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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
69a730ee928acf4b8d84be1597ce7a060589000a | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/metric/edit_distance_cm.lean | 474ba4648cd2d1036c31313271790717291a2c13 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,200 | lean | import tidy.rewrite_search.core
import tidy.rewrite_search.metric.edit_distance
open tidy.rewrite_search
open tidy.rewrite_search.edit_distance
open tidy.rewrite_search.metric.edit_distance
namespace tidy.rewrite_search.metric.edit_distance.weight.cm
def cm_of_side (l : list token) (s : side) : list ℚ :=
let (tot,... |
3b727a810c20344329b98976778df6a4734e05d5 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/abelian/pseudoelements.lean | 712e547675efd9128f602e462307549594fa67d0 | [
"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 | 18,930 | 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.exact
import category_theory.over
/-!
# Pseudoelements in abelian categories
A *pseudoelement* of an object `X` in an abelian category ... |
c9c29d2f3b4a447ce1d18076238420ded98c9a86 | 35b83be3126daae10419b573c55e1fed009d3ae8 | /_target/deps/mathlib/data/equiv/basic.lean | 94fa124f0e8c8cad8561e6c0aa31e02a9084fc3b | [] | no_license | AHassan1024/Lean_Playground | ccb25b72029d199c0d23d002db2d32a9f2689ebc | a00b004c3a2eb9e3e863c361aa2b115260472414 | refs/heads/master | 1,586,221,905,125 | 1,544,951,310,000 | 1,544,951,310,000 | 157,934,290 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,902 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
389700f3db175039e0d9593f330e0d4cbc5fc592 | 48f4f349e1bb919d14ab7e5921d0cfe825f4c423 | /fabstract/Green_B_and_Tao_T_ArithmeticProgressionsInPrimes/fabstract.lean | 1836410cb80268e3a706df6f86a0212cc1ccde9d | [] | no_license | thalesant/formalabstracts-2017 | fdf4ff90d30ab1dcb6d4cf16a068a997ea5ecc80 | c47181342c9e41954aa8d41f5049965b5f332bca | refs/heads/master | 1,584,610,453,925 | 1,528,277,508,000 | 1,528,277,508,000 | 136,299,625 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 999 | lean | import meta_data
namespace Green_B_and_Tao_T_ArithmeticProgressionsInPrimes
def prime (n : nat) : Prop := n > 1 ∧ (∀ m < n, (m = 0) ∨ (m = 1) ∨ (n % m ≠ 0))
-- A statement of Green & Tao's theorem about arithmetic progressions in primes
axiom arithmetic_progressions_in_primes :
∀ n k : nat, ∃ m ≥ n, ∃ r ≥ 1, ∀ i < k... |
01a3bad9ee481ae237a1ba1f284da7020b7f75b5 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/linear_algebra/affine_space/independent.lean | f452da9d6a21217467a76fb2b732d86d40e1d013 | [
"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 | 21,893 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import data.finset.sort
import data.matrix.notation
import linear_algebra.affine_space.combination
import linear_algebra.basis
noncomputable theory
open_locale big_opera... |
918d50b3b7cf61a8f3a23352c893e59dd23f22da | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/hash.lean | e5b5a3762bfdb2b245104d1c64495394cf96fc2f | [
"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 | 570 | lean | import init.data.hashmap.basic
def mkMap (s : String) : Nat → HashMap String Nat → HashMap String Nat
| 0 m := m
| (n+1) m := mkMap n (m.insert (s ++ toString n) n)
def checkMap (s : String) (m : HashMap String Nat) : Nat → IO Unit
| 0 := pure ()
| (n+1) := do
let key := s ++ toString n,
unless (m.contain... |
2dfbefa4f6ba5c1ecea890275677b60d9f56bb2c | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/t1.lean | 9d2f3d6748f2cede51bef924c1183feb4b5f0d62 | [
"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 | 317 | lean | definition Prop : Type.{1} := Type.{0}
print raw ((Prop))
print raw Prop
print raw fun (x y : Prop), x x
print raw fun (x y : Prop) {z : Prop}, x y
print raw λ [x y : Prop] {z : Prop}, x z
print raw Pi (x y : Prop) {z : Prop}, x
print raw ∀ (x y : Prop) {z : Prop}, x
print raw forall {x y : Prop} w {z : Prop}, x
|
1ecfb56d1c842eaa55d6e4e28c5a8ed894e227c6 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Control/EState.lean | 63a54be6ef214b3f01d691587a817c52607f22da | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,607 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.State
import Init.Control.Except
universes u v
namespace EStateM
inductive Result (ε σ α : Type u)
| ok : α → σ → Result
| ... |
c3a65a85b16dd7bd80fb9068a4643344320a06e6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/SpecInfo.lean | d0553efe669e591de7dafcb2a6a0e035b2e4a1d2 | [
"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 | 8,611 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.Specialize
import Lean.Compiler.LCNF.FixedParams
import Lean.Compiler.LCNF.InferType
namespace Lean.Compiler.LCNF
/--
Each parameter ... |
23ffbd35580295578a0e0ed19291badd6d903533 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/complex/cauchy_integral.lean | d285e42c300b93223136435d20f727e71bf19d04 | [
"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 | 37,811 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import measure_theory.measure.complex_lebesgue
import measure_theory.integral.divergence_theorem
import measure_theory.integral.circle_integral
import analysis.calc... |
fe7938bdb3e6d9fa1526a0347fa41c539c59b9e5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/mathport_issue16.lean | b332353c513749e58196016431db22e39e1ecabf | [
"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 | 116 | lean | class Foo (α : Type) where x : α
instance : CoeSort (Foo α) Type where
coe _ := α
#check @id (Foo.mk ()) ()
|
70718577b1b22bebf6d7d7c4c6d3d772b9d2e795 | 359199d7253811b032ab92108191da7336eba86e | /src/instructor/lectures/lecture_2.lean | b4b5ef0b503a01070fab73dc688e0ecfaa65e3af | [] | 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 | 5,798 | lean | /-
In this file, we give formal statements (our version)
of the two axioms of equality. We also present Lean's
versions of these rules, and show how you can use them
without giving all of the arguments explicitly.
