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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a3453061eed2d38869350ff0fd4fb7349dfe3d03 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /tests/lean/run/quote_bas.lean | ccef44518dfc0fa93e6ff57fd96a6c0f83bfd3e6 | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,530 | lean | universes u v w
namespace quote_bas
inductive Expr (V : Type u)
| One {} : Expr
| Var (v : V) : Expr
| Mult (a b : Expr) : Expr
@[reducible] def Value := nat
def Env (V : Type u) := V → Value
open Expr
def evalExpr {V} (vs : Env V) : Expr V → Value
| One := 1
| (Var v) := vs v
| (Mult a ... |
b4825247e7abc7d1f1a8e5cb33c640b26360fdcf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/kleene.lean | ed2ef7a143c8ef30f8212c9d28580578f0c41f21 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,910 | lean | /-
Copyright (c) 2022 Siddhartha Prasad, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Prasad, Yaël Dillies
-/
import algebra.order.ring.canonical
import algebra.ring.pi
import algebra.ring.prod
import order.hom.complete_lattice
/-!
# Kleene ... |
3401676ab42fe9bb46b63180513bf32a00422c5c | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/rel_iso.lean | 16c7ecbe6a835cf0f07db4358fd2a4c233c85be9 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,400 | 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 logic.embedding
import order.rel_classes
import data.set.intervals.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α... |
3b42a9c1308a4407d54c663a870e7b50f0f56424 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/pequiv.lean | 558c23baab78be144aa07be20521774683eaecc5 | [
"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 | 11,735 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.equiv.basic data.set.lattice tactic.tauto
universes u v w x
/-- A `pequiv` is a partial equivalence, a representation of a bijection between a subset
of ... |
776466101b7857cc18b61dd70f86db503243c5dc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/class_number/admissible_abs.lean | 53bff2817009c5feaf186fa548aba993b16939ab | [
"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 | 2,566 | 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 algebra.algebra.basic
import number_theory.class_number.admissible_absolute_value
/-!
# Admissible absolute value on the integers
This file defines an admissible ab... |
c2986dddaea982f3bdb116fc2ec61532f10d9fff | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/number_theory/bernoulli_polynomials.lean | 47398b8ea4b48361a48eac173ff8f4c93c3e05ca | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,088 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import number_theory.bernoulli
/-!
# Bernoulli polynomials
The Bernoulli polynomials (defined here : https://en.wikipedia.org/wiki/Bernoulli_polynomials)
are a... |
30d9735079a4852e689f7c0bf4830e02fe8a3eb7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/wide_pullbacks.lean | 03cec603eb75f801588ba0d1ba507d5cafae554e | [
"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 | 16,944 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Jakob von Raumer
-/
import category_theory.limits.has_limits
import category_theory.thin
/-!
# Wide pullbacks
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to ... |
2e429baceb7231d1d2234d9d608bdbe41f69494b | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/bench/rbmap2.lean | b90acd7802728e26ea0372f2bbf1ac5c9e1943be | [
"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 | 2,899 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.ordering.basic init.coe init.data.option.basic init.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {... |
9513a7e2f9202f6bd34475a5f7ab597f3664f7b8 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/ring_theory/matrix_algebra.lean | 63221f7c909f7b950c746aa9c7decb6497d5be3a | [
"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 | 6,718 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import ring_theory.tensor_product
/-!
We provide the `R`-algebra structure on `matrix n n A` when `A` is an `R`-algebra,
and show `matrix n n A ≃ₐ[R] (A ⊗[R] matrix ... |
9d3fbc747adac3ac5ae0f01a3090392c3b819063 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/record10.lean | 00aa05c003b264cb10d628ceac1dc8f3697e6eb8 | [
"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 | 578 | lean | import logic
structure semigroup [class] (A : Type) extends has_mul A :=
(assoc : ∀ a b c, mul (mul a b) c = mul a (mul b c))
print prefix semigroup
print "======================="
structure has_two_muls [class] (A : Type) extends has_mul A renaming mul→mul1,
private has_mu... |
30a68e50d58a1a9062e03731ef6fdde1fcb8be76 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/bench/rbmap2.lean | 6a1d928574c438eb548c54b18761b0beb0c62d29 | [
"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 | 2,897 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.coe init.data.option.basic init.system.io
universe u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
82a193bafa4ec4841d2d92032a59560cf9fdf7bd | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/group_theory/perm/cycles.lean | c0ee3a842d274433289499a6be012f5250fab3df | [
"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 | 40,508 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.nat.parity
import data.equiv.fintype
import group_theory.perm.sign
import data.finset.noncomm_prod
/-!
