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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
be7d20741a847d5449cbc646992b478d8fab7dbb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/category/Profinite/cofiltered_limit.lean | 320c80091dfbbd98f478bff46c86d86380b6e179 | [
"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 | 9,349 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import topology.category.Profinite
import topology.locally_constant.basic
import topology.discrete_quotient
/-!
# Cofiltered limits of profinite sets.
This file contains so... |
f107e39eccd00457f58d7a03789120c89cf83c8a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/fixedIndicesToParams.lean | 8dee734e740a6e6f3fcb7115bf6019ed3ee1f12b | [
"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 | 480 | lean | inductive sublist : List α → List α → Prop
| slnil : sublist [] []
| cons l₁ l₂ a : sublist l₁ l₂ → sublist l₁ (a :: l₂)
| cons2 l₁ l₂ a : sublist l₁ l₂ → sublist (a :: l₁) (a :: l₂)
#print sublist
inductive Foo : List α → Type _ -- Make sure we don't need to use `_` or can use `u`
| mk₁ : Foo []
| mk₂ : (... |
ba770b855b8338481e4d1bce77ac6aae06450959 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Algebra/basic.lean | 09d5cde20ff0fe5022b7bd1c5d8c3183f10ebea4 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 5,392 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.basic
import algebra.algebra.subalgebra
import algebra.free_algebra
import algebra.category.CommRing.basic
import algebra.category.Module.basic... |
232deb606447ca4fe33a082b257c43cebaee45fc | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/add_torsor.lean | 27de0558e93213f119ea53b78c067dd5b9b963c0 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 7,225 | 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.group.basic
/-!
# Torsors of additive group actions
This file defines torsors of additive group actions.
## Notations
The group elements are referred t... |
f29c7c99eba8f0f46d24aeebb2cbc92f93b5cd91 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/tc_eta_struct_issue.lean | d4b085bfbdab0eadb10ecaacc5c67118b652b457 | [
"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 | 494 | lean | def Op1 (F : Type u → Type v) α := F α
namespace Op1
instance {F} [Functor F] : Functor (Op1 F) where
map := @Functor.map F _
instance {F} [Functor F] [H : LawfulFunctor F] : LawfulFunctor (Op1 F) :=
sorry
variable {F} [Applicative F]
instance : Applicative (Op1 F) where
pure := pure (f := F)
seq f x := ((λ ... |
45083f0ca04fffd9c6b311cd7b72bcc98991b511 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab_meta2.lean | 889dbbe142ee1d2e2fe5d0494cb3ec37ee63b577 | [
"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 | 879 | lean | #print "parametric meta definition"
meta definition f {A : Type} : nat → A → A → A
| n a b := if n / 2 = 0 then a else f (n / 2) b a
#eval
if f 10 1 2 = 2 then "OK" else "FAILED"
namespace foo
#print "parametric meta definition inside namespace"
meta definition bla {A : Type} : nat → A → A → A
| n a b := if n / 2 = ... |
9aa2721a5d9688aeede825456f98fd3d2cee7a16 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/inner_product_space/orientation.lean | db8a8457ae7c71e11f1b5b38eb137cc239a131da | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 14,836 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Heather Macbeth
-/
import analysis.inner_product_space.gram_schmidt_ortho
import linear_algebra.orientation
/-!
# Orientations of real inner product spaces.
> THIS FILE I... |
834161eaa8a2013e0b95b0d4cec63e1e0d4f19fe | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Elab/StructInst.lean | 292bd23cbc1944dff82e4e4704798e32cd6bd61f | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,440 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindExpr
import Lean.Elab.App
import Lean.Elab.Binders
import Lean.Elab.Quotation
namespace Lean.Elab.Term.StructInst
open Std (HashMap)
... |
bf34cdf2a97d7c0f55e9c27a59848fca1e5fb3dc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/with_zero.lean | 41b268e6c30e208ce8de5b8b86be57ae577a3f3c | [
"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 | 10,312 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin, Patrick Massot
-/
import algebra.hom.equiv.units.group_with_zero
import algebra.group_with_zero.inj_surj
import algebra.order.group.units
import algebra.order.mon... |
d47fd7eb51a3fa90b1a968a81ef7eefed42f62f2 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/continuous_on.lean | 6803fb0a04f77d174e401be380ff118f1da06098 | [
"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 | 46,139 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
* `nhds_within` of `nhds`
* `co... |
9d141359399cf575fffd2c391872e6c3d84dc645 | 67190c9aacc0cac64fb4463d93e84c696a5be896 | /Exercises/Tatics.lean | f2bc2c47489480338b358b315c897b51a8899c7e | [] | no_license | lucasresck/Discrete-Mathematics | ffbaf55943e7ce2c7bc50cef7e3ef66a0212f738 | 0a08081c5f393e5765259d3f1253c3a6dd043dac | refs/heads/master | 1,596,627,857,734 | 1,573,411,500,000 | 1,573,411,500,000 | 212,489,764 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 520 | lean | theorem exercise {U : Type} {A B : set U} : (A \ B) ∪ (B \ A) ⊆ (A ∪ B) \ (A ∩ B):=
begin
intros x h1,
cases h1 with h1 h2,
cases h1 with h3 h4,
apply and.intro,
exact or.inl h3,
intro h5,
have h6, from h5.right,
exact h4 h... |
06f316b0f455a585862799ef8119ec7474e1f0f4 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/group/units.lean | 2b310f0ede96edaa17563acb410222a5a73e4a09 | [
"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 | 7,486 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes, Hölzl, Chris Hughes
-/
import tactic.basic logic.function algebra.group.to_additive
/-!