-/
/-
INFERENCE RULE #1/2: EQUALITY IS REFLEXIVE
Everything is equal to itself. A bit more formally,
if ... |
8e2f00b3fcb28137e04899cd58ebc104357ce41f | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/auto_quote1.lean | a3b712bc2d6e6aed2ce3cbda496c8bc23096934e | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,938 | lean | example (a b c : nat) : a = b → b = c → c = a :=
begin
intros,
apply eq.symm,
apply eq.trans,
assumption,
assumption
end
example (a b c : nat) : a = b → b = c → c = a :=
begin
intro h1,
intro h2,
refine eq.symm (eq.trans h1 _),
exact h2
end
example (a b c : nat) : a = b → b = c → c = a :=
begin
in... |
6e6f4ff004b40dc89e6ec19c4f8d25c4bf90c0c1 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/algebra/group_set_bigops.lean | cc5da4260c3814197391dec74c608c344d4edea5 | [
"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 | 3,945 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Set-based version of group_bigops.
-/
import .group_bigops data.set.finite
open set classical
namespace algebra
namespace set
variables {A B : Type}
/- Prod: product in... |
c1e2519dd98e4cf2b03673e3558ed67ffee67934 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/localization/predicate.lean | 3e6a05039647cd3c1b99c683be68070f71d2e811 | [
"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 | 15,675 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.localization.construction
/-!
# Predicate for localized categories
In this file, a predicate `L.is_localization W` is introduced for a functor `L : C... |
74025bb1a25f9ac59e7dd81c3153ef3576c517bc | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/floatarray.lean | a6e04e82e45345b0a0d1287c409a7b71ca90e508 | [
"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 | 258 | lean | def tst : IO Unit :=
do
let bs := [(1 : Float), 2, 3].toFloatArray;
IO.println bs;
let bs := bs.push (4 : Float);
let bs := bs.set! 1 (20 / 3);
IO.println bs;
let bs₁ := bs.set! 2 30;
IO.println bs₁;
IO.println bs;
IO.println bs.size;
pure ()
#eval tst
|
b2242e6ee1bd19a92644bdf7e02c0c49ab0dfa6c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/limits.lean | 6268fba92246ee841e0ee8b7e3da9125cec9c82a | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,503 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.pullbacks
import algebraic_geometry.AffineScheme
/-!
# (Co)Limits of Schemes
We construct various limits and colimits in the category of schemes... |
f46d64798252793ea59279a846e0e0b1990b1d3d | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/ring_theory/fractional_ideal.lean | e3440a4d923037509082d52c0bbb4be341cbf792 | [
"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 | 14,320 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
Fractional ideals of an integral domain.
-/
import ring_theory.algebra_operations
import ring_theory.localization
/-!
# Fractional ideals
This file defines fractional ideal... |
7e45395502232ccd5d5beebdf1416fdf62d5f7c3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/observe.lean | 7e63eebcae46568bfa5749b0d397bdd1c4af2109 | [
"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 | 1,498 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import tactic.suggest
/-!
# observe
The `observe` tactic is mainly intended for demo/educational purposes.
Calling `observe hp : p` is equivalent to `have hp : p, ... |
cab453b010d8db0bc5af67ca7a97e90c236e30e4 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/calc_heq_symm.lean | b444c2b3ee1851de4c1294281bafb8dc879cba36 | [
"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 | 292 | lean | import logic
theorem tst {A B C D : Type} {a₁ a₂ : A} {b : B} {c : C} {d : D}
(H₀ : a₁ = a₂) (H₁ : a₂ == b) (H₂ : b == c) (H₃ : c == d) : d == a₁ :=
calc d == c : H₃
... == b : H₂
... == a₂ : H₁
... = a₁ : H₀
print definition tst
|
c0536832214ec7955de2b70aa5d481c1cea1668c | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/data/finset/extra.lean | 392713fbe0a2138206439364c995be7f4ff23766 | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 550 | lean | /-
This file contains extra definitions and theorems for `finset`.
-/
import data.finset
namespace finset ---------------------------------------------------------------
variables {A : Type} [decidable_eq A] {a b : A} {s : finset A}
-- Given `s : finset A`, `a ∈ s`, and `b ∉ s`, show that `a ≠ b`.
theorem ne_of_m... |
70f404764a8c98809b1810cc0c1cae0f4d1389c7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/min_max.lean | b8652ef33265562cd6f81db88612f93f4e89fe21 | [
"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 | 7,342 | 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 order.lattice
/-!
# `max` and `min`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprover-community/mathlib4/pull/728
> Any changes to t... |
6795358606d808b30bdffee50a0630a995a1ab13 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Init/Data/Stream.lean | fc1f07a7e7b20756e231f8a9d0771a6d676f5de3 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,178 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Andrew Kent, Leonardo de Moura
-/
prelude
import Init.Data.Array.Subarray
import Init.Data.Range
/-
Remark: we considered using the following alternative des... |
c59a57ada830c912d1cb83bf99004fffe7509000 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/control/monad/writer.lean | f2c720f70eef073651d26a83cf74d35c3f3ada39 | [
"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 | 7,924 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
The writer monad transformer for passing immutable state.
-/
import algebra.group.defs
import data.equiv.basic
universes u v w u₀ u₁ v₀ v₁
structure writer_t (ω :... |
92f0ddbc3edfb460e55153a871bcc8c1c8d60e4e | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/maps.lean | c86d300107ffaa845b314f7c5553edf73014fbd7 | [
"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 | 15,256 | 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 topology.order
/-!
# Specific classes of maps between topological spaces
This file introduces the following properties of a m... |
29030c141afb5d3e55c1b088f32061e2c5f31e40 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/analysis/convex.lean | 9ae75f68a724af02b102a2d8d1e080cb6a18dc52 | [
"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 | 28,155 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
Convex sets and functions on real vector spaces
-/
import analysis.normed_space.basic
import data.complex.basic
import data.set.intervals
import tactic.interac... |
5eadd2461a2b1552f66b6696f574f2769b158b58 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/legendre_symbol/mul_character.lean | e3c827cc2fb1b89ea91a451eb494a193cb3bad3a | [
"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 | 17,627 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import algebra.char_p.basic
import algebra.euclidean_domain.instances
import data.fintype.units
/-!