# Cyclic permutations
## Main definitions
In the foll... |
a7d2e90c02731206cd993b90442d9f41571dcb17 | fe84e287c662151bb313504482b218a503b972f3 | /src/commutative_algebra/bool_field.lean | 520fd3ffa2cf9f9fb40a0fa786112e20debe096b | [] | 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 | 942 | lean | import algebra.field.basic
instance : field bool := {
zero := ff, one := tt,
neg := id, inv := id,
add := bxor, mul := band,
zero_add := by { repeat { rintro ⟨_⟩ }; refl },
add_zero := by { repeat { rintro ⟨_⟩ }; refl },
one_mul := by { repeat { rintro ⟨_⟩ }; refl },
mul_one := b... |
28e4ccff6cbb07f469465e7897d78e7b46cacc29 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/algebra/category/functor/adjoint2.hlean | 475924dba435f4352a6734a293fc7c738258ce24 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 1,556 | hlean |
import .equivalence
open eq functor nat_trans prod prod.ops
namespace category
variables {C D E : Precategory} (F : C ⇒ D) (G : D ⇒ C) (H : D ≅c E)
/-
definition adjoint_compose [constructor] (K : F ⊣ G)
: H ∘f F ⊣ G ∘f H⁻¹ᴱ :=
begin
fconstructor,
{ fapply change_natural_map,
{ exact calc
... |
e8c14467de5032529346ef07850a83a7b4d6fef5 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/st_options.lean | f981d9a6ca24dab962d4c8251ba10af5dd9964a9 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,498 | lean | structure [class] semigroup (A : Type*) extends has_mul A :=
(mul_assoc : ∀a b c, mul (mul a b) c = mul a (mul b c))
structure [class] comm_semigroup (A : Type*) extends semigroup A :=
(mul_comm : ∀a b, mul a b = mul b a)
structure [class] left_cancel_semigroup (A : Type*) extends semigroup A :=
(mul_left_cancel : ∀a... |
9fcc8d15422058a71f8fb1fc077ba713d691c833 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/special_functions/trigonometric/arctan_deriv.lean | 80962df871ee936997c3d4738cb439f4bdad8c09 | [
"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 | 7,635 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.trigonometric.arctan
import analysis.special_functions.trigonometric.... |
3f8d61d3e88e8cebdbdab9ac5a5ca63aed188dfd | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/hit/colimit.hlean | 3ee947f81d1e98682be002f15751d6a336c2cbbe | [
"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 | 6,009 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.colimit
Authors: Floris van Doorn
Definition of general colimits and sequential colimits.
-/
/- definition of a general colimit -/
open eq nat type_quotient sigma equiv
namesp... |
480209021cc5ce36d34e7dde8ea114d2ce65d74a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/coevaluation.lean | 32dcc3dd480c5901b2b2ce8f4715c2f4c24dba6f | [
"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 | 4,156 | lean | /-
Copyright (c) 2021 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
-/
import linear_algebra.contraction
import linear_algebra.finite_dimensional
import linear_algebra.dual
/-!
# The coevaluation map on finite dimensional vector spa... |
bead80dc819e4683b39caf5fb6d162997e566cb0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/shapes/wide_equalizers.lean | 552590841f4630502b3e2f22dc5de7944c32d7f0 | [
"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 | 27,879 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.epi_mono
import category_theory.limits.has_limits
import category_theory.limits.shapes.equalizers
/-!
# Wide equalizers and wide coequalizers
Thi... |
bdcf3c44e905e828e1d15256aa48b95212178bd2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group/opposite.lean | 11891aa81b4159c1ab1aabd6dac7ce96c1f5d022 | [
"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 | 23,678 | 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.group.inj_surj
import algebra.group.commute
import algebra.hom.equiv.basic
import algebra.opposites
import data.int.cast.defs
/-!
# Group structures on the mult... |
e0d002241a237e4307a7efb324fe970e03a8ac44 | 5c4b17dae42fab1d4f493f3b52977bffa54fefea | /2-vec-matrix.lean | 266e6c381621705e0f844a8a48077d9dad162fc9 | [] | no_license | hyponymous/theorem-proving-in-lean-solutions | 9214cb45cc87347862fd17dfdea79fdf24b9df92 | a95320ae81c90c1b15da04574602cd378794400d | refs/heads/master | 1,585,777,733,214 | 1,541,039,359,000 | 1,541,039,359,000 | 153,676,525 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,880 | lean | universe u
constant vec : Type u → ℕ → Type u
namespace vec
constant empty : Π α : Type u, vec α 0
constant cons :
Π {α : Type u} {n : ℕ}, α → vec α n → vec α (n + 1)
constant append :
Π {α : Type u} {n m : ℕ}, vec α m → vec α n → vec α (n + m)
end vec
#check vec
-- Above, we used the example vec α n ... |
a251400f6a838b04b1bf9874cb4511cd82f32de3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/rat/floor.lean | 01eb966c96aaf71adc49deb4c97860428c4e3d5d | [
"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 | 6,421 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Kappelmann
-/
import algebra.floor
import tactic.field_simp
/-!
# Floor Function for Rational Numbers
## Summary
We define the `floor` function... |
e658c1433097a6f83ddac93aa7a0633c28bcaf78 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inlineLoop.lean | 514bfe9d766a284e3bbd22e7cf20bce8888ccf3b | [
"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 | 396 | lean | namespace Test1
mutual
partial def f (a : Nat) : Nat := g a
partial def g (a : Nat) : Nat := f a
end
end Test1
namespace Test2
mutual
@[inline]
partial def f (a : Nat) : Nat := g a + g a + g a + g a
@[inline]
partial def g (a : Nat) : Nat := f a + f a + f a + f a
end
end Test2
namespace Test3
parti... |
55cee33faca8ca8c7a702433d3fa3b3c455b7d2a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/match_fun.lean | 5e9b9006309659270eb22eeeb8efaaf1a1069faf | [
"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 | 441 | lean | open bool nat
definition foo (b : bool) : nat → nat :=
match b with
| tt := λ x : nat, zero
| ff := λ y : nat, (succ zero)
end
example : foo tt 1 = zero := rfl
example : foo ff 1 = 1 := rfl
definition zero_fn := λ x : nat, zero
definition foo2 : bool → nat → nat
| foo2 tt := succ
| foo2 ff := zero_fn
example : fo... |
44a209747a7956e5b98315107db65418d0550a87 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/EllipticCurve.lean | b7eab79cba7a8779851adab99065a1c41af3bcd8 | [
"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 | 4,006 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import data.rat.basic
import tactic.norm_num
/-!