# Units (i.e., invertible elements) of a multiplicative monoid
... |
d588569bd7861c73cb41ea992d22be0fba57447c | 1dd482be3f611941db7801003235dc84147ec60a | /src/ring_theory/algebra.lean | 8994c82a78aaad15832bf8db4a69c41d50b67a36 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 18,623 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Algebra over Commutative Ring (under category)
-/
import data.polynomial
import linear_algebra.multivariate_polynomial
import linear_algebra.tensor_product
import ring_theory.su... |
327cb9d514b860b14de677d3e9b0371d05c35868 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/algebra/ordered_ring.lean | 2cb8032408d7f781d2c6b08a6f9a52dc772d4668 | [
"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 | 17,748 | 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.basic algebra.order algebra.ordered_group algebra.ring data.nat.cast
local attribute [instance, priority 0] nat.cast_coe
universe u
variable {α : Type u... |
543e8ea21ed6330d3c22a71555315238c98a5c1d | 6b10c15e653d49d146378acda9f3692e9b5b1950 | /examples/logic/unnamed_408.lean | 270d2e6734143e302197073ebec15dc6f0cde4a2 | [] | no_license | gebner/mathematics_in_lean | 3cf7f18767208ea6c3307ec3a67c7ac266d8514d | 6d1462bba46d66a9b948fc1aef2714fd265cde0b | refs/heads/master | 1,655,301,945,565 | 1,588,697,505,000 | 1,588,697,505,000 | 261,523,603 | 0 | 0 | null | 1,588,695,611,000 | 1,588,695,610,000 | null | UTF-8 | Lean | false | false | 154 | lean | variables A B : Prop
-- BEGIN
example : (A → B) → ¬ B → ¬ A :=
begin
intros h₁ h₂ h₃,
apply h₂,
apply h₁,
apply h₃
end
-- END |
11e09a860feaecacccb4b19625626fab50701b06 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/field_theory/galois.lean | 55173caf0eee13deea8b72bf0a4732e62e426f23 | [
"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 | 18,828 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.normal
import field_theory.primitive_element
import field_theory.fixed
import ring_theory.power_basis
/-!
# Galois... |
ea98bbff87f15a0985e59b75dd473b6e97bbbe3e | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/extra/eqn_macro1.lean | 2c753a387a43177f39fd45c3b80ef25e751c873e | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 125 | lean | open nat
notation `foo` a :=
match a with
(c, d) := c + d
end
eval foo (2, 3)
notation `bla` a `with` H := a ↓ H
|
6744c776499138bb582c416bd20c3e25df9a3010 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/squeeze.lean | f2b9d01add632fa6feaf20c80cecec0515a66ca8 | [
"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 | 2,200 | lean | import data.nat.basic
import data.pnat.defs
import tactic.squeeze
namespace tactic
namespace interactive
setup_tactic_parser
/-- version of squeeze_simp that tests whether the output matches the expected output -/
meta def squeeze_simp_test
(key : parse cur_pos)
(slow_and_accurate : parse (tk "?")?)
(use_iota_e... |
6954691fdccb7bd6ad0489a25db030754c8650b9 | 137c667471a40116a7afd7261f030b30180468c2 | /src/data/multiset/basic.lean | acb35429cff4b4a7faa7ce34c3c30e27e30d8126 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 98,194 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.perm
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the global infix notation `::ₘ` f... |
5786b4fefadfb2fedab25e820fd3e11d07ead45e | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/unused_univ.lean | 664a4ac2f4e296def5d553627e13592e8eaf0c1c | [
"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 | 274 | lean | --
variable (y : Nat)
def f.{u} (x : Nat) : Nat := -- error unused universe parameter 'u'
x
universes u
def f.{v, w} (α : Type v) (a : α) : α := -- error unused universe parameter 'w'
a
axiom f.{w} (α : Type u) (a : α) : α -- error unused universe parameter 'w'
|
71f3074d3aff3d520bb6c3c488edc799a2bc1260 | 2d34dfb0a1cc250584282618dc10ea03d3fa858e | /src/Mbar/Mbar_le.lean | 757973db3372c72068d188f1c90e4eda5a6e13fe | [] | 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 | 17,829 | lean | import data.fintype.card
import for_mathlib.normed_group
import Mbar.basic
/-!
## $\overline{\mathcal{M}}_{r'}(S)$
This file contains a definition of ℳ-barᵣ'(S) as defined on p57 of Analytic.pdf .
## Implementation issues
We model Tℤ[[T]] as functions ℕ → ℤ which vanish at 0.
-/
universe u
noncomputable theor... |
197ce97921dd9f0b4c7b5e53cfb9cfb76fdd8dc5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/nodup_equiv_fin_auto.lean | 7f66fe4263fa1056d262505fe849a7681c590e1c | [] | 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 | 3,111 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.sort
import Mathlib.data.fin
import Mathlib.PostPort
universes u_1
name... |
772d734e880cefbc5f07554def22226fddc51b85 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /src/bvm_extras.lean | 5d8c3c736bd7941943b1aea5e842839722c016bc | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 143,195 | lean | /-
Copyright (c) 2019 The Flypitch Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jesse Han, Floris van Doorn
-/
import .bvm
open lattice
universe u
local infix ` ⟹ `:65 := lattice.imp
local infix ` ⇔ `:50 := lattice.biimp
local prefix `p𝒫`:65 := pSet.p... |
0bb7a78e3808c563a239b17260181f53aa7f833d | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170218-monoidal-category-of-types-without-extends.lean | 7b47b56987e8eefb2c260566e5f14943792e2b0c | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 16,160 | lean | open tactic
open smt_tactic
def pointwise_attribute : user_attribute := {
name := `pointwise,
descr := "A lemma that proves things are equal using the fact they are pointwise equal."
}
run_command attribute.register `pointwise_attribute
/- Try to apply one of the given lemas, it succeeds if one of them succeeds.... |
1040c262ade108abf4dd1d92a7e98b11558e7e09 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/order_dual.lean | 7c1d85f2469199c951469d591561a3dd2e08da1d | [
"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 | 3,051 | lean | /-
Copyright (c) 2020 Johan Commelin, Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Damiano Testa
-/
import data.equiv.basic
import logic.nontrivial
import order.basic
/-!
# Initial lemmas to work with the `order_dual`
## Definitions
`... |
22dad48c9be9178fe019194d76d3a51cc7184c8f | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/computability/partrec.lean | 4f9b7c202e83818cdb6d42c727f18f00b9371faa | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,035 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import computability.primrec
import data.nat.psub
import data.pfun
/-!
# The partial recursive functions
The partial recursive functions are defined similarly to th... |
9063386f386aff4cd9fa7ed752050a9781433066 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/real/sqrt.lean | d9ef92026525dc865fde4141276998e04361fa2f | [
"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 | 13,634 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn, Yury Kudryashov
-/
import topology.algebra.order.monotone_continuity
import topology.instances.nnreal
import tactic.positivity
/-!