# Multiplicative characters of finite rings and fields
Let `R` and... |
ebbcde616f188137561b0aff8348abeb0d9031db | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/direct_sum/module.lean | dc76dae379fcbc9c7bc5a7189f32a502ab2093b9 | [
"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 | 9,550 | 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.direct_sum.basic
import linear_algebra.dfinsupp
/-!
# Direct sum of modules over commutative rings, indexed by a discrete type.
This file provides constructors... |
097ae6e7da6812ac175a627722e00de50448d2f9 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/measure_theory/borel_space.lean | bf28d92d5bd5e05aa6adacb54f038d5f041080f6 | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 20,995 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Borel (measurable) space -- the smallest σ-algebra generated by open sets
It would be nice to encode this in the topological space type class, i.e. each topological sp... |
ede3ef453321d1d510db5dd62448283f6a4870ff | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/match_tactic.lean | a91d8623410c9bac858b2d7f1b4c15ed46494a9f | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,966 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.function
namespace tactic
meta structure pattern :=
/- Term to match. -/
(target : expr)
/- Set of terms that is insta... |
26a49259ca38d845f09b0ea372ca493a20b5b1f2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/clause.lean | eedc711e8295ccaec6db6d327c82c3ac1f0c06b4 | [] | 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 | 1,703 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.term
import Mathlib.PostPort
namespace Mathlib
/-
Definition of linear constrain clause... |
036ec9ff4a29c2fb369f2db52e22a9902187c36a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/extra_degeneracy.lean | fe97e110dc13168c48810ae7ed8a6b602e417a3f | [
"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 | 15,573 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.alternating_face_map_complex
import algebraic_topology.simplicial_set
import algebraic_topology.cech_nerve
import algebra.homology.homotopy
import ta... |
53b46c1fd6b7163d044a278a5784012ee26dd5c1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /archive/100-theorems-list/83_friendship_graphs.lean | a60e1e69bdf6a5e5ff9e61fbb710261c22fa40ae | [
"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 | 13,788 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller
-/
import combinatorics.simple_graph.adj_matrix
import linear_algebra.matrix.charpoly.finite_field
import data.int.modeq
import data.zmod.basic... |
59ea13623b98da9e5370239b6c623f0f38338e46 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/anonymous_ctor_error_msg.lean | 916537c04c8b324aceacd3d4b8b6dbecd3634069 | [
"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 | 318 | lean |
structure Foo := (n : Nat)
def Foo.sum (xs : List Foo) : Foo :=
xs.foldl (λ s x => ⟨s.n + x.n⟩) ⟨0⟩
#check
let x1 := ⟨1⟩
let x2 := ⟨2⟩
let x3 := ⟨3⟩
-- let x4 := ⟨4⟩; -- If this line is uncommented we get the error at `⟨`
let x5 := ⟨5⟩
let x6 := ⟨6⟩
Foo.sum [x1, x2, x3, x5, x6]
|
bd2239a2a2bc8a638e0bb307c0dbd0647b81d479 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/Char/Basic.lean | fb504c7486b26cfe825ebca79051478fe66e25bc | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,839 | 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.Data.UInt
@[inline, reducible] def isValidChar (n : UInt32) : Prop :=
n < 0xd800 ∨ (0xdfff < n ∧ n < 0x110000)
/-- The `Char` Type repr... |
7f3090cd6b969d6864ced58daa423376a1a3cbe2 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/unfold_cases.lean | 25e34d3ccebd4c213a6071b4096d9b25ea102b3b | [
"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 | 6,292 | lean | /-
Copyright (c) 2020 Dany Fabian. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dany Fabian
-/
import tactic.split_ifs
/-!
# Unfold cases tactic
In Lean, pattern matching expressions are not atomic parts of the syntax, but
rather they are compiled down into s... |
a3c409ed28f7c186d7b1c9715e203359cf895407 | 2bafba05c98c1107866b39609d15e849a4ca2bb8 | /src/week_3/kb_solutions/Part_A_limits_solutions.lean | 55c1030e3bae046f0903781cf2eff1807f40fa88 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/formalising-mathematics | b54c83c94b5c315024ff09997fcd6b303892a749 | 7cf1d51c27e2038d2804561d63c74711924044a1 | refs/heads/master | 1,651,267,046,302 | 1,638,888,459,000 | 1,638,888,459,000 | 331,592,375 | 284 | 24 | Apache-2.0 | 1,669,593,705,000 | 1,611,224,849,000 | Lean | UTF-8 | Lean | false | false | 29,409 | lean | -- need the real numbers
import data.real.basic
-- need the tactics
import tactic
/-
# Limits
We develop a theory of limits of sequences a₀, a₁, a₂, … of reals,
following the way is it traditionally done in a first year undergraduate
mathematics course.
## Overview of the file
This file contains the basic definiti... |
8ef7aacc65ec16fad12a55aad63f6fea6b5c38ca | 2d34dfb0a1cc250584282618dc10ea03d3fa858e | /src/normed_with_aut.lean | 3a5281d13eab3c4ea96839cb7de77e60f57836c2 | [] | no_license | zeta1999/lean-liquid | 61e294ec5adae959d8ee1b65d015775484ff58c2 | 96bb0fa3afc3b451bcd1fb7d974348de2f290541 | refs/heads/master | 1,676,579,150,248 | 1,610,771,445,000 | 1,610,771,445,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 423 | lean | import NormedGroup
/-- A `normed_with_aut r V` structure on a normed abelian group `V`
consists of an automorphism `T` satisfying `∥T v∥ = r * ∥v∥`.
In other words, it is a normed `ℤ[T^{±1}]`-module satisfying `∥T v∥ = r * ∥v∥`.