# The category of elliptic curves (over a field or a PID)
We give a working definition of elliptic curves which is m... |
4864e67c80955bf2d22819f3676afe4dd9bd5d65 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/OtherDecl.lean | 560ed28834aeb5a96a53671c940aede6b9c5d578 | [
"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 | 610 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.BaseTypes
import Lean.Compiler.LCNF.MonoTypes
namespace Lean.Compiler.LCNF
/--
Return the LCNF type for constructors, inductive ... |
0d64ce49ec604a8f9255b77360c30c17b9ab95fd | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/list/basic.lean | 46ae32be6ffa547df20dc80980f28feb0fc16ce8 | [
"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 | 161,235 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import algebra.order_functions
import control.monad.basic
import data.nat.choose.basic
import ... |
e74c3c6d26797cc97cc390a3999dc96dd63fd690 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_1636.lean | 76e5940c1cd6268d5ec05e92b2dfbab8cd251663 | [] | 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 | 430 | lean | import data.real.basic
import data.nat.prime
open nat
-- BEGIN
example : ∃ x : ℝ, 2 < x ∧ x < 4 :=
begin
use 5 / 2,
split; norm_num
end
example : ∃ m n : ℕ,
4 < m ∧ m < n ∧ n < 10 ∧ prime m ∧ prime n :=
begin
use [5, 7],
norm_num
end
example {x y : ℝ} : x ≤ y ∧ x ≠ y → x ≤ y ∧ ¬ y ≤ x :=
begin
rintros ⟨... |
19b05bf9b41c56261649c2f493ce2bee567f8206 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1113.lean | f4036fd1e3a3b18caf3c6efb956ec7a3ce24f9b1 | [
"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 | 334 | lean | def foo: {n: Nat} → Fin n → Nat
| 0, _ => 0
| n+1, _ => 0
theorem t3 {f: Fin (n+1)}:
foo f = 0 := by
simp only [←Nat.succ_eq_add_one n] at f
trace_state
simp only [←Nat.succ_eq_add_one n, foo]
example {n: Nat} {f: Fin (n+1)}:
foo f = 0 := by
revert f
rw[←Nat.succ_eq_add_one n]
intro f
simp only [f... |
374ba35e4bb84ddfb7dd40d6fcf4344415af8a88 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/order/bounded_lattice.lean | 14fd9cd67bfc4427f3bff4ca16b30d4b047d4172 | [
"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 | 29,323 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice data.option.basic
tactic.pi_instances
set_option ol... |
1b6e817606b748ad8e1086ee4aed8f4dda83243b | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/category_theory/types.lean | 8925f61814404cff2d354c1a1c4f9df4dec4c4c4 | [
"Apache-2.0"
] | permissive | skbaek/mathlib | 3caae8ae413c66862293a95fd2fbada3647b1228 | f25340175631cdc85ad768a262433f968d0d6450 | refs/heads/master | 1,588,130,123,636 | 1,558,287,609,000 | 1,558,287,609,000 | 160,935,713 | 0 | 0 | Apache-2.0 | 1,544,271,146,000 | 1,544,271,146,000 | null | UTF-8 | Lean | false | false | 4,399 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
import category_theory.functor_category
import category_theory.fully_faithful
import data.equiv.basic
namespace category_theory
... |
f19240de38e2297d81944d8603077a57f3775e78 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/import_invalid_tk.lean | 5ff4c774c4ac01c08544d35e37951c29b0f14b9e | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39 | lean | import data.bitvec 0b311
print bitvec
|
049d5a6c3a7e5bcf045809a7d10190a858ebf173 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/continuous_function/bounded.lean | 7207cb70e936d629751ef6d2333565b9cc93451a | [
"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 | 60,484 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import analysis.normed.order.lattice
import analysis.normed_space.operator_norm
import analysis.normed_space.s... |
228445ce5ee2082f82a2c7d1254e4fca6f406b3f | 618003631150032a5676f229d13a079ac875ff77 | /test/simps.lean | 449306e006d76c77725b01b96188863c6d1f841b | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 7,328 | lean | import tactic.simps
open function tactic expr
structure equiv (α : Sort*) (β : Sort*) :=
(to_fun : α → β)
(inv_fun : β → α)
(left_inv : left_inverse inv_fun to_fun)
(right_inv : right_inverse inv_fun to_fun)
infix ` ≃ `:25 := equiv
namespace foo
@[simps] protected def rfl {α} : α ≃ α :=
⟨id, λ x, x, λ x, rfl,... |
4d55e0439d1db754619888351ff3f816d6008c5b | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/lean/compiler/default.lean | d30910f3a6eb854fcea14ccc01b787132edeb8a6 | [
"Apache-2.0"
] | permissive | frank-lesser/lean4 | 717f56c9bacd5bf3a67542d2f5cea721d4743a30 | 79e2abe33f73162f773ea731265e456dbfe822f9 | refs/heads/master | 1,589,741,267,933 | 1,556,424,200,000 | 1,556,424,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 211 | 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.constfolding
|
7025f1a5899b09a8349b281a725bbc0775efad1f | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/algebra/archimedean.lean | d6ac88f7e0aeef9a037947b4bc7bd2e8d9af9ae1 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 15,912 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Archimedean groups and fields.
-/
import algebra.group_power algebra.field_power
import data.rat tactic.linarith tactic.abel
local attribute [instance, priority 0] nat... |
d2dc6aa81282fcdf0c1ef25ff0bff5fb01c3d15d | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/topology/metric_space/holder.lean | 32aff15a77245517ec6046b9d7bf301efe1f4a5a | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,701 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import topology.metric_space.lipschitz
import analysis.special_functions.pow
/-!
# Hölder continuous functions
In this file we define Hölder continuity on a... |
6c8b0f06ece3a913ef89fa366f75114854b9508d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/ring_bigops.lean | de64b7963fea65e39bbb23b199bf2b3497332e0d | [
"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 | 6,051 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Properties of finite sums and products in various structures, including ordered rings and fields.