# Square root of a... |
7aa551b5988a78201ec1d9cd5ff88b03bfca48ae | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /archive/sensitivity.lean | c60d6d4fd856cb2873c6a98c7e32a3293cdfa871 | [
"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 | 15,521 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis,
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, Patrick Massot
-/
import tactic.fin_cases... |
a1e5034a5cd4ed0efe415748b13bf80ae6558273 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_2462.lean | 5af927de270f7fdad92900e5cec89825952fb797 | [] | 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 | 980 | lean | import data.real.basic
def converges_to (s : ℕ → ℝ) (a : ℝ) :=
∀ ε > 0, ∃ N, ∀ n ≥ N, abs (s n - a) < ε
theorem converges_to_const (a : ℝ) : converges_to (λ x : ℕ, a) a :=
sorry
variables {s t : ℕ → ℝ} {a b : ℝ}
theorem converges_to_add
(cs : converges_to s a) (ct : converges_to t b):
converges_to (λ n, s n +... |
8bb2b933046156d65383c6c3d9b6a408567197f5 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/polynomial/dickson.lean | a8b81b30c21fcd6d773c17e33521b817895f6e8e | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 10,683 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.char_p.invertible
import data.zmod.basic
import field_theory.finite.basic
import ring_theory.localization.fraction_ring
import ring_theory.poly... |
f13f492d04b4e23509ea61111eab43e4ece78617 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/PrettyPrinter.lean | 64d6fcb530dbfc45849afeece0a4cb24060486f4 | [
"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 | 53 | lean | prelude
import Init.Lean.PrettyPrinter.Parenthesizer
|
09701d39ee989f2de6189e718503b5a8a379a508 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/reflected.lean | 2d845ded46bf83793012f0eef003dd092aa35463 | [
"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 | 163 | lean | meta def eval_list (α : Type) [reflected _ α] (e : expr) : tactic (list α) :=
tactic.eval_expr (list α) e
run_cmd eval_list ℕ ↑`([1, 2]) >>= tactic.trace
|
02ccd06e2101f532e01c2cf3b8d21503ea93e399 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/geometry/euclidean/monge_point.lean | 9a2ba11034c7d14744996b8d89f0b1bb7b1863d7 | [
"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 | 38,351 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.circumcenter
/-!
# Monge point and orthocenter
This file defines the orthocenter of a triangle, via its n-dimensional
generalization, the Mong... |
5115f40284680af58279c3f3349b2d24fdc13edd | 0d4c30038160d9c35586ce4dace36fe26a35023b | /src/tactic/norm_cast.lean | 447da4bb3c81c49702efba863f4632262fe04c1b | [
"Apache-2.0"
] | permissive | b-mehta/mathlib | b0c8ec929ec638447e4262f7071570d23db52e14 | ce72cde867feabe5bb908cf9e895acc0e11bf1eb | refs/heads/master | 1,599,457,264,781 | 1,586,969,260,000 | 1,586,969,260,000 | 220,672,634 | 0 | 0 | Apache-2.0 | 1,583,944,480,000 | 1,573,317,991,000 | Lean | UTF-8 | Lean | false | false | 14,534 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine
Normalizing casts inside expressions.
-/
import tactic.basic tactic.interactive tactic.converter.interactive
import data.buffer.parser
namespace tacti... |
6618b5dad743cc1612ec66a316bbd5893d765539 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Server/Completion.lean | 736b9d53ac93aab494048f99fef5aa04b9c68aa4 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 17,506 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Environment
import Lean.Parser.Term
import Lean.Data.Lsp.LanguageFeatures
import Lean.Meta.Tactic.Apply
import Lean.Meta.Match.MatcherInfo
impor... |
feacb2b03ced22dd9e4563769271ab16fe3f8589 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/qsort64.lean | 6f731d8136d4f4d52b59835ec3a68888abaab25d | [
"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 | 232 | lean | -- set_option trace.compiler.ir.boxing true
def main (xs : List String) : IO Unit :=
do
let a := xs.head.toNat.fold (fun i (a : Array UInt64) => a.push (UInt64.ofNat i)) Array.empty;
IO.println $ (a.qsort (fun x y => x > y)).get 0
|
4b0edf8efe6dc72aee186ac08d7476743e0132b2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/list_summands.lean | 61448f23945b822b0e3dd660d62ed81b68abe4e8 | [
"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 | 711 | lean | import tactic.core
import data.matrix.basic
section tactic
open tactic
#eval show tactic unit, from do
ops ← list_binary_operands `(@has_add.add ℕ _) `(3 + (4 * 5 + 6) + 7 / 3),
guard $ ops = [`(3), `(4*5), `(6), `(7/3)]
#eval show tactic unit, from do
ops ← list_binary_operands `(@list.append ℕ) `([1, 2] ++ [... |
e318bf08001134e686db81dda552a5d55778b071 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.24.lean | b34096070b5cdf846fca64e7ead93044fe39f7e1 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 163 | lean | /- page 85 -/
import standard
namespace hide
-- BEGIN
inductive subtype {A : Type} (P : A → Prop) : Type :=
tag : Π x : A, P x → subtype P
-- END
end hide
|
d4ff8b1ebfed67c6b630ffcd39a28bd30a400504 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/loop1.lean | c70e77d642241d54cec021908b53e76cf70ec59c | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 463 | lean | (*
-- This example ask uses the parses to process a Lean string that
-- contains a nested script block. The nexted script block will
-- invoke the leanlua_state recursively. It also demonstrates that we
-- need to use std::recursive_mutex instead of std::mutex at
-- leanlua_state. Otherwise, it will deadlock tryin... |
ee8429c990844d1db7e1400109779577d097dc52 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/simp4.lean | 30352a58b437223751a57cd9ce29107c1d5b67be | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,536 | lean | constant f : Nat → Nat
constant q : Nat → Prop
constant r : Nat → Prop
@[simp] axiom ax1 (p : Prop) : (p ∧ True) ↔ p
@[simp] axiom ax2 (x : Nat) : q (f x)
@[simp] axiom ax3 (x : Nat) : ¬ r (f x)
@[simp] axiom ax4 (p : Prop) : (p ∨ False) ↔ p
theorem ex1 (x : Nat) (h : q x) : q x ∧ q (f x) := by
simp [h]
theorem ex... |
c2727be378ae8f6c4eab76e77d5011c3ae644f6a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /counterexamples/girard.lean | de764493e7027f8d7efedacc3ad11845f91d3dff | [
"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 | 2,343 | lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.basic
/-!
