bc2c82 | 8f67b34bba98f894155dedf263bc8d61c31e89cd | /2ltt/finite.lean | 22bc8078fb9f5f629e772a5e294414cfb797bd1d | [] | 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 | 8,327 | lean | import .fibrant data.fin data.equiv .facts algebra.category .facts
open nat equiv fin eq.ops sum unit prod.ops function
-- facts about a type family indexed by the strict finite type
definition pi_fin0_unit_equiv {X : fin 0 → Type} : (Π i, X i) ≃ unit :=
equiv.mk (λ x, unit.star) (λ x i, fin.elim0 i)
begin unfol... |
4f3914dc63195c7337c51d437a3369cde70b1734 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/missing_mathlib/linear_algebra/finite_dimensional.lean | 6a96c98937cab0ca77de513b5844d613585affb8 | [] | no_license | skbaek/cvx | e32822ad5943541539966a37dee162b0a5495f55 | c50c790c9116f9fac8dfe742903a62bdd7292c15 | refs/heads/master | 1,623,803,010,339 | 1,618,058,958,000 | 1,618,058,958,000 | 176,293,135 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 2,304 | lean | import linear_algebra.finite_dimensional
import missing_mathlib.linear_algebra.dimension
universes u v v' w
open_locale classical
open vector_space cardinal submodule module function
variables {K : Type u} {V : Type v} [field K] [add_comm_group V] [vector_space K V]
{V₂ : Type v'} [add_comm_group V₂] [vector_space K... |
95653b52f4398fbde691a6279be64ea355c181b1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/quot_ind_bug.lean | 1869602494bfb79aba775975e2d2676cc1ca8b7b | [
"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 | 197 | lean | open quot
variables {A : Type} [s : setoid A] {B : quot s → Prop} (c : ∀ (a : A), B (quot.mk a)) (a : A)
check (quot.ind c ⟦a⟧ : B ⟦a⟧)
check c a
eval (quot.ind c ⟦a⟧ : B ⟦a⟧)
|
9d22692c140d8752ad9ee671fe4edd76617ee51a | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/order_zmodn_kmb.lean | f6d5f9cc5a59cdf381b16d015e0bb945b2b168f1 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,250 | lean | import algebra.group
import chris_hughes_various.zmod
import group_theory.order_of_element
open zmod nat
-- I spell this one out so you can see how it goes.
lemma gcd_one_of_unit {n : ℕ} [pos_nat n] (u : units (zmod n)) :
nat.gcd (u.val.val) n = 1 :=
begin
let abar := u.val, let bbar := u.inv, -- in zmod n
let a... |
ada8786e4d655efc5921ff19f17faf70e0f341be | e0d5cc416b0cf9011f9706e3b89ad18e34595c44 | /src/cayden/ident.lean | 2e9057906774d51b40321d1357be794b1f48f857 | [] | no_license | avigad/verified-encodings | c90701b68636c0bae2127b9eb7bcc53e71d06bc8 | 2b8c3b07a7cfcdad3b13cf01685eabe395f35c17 | refs/heads/master | 1,687,237,025,852 | 1,626,625,618,000 | 1,626,625,618,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,393 | lean | /-
Proving some useful identities in propositional logic
-/
import data.bool
import data.list
import data.list.basic
-- Define shorthand for XOR
notation a ⊕ b := bxor a b
-- Some trivial, useful theorems
@[simp] theorem bxor_tt_left : ∀ a, bxor tt a = bnot a := dec_trivial
@[simp] theorem bxor_tt_right : ∀ a, bx... |
c9576e8dc78d1780b40c82be10dda4339fc04639 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fin/tuple/monotone.lean | e67d043a65cb36418289755b0edb3443703fe14b | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,998 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import data.fin.vec_notation
/-!
# Monotone finite sequences
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
d05503a28766b9626e710c5d5ea614f23ef55529 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/noTabs.lean | 9475259ebaff4b1dc9e0dee1ef7e235805d9495b | [
"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 | 40 | lean | #check
let a := 1
let b := 2
a + b
|
f8d7bcb8fb3e79f84566970e027421d453e6f2a6 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/integral/tempLevel1.lean | 76e2a4ae01f0759ab9754f7f5a5e727d5f069dcf | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 622 | lean | import data.real.basic
import data.vector
open real
variable X : Type -- hide
/-
# Work in progress.
-/
-- begin hide
--#check finset
--#check finset.card_range
--#check list
--Do we want a list? A vector?
--either way, not sure how to go about this yet
--def partition (a b : ℝ) (A: set.Icc a b) (n : ℕ) := list ... |
05979e75f7e9532f83687f2c732229f2e27ed963 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/uniform_space/basic.lean | 05c0af5dc0695859030377932fc060bd770350b2 | [
"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 | 67,366 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.lift
import topology.separation
/-!