There are two versions of every theorem: one for finsets, and one for fin... |
7ea87b6e4601e7a7c82bf38b40e53b1508040a99 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/examples/graphs.lean | 06872140305927b2dd5d328ac667e5a13537d896 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 1,291 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.category
import category_theory.graphs
open category_theory
open category_theory.graphs
namespace category_theory.examples.graphs
univer... |
c19cbc61105248b11ad2ff4e1c1aa0cf26766922 | 5bf112cf7101c6c6303dc3fd0b3179c860e61e56 | /lean/problems/number_theory/imo_2018_sl.lean | ba2a2f19cc71775adf990678fa2ea1accfdc2f1a | [
"Apache-2.0"
] | permissive | fredfeng/formal-encoding | 7ab645f49a553dfad2af03fcb4289e40fc679759 | 024efcf58672ac6b817caa10dfe8cd9708b07f1b | refs/heads/master | 1,597,236,551,123 | 1,568,832,149,000 | 1,568,832,149,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,229 | lean | import background
namespace IMOGrandChallenge
namespace Problems
namespace NumberTheory
def IMO_2018_SL_N1 : Type :=
-- note: assuming divisors returns a multiset (list would do as well)
determine $ λ (nk : ℕgt0 × ℕgt0) =>
match nk with
| n, k => n ≠ k ∧ ∃ (s : ℕgt0), |divisors (s * n)| = |div... |
f68147e922ccc102ffe88e31c6674f7bced98c41 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/data/setoid.lean | 0824a600abe271cc794ef1e2db50d134f418a7d0 | [
"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 | 24,295 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston, Bryan Gin-ge Chen
-/
import data.quot data.set.lattice data.fintype order.galois_connection
/-!
# Equivalence relations
The first section of the file defines t... |
b176a9757af09ef2d988038fff84cac0abf01db2 | 618003631150032a5676f229d13a079ac875ff77 | /src/set_theory/ordinal.lean | f01b8bd1387fa1ce015a37c1843b5b07d40856f6 | [
"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 | 138,183 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import set_theory.cardinal
/-!
# Ordinal arithmetic
Ordinals are defined as equivalences of well-ordered sets by order isomorphism.
-/
noncomputable theory
open fu... |
851ac14511f4f3241b64df65f16da5937ef895ae | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/real/basic.lean | 1d7d5ea697ef42e51de0ea0dc5ddfb3c454f2180 | [
"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 | 26,549 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
The (classical) real numbers ℝ. This is a direct construction
from Cauchy sequences.
-/
import order.conditionally_complete_lattice
import data.real.c... |
439b9d43a018b02adde5816de202c67681bd4554 | 2f291cee459e0e7f5af2abd1034c11b969936560 | /src/faulhaber_with_power_series.lean | 676e890bfaa291e403d13a75cc1f6a50c10cd08c | [] | no_license | mo271/faulhaber | be5a22e717f59b5a0a5b1f1e1acf61ff768c5400 | 2e39d9cb7bc6fc400a818b2581ee921d41a7871a | refs/heads/master | 1,678,216,700,259 | 1,613,991,672,000 | 1,613,991,672,000 | 338,251,172 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,373 | lean | import tactic
import data.nat.prime
import data.nat.parity
import algebra.divisibility
import algebra.big_operators
import data.set.finite
import number_theory.bernoulli
import data.finset
import data.finset.basic
import data.nat.basic
import data.finset.nat_antidiagonal
import ring_theory.power_series.basic
open pow... |
b521737b9c83a9c1e01fe54461c94dba2d7cd93e | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/equiv/mul_add.lean | 006f3da6b67284e64d5a649a5016e5885042bc53 | [
"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 | 9,211 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.basic algebra.group.hom deprecated.group
/-!
# Multiplicative and additive equivs
In this file we define two exte... |
5e5d82dfed0c2fcb0482ffb0fde8a56265e49269 | abd85493667895c57a7507870867b28124b3998f | /src/linear_algebra/affine_space.lean | 0f0dad89f7b567c277a53d474aea68cf1a7e1ed1 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 11,163 | 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 algebra.add_torsor
import linear_algebra.basis
noncomputable theory
/-!
# Affine spaces
This file defines affine spaces (over modules) and subspaces, affine
map... |
0c0351c8cbced4b78c9789a575a66660ce78f6a9 | bb31430994044506fa42fd667e2d556327e18dfe | /src/group_theory/quotient_group.lean | 14fc5da61645ddeea18b25e9435f99ac0f403ee6 | [
"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 | 23,662 | lean | /-
Copyright (c) 2018 Kevin Buzzard, Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Patrick Massot
This file is to a certain extent based on `quotient_module.lean` by Johannes Hölzl.
-/
import group_theory.congruence
import group_theory.... |
fa89dd98810ea8c231c7f6332fdb3e67bf7f3e41 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/higherOrderFunctions/option_mapTest.lean | 4281f02edc2e8d7c761dc81bef95666a493aa1b3 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 477 | lean | import ..type_library.option
namespace hidden
-- concrete example
def map_option_nat_nat :
(nat → nat) →
(option nat) →
option nat
| f option.none := option.none
| f (option.some v) := option.some (f v)
-- API, general case
universes u₁ u₂
#check option
def map_option
{α : Type u₁}
{β : Type u... |
eb7695307fe64a8134ce2b831e46d27b6f33ad43 | dc253be9829b840f15d96d986e0c13520b085033 | /archive/smash_assoc.hlean | c056ca6e7d61fa58b753a0de89d3fb154235f25f | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 24,031 | hlean | -- Authors: Floris van Doorn
-- In collaboration with Stefano, Robin
import ..homotopy.smash homotopy.red_susp
open bool pointed eq equiv is_equiv sum bool prod unit circle cofiber prod.ops wedge is_trunc
function red_susp unit sigma
exit
namespace smash
variables {A B C : Type*}
open pushout
definition... |
88b08a613b81a4b7404a71e14764b0c48c11a167 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_unit_edges.lean | 8de83de11450d7ddc47956456eb240202cf0cd47 | [
"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 | 657 | lean | -- Testing all possible cases of [unit_action]
set_option blast.strategy "unit"
universes l1 l2
variables {A B C : Prop}
variables {X : Type.{l1}} {Y : Type.{l2}}
variables {P : Y → Prop}
-- Types as antecedents
example (H : X → A) (x : X) : A := by blast
example (H : X → A → B) (x : X) (nb : ¬ B) : ¬ A := by blast
e... |
4fd13029e999301cc44d771dc0f825cef331c56a | b147e1312077cdcfea8e6756207b3fa538982e12 | /analysis/topology/topological_structures.lean | e772685d1faae62a0b57536103bc34544153e077 | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 46,858 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Theory of topological monoids, groups and rings.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
... |
a87668e77b09ffd83acdcfa331204e838ed635e5 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/constructions/over/default.lean | f3e8c432810860374a1176312d67a531dffcb33d | [
"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 | 2,154 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.limits.connected
import category_theory.limits.constructions.over.products
import category_theory.limits.constructio... |
20a21c94f4ffc575ee728e6d76253e81a112fb66 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/polynomial/monic.lean | f20789c86632a03f6a3a06fa86027825dd4863db | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,846 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.reverse
import algebra.associated
import algebra.regular.smul
/-!