# Girard's paradox
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
Girard's pa... |
4044b5ca973ae76e506e13d3ab28cb3b5ddc0681 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/analysis/mean_inequalities.lean | ea2cd1f7c9354c173f8ef7e12b2d31b98c88e8e1 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,550 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import analysis.convex.specific_functions
import analysis.special_functions.pow
import data.real.conjugate_exponents
import tactic.... |
bee021dcdbad8290bce0c7deb4c0541c93cc123c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/int/preterm_auto.lean | 1380b45a1262ce1d0b9e50dfb00f144ad7be798d | [] | 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 | 1,678 | 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
universes l
namespace Mathlib
/-
Linear integer arithmet... |
6b64342a6ee8d0add259d551c5abede97ef3b62e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/331.lean | 29cbe3824be1775e1064270b67c7da0c5cb1fca5 | [
"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 | 309 | lean | namespace nat
inductive less (a : nat) : nat → Prop
| base : less (succ a)
| step : Π {b}, less b → less (succ b)
end nat
open nat
check less.rec_on
namespace foo1
protected definition foo2.bar : nat := 10
end foo1
example : foo1.foo2.bar = 10 :=
rfl
open foo1
example : foo2.bar = 10 :=
rfl
|
b072f52a20a6f311b965e8b0c51efab0ee52939d | 37fa6e77734d3aca013fed5a19c4ee1fe1c38857 | /library/init/meta/interactive.lean | a01e3d359731455d5db0947ecdc84d8262d34cd7 | [
"Apache-2.0"
] | permissive | gazimahmud/lean | 8736ac0b0289850b4c7e7600604e2ce9fc8606ad | 08495eef27b33f68dfc681e3bcab23b4771cbf03 | refs/heads/master | 1,611,158,659,846 | 1,498,642,351,000 | 1,498,671,799,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,967 | 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.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
69db7cc469a32a4a31623cb6a8cd5c9313db584a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/single_obj.lean | b4edd3c4053246df7edf96f6dcabaa40284558fd | [
"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 | 6,377 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.endomorphism
import category_theory.category.Cat
import algebra.category.Mon.basic
/-!
# Single-object category
Single object category with... |
1a30ab0faf3878c0e7449c2a6e0671122f382c0b | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/topology/algebra/ordered.lean | fab7562a4c8f66b4863e167b0ee77335c3b9e5cb | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 88,284 | 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, Yury Kudryashov
-/
import tactic.tfae
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
/-!
# Theory of topology on or... |
47095b35e36fb6b2ebe6fea71b9767bfb20afdd6 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/box_integral/integrability.lean | 4573252fca6dd0b0c32ed83df553c5c314f409bf | [
"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 | 17,862 | 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 analysis.box_integral.basic
import measure_theory.measure.regular
/-!
# McShane integrability vs Bochner integrability
In this file we prove that any Bochn... |
c83480465af21f83ecc5fbbed755b8c35aafb31d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/extensibleTacticBug.lean | eeee29bfc11ba20b27da24cbdfe8362d471b856c | [
"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 | 475 | lean | syntax "my_trivial" : tactic -- extensible tactic
macro_rules | `(tactic| my_trivial) => `(tactic| decide)
macro_rules | `(tactic| my_trivial) => `(tactic| assumption)
def f (a : Nat) (h : a > 3) := a
example : True := by
have : f 4 (by my_trivial) = 4 := rfl
constructor
example : True :=
have : f 4 (by my_tr... |
4fa6e783480d84c015084399d71b0cb6142b19fc | 46125763b4dbf50619e8846a1371029346f4c3db | /src/deprecated/group.lean | f6a00161a83cdacbea18ac0825093eb2973b3242 | [
"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 | 12,541 | lean | import algebra.group.type_tags algebra.group.is_unit
/-!
# Unbundled monoid and group homomorphisms (deprecated)
This file defines typeclasses for unbundled monoid and group homomorphisms. Though these classes are
deprecated, they are still widely used in mathlib, and probably will not go away before Lean 4
because L... |
a448f8fb05ee0f3ddf66842141c956f8a04bb862 | 1789ef53372ad44b5ce5db2341556f91c8c31395 | /src/evne_odd.lean | 6dca5f0e2b3de7418170620e6a358a9008454ae7 | [] | no_license | iceplant/Mermin_Peres | d0a0f4c9f27111b3fee4e0ab5119ef1eafc59dc2 | d7ea59b5767157420b0fae9dfc09f22ad2826564 | refs/heads/master | 1,609,583,206,767 | 1,582,220,678,000 | 1,582,220,678,000 | 239,577,114 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 215 | lean | import data.nat.basic
inductive is_odd : ℕ → Prop
| one : is_odd 1
| step{n} : is_odd n → is_odd (n+2)
inductive is_even : ℕ → Prop
| one : is_even 0
| step{n} : is_even n → is_even (n+2)
|
9e3268511dddf25482c476422a72da9019887815 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/recInfo1.lean | 58758c0c688df07f46f70a87d75a9c53080ca96c | [
"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 | 537 | lean | import Lean.Meta
new_frontend
open Lean
open Lean.Meta
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def showRecInfo (declName : Name) (majorPos? : Option Nat := none) : MetaM Unit := do
let info ← mkRecursorInfo declName majorPos?
print (toString info)
set_option trace.Meta true
set_option tr... |
14fe73524388620c40507584d9bb13c64d86db81 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/biproducts.lean | bef019a696072eb0a32da429e5c6b5642c789c7f | [
"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 | 66,793 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Jakob von Raumer
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.kerne... |
a5616f71d6654197afc7b108822b6c05df0535b5 | 5d76f062116fa5bd22eda20d6fd74da58dba65bb | /src/snarks/sonic/knowledge_soundness.lean | 7acc25c471978caefac28075c65e5e2e76dfdd9d | [] | no_license | brando90/formal_baby_snark | 59e4732dfb43f97776a3643f2731262f58d2bb81 | 4732da237784bd461ff949729cc011db83917907 | refs/heads/master | 1,682,650,246,414 | 1,621,103,975,000 | 1,621,103,975,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,105 | lean | /-
Author: Bolton Bailey
-/
import data.mv_polynomial.basic
import data.mv_polynomial.comm_ring
import data.polynomial.div
import data.polynomial.field_division
import algebra.polynomial.big_operators
import .vars
import ...polynomial_tactic
-- import ...general_lemmas.sub_for_mv_polynomial
/-!