# Uniform spaces
Uniform spaces are a generalization of metric spaces and top... |
287ced854080ec845b1759a2512f106e04c677ad | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/introduction/unnamed_104.lean | f661efb8ecd2b4ec4b22edd3a99e54ab96575fe0 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 48 | lean | #check 2 + 2
def f (x : ℕ) := x + 3
#check f |
5c8b0726f3d22a57b0d2ff09ccd3b1879862ff05 | 7490bf5d40d31857a58062614642bb5a41c36154 | /exam_1.lean | 1be8dc0cccc5a3a375106e765a0630488ab8acdf | [] | no_license | reesegrayallen/Lean-Discrete-Mathematics | 9f1d6fe1c814cc9264ce868a67adcf5a82566e22 | 00c875284613ea12e0a729f519738aab8599456b | refs/heads/main | 1,674,181,372,629 | 1,606,801,004,000 | 1,606,801,004,000 | 317,387,970 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,810 | lean | /-
REESE ALLEN
(rga2uz)
CS 2102 Spring 2020, Sullivan, Exam #1
READ THIS:Put away all electronics except for
your laptops. Included in the list are watched
and headphones. Do not access *any* electronics
at all except for your laptop. Close all browser
windows and *all* other applications except for
VS Code and an... |
ae691ff75e59e39f9e87db924f3e449122760cc0 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/class7.lean | 1538f0de81720ffe4249992ae1082dfd4a07aecc | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 536 | lean | import standard
using num tactic
inductive inh (A : Type) : Type :=
| inh_intro : A -> inh A
instance inh_intro
theorem inh_bool [instance] : inh Prop
:= inh_intro true
theorem inh_fun [instance] {A B : Type} (H : inh B) : inh (A → B)
:= inh_rec (λ b, inh_intro (λ a : A, b)) H
definition assump := eassumption; now... |
de825be2c4521899e688d2765dab41bf81d2595a | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/analysis/calculus/fderiv.lean | a7967bf6dde6112ba5eae8fe42e4312418bc8d6a | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 54,266 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel
The Fréchet derivative.
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[𝕜] F` a
continuous 𝕜-linear map, where `𝕜` is a non-discrete ... |
274b23f5b0ea60f076ef723f1a9ce9173ec9d32d | e38d5e91d30731bef617cc9b6de7f79c34cdce9a | /src/core/interval.lean | d7fc7a7501851b092c6b0ffca0fdb4d4b7ab7332 | [
"Apache-2.0"
] | permissive | bbentzen/cubicalean | 55e979c303fbf55a81ac46b1000c944b2498be7a | 3b94cd2aefdfc2163c263bd3fc6f2086fef814b5 | refs/heads/master | 1,588,314,875,258 | 1,554,412,699,000 | 1,554,412,699,000 | 177,333,390 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 351 | lean | /-
Copyright (c) 2019 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Author: Bruno Bentzen
-/
-- the interval type I cannot live in Type
inductive interval : Type 0
| i0 : interval
| dim : ℕ → interval
| i1 : interval
notation `I` := interval
-- TODO: con... |
3ae4d4e4aff4068b3a28ed6cd29ff21cde496b17 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/pack_unpack2.lean | 8c34e49fb1c12926d58b943b7f00f4ad97c4bdc8 | [
"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 | 965 | lean | --set_option trace.inductive_compiler.nested.define true
inductive tree (A : Type*)
| leaf : A -> tree
| node : list tree -> tree
set_option trace.eqn_compiler true
definition sz {A : Type*} : tree A → nat
| (tree.leaf a) := 1
| (tree.node l) := list.length l + 1
constant P {A : Type*} : tree A → Type 1
constant mk1 ... |
852adb92461289c10bda80c7525d6fdac1660a42 | 7565ffb53cc64430691ce89265da0f944ee43051 | /hott/homotopy/hopf.hlean | bfd8894c246e74922495889b8ede807c3934192e | [
"Apache-2.0"
] | permissive | EgbertRijke/lean2 | cacddba3d150f8b38688e044960a208bf851f90e | 519dcee739fbca5a4ab77d66db7652097b4604cd | refs/heads/master | 1,606,936,954,854 | 1,498,836,083,000 | 1,498,910,882,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,073 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz and Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Egbert Rijke
H-spaces and the Hopf construction
-/
import types.equiv .wedge .join
open eq eq.ops equiv is_equiv is_conn is_trunc trunc susp join
... |
d1e9882b511edb18b35e88c80f08dc04e35c0948 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /stage0/src/Lean/Server/InfoUtils.lean | 65253271bb3208a514ad5d8ebabed8e3ade3fd94 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,800 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.DocString
import Lean.Elab.InfoTree
import Lean.Util.Sorry
namespace Lean.Elab
/--
For every branch, find the deepest node in that branch match... |
caba9713cd7987a7b5a8b7ed26af9c02d70ac27d | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/measure_theory/interval_integral.lean | cb4327c53b440d44780b981b73d087bc641ebc5c | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85,793 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import measure_theory.set_integral
import measure_theory.lebesgue_measure
import analysis.calculus.fderiv_measurable
import analysis.calculus.extend_deriv
/-... |
f909a45947c97402e62a59ef77555ff4f028d208 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/task_auto.lean | 63d637042dfaeecb1bd228297b41ab59ff1cdbc3 | [] | 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 | 196 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.logic
namespace Mathlib
/-- A task is a promise to produce a value later. They perform the same role as promises in JavaScript. -/
end Mathlib |
023fe4a6f26192f64c1dc4e6e37d75fb8b7bd225 | 24cea0681d40a3d3a2fd112c35ce26dfe9e2dd1c | /src/relax/test.lean | 84c98e69b6ed982340c3c5ddb0c1561881b13150 | [
"Apache-2.0"
] | permissive | jtristan/FormalML | 4119809fd728bd0e6ffe2e4961e1a2dfdc1b7864 | b9f54593c7f2badde15953de876ee214e23b34a0 | refs/heads/master | 1,668,672,921,807 | 1,594,691,391,000 | 1,594,691,391,000 | 279,452,890 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,198 | lean | /-
Copyright © 2020, Oracle and/or its affiliates. All rights reserved.