# Theory of monic polynomials
W... |
4fe909076b8de148cb0ab11f8120b29da5ee4d20 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Class.lean | c8e052d701e93b18158f3276d720b9005c24137c | [
"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 | 5,028 | 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.Attributes
namespace Lean
/-- An entry for the persistent environment extension for declared type classes -/
structure ClassEntry where
/-- ... |
51939990b7f92fa9454232df9f15fa0c6c7bbbea | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /archive/imo/imo2006_q3.lean | 4b6f9377eecb3d4d9a1618ab8bf59e68f154b67d | [
"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 | 5,394 | lean | /-
Copyright (c) 2021 Tian Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tian Chen
-/
import analysis.special_functions.sqrt
/-!
# IMO 2006 Q3
Determine the least real number $M$ such that
$$
\left| ab(a^2 - b^2) + bc(b^2 - c^2) + ca(c^2 - a^2) \right|
≤ M (a... |
5b1f0879b3b76543fb8e65d351ea67a1d24c46ae | 4727251e0cd73359b15b664c3170e5d754078599 | /src/model_theory/skolem.lean | dcc2bb75a2a6ec040b2472f5e64f81b6d779fcd4 | [
"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 | 5,897 | 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.elementary_maps
/-!
# Skolem Functions and Downward Löwenheim–Skolem
## Main Definitions
* `first_order.language.skolem₁` is a language consisti... |
b41375e2189e29bac9ff659fd0c2d88ec3276da7 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/polynomial/module.lean | c2d4f4f2744f3fa18f10cbc44c7b8fc55ffd3b69 | [
"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 | 6,626 | 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 ring_theory.finiteness
/-!
# Polynomial module
In this file, we define the polynomial module for an `R`-module `M`, i.e. the `R[X]`-module `M[X]`.
This is define... |
e6734747d3a310da8c94ecfdb45f9884c21f6f18 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/category/CompHaus/projective.lean | 7a9b8800539928c4e08a90124aee96f42e5c7c22 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,202 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.category.CompHaus.basic
import topology.stone_cech
import category_theory.preadditive.projective
/-!
# CompHaus has enough projectives
> THIS FILE ... |
c6742c7af3b16cbef033efebeff4a83f6111e6b7 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/fp/basic.lean | 8fa853a16f80e0e9fed85bd233ba8639a641c006 | [
"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 | 7,005 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Implementation of floating-point numbers.
-/
import data.rat
namespace fp
inductive rmode
| NE -- round to nearest even
class float_cfg :=
(prec emax : ℕ)
(prec_pos... |
7836f2712f9455fc7816974f59ec3ebe90620610 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/types/list.hlean | 41c24cb53b4d74660e692e46ee4bd0a445afac75 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 39,413 | hlean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn
Basic properties of lists.
Ported from the standard library (list.basic and list.comb)
Some lemmas are commented... |
8fb5f66034a87b56f961cf7e449eb21c4facde28 | aa2345b30d710f7e75f13157a35845ee6d48c017 | /logic/schroeder_bernstein.lean | 52a4f5a0c00c431d8e0e96c85454b4f2ff43673a | [
"Apache-2.0"
] | permissive | CohenCyril/mathlib | 5241b20a3fd0ac0133e48e618a5fb7761ca7dcbe | a12d5a192f5923016752f638d19fc1a51610f163 | refs/heads/master | 1,586,031,957,957 | 1,541,432,824,000 | 1,541,432,824,000 | 156,246,337 | 0 | 0 | Apache-2.0 | 1,541,434,514,000 | 1,541,434,513,000 | null | UTF-8 | Lean | false | false | 5,449 | 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
The Schröder-Bernstein theorem, and well ordering of cardinals.