# Knowledge Soundness
... |
25259d304213efdcccd9536de9d3e46c04db32f9 | 5a5e1bb8063d7934afac91f30aa17c715821040b | /lean3SOS/src/lib/diagdom.lean | 84b01522ca1bddaaeed317f734c684c9053cfe9b | [] | no_license | ramonfmir/leanSOS | 1883392d73710db5c6e291a2abd03a6c5b44a42b | 14b50713dc887f6d408b7b2bce1f8af5bb619958 | refs/heads/main | 1,683,348,826,105 | 1,622,056,982,000 | 1,622,056,982,000 | 341,232,766 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,768 | lean | /-
Definition of diagonally dominant matrices and tactic.
-/
import data.matrix.basic
import data.matrix.notation
import data.rat.basic
import data.finset.basic
import tactic.fin_cases
import tactic.linarith
open_locale big_operators
def diagdom {n : ℕ} (A : matrix (fin n) (fin n) ℚ) : Prop :=
∀ i, (∑ j, if i ≠... |
2ad0ba1a793d5fca3bca23a4a2250221c2e5f1d6 | 843cffbd2a25fd01677509247a92e9e8b33bec48 | /4. Quantifiers and Equality.lean | 89e773c4c5f3cc69f772fbbb6df8eb87b6144d25 | [] | no_license | AlexandruBosinta/MyLeanPlayground | 9a78eba4a5c7a2b82edf84e1794a966f53f06c4f | 5dc50a590d784bfc27e7fb37b6361a6dcc1b2790 | refs/heads/master | 1,586,230,010,351 | 1,542,487,422,000 | 1,542,487,422,000 | 158,016,626 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,427 | lean | universe u
--variables (α : Type u) (p q : α → Prop) (r : α → α → Prop)
--example : (∀ x : α, p x ∧ q x) → ∀ y : α, p y := λ h x, (h x).left
--variable refl_r : ∀ x, r x x
--variable symm_r : ∀ {x y}, r x y → r y x
--variable trans_r : ∀ {x y z}, r x y → r y z → r x z
--variables a b c : α
--variables (ha... |
e84fd31924f8314a500d9f184a1e9d5803c3eef2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/complete_lattice_intervals.lean | 5f4c5a5e0bf6b438704a9e3f07e566a0e5e38e26 | [
"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 | 5,904 | lean | /-
Copyright (c) 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import order.conditionally_complete_lattice.basic
import data.set.intervals.ord_connected
/-! # Subtypes of conditionally complete linear orders
In this file we g... |
ad8b0c38a5355b8500b92611ebd7ebfacdf0e9c4 | 33340b3a23ca62ef3c8a7f6a2d4e14c07c6d3354 | /logic.lean | 6f0e27a5b83db854553d8b2dd2aa75842712e8b4 | [] | no_license | lclem/cooper | 79554e72ced343c64fed24b2d892d24bf9447dfe | 812afc6b158821f2e7dac9c91d3b6123c7a19faf | refs/heads/master | 1,607,554,257,488 | 1,578,694,133,000 | 1,578,694,133,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,035 | lean | import logic.basic
lemma or_iff_or {p p' q q' : Prop} :
(p ↔ p') → (q ↔ q') → ((p ∨ q) ↔ (p' ∨ q')) :=
begin
intros hp hq, rewrite hp, rewrite hq
end
lemma and_iff_and {p p' q q' : Prop} :
(p ↔ p') → (q ↔ q') → ((p ∧ q) ↔ (p' ∧ q')) :=
begin intros hp hq, rewrite hp, rewrite hq end
lemma iff_of_left_of_right... |
adf8e5d307711c41aae35f4ab02e5c34cdeab3db | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/complete_field.lean | d4d207ca1a804ed05095c30ec13103b1354c5ddb | [
"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 | 13,200 | lean | /-
Copyright (c) 2022 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best, Yaël Dillies
-/
import algebra.order.hom.ring
import algebra.order.pointwise
import analysis.special_functions.pow.real
/-!
# Conditionally complete linear ordered fields
... |
bdedfdfdeb18a0415f48e563075e43ea79942734 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Util/MonadBacktrack.lean | b9e952a08bcffadab673a3187d7bdc1bb8cb16a7 | [
"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 | 1,226 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
namespace Lean
/-- Similar to `MonadState`, but it retrieves/restores only the "backtrackable" part of the state -/
class MonadBacktrack (s : outParam Typ... |
d8c96fe4a395027672daae93d1de11a7fa1e075e | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/sesquilinear_form.lean | 7bcac0726ee7e01250a6bb8c5dec02d19f1af8ad | [
"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 | 12,203 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import ring_theory.ring_invo
import algebra.module.linear_map
import tactic.abel
/-!
# Sesquilinear form
This file defines a sesquilinear form over a module. Th... |
077810327cd852969d72103353eaa18ab95fa194 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/dense_embedding.lean | aa079d29f3b99ac4a02f609ceca8246a8e87535d | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 12,907 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
import topology.bases
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_rang... |
624bad98d3fc81e638186817d6737c5e2f1728c6 | 48f4f349e1bb919d14ab7e5921d0cfe825f4c423 | /fabstract/Bauer_A_InjBaireNat/realizability.lean | c6234e2ff532689b37e548215352fce54dfcfeab | [] | 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 | 686 | lean | -- the folklore does not yet contain anything about realizability toposes,
-- so we include partial formalization here. Eventually this should be
-- moved to folklore.
import meta_data
.toposes
run_cmd tactic.skip -- temporary fix
-- TODO (@andrejbauer): give real descriptions and dois
-- missing definition o... |
df90d4ccfa2cbdf4af1ac84dd79d5ed7cc861059 | ac89c256db07448984849346288e0eeffe8b20d0 | /stage0/src/Lean/Elab/Open.lean | a00bec0cbefdc20ab17134db9fbc7e319f95da6c | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,041 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Log
namespace Lean.Elab
namespace OpenDecl
variable [Monad m] [STWorld IO.RealWorld m] [MonadEnv m]
variable [MonadExceptOf Exception m] ... |
cdd517357d3abe4d8a6487dfa2461cb4bb7bddbb | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/bad_simp2.lean | e85b1dfdb69563cc75eb2b80128f5ad5634847d0 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,413 | lean | import tactic
universe U >= 2
variable f (A : (Type 1)) : (Type 1)
axiom Ax1 (a : Type) : f a = a
rewrite_set S
add_rewrite Ax1 eq_id : S
theorem T1a (A : Type) : f A = A
:= by simp S
-- The following theorem should not be provable.