Definition 8.13 of [Analytic] -/
class normed_with_aut (r : out_param ℝ) (V : NormedGrou... |
694466d9342628071e56a6245a2d57dee6fe6557 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/instances/real.lean | 226dbffb45a0fda79268430781718544a5209f35 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 11,027 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.uniform_mul_action
import topology.algebra.ring
impor... |
6e6b275e6d64d13a6144e82d01e0b2b4944da64c | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/phashmap_inst_coherence.lean | c335013e27d4883cd7870ecfe1e07699b0cbb943 | [
"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 | 361 | lean | import Init.Data.PersistentHashMap
def m : PersistentHashMap Nat Nat :=
let m : PersistentHashMap Nat Nat := {};
m.insert 1 1
def natDiffHash : Hashable Nat :=
⟨fun n => USize.ofNat $ n+10⟩
-- The following example should fail since the `Hashable` instance used to create `m` is not `natDiffHash`
#eval @PersistentHas... |
a6c64b12fb6502168949e3685d1b8926d5feef97 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/filter/default.lean | 20469ede615cc56cde4ac0cea10d0d8e695ab1f3 | [
"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 | 28 | lean | import order.filter.partial
|
5b0f542172ab038edd12667c0a1165f21a3bbaf9 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/solutions/thursday/category_theory/exercise5.lean | 43ee1b00700ec5b345670987eeaa29f8a5da9556 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,685 | lean | import category_theory.preadditive
import category_theory.limits.shapes.biproducts
/-!
We prove that biproducts (direct sums) are preserved by any preadditive functor.
This result is not in mathlib, so full marks for the exercise are only achievable if you
contribute to a pull request! :-)
-/
noncomputable theory
o... |
d6fa72f0ea666cb2c4e9a0b36003f0e9fe33475d | 6214e13b31733dc9aeb4833db6a6466005763162 | /src/freevars.lean | 6ff96fc9c0470ffa2498894c1af40c3381150618 | [] | no_license | joshua0pang/esverify-theory | 272a250445f3aeea49a7e72d1ab58c2da6618bbe | 8565b123c87b0113f83553d7732cd6696c9b5807 | refs/heads/master | 1,585,873,849,081 | 1,527,304,393,000 | 1,527,304,393,000 | 154,901,199 | 1 | 0 | null | 1,540,593,067,000 | 1,540,593,067,000 | null | UTF-8 | Lean | false | false | 82,069 | lean | -- lemmas about free variables and environments
import .definitions3
lemma free_in_term.value.inv {x: var} {v: value}: ¬ free_in_term x v :=
assume x_free_in_v: free_in_term x v,
show «false», by cases x_free_in_v
lemma free_in_term.var.inv {x y: var}: free_in_term x y → (x = y) :=
assume x_free_in_y: free_in_... |
a26796c7f92778d5f6fb6768aa4d50dda8fe89dd | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Class.lean | f5d8e9f7c6bdeccbdebb5ca177b5b593057dcc52 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,135 | 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.Attributes
namespace Lean
inductive ClassEntry
| «class» (name : Name) (hasOutParam : Bool)
| «instance» (name : Name) (ofClas... |
0b969f084b7e2074fc4d606ded6310da493cd7e1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/forInUniv.lean | 7edf2ee9657338c4610ae0816f41c79f457b7549 | [
"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 | 417 | lean | universe u
def f {α : Type u} [BEq α] (xs : List α) (y : α) : α := Id.run <| do
for x in xs do
if x == y then
return x
return y
structure S :=
(key val : Nat)
instance : BEq S :=
⟨fun a b => a.key == b.key⟩
theorem ex1 : f (α := S) [⟨1, 2⟩, ⟨3, 4⟩, ⟨5, 6⟩] ⟨3, 0⟩ = ⟨3, 4⟩ :=
rfl
theorem ex2 : f (α := S) [⟨1,... |
734b51936211fa4aa3dc209386c672a2f2c92dc7 | b074a51e20fdb737b2d4c635dd292fc54685e010 | /src/data/matrix.lean | 1fb59f4109dba79e413f492e40182f69c9934e8c | [
"Apache-2.0"
] | permissive | minchaowu/mathlib | 2daf6ffdb5a56eeca403e894af88bcaaf65aec5e | 879da1cf04c2baa9eaa7bd2472100bc0335e5c73 | refs/heads/master | 1,609,628,676,768 | 1,564,310,105,000 | 1,564,310,105,000 | 99,461,307 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,734 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
Matrices
-/
import algebra.module algebra.pi_instances
import data.fintype
universes u v
def matrix (m n : Type u) [f... |
629d64ae927108cadd7bd4b6171243ad122ad19b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/interactive/run.lean | 9c267760390143b2e7db4ea34ca5fa9a1b32a671 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 3,603 | lean | import Lean.Data.Lsp
open Lean
open Lean.Lsp
open Lean.JsonRpc
partial def main (args : List String) : IO Unit := do
let uri := s!"file://{args.head!}"
Ipc.runWith (←IO.appPath) #["--server"] do
let hIn ← Ipc.stdin
Ipc.writeRequest ⟨0, "initialize", { capabilities := ⟨⟩ : InitializeParams }⟩
let _ ← Ip... |
4b85ecbd171c57bd268dd906cef68dd5d14e9f50 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/444.lean | e869075c28be445c0a6d27220b4d619ef97459d6 | [
"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 | 56 | lean | open nat
#check succ 1
notation 1 := unit
#check succ 1
|
2b22b53e4c2892f02503b0ba480216b5a8b46c2a | b815abf92ce063fe0d1fabf5b42da483552aa3e8 | /library/debugger/cli.lean | cc0bf1e78131408047b40b477dd40ac82e010029 | [
"Apache-2.0"
] | permissive | yodalee/lean | a368d842df12c63e9f79414ed7bbee805b9001ef | 317989bf9ef6ae1dec7488c2363dbfcdc16e0756 | refs/heads/master | 1,610,551,176,860 | 1,481,430,138,000 | 1,481,646,441,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,322 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Simple command line interface for debugging Lean programs and tactics.