-/
import .relax
local attribute [instance] classical.prop_decidable
namespace relax
variables (μ: probability_measure ℍ)
noncomputable
def coin_flip_code_simple (u: ℍ × ℍ × ℍ): ℍ × ℕ × ℕ :=
let u1 := u.fst in
let u2 := u.snd.fst in
... |
61c34ffcf69561e9ba66662ad47cacf293b547ac | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/finsupp/basic.lean | 7aa1f66d009eb33f295906c5f9ca9836a240509f | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 82,873 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import algebra.group.pi
import algebra.big_operators.order
import algebra.module.basic
import algebra.module.pi
import group_theory.submonoid.basic
im... |
ed8f0097343fc110001ad131af1c6e88fe002535 | f1a12d4db0f46eee317d703e3336d33950a2fe7e | /lia/cooper/qe.lean | fe040bb13220e4a5734994fbb0f30c050ee251ec | [
"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 | 4,150 | lean | import ..common.correctness ...common.int
namespace lia
def hd_coeff_one : int → atom → atom
| m (atom.le i (k::ks)) :=
if k = 0
then (atom.le i (0::ks))
else let m' := has_div.div m (abs k) in
atom.le (m' * i) (int.sign k :: list.map (λ x, m' * x) ks)
| m (atom.dvd d i (k::ks)) :=
if k = 0
th... |
0264e9ad4e589182a040fbcd5710820c0320a3d3 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/ordered_ring.lean | b63234c8ab8f7381a52f6c98eecdd124d768d834 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 65,471 | 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, Mario Carneiro
-/
import algebra.ordered_group
import algebra.invertible
import data.set.intervals.basic
-- This should probably go into Lean core.
le... |
bc5a27f8fee688f58b08d0034504a89648bfc05d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/algebra3.lean | 9be885a4920d93d167f88a636b5b29722557f8a2 | [
"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 | 1,560 | lean | import logic
infixl `*` := has_mul.mul
postfix `⁻¹` := has_inv.inv
notation 1 := has_one.one
structure semigroup [class] (A : Type) extends has_mul A :=
(assoc : ∀ a b c, mul (mul a b) c = mul a (mul b c))
structure comm_semigroup [class] (A : Type) extends semigroup A renaming mul→add:=
(comm : ∀a b, add a b = ... |
7db9a62b84a66759995c58239c9c373ac4fca462 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/over_auto.lean | 085ebcc07372d13cd86b9dde1aec18329780b12c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,005 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.comma
import Mathlib.category_theory.punit
import Mathlib.cat... |
5374c62339df6c1746b097aceec3d3f6f7eb1d9f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/combinatorics/derangements/basic.lean | 56bb0c3c8f1207207996054493a5bc2b4ab39c06 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,381 | lean | /-
Copyright (c) 2021 Henry Swanson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henry Swanson
-/
import data.equiv.basic
import data.equiv.option
import dynamics.fixed_points.basic
import group_theory.perm.option
/-!
# Derangements on types
In this file we define... |
66c031d574a0e6e636bb6c0add28fd7df570a9d4 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/group/to_additive.lean | 5a56573d22e673c8a25b605faf4311e4dad16cf7 | [
"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 | 9,720 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov.
-/
import tactic.basic tactic.transport tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_additive` that ... |
c9bfaf28d5132870293741ad1f2703a0407ab4da | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/matrix/notation_auto.lean | da26577bf38d170f4aa9f74b7fb11a9397f93891 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,175 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
Notation for vectors and matrices
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.card
import Mathlib.data.matrix.basic
import Math... |
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