-- The axiom Ax1 is only for arguments convertible to Type (i.e., Type 0)
-- The argum... |
64be581d1151734d84916f5ad6711939702aed49 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/eqn_compiler_ctor.lean | 91125dd06bbda9984cbccf6c14dc5c0f0a5bfa08 | [
"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 | 165 | lean | inductive term
| var : ℕ → term
| app : term → term → term
| abs : term → term
open term
def subst : ∀ σ : ℕ → term, term → term
| var := sorry
|
d9ae27658672767df79119413f49b116a6ebf2c6 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/order/order_iso_nat.lean | 94922d9c54853551275e69229623dae5dcbd6c8e | [
"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 | 1,630 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.nat.basic
import order.order_iso
namespace order_embedding
variables {α : Type*} {r : α → α → Prop}
def nat_lt [is_strict_order α r] (f : ℕ → α) (H : ∀ ... |
4e85992bc1e65c54eed9dfe494b69cddedcb5a3b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/preadditive/biproducts.lean | 8f8c976b4e8530c35c5c1a41c3af1d4541bf4c95 | [
"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 | 11,193 | 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 tactic.abel
import category_theory.limits.shapes.biproducts
import category_theory.preadditive
/-!
# Basic facts about morphisms between biproducts in preaddi... |
35b2989e15322977ecc19141150efab2c7cd7e1e | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /AMC_2021_A_22.lean | afa128621a91ea60fc6e5f3dccdf3173d50d788d | [] | 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 | 358 | lean | import data.complex.exponential
import algebra.polynomial.big_operators
import analysis.special_functions.trigonometric.basic
theorem AMC_2021_A_22 (a b c :ℝ)(P:ℝ → ℝ)
(hP: ∀ (x:ℝ), P x = x^3+a*x^2*b*x+c)
(hroots:(P (real.cos 2*real.pi/7) = 0)∧(P (real.cos 4*real.pi/7) = 0)∧(P (real.cos 6*real.pi/7) = 0)):
a*b*c = 1/3... |
786ba99b0dfb512072fce45622c11f407e14bc93 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/doc_strings.lean | 5ea51384b7049da12ba4aef681821000538fd489 | [
"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 | 378 | lean | /-! This module has a doc.. -/
/-! ..or two. -/
inductive foo : Type
/-- Makes foo. -/
| a : foo
/-- Makes foo of foo. -/ | b : foo -> foo
/-- Doesn't make foo. -/
constant two : nat
open tactic
run_cmd doc_string `foo.a >>= trace
run_cmd doc_string `foo.b >>= trace
run_cmd doc_string `two >>= trace
run_cmd olean_d... |
2f1336655e0509d69ea544e861c65e5f902f9a15 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Elab/DefView.lean | a504fa5db49779e19e1a87a3ca73244a0f147103 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,244 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Std.ShareCommon
import Lean.Util.CollectLevelParams
import Lean.Util.FoldConsts
import Lean.Elab.CollectFVars
import Lean.Elab.Com... |
a53d332910d487c1743f5c4553bc3f3e29548394 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /old_library/init/nat.lean | a261dd23518e7a9db04aad7dbb198567f8b2a0bf | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,808 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.relation init.num
notation `ℕ` := nat
namespace nat
protected theorem zero_add : ∀ n : ℕ, 0 + n = n
| 0 := r... |
8bd52c584d3abdb5c25487452f94f4458b585135 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/lint/default.lean | 0fa2db693e136a10fc262d80a51d19fbaa423ad2 | [
"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 | 4,253 | 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, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.frontend
import tactic.lint.simp
import tactic.lint.type_classes
import tactic.lint.misc
open tactic
add_tact... |
0ec7f26da7fe46e91a89359077ecbacaac059f0c | 137c667471a40116a7afd7261f030b30180468c2 | /src/group_theory/order_of_element.lean | 91316fb5d52fb59ecb1540de6f8c622e1f506fd4 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,412 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Julian Kuelshammer
-/
import algebra.pointwise
import group_theory.coset
import dynamics.periodic_pts
import algebra.iterate_hom
/-!