-/
import debugger.util
namespace debugger
inductive mode
| init | step | run | done
... |
00a4b4c40a004e376a1521fe4739f0c2122035ad | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/category_theory/abelian/exact.lean | 2d3e9b1c1d974d47685a02f059740a7f19db5487 | [
"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 | 16,791 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Adam Topaz, Johan Commelin, Jakob von Raumer
-/
import category_theory.abelian.opposite
import category_theory.limits.constructions.finite_products_of_binary_products
imp... |
f1a4f381ae1b666cf81562c082294b9b048c7f90 | f10d66a159ce037d07005bd6021cee6bbd6d5ff0 | /poly.lean | 4d4772643595cfae68704a3bf5dc6993769b686e | [] | no_license | johoelzl/mason-stother | 0c78bca183eb729d7f0f93e87ce073bc8cd8808d | 573ecfaada288176462c03c87b80ad05bdab4644 | refs/heads/master | 1,631,751,973,492 | 1,528,923,934,000 | 1,528,923,934,000 | 109,133,224 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 22,828 | lean | import .Sup_fin data.finsupp order.lattice data.nat.cast .euclidean_domain unique_factorization_domain
import .to_finsupp .to_finset
universes u v w
noncomputable theory
open classical set function finsupp lattice
local attribute [instance] finsupp.to_comm_semiring
local attribute [instance] finsupp.to_semiring
loc... |
046d9bd5a711007139f4113c0f9886a3fc130739 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Compiler/Util.lean | 76e67f585cee498a527cdfce66133e7fb2422c48 | [
"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 | 3,775 | 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.Environment
namespace Lean.Compiler
def neutralExpr : Expr := mkConst `_neutral
def unreachableExpr : Expr := mkConst `_unreachable
de... |
84c8731ada5bd6600f671db710a6904e45d2b739 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/byCasesMetaM.lean | 0d573bd973d3bc68e78aa3360b04294469843df0 | [
"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 | 537 | lean | import Lean
axiom ex (p q : Prop) (h : p ∧ q) : q ∧ q
open Lean in
open Lean.Meta in
def test : MetaM Unit := do
let type := (← getConstInfo ``ex).type
let mvar ← mkFreshExprMVar type
let (#[p, q, h], mvarId) ← mvar.mvarId!.introNP 3 | throwError "unexpected"
trace[Meta.debug] "{MessageData.ofGoal mvarId}"
... |
b1e1ded3d2c8c30221b9432340fd62519a737752 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/sec_var.lean | a6a042064f0a0fffe7a7c7df15c652a5b8aa3d9c | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 548 | lean | import logic
context
parameter A : Type
definition foo : ∀ ⦃ a b : A ⦄, a = b → a = b :=
take a b H, H
variable a : A
set_option pp.implicit true
check foo (eq.refl a)
check foo
check foo = (λ (a b : A) (H : a = b), H)
end
check foo = (λ (A : Type) (a b : A) (H : a = b), H)
section
variable A : Ty... |
637006d52a6614ad2590de7659f22da6bf6b0d28 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/instuniv.lean | be578dc5b69b6e03bcecd7b15bb90a321bd7601b | [
"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 | 403 | lean | import Lean
open Lean
unsafe def tst : IO Unit :=
withImportModules [{module := `Init.Data.Array}] {} 0 fun env =>
match env.find? `Array.foldl with
| some info => do
IO.println (info.instantiateTypeLevelParams [levelZero, levelZero]);
IO.println (info.instantiateValueLevelParams [levelZero, levelZero... |
a677ec0e32de827f4affd14dae43a35c859ca53d | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/analysis/specific_limits.lean | 088d9031a7010440819e24c877ee5392fc046abb | [
"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 | 47,627 | 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... |
094e7d17248d6e51b6b9da3937ecbb44af949a80 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/types/int/basic.hlean | eb07820410958d1eec43e568a2aac70cd0f8cef3 | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,910 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
The integers, with addition, multiplication, and subtraction. The representation of the integers is
chosen to compute efficiently.
To faciliate prov... |
65edafd3fb2bae94992bf65ad0402ac8fa757518 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/complex/is_R_or_C.lean | 2d5d06f16ee6a417806a9a823abc3c03bb2cd49a | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,842 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
/-!
# `is_R_or_C`: a typeclass for ℝ or ℂ
This file defines the type... |
ad5fcb45cf73590d50ea789e32f20b0657576a05 | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Data/List/Basic.lean | a994d11036d264fabb5fc12f6ba21060b870835f | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,739 | lean | import Mathlib.Logic.Basic
import Mathlib.Data.Nat.Basic
import Mathlib.Init.SetNotation
import Lean
namespace List
/-- The same as append, but with simpler defeq. (The one in the standard library is more efficient,
because it is implemented in a tail recursive way.) -/
@[simp] def append' : List α → List α → List α
|... |
e3966268bf082798c672d0f11a64ac4b2ef8fe01 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/data/buffer/parser.lean | 42e9f65c4bb7a7516ed6afc842d6b013ca1b5892 | [
"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 | 7,638 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import data.buffer data.dlist
inductive parse_result (α : Type)
| done (pos : ℕ) (result : α) : parse_result
| fail (pos : ℕ) (expected : dlist string) : parse... |
b34a9a3d6833d39cff972c2479772a3c682531a8 | 76df16d6c3760cb415f1294caee997cc4736e09b | /rosette-benchmarks-3/jitterbug/jitterbug/lean/src/jit.lean | 72d5f870e8bf0d1dd72f2151a61c47776f20349d | [
"MIT"
] | permissive | uw-unsat/leanette-popl22-artifact | 70409d9cbd8921d794d27b7992bf1d9a4087e9fe | 80fea2519e61b45a283fbf7903acdf6d5528dbe7 | refs/heads/master | 1,681,592,449,670 | 1,637,037,431,000 | 1,637,037,431,000 | 414,331,908 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 27,463 | lean |
import tactic.tauto
/-!
This file contains the metatheory of JIT correctness.
The main theorem is interpreter_equivalence, proved based on the following two sets of axioms.
Two axioms are assumed to be correct (e.g., ensured by the Linux kernel):
* ctx_correctness: the JIT computes a correct JIT context for the so... |
55c727202679d04c741b01c693c1a80313941fb1 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/tactic/omega/nat/main.lean | 578707c360b9bd541a010b1ad7e5f581d4d82f73 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 4,828 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Main procedure for linear natural number arithmetic.
-/
import tactic.omega.prove_unsats
import tactic.omega.nat.dnf
import tactic.omega.nat.neg_elim
import tactic.omega.nat.sub_... |
fdda76b53532ca8f3ee080d193a85c242f027cd0 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/homotopy/homotopy_group.lean | 045f1d84ad6d655899ad0dd2a7b99d2ae36d4a97 | [
"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 | 6,695 | lean | /-
Copyright (c) 2021 Roberto Alvarez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Roberto Alvarez
-/
import algebraic_topology.fundamental_groupoid.fundamental_group
/-!