-/
import order.fixed_points data.set.lattice logic.function logic.embedding order.zorn
... |
00ab283bb8c387f1d26346ae3d9ddea99ef9c786 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/category/functor.lean | 52702aa1342340556adc86dc35536023d8401ced | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 1,062 | lean | /-
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch, Sebastian Ullrich, Leonardo de Moura
-/
prelude
import init.core init.function init.meta.name
open function
universes u v
section
set_option auto_p... |
ed24f901b840f47373e16aef8864086c9a044678 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Meta/Closure.lean | b80e5ddfd0633025aa3d5ae8ac6861bbe9503e58 | [
"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 | 14,428 | 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 Std.ShareCommon
import Lean.MetavarContext
import Lean.Environment
import Lean.Util.FoldConsts
import Lean.Meta.Basic
import Lean.Meta.Check
/-
Thi... |
5127df1182c3595afa684185a8d9fd82dbefb7da | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/768.lean | dcea7d200f683417b213d4cc018ee06cdadd7f6e | [
"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 | 245 | lean | import data.set data.finset
open set finset
variables (A : Type) [deceqA : decidable_eq A]
include deceqA
variables s t : finset A
set_option pp.coercions true
set_option pp.notation false
set_option pp.full_names true
check (s ∪ t : set A)
|
14815b1a2723e6d1a254d527fb397243879ba893 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/module/basic.lean | f7d3e1befccefa1edc188e7c9caf74a12af15c21 | [
"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 | 95,234 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov, Frédéric Dupuis,
Heather Macbeth
-/
import topology.algebra.ring.basic
import topology.algebra.mul_action
import to... |
c1c46e1f605c906ce0bc30420882b0b005b887ab | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/pfunctor/multivariate/M.lean | aa4e27e0619315909dee800a4e1768dfbc95f5cc | [
"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 | 11,518 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import data.pfunctor.univariate
import data.pfunctor.multivariate.basic
/-!
# The M construction as a multivariate polynomial functor.
M ... |
e1aee70117959e1f7ac8f21423d4aeede080265e | 93366ecea09eebeeb0b320567c6f71715434c3f0 | /src/bum/bum.lean | 5794e93d2ed0707545a5c43e7f626d25b220f40a | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/bum | 9c1286cedb878c1e14c618e81b33d365f62c8a8a | 18ffb2b46932ba767c50758a93cc99846ef1b46a | refs/heads/master | 1,670,171,693,018 | 1,669,086,393,000 | 1,669,086,393,000 | 205,409,352 | 8 | 6 | null | null | null | null | UTF-8 | Lean | false | false | 2,811 | lean | import bum.io
def getTools (conf : Project) : IO Tools := do
let leanHomeOpt ← IO.getEnv "LEAN_HOME"
match leanHomeOpt with
| some leanHome => do
discard (IO.setEnv "LEAN_PATH" "")
addToLeanPath [ leanHome, "lib", "lean" ].joinPath
let src ← IO.FS.realPath conf.srcDir
addToLeanPath src
disca... |
658041b261ed8aae56f7e166f78487e6a0b44e4e | aa2345b30d710f7e75f13157a35845ee6d48c017 | /data/list/basic.lean | 1d9dc891012edc37df63604106e4e33b60137e63 | [
"Apache-2.0"
] | permissive | CohenCyril/mathlib | 5241b20a3fd0ac0133e48e618a5fb7761ca7dcbe | a12d5a192f5923016752f638d19fc1a51610f163 | refs/heads/master | 1,586,031,957,957 | 1,541,432,824,000 | 1,541,432,824,000 | 156,246,337 | 0 | 0 | Apache-2.0 | 1,541,434,514,000 | 1,541,434,513,000 | null | UTF-8 | Lean | false | false | 183,433 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
Basic properties of lists.
-/
import
tactic.interactive tactic.mk_iff_of_inductive_prop tactic... |
4bc2430aa6c4e6a69c3ae9371b51134fd425b686 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/measure_theory/borel_space.lean | d88d96735c685c229e5e7491da53d9a81ac045c5 | [
"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 | 29,516 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.measurable_space topology.instances.ennreal analysis.normed_space.basic
/-!
# Borel (measurable) space
## Main definitions
*... |
eaa820f7fa577b6a03a2d3ec87ead321c4b69caf | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/analysis/normed_space/operator_norm.lean | 146b6b126a8f0b0ea933d6582760e39b61bb081d | [
"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 | 40,013 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import linear_algebra.finite_dimensional
import analysis.normed_space.riesz_lemma
import analysis.asymptotics
/-!
# Operator norm o... |
f89093d325ce94bc24f44789b11f206c06101677 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/linear_algebra/affine_space.lean | 0c8896a0c7a5024cf03833cb96ac75d695bc00d6 | [
"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 | 27,751 | 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 algebra.add_torsor
import linear_algebra.basis
noncomputable theory
open_locale big_operators
/-!
# Affine spaces
This file defines affine spaces (over modules)... |
f99da1e762a208b6c4f6770a6661e72380b62460 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/mv_polynomial/pderiv.lean | 3abc1097912dab97f46e82d094612c1e62c1b462 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,458 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import data.mv_polynomial.variables
import algebra.module.basic
import tactic.ring
/-!
# Partial derivatives of polynomials
This file defines the notion of the form... |
b0b18fc68fec29a6fe94133b71c39bc420b54265 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/group/pi.lean | 9d28f284a42c0e0a9a99198f3b4a18f8604d17b1 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,832 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import data.pi
import tactic.pi_instances
import algebra.group.defs
import algebra.group.hom
/-!
# Pi instances for groups and monoids
This file defines in... |
09a751ec7b1be85f05da80a32bce8e99f90e0fec | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/tensor_power.lean | abb55292695bc098c44628069fbc74659fb4a671 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 2,531 | 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 linear_algebra.pi_tensor_product
import logic.equiv.fin
import algebra.direct_sum.algebra
/-!