# Order of an element
This file d... |
74fce969664b6de45946d6183d3eaeaa41afcba0 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/theories/group_theory/cyclic.lean | 4a1130fd95534d34502bc9b89f1abcf00e217d25 | [
"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 | 15,862 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import data algebra.group algebra.group_power .finsubg .hom .perm
open function finset
open eq.ops
namespace group_theory
section cyclic
open nat fin list
local attr... |
12533a93650fd97738a3ca0c34641cf554ed2fec | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/structInst3.lean | ab7fd3329573ec2d545049417d161a7d8da8c2c5 | [
"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 | 460 | lean | universes u
namespace Ex1
structure A (α : Type u) :=
(x : α) (f : α → α := λ x => x)
structure B (α : Type u) extends A α :=
(y : α := f (f x)) (g : α → α → α := λ x y => f x)
structure C (α : Type u) extends B α :=
(z : α := g x y) (x := f z)
end Ex1
new_frontend
open Ex1
def c1 : C Nat := { x := 1 }
#check {... |
ff76985d11270c95a7eea2cfb3d227f7dfa74d04 | 5f83eb0c32f15aeed5993a3ad5ededb6f31fe7aa | /lean/src/bv/helper.lean | 40d8bdf011173a1450ec61931fc1505018c9cad8 | [] | no_license | uw-unsat/jitterbug | 45b54979b156c0f5330012313052f8594abd6f14 | 78d1e75ad506498b585fbac66985ff9d9d05952d | refs/heads/master | 1,689,066,921,433 | 1,687,061,448,000 | 1,688,415,161,000 | 244,440,882 | 46 | 5 | null | null | null | null | UTF-8 | Lean | false | false | 586 | lean | import tactic.basic
import tactic.linarith.frontend
import tactic.ring_exp
namespace bv.helper
open nat
lemma pow2_succ (n : ℕ) : 2^(succ n) = 2 * 2^n :=
by simp [pow_succ, mul_comm]
lemma pow2_pos (n : ℕ) : 2^n > 0 :=
pow_pos two_pos n
@[simp]
lemma bit_div_two (b : bool) (n : ℕ) : bit b n / 2 = n :=
by rw [← nat.... |
36577a02127dcd6dbd6e8744fe181432deaecfdc | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/semantics/with_congruence.lean | c6c7602c9dbffecaec5c1ae6797e54db2695928a | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,627 | lean | import data.cpi.semantics.relation
namespace cpi
namespace congruence
variables {ℍ : Type} {ω : context}
open_locale congruence
open species.equiv
axiom prime_decompose_parallel {Γ} (A B : species ℍ ω Γ) : prime_decompose (A |ₛ B) = prime_decompose A + prime_decompose B
axiom prime_decompose_equiv {Γ} {A B : speci... |
44cc4f7d1879e282079c4ba47f56f24d7fbc7035 | 1d335ec6ac4181a0a762b12797936770cc9fcef9 | /override/timeOverride.lean | da72388a0ddc5076bcdc36b4ac9f92db2854b5ac | [] | no_license | rohanrajnair/lang | dbadcc3997e44245ca84d48dc1733cf09a2605a6 | 3beb4e29d8faa692983a55fa18acb6eb947134e8 | refs/heads/master | 1,672,640,379,424 | 1,597,948,771,000 | 1,597,948,771,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 335 | lean | import ..imperative_DSL.environment
import ..eval.timeEval
open lang.classicalTime
def assignTime : environment.env → lang.classicalTime.var → lang.classicalTime.expr → environment.env
| i v e := environment.env.mk i.g
(λ r,
if (varEq v r)
then (classicalTimeEval e i)
else (i.t r))
... |
c21fcc910d468859de854386a81b33e75b91ea0a | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2021-USAJMO-Problem_1.lean | 178b18a244080fc9cb00e106803577e7db0a200d | [] | 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 | 166 | lean | theorem USAJMO_Problems_Problem_1 :
forall f: pnat -> pnat,
(forall (a b: pnat), f(a*a + b*b) = f(a)* f(b) /\ f(a*a) = f(a)*f(a))
-> forall n, f n = 1
:= sorry
|
20fe980613ce8164674faa739bc890b2827163ed | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.16.lean | 989b676ece5baf1922f60b9f010f0d35b0b502ef | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 159 | lean | /- page 38 -/
import standard
variables p q r s : Prop
premises (H1 : q → r) (H2 : p → q)
theorem t2 : p → r :=
assume H3 : p,
show r, from H1 (H2 H3)
|
d78e250f0a5178a69b37d132ac9fd406fc668f35 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/meta3.lean | 6b9d20118bfb2f5b64ee266b5c04024c6cc87062 | [
"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 | 2,060 | lean | import Init.Lean.Meta
open Lean
open Lean.Meta
def dbgOpt : Options :=
let opt : Options := {};
let opt := opt.setBool `trace.Meta true;
-- let opt := opt.setBool `trace.Meta.check false;
opt
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unlessM x $ t... |
9ccbbafb9fd8cd4d24eb2c74d20a1eed5d7b4de5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/category/Frame.lean | f50e545168f0049b81e292dd78366c0049db068f | [
"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 | 2,453 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.Lattice
import order.hom.complete_lattice
import topology.category.CompHaus.basic
import topology.sets.opens
/-!
# The category of frames
This fil... |
3b93bb8d70b35e8b2b280433ae30277291b29465 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/linarith/parsing.lean | 92fa3f1760f59c374cfd9dca956db9333c768147 | [
"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 | 7,532 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.linarith.datatypes
/-!
# Parsing input expressions into linear form
`linarith` computes the linear form of its input expressions,
assuming (without... |
68e6241f9b75e95ce8e5bce9499cde7a3a4b1e5e | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/list/basic.lean | ecabf6ee77994c5d6a8f7c78e90930703563af91 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 192,205 | 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... |
b286eedc8228509a6e306fabe8f9a4719b0f043a | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/control/fold.lean | b0dfde04d7d1329e58e7ca6e7a875d27e566bf9b | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 14,579 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Sean Leather
List folds generalized to `traversable`. Informally, we can think of
`foldl` as a special case of `traverse` where we do not care about the
reconstructed data s... |
d962933089418586378b8f94d6d099a923c2e3b3 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/verification/verification/signature_recover_public_key_code.lean | 4338dafb5375d6987d9164f80f7a99fb2b91de8d | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 50,482 | lean | /-
File: signature_recover_public_key_code.lean
Autogenerated file.
-/
import starkware.cairo.lean.semantics.soundness.hoare
variables {F : Type} [field F] [decidable_eq F]
/- function starkware.cairo.common.math.assert_nn code definition -/
def starkware.cairo.common.math.code_assert_nn : list F := [
'assert_eq[... |
9520d456dd9b4b02d8d70e2b69c093b3825923e7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/pquot.lean | 282d67a64642e985a92edd3568c44a524e57f268 | [
"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 | 5,415 | lean | import logic.cast data.list data.sigma
-- The (pre-)quotient type kernel extension would add the following constants
-- quot, pquot.mk, pquot.eqv and pquot.rec
-- and a computational rule, which we call pquot.comp here.
-- Note that, these constants do not assume the environment contains =
constant pquot.{l} {A : T... |
79b5626a3edb33d018c9368f33c2030e76336b01 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/measure_theory/l1_space.lean | 0c8bc013293fcefc5afe43debc9f5749698ae230 | [
"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 | 28,186 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.ae_eq_fun
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic properties ... |
8ee0f9b0ba841c3036864942e49885f6fded4244 | 8b8ab1eba67c5c35b51ab27fcf8151aab660e44d | /subgroups.lean | 848658277394b11bb009c260def1a1f22c285232 | [] | no_license | PatrickMassot/lean-scratchpad | ab5e89b69034cc699bf234852822acf74b50f2b9 | 03eec3bfabfc218b79dcbe7c7712bfa024a02625 | refs/heads/master | 1,626,995,046,509 | 1,538,577,853,000 | 1,538,577,853,000 | 115,135,779 | 1 | 2 | null | 1,522,993,992,000 | 1,513,962,994,000 | Lean | UTF-8 | Lean | false | false | 2,532 | lean | import data.set data.equiv
import algebra.group
variables {G : Type*} [group G]
class is_subgroup (H : set G): Prop :=
(mul_ : ∀ g h, g ∈ H → h ∈ H → g*h ∈ H)
(inv_ : ∀ g, g ∈ H → g⁻¹ ∈ H)
(one_ : (1:G) ∈ H)
namespace is_subgroup
variables { H : set G } [is_subgroup H] { x y : G }
lemma mul : x ∈ H → y ∈ H → x*y ∈ ... |
c09f1f4c59505d065bb6c40cbc68dd86fc934bf4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /counterexamples/linear_order_with_pos_mul_pos_eq_zero.lean | bf5a6191ed537d1dc150b87b925b12af373418da | [
"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 | 2,291 | lean | /-
Copyright (c) 2021 Johan Commelin (inspired by Kevin Buzzard, copied by Damiano Testa).