# `n`th homotopy group
We define the `n`th homotopy group at `x`, `π n x`, as the equivalenc... |
86194da4bfe2beedcabd85096921000829e154af | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /hw8/lecture notes/associativity_and_precedence.lean | 602457d7efa87172e8f1992c4b6b7fa4d0e74499 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,475 | lean | --justin
import .propositional_logic_syntax_and_semantics
open pExp
-- lean left associative
-- '+' is associative
#check 2 + 3 + 4
#check (2 + 3) + 4
#check 2 + (3 + 4)
#check 5 - 3 - 1
#check 5 - (3 - 1)
#check (5 - 3) - 1
-- lean left associative
-- '-' not associative
#eval 5 - 3 - 1
#eval 5 - (3 - 1)
-- pre... |
e71e0016b17caad7dff3a056bec008b8daad69a1 | ce4db867008cc96ee6ea6a34d39c2fa7c6ccb536 | /src/Fait.lean | 014074069775bf8515587fb64fd2bf6633d4fe0b | [] | no_license | PatrickMassot/lean-bavard | ab0ceedd6bab43dc0444903a80b911c5fbfb23c3 | 92a1a8c7ff322e4f575ec709b8c5348990d64f18 | refs/heads/master | 1,679,565,084,665 | 1,616,158,570,000 | 1,616,158,570,000 | 348,144,867 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,363 | lean | import .commun
import .tokens
namespace tactic
setup_tactic_parser
meta def Fait_parser : lean.parser (name × pexpr × option pexpr) :=
with_desc "... : ... (par ... (appliqué à ...))" $
do n ← ident <* tk ":",
enonce ← texpr,
do { dem ← tk "par" *> texpr,
args ← applique_a_parser,
pure (n, enonc... |
4a0a8079c0ca3620b591eb3d6f7662bcc3e493ea | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/applications_lineaires/cpge_applin_11.lean | 0254f414587db561d2d5a5fbb5ed27d974d5aab0 | [] | 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 | 340 | lean | import algebra.module.linear_map
import linear_algebra.basic
import data.real.basic
theorem cpge_applin_11
(R : Type*) (E : Type*) (F : Type*)
[field R]
[add_comm_group E] [module R E]
[add_comm_group F] [module R F]
(f g : linear_map R E F)
:
(∀ x, ∃ (l:R), (g x) = l • (f x)) -> ∃ (l:R), (∀ x, g x = (l • f x)) ... |
cab3ced22ed524190947e4f85a3dec9379cb2f01 | bb31430994044506fa42fd667e2d556327e18dfe | /src/order/succ_pred/basic.lean | 4b540794fae568648caa866a02a148a22f705051 | [
"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 | 42,114 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.complete_lattice
import order.cover
import order.iterate
/-!
# Successor and predecessor
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this f... |
13c7763bab5570b048a9005439d6cc354238017b | d9ed0fce1c218297bcba93e046cb4e79c83c3af8 | /library/tools/super/simp.lean | 582c618cebfe36676d91a215fb7f7e99918aa084 | [
"Apache-2.0"
] | permissive | leodemoura/lean_clone | 005c63aa892a6492f2d4741ee3c2cb07a6be9d7f | cc077554b584d39bab55c360bc12a6fe7957afe6 | refs/heads/master | 1,610,506,475,484 | 1,482,348,354,000 | 1,482,348,543,000 | 77,091,586 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,537 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open tactic monad
namespace super
meta def prove_using_assumption : tactic unit := do
tgt ← target,
ass ← mk_local_def `h tgt,
exact ... |
4cbef4ca6cc5165749b63ec0e1dfcdf18bf6f459 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/repb.lean | 300fcf311728632c103462c087538665b120e0da | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 1,563 | lean | -- section linear_algebra
-- parameter ( k : Type )
-- parameter [ field k ]
-- class vector_space ( V : Type ) extends add_group V :=
-- ( scalar_multiplication : k → V → V )
-- ( module : ∀ ( c d : k ) ( v : V ), scalar_multiplication c (scalar_multiplication d v) = scalar_multiplication (c * d) v )
-- ( un... |
ce515767bace788ba784cd07e25cf21e59b704e7 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Quotation/Precheck.lean | 3e44fc9061e484df45eafc25fd23e9f3fc491617 | [
"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 | 5,875 | lean | /-
Copyright (c) 2021 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.KeyedDeclsAttribute
import Lean.Parser.Command -- for `precheckedQuot`
import Lean.Elab.Term
import Lean.Elab.Quotation.Util
namespace Lean.Elab.... |
9f14e0833152bf8320cef6b1b631dd6ce05e30b0 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rewriter13.lean | e10c1b0b4886d33890c924df973f0ee6d510cdd9 | [
"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 | 118 | lean | open nat
example (x y : nat) (H1 : sigma.pr1 ⟨x, y⟩ = 0) : x = 0 :=
begin
rewrite ▸* at H1,
rewrite H1
end
|
cd0a77bc3a37c5f78a04d7e4d34d50b791e39326 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /tests/lean/doIssue.lean | 52e1513688588654b444b7f1b5073a1613db0c21 | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 475 | lean | def f (x : Nat) : IO Unit := do
x -- Error
IO.println x
def f' (x : Nat) : IO Unit := do
discard x
IO.println x
def g (xs : Array Nat) : IO Unit := do
xs.set! 0 1 -- Error
IO.println xs
def g' (xs : Array Nat) : IO Unit := do
discard <| xs.set! 0 1 -- Error
IO.println xs
def h (xs : Array Nat) : IO ... |
3596c435d4c9488a398f6d0adf99593fcba5dd1d | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_283.lean | 27e673683c1154755ba0d8a3c61857a43057b3bd | [] | 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 | 80 | lean | variables p q : Prop
-- BEGIN
example (k : q) : p → q :=
assume h,
k
-- END |
c19ebfdd4818dec5bce7edf74f9f1f053fbf700e | 1a9d3677cccdaaccacb163507570e75d34043a38 | /src/week_7/Part_A_quotients.lean | 74b1357787c03b09901d5f125c9ce63f8c6ccc24 | [
"Apache-2.0"
] | permissive | alreadydone/formalising-mathematics | 687d386a72065795e784e270f5c05ea3948b67dd | 65869362cd7a2ac74dd1a97c7f9471835726570b | refs/heads/master | 1,680,260,936,332 | 1,616,563,371,000 | 1,616,563,371,000 | 348,780,769 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,790 | lean | import tactic
/-
# Quotients
The quotient of a type by an equivalence relation.