# Tensor power of a semimodule over a commutative semirings
We defin... |
eb5a3e593abd4878900b5a2ba1d7589af255e0a6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/integral_closure.lean | a168ff1259c0df24ecb7d821b00a5b8f76c2bcaa | [] | 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 | 16,831 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.algebra_tower
import Mathlib.ring_theory.polynomial.scale_roots
import Mathlib.PostPort
... |
ee3909afccc6fca3dc8650ff801908a9fcb87bc7 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/missing_mathlib/ring_theory/algebra.lean | bca5aabb91d2bee24d893d0995be51bdf0eb92b8 | [] | 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 | 641 | lean | import ring_theory.algebra
universes u v w u₁ v₁
namespace algebra
variables {R : Type u} {S : Type v} {A : Type w}
variables [comm_ring R] [comm_ring S] [ring A] [algebra R A]
lemma mul_sub_algebra_map_commutes (x : A) (r : R) :
x * (x - algebra_map R A r) = (x - algebra_map R A r) * x :=
by rw [mul_sub, ←comm... |
3784db567ee7441d6035b1d9d0a81a4d0dd5a447 | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/use_cases/arrcp_mcl.lean | fc2783279cccf8fd108a2bf776e4d1b942579ffa | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,365 | lean | /- import mcl
import parlang
open mcl
open mcl.mclk
namespace arrcp_mcl
-- open classical
-- local attribute [instance] prop_decidable
-- instance a : decidable_eq string := sorry
#check ([5] : vector _ _)
def sig : signature --:= λ n, if n = "i" then { scope := scope.tlocal, type := ⟨_, [1], type.int⟩ } else { s... |
1f032f03c12f216023f586c8b26e039a0d10c724 | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /exam_1/exam_1_key.lean | b48755b9af4a72b0fce9052f5d1032e4f475f5d0 | [] | 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 | 11,213 | lean | /-
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 any browser tab you need t... |
d1c445b572fe9dd9ab8f366474b2a33ce93d49fd | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/complex/conformal.lean | 9e8d060c0fb906ffc8fd47392b373c8a31270022 | [
"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 | 4,857 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.complex.isometry
import analysis.normed_space.conformal_linear_map
/-!
# Conformal maps between complex vector spaces
We prove the sufficient and necess... |
2bd10121de68b075812f42c8da9502cb94410ea2 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/module/projective.lean | 0730192a1210812aa4c921f05b658f84995635a6 | [
"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 | 6,834 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import algebra.module.basic
import linear_algebra.finsupp
import linear_algebra.free_module
/-!
# Projective modules
This file contains a definition of a projective... |
24a768a5188b642ac75c7a32e32efc722f2e492a | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/algebra/group/hom.lean | 0137e842f31762159cb2cf0a47a1c8287c78d34b | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 14,381 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
Homomorphisms of multiplicative and additive (semi)groups and monoids.
... |
fb3520c1d2ccdc944ceb8e43248f5ec81f6fc798 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/specbug.lean | 37a191da0cfdf11b2e4829aeb414bff7c3e27b90 | [
"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 | 802 | lean | @[noinline] def f (x : Bool) := x
@[noinline] def g (x y : Bool) := x
def h (x : Bool) (xs : List Nat) : List Bool :=
match x with
| true =>
let z := f true
let y := f false
xs.map fun x => g y z
| false =>
let y := f false
let z := f true
xs.map fun x => g y z
theorem ex1 : h true [1]... |
29416f26c607c3af42c8358205063636a33c9de3 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/logic/basic.lean | 90c9a5c9898a274890f0335f035908d35b9a8402 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 31,859 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import tactic.library_note
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Implementation notes
Theorems th... |
acbf6d6e8dbf51ee04fc5699399359f570420093 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/PrettyPrinter/Delaborator/Basic.lean | ab01388165e28cd8b15692ba34e1720f632a65f9 | [
"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 | 17,709 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The delaborator is the first stage of the pretty printer, and the inverse of the
elaborator: it turns fully elaborated `Expr` core terms back into surf... |
affb270bc781f0433cdbfa89b62c9c1721d8b87d | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/classical.lean | 2b7a8c50c56bd2cc6d81038f3e5cf349c751684b | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 5,721 | 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
-/
prelude
import init.data.subtype.basic init.funext
namespace classical
universes u v
/- the axiom -/
axiom choice {α : Sort... |
e4f6dbc20b7e8fd831b6411c2bfb740fef46c05b | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/instances/complex.lean | 8507e4cc71f8451870d490e407834019d7c4f6cf | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 6,098 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Topology of the complex numbers.
-/
import data.complex.basic
import topology.instances.real
noncomputable theory
open filter metric
open_locale topological_space
name... |
03cb39ca3bd6e494b808d696aa90b6600874e506 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/tactic/aesop/tree.lean | 87312d29f3145bcef3b8764019bc7061169a05fa | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,718 | lean | /-
Copyright (c) 2021 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import tactic.aesop.priority_queue
import tactic.aesop.rule
import tactic.aesop.util
namespace tactic
namespace aesop
open native
/-! ## Node IDs -/
@[derive dec... |
46adb07f2336ae0d4f2eebb69779d66c78330666 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/as_is_leak_bug.lean | 0c51bede19e28b616eacdd9cb02e7e14c1ddfe79 | [
"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 | 218 | lean | section
set_option pp.annotations true
parameters {α : Type} [has_to_string α]
def f (a : α) : string := to_string a
def g := f
def g' := (f, α)
def h := (f, g, g', α)
#print f
#print g
#print g'
#print h
end
|
e01ad2a040d9ae43b89dca12c82bd46cd0f9f151 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/weak_dual.lean | 472fd416adc9c4a4718e1316f63f13c3dcb485a5 | [
"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 | 9,916 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä, Yury Kudryashov
-/
import topology.algebra.module.weak_dual
import analysis.normed_space.dual
import analysis.normed_space.operator_norm
/-!