All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin (inspired by Kevin Buzzard, copied by Damiano Testa)
-/
import algebra.ordered_monoid
/-!
An example of a `linear_o... |
f34ab7ff1bf0ba0f8034f1e06471380c47a69262 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Deriving/Inhabited.lean | 0fefc397fd9664010aa23272d656be330ef89a62 | [
"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 | 5,439 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Deriving.Basic
namespace Lean.Elab
open Command
open Meta
private abbrev IndexSet := Std.RBTree Nat compare
private abbrev LocalInst2Inde... |
579ca670a62d37ba275687ad34b9ba2570b25554 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/trigonometric/bounds.lean | 936a9e1e984345c9f6094fa92b948b3e1bd07248 | [
"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 | 6,426 | lean | /-
Copyright (c) 2022 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import analysis.special_functions.trigonometric.arctan_deriv
/-!
# Polynomial bounds for trigonometric functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any ch... |
2d8533b0b20c499f67257fe1fca4125792a25d21 | 6e44fda625e48340c6ffc7b1109a9e3b208e5384 | /src/metric_spaces/examples.lean | d4c5ef63e400f17aa2563f69e9989da3b3df0dbe | [] | no_license | JasonKYi/learn_mspaces | 9f998a265b907af6be6a54061637fcf1f6d1ee9d | 54083e81da420d2d362a7024a8c86bea8529fe66 | refs/heads/master | 1,619,008,842,896 | 1,609,897,382,000 | 1,609,897,382,000 | 249,780,600 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,014 | lean | import metric_spaces.definitions
noncomputable theory
open set
namespace examples
-- Declaring X and element x with type X
inductive X : Type
| x : X
-- A metric that maps everything to zero is a metric on X
instance metric_space_example_X : metric_space X :=
{ dist := λ _ _, 0,
dist_self := λ _, rfl,
eq_of_di... |
ae9cca68031809e1974b40d0f78f71537ef12581 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/pp_char_bug.lean | 11742746f13d63081b3d0edef0d8b27369b49bb1 | [
"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 | 412 | lean | #check (fin.mk 2 dec_trivial : fin 5)
#check (fin.mk 1 dec_trivial : fin 3)
#check 'a'
#check to_string 'a'
#eval to_string 'a'
#eval 'a'
#eval char.of_nat 1
#eval char.of_nat 1
#eval char.of_nat 20
#check char.of_nat 1
#check char.of_nat 20
#check char.of_nat 15
#check char.of_nat 16
#eval char.of_nat 15
#eval char.... |
65bf7d0cd877c36fb2126e6e4890b8707a7ff339 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/Server/Utils.lean | 63f2a5cbc2ee3b9780382cb29a9b2a8fd01ef848 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,318 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.Data.Position
import Lean.Data.Lsp
import Lean.Server.InfoUtils
import Init.System.FilePath
namespace IO
def throwServerError (err... |
42136f388a0ee690b3582779f2cc94dfeff7255c | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/playground/environment_extension.lean | dfb3896cf780dcbf9b408aaf3551a35dd87824e3 | [
"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 | 6,090 | lean | import init.lean init.lean.parser.syntax
namespace Lean
/-- An extension of the State held by an `environment` object. The new State
holds objects of Type `entryTy`, which optionally are persisted to the
.olean file and collected when loading imports. Objects can be retrieved
using an appropriate `stateTy`... |
96ffed4a88b080b7665c366bcd99f6d920c2a6a6 | 85d23ae5fcdcd77981feb67549852ff901e8a583 | /fi.lean | 890e81e6b0c04441961667cb80dc0d3211fd1f47 | [] | no_license | javra/cubes | 5b480abcf1a869335a82b4fb5357ec4d16ab56bc | 734bdf71b9086b0ba9ef7dba3ede0c71f10872cc | refs/heads/master | 1,611,513,591,851 | 1,489,495,303,000 | 1,489,495,303,000 | 84,469,571 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,104 | lean | inductive fi : ℕ → Type
| zero : Π {n}, fi (n + 1)
| suc : Π {n}, fi n → fi (n + 1)
open fi
namespace fi
instance {n : ℕ} : has_zero (fi (n + 1)) := ⟨ fi.zero ⟩
def fi_to_nat : Π {n}, fi n → ℕ
| (n + 1) fi.zero := nat.zero
| (n + 1) (suc i) := nat.succ (fi_to_nat i)
instance fi_nat_coe {n : ℕ} : has_coe (fi n) ℕ :... |
d42f6cd5e28994f50dd78c82ae5dd8872adcf9a3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/kabstract_cache.lean | fb2bf6f91b8b46f8bb253402fea5e0011ec0aec4 | [
"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 | 259 | lean | open tactic
example {α : Type} (f : α → α → α) (a b : α) (H₁ : a = b) (H₂ : f b a = a) :
let c := a in f c c = c :=
by do dsimp_target,
e ← get_local `H₁, rewrite_target e {occs := occurrences.pos [1]},
get_local `H₂ >>= exact
|
730ac8b5d9c13495dc43c93b2d22705de1304974 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/non_integrable.lean | d193676c5f1ae672ad312d29f562f0f597c40ebb | [
"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 | 9,707 | 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 analysis.special_functions.log.deriv
import measure_theory.integral.fund_thm_calculus
/-!
# Non integrable functions
> THIS FILE IS SYNCHRONIZED WITH MATHL... |
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