## Overview
A binary relation on a type `X` is just a function `r : X → X → Prop`,
that is, a true-false statement attached to each pair of elements of `X`.
If `r` is also reflexive, symmetric and transitive, we say it is an
equivalenc... |
43fc86687b87f2918a26cd0988a6c7d4ec61114e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/dec_trivial_problem.lean | f28d5fb4982b48437ceab9e684745770ec1e4da9 | [
"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 | 400 | lean |
definition n : nat := 3
open tactic
meta_definition dec_triv : tactic unit :=
do tgt ← target,
inst ← to_expr `(decidable %%tgt) >>= mk_instance,
to_expr `(@of_as_true %%tgt %%inst trivial) >>= exact
example : 0 < n :=
by dec_triv
notation `dec_trivial2` := by dec_triv
example : 0 < n :=
dec_trivial2
notat... |
dd169fdf80589b45ee313010106084692452e103 | e0b0b1648286e442507eb62344760d5cd8d13f2d | /src/Init/Data/Nat/Div.lean | 729bdf0b41c62fe57e7f58939ebcf133753ccbd8 | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,784 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.WF
import Init.Data.Nat.Basic
namespace Nat
private def div_rec_lemma {x y : Nat} : 0 < y ∧ y ≤ x → x - y < x :=
fun ⟨ypos, ylex⟩ => ... |
33cc5389f396212546c870903879317bd8342989 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/measure_theory/set_integral.lean | 3d36cdab96e8d9d6ce7b956146bb88541393a79e | [
"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 | 8,548 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.bochner_integration
import measure_theory.indicator_function
import measure_theory.lebesgue_measure
/-!
# Set integral
This file is temporarily ... |
6e8957cc2f358941895b0c4c2cba0b00faf2a86f | e0b0b1648286e442507eb62344760d5cd8d13f2d | /stage0/src/Lean/Server/FileWorker.lean | a36f15f9fbb8e682a0f46014bf34bafa14ec7b98 | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,655 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Lean.Environment
import Lean.PrettyPrinter
import Lean.DeclarationRange
import Lean.Data.Lsp
im... |
eda420d9556a5f11ea0aae2f64ed63a13bb205c7 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/t3.lean | 830f4323fa75da972f7e4a40a359348704f5961f | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 1,099 | lean | universe u
print raw Type.{u}
namespace tst
universe v
print raw Type.{v}
print raw Type.{tst.v}
end tst
print raw Type.{tst.v}
print raw Type.{v} -- Error: alias 'v' is not available anymore
section
universe variable z -- Remark: this is a local universe
print raw Type.{z}
end
print raw Type.{z} -- Error: ... |
8e11f2d1e51803453fc9bff93a4fa0e6cc88103a | b9a81ebb9de684db509231c4469a7d2c88915808 | /src/super/defs.lean | a5ea880776e0d7550da3d15f4416dd3917109daa | [] | no_license | leanprover/super | 3dd81ce8d9ac3cba20bce55e84833fadb2f5716e | 47b107b4cec8f3b41d72daba9cbda2f9d54025de | refs/heads/master | 1,678,482,996,979 | 1,676,526,367,000 | 1,676,526,367,000 | 92,215,900 | 12 | 6 | null | 1,513,327,539,000 | 1,495,570,640,000 | Lean | UTF-8 | Lean | false | false | 1,096 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open tactic expr monad
namespace super
meta def try_unfold_one_def (type : expr) : tactic expr :=
dunfold_head type transparency.all
... |
79b97aeb6bb20a8c7786e213fd4fed63ac58fb77 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/algebra/module/locally_convex.lean | 5c4d97312a8536ce6ac4209706d3627b2ad96fa5 | [
"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 | 3,984 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.convex.topology
/-!
# Locally convex topological modules
A `locally_convex_space` is a topological semimodule over an ordered semiring in which a... |
c55e59b7f80421ce7b68b78cd4d2fde4bdb3f022 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/simp_dsimp.lean | fec3a72d506e903151da5838be56e2c1101b5158 | [
"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 | 332 | lean | opaque A : Nat → Type
opaque f (x : Nat) (a : A x) : Nat
example (x : Nat) (a : A (x + 0)) : f (x + 0) a = x := by
simp
trace_state -- ⊢ f x a = x
sorry
example (x : Nat) (a : A (x + 0)) : f (x + 0) a = x := by
simp (config := { dsimp := false, failIfUnchanged := false })
trace_state -- ⊢ f (x + 0) a = x
... |
f3fcbfd36eaef8f44b7c618ccbdfd548099b1d8d | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/order/floor.lean | 105f0863536908db5861fd76f00ff5edd46f4559 | [
"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 | 19,979 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import tactic.abel
import tactic.linarith
/-!
# Floor and ceil
## Summary
We define the natural- and integer-valued floor and ceil functions on l... |
416f88aac79af9a533eef1fc536896185148bbe1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/analytic/radius_liminf.lean | 14a68455567e63d890d848737503786ab1c2d61c | [
"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 | 2,491 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.analytic.basic
import analysis.special_functions.pow
/-!
# Representation of `formal_multilinear_series.radius` as a `liminf`
In this file we prov... |
ad525bf3d446b2bfcfaaa260ccf54916e2caa1e8 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/omit.lean | 3e2e25393c5138e09fcd425dd4980fa6aaf55179 | [
"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 | 292 | lean | prelude section
variable A : Type
variable a : A
variable c : A
omit A
include A
include A
omit A
variable B : Type
variable b : B
variable d : B
include A
include a
include c
definition foo := b
inductive tst (C : Type)
| mk : tst
end
#check foo
#check tst
|
c0c0daeade67e3b841f0e8d5487d5eac942f883f | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/omega/int/form.lean | 0a4f73b71c777adf00390c7acb476a9c0da34f91 | [
"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 | 4,169 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
/-
Linear integer arithmetic formulas in pre-normalized form.
-/
import tactic.omega.int.preterm
namespace omega
namespace int
/-- Intermediate shadow syntax for LNA formula... |
212f358cbfa9494cecd7898b8e7f40499aa925dc | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/measure_theory/outer_measure.lean | 917dd98ea36164f33a7bb91e8ead8d0804341b6a | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,622 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import analysis.specific_limits
import measure_theory.measurable_space
import topology.algebra.infinite_sum
/-!