# Weak dual of normed space
L... |
0b236b466eb42745b99ce31e86da3dee97941d11 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/homotopy/itloc.lean | 5799c489bed573964a7277fa5d369b4b4bf1b66c | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,003 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file formalises some of the combinatorial part of the
paper "Iterated chromatic localization" by Nicola Bellumat and
Neil Strickland (which is in preparation). ... |
1e15cbabbdfc62cdf8fbf088c1ac90acbe28033f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/unfold_rec2.lean | 4f601b92db3ad9ad7022fcbeea034c5605a1b87c | [
"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 | 588 | lean | import data.examples.vector
open nat vector
variable {A : Type}
definition rev : Π {n : nat}, vector A n → vector A n
| ⌞0⌟ [] := []
| ⌞n+1⌟ (x :: xs) := concat (rev xs) x
theorem rev_concat : Π {n : nat} (xs : vector A n) (a : A), rev (concat xs a) = a :: rev xs
| 0 [] a := rfl
| (n+1) (x :: xs... |
e5a72c78433a6f6a4727f231214ea5729287c37d | 4e3bf8e2b29061457a887ac8889e88fa5aa0e34c | /lean/love03_structured_proofs_and_proof_terms_homework_solution.lean | 5f96ec38745cc56bd47753b6875481807477479c | [] | no_license | mukeshtiwari/logical_verification_2019 | 9f964c067a71f65eb8884743273fbeef99e6503d | 16f62717f55ed5b7b87e03ae0134791a9bef9b9a | refs/heads/master | 1,619,158,844,208 | 1,585,139,500,000 | 1,585,139,500,000 | 249,906,380 | 0 | 0 | null | 1,585,118,728,000 | 1,585,118,727,000 | null | UTF-8 | Lean | false | false | 1,105 | lean | /- LoVe Homework 3: Structured Proofs and Proof Terms -/
import .love02_tactical_proofs_exercise_sheet
namespace LoVe
/- Question 2: Logic Puzzles -/
/- 2.2 (**optional**). Prove the same lemma again, this time by providing a
proof term.
Hint: There is an easy way. -/
lemma weak_peirce₂ :
∀a b : Prop, ((((a → ... |
9000d1dddef281c4119363545e0085ae0dbd518a | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/t12.lean | f79c62142100352df85fc98fbb83d9007f5d2498 | [
"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 | 255 | lean | prelude precedence `+` : 65
precedence `*` : 75
constant N : Type.{1}
check λ (f : N -> N -> N) (g : N → N → N) (infix + := f) (infix * := g) (x y : N), x+x*y
constant f : N → N → N
constant a : N
check a+a -- + notation is not available anymore
|
b512fbcfab0df9b7bffe0b193a8844960c3e6d3a | 682dc1c167e5900ba3168b89700ae1cf501cfa29 | /src/del/syntax/syntaxlemmasDEL.lean | 52ea3becf495625461ef61ec2d07186fa85004bc | [] | no_license | paulaneeley/modal | 834558c87f55cdd6d8a29bb46c12f4d1de3239bc | ee5d149d4ecb337005b850bddf4453e56a5daf04 | refs/heads/master | 1,675,911,819,093 | 1,609,785,144,000 | 1,609,785,144,000 | 270,388,715 | 13 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 8,338 | lean | /-
Copyright (c) 2021 Paula Neeley. All rights reserved.
Author: Paula Neeley
Following the textbook "Dynamic Epistemic Logic" by
Hans van Ditmarsch, Wiebe van der Hoek, and Barteld Kooi
-/
import del.languageDEL del.syntax.syntaxDEL data.set.basic
local attribute [instance] classical.prop_decidable
variables {agent... |
e6f8e41950b5d6c50031653b2fe89c501637f6e1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/matrix.lean | a24219638e1b29797032228abbf6f56597ab6a5d | [
"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 | 3,296 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Matrices
-/
import algebra.ring data.fin data.fintype
open fin nat
attribute [reducible]
definition matrix (A : Type) (m n : nat) := fin m → fin n → A
namesp... |
843767d19e6edd8ece4ba6e76d81923bf8980add | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/basic.lean | 5f9b4cc2302a6ce4ac48c3b764c03b68d8866df7 | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,647 | lean | constant A.{l1 l2} : Type.{l1} → Type.{l2}
check A
definition tst.{l} (A : Type) (B : Type) (C : Type.{l}) : Type := A → B → C
check tst
constant group.{l} : Type.{l+1}
constant carrier.{l} : group.{l} → Type.{l}
definition to_carrier (g : group) := carrier g
check to_carrier.{1}
section
variable A : Type
check A... |
c3da4dd3357aa350e2448472baca82eba7c4ec3e | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/meta5.lean | 0d338d5b67896d8fd90e514fbf2bedfe05b61359 | [
"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 | 656 | lean | import Lean.Meta
new_frontend
open Lean
open Lean.Meta
def tst1 : MetaM Unit :=
withLocalDeclD `y (mkConst `Nat) $ fun y => do
withLetDecl `x (mkConst `Nat) (mkNatLit 0) $ fun x => do {
let mvar ← mkFreshExprMVar (mkConst `Nat) MetavarKind.syntheticOpaque;
trace! `Meta mvar;
let r ← mkLambdaFVars #[y, x] mvar;
... |
89bfed3b2c5a2bd0691f36a2cb280593a93610f6 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/tactic/congr.lean | c81c486d366f02c3dc2be7179d72df23f5cab7b1 | [
"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 | 7,504 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.lint
import tactic.ext
/-!
# Congruence and related tactics
This file contains the tactic `congr'`, which is an extension of `congr`, and various ... |
8b3fc2ae7a2b26d4ff1145ba7503d9ca733cb13b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/minpoly/field.lean | dc6c8381ecff9e48e53d58f528266ea58ffb1656 | [
"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 | 11,883 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca, Johan Commelin
-/
import data.polynomial.field_division
import field_theory.minpoly.basic
import ring_theory.algebraic
/-!
# Minimal polynomials on an algebra over a ... |
dddb1c7af7868d152164022694bf8526ed1fb47b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/fixed_points.lean | 99ae88801f222503330c9380ba732f8a99eeaa00 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 9,538 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Yury Kudryashov
-/
import dynamics.fixed_points.basic
import order.hom.order
/-!
# Fixed point construction on complete lattices
> THIS FILE IS SYNCHRONIZE... |
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