# Outer Measures
An outer measure is... |
e5b3d8d26050a9a8c2f11437b9a11100ff730e66 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/Projection/projector.lean | 88d688d398277fc3a9ab4a1eddb6476ce14fdd97 | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 12,356 | lean | import linear_algebra.basic
import data.sum
import linear_algebra.finite_dimensional
universes u v w w' w''
set_option pp.beta true
notation `Σ` := finset.sum finset.univ
/-!
Goals : sudying familly of projector.
We start by sudy i little projector.
-/
namespace Projector
open linear_map
variables {R : Ty... |
33b2632fd24446723c29e8a2386d1933469e29e8 | 37336e9dcf558f325cf43bdf45bab5d8e455a3b4 | /M1F/2017-18/Example_Sheet_01/Question_01/question_real.lean | f6ebe640fb63645f37f860f6b6b16d0940f290d4 | [] | no_license | rafaelbailo/xena | bfeab41b3b401c812689a4879d58f2ad046240b5 | fad865c3d1bac6279f9a77e8aa6ba7e0cd572e06 | refs/heads/master | 1,626,002,809,060 | 1,507,793,086,000 | 1,507,793,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 623 | lean | /-
M1F 2017-18 Sheet 1 Question 1
Author : Kevin Buzzard
Note: this version of the question uses rational numbers instead of real numbers.
TODO (KMB) : Replace topology.real with more user-friendly real numbers.
: figure out how to use x^2 instead of x*x
: figure out how to make 3 mean 3:R rathe... |
a24aad799eb73d61f28047810a923b835cf858cb | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/RightSpindle.lean | c1f62f27211d604f0acc081a86e771361aad72dd | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,225 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section RightSpindle
structure RightSpindle (A : Type) : Type :=
(rinv : (A → (A → A)))
(rightDistributive : (∀ {x y z : A} , (rinv (rinv y z) x) = (rinv (rinv y x) (ri... |
46069ac4e7999e62e9cc846ca6a98a22f36a3294 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/category_theory/limits/cones.lean | 8735cd7dbb02e2ff2e88183c404902a2797d2abb | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 16,917 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.const
import category_theory.yoneda
import category_theory.concrete_category.bundled_hom
import category_theo... |
a6b2e61d1b8be52e8863f545ccfde27d04fb3c69 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/string_block.lean | 0279d07ab567d096e42830dcae6eaac9692fe373 | [
"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 | 307 | lean | #check /-" foo "-/
#check /-" /- foo -/ "-/
#check /-" /-"" foo -/ "-/
#check /-" /-"" foo -/ """-/
#check /-" /-"" foo -/ "-""""-/++""
#print /-"
## Markdown heading
String blocks are like comments:
```lean
/-- My declaration -/
def my_declaration : string :=
/-"
They can be nicely nested
"-/
```
"-/ |
b4c0151e44666eb6320fca0ebdf42d1da00aef29 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /data/num/bitwise.lean | a3b9731ffc6f4f521c16aaaca8907170dfa3c0ca | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,082 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Bitwise operations using binary representation of integers.
-/
import data.num.basic
namespace pos_num
def lor : pos_num → pos_num → pos_num
| 1 (bi... |
58e2356a17aeca1097845f6bfef767e566bc4d58 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/subring.lean | 89a2877fa5d3aa5eb7ad2475a965a2756375cc1f | [
"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 | 37,998 | lean | /-
Copyright (c) 2020 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import group_theory.subgroup
import ring_theory.subsemiring
/-!
# Subrings
Let `R` be a ring. This file defines the "bundled" subring type `subring R`, a type
... |
fb965d42c6f247cc9dd6576f2f92c363423a14cb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/function/ae_measurable_order.lean | 6bf64579b82748ea5530e6b68704f9e658dbee9a | [
"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 | 6,235 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.constructions.borel_space
/-!
# Measurability criterion for ennreal-valued functions
Consider a function `f : α → ℝ≥0∞`. If the level se... |
c9a3d4eaaf350bf64719e7809e69c208d9ffc537 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/algebra/category/CommRing/basic.lean | 2eb7c7547777f90f38acd5a77e53d14baffcd70e | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 3,750 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Yury Kudryashov
-/
import algebra.category.Mon.basic
import category_theory.fully_faithful
import algebra.ring
import data.int.basic
/-!
# Category in... |
332d07cd0d0eed24e021328767cfcc68dd1bfaff | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/group_action/quotient.lean | d9bd002eff0e8d63e7a62445fd1bc0802c1055ea | [
"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 | 15,598 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import algebra.hom.group_action
import data.fintype.big_operators
import dynamics.periodic_pts
import group_theory.group_action.conj_act
import group_the... |
42c44147b7c3a2e272af7b9a45cd82226debc492 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed/order/basic.lean | 924b53f36f901e1e88ace52a6937ad45bbb6e9cc | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,137 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Yaël Dillies
-/
import algebra.order.group.type_tags
import analysis.normed_space.basic
/-!
# Ordered normed spaces
In this file, we define classes for fields and... |
51dda2aa4e50c921daa2b9c18f0435f91491d45d | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/propagateExpectedType.lean | 72033f214fad6a3b0f10a529ea00d4664f054d41 | [
"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 | 1,583 | lean | variables {α : Type _} (r : α → α → Prop) (π : α → α)
inductive rel : α → α → Prop
| of {x y} : r x y → rel x y
| compat {x y} : rel x y → rel (π x) (π y)
| refl (x) : rel x x
| symm {x y} : rel x y → rel y x
| trans {x y z} : rel x y → rel y z → rel x z
def thing : Setoid α := ⟨rel r π, ⟨rel.refl, rel.symm, rel.tran... |
ea98e5f7a406e6824c26a1dd92fc2bab937c322d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/commensurable.lean | bf7f219b618b5b4eaaf9b2f6be1e0f92e3be22f0 | [
"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 | 4,260 | lean | /-
Copyright (c) 2021 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import group_theory.index
import group_theory.subgroup.pointwise
import group_theory.group_action.conj_act
/-!
# Commensurability for subgroups
> THIS FILE IS SYNCHR... |
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