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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e14c59420cdf4f932778f2aa4e96c404eaa3236e | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/system/io.lean | b05bc7edd42b1f6091beef542ec584926669d200 | [
"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 | 9,288 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch and Leonardo de Moura
-/
import system.io_interface
/- The following constants have a builtin implementation -/
constant io_core : Type → Type → Type
... |
b3f9ce271c6f42e7de1816b28c9d0e540a1dac46 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/big_operators/ring.lean | 8ed6121b1b0d7c71bfb10f3162979a0937876bbf | [
"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 | 11,114 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.basic
import algebra.field.defs
import data.finset.pi
import data.finset.powerset
/-!
# Results about big operators with values in a (s... |
d7b478f74e35b2a8286814d94e2c5e6490ae112e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/ray.lean | 338d77836a30dba38d44f4f9a324e06147ae67f4 | [
"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 | 4,675 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Yaël Dillies
-/
import linear_algebra.ray
import analysis.normed_space.basic
/-!
# Rays in a real normed vector space
In this file we prove some lemmas about the `s... |
ed4acb871c84a5bd872e1078fa36cd85d8b8241d | c1a29ca460720df88ab68dc42d9a1a02e029d505 | /examples/basics/unnamed_1567.lean | 697f45ee48efb63c46dbddac5e68ec081dbe9856 | [] | no_license | agusakov/mathematics_in_lean | acb5b3d659e4522ae4b4836ea550527f03f6546c | 2539562e4d91c858c73dbecb5b282ce1a7d38b6d | refs/heads/master | 1,665,963,365,241 | 1,592,080,022,000 | 1,592,080,022,000 | 272,078,062 | 0 | 0 | null | 1,592,078,772,000 | 1,592,078,772,000 | null | UTF-8 | Lean | false | false | 281 | lean | import data.nat.gcd
variables x y z : ℕ
example (h₀ : x ∣ y) (h₁ : y ∣ z) : x ∣ z :=
dvd_trans h₀ h₁
example : x ∣ y * x * z :=
begin
apply dvd_mul_of_dvd_left,
apply dvd_mul_left
end
example : x ∣ x^2 :=
begin
rw nat.pow_two,
apply dvd_mul_left
end |
7fd8a8085d5c5b0a1c8e94a37902f7310286e66e | 799b5de27cebaa6eaa49ff982110d59bbd6c6693 | /mechanized/instantiation.lean | 9a24296e21bdc82d92c26a872623044e6e5c0288 | [
"MIT"
] | permissive | philnguyen/soft-contract | 263efdbc9ca2f35234b03f0d99233a66accda78b | 13e7d99e061509f0a45605508dd1a27a51f4648e | refs/heads/master | 1,625,975,131,435 | 1,617,775,585,000 | 1,617,775,704,000 | 17,326,137 | 33 | 7 | MIT | 1,613,722,535,000 | 1,393,714,126,000 | Racket | UTF-8 | Lean | false | false | 5,911 | lean | import data.set definitions metafunctions reduction assumptions
-- Instantiation of expression
inductive inst_e: e → e → Prop
-- Structural cases
| n : ∀ {n}, inst_e (e.n n) (e.n n)
| lam: ∀ {x e e'},
kn_x x →
inst_e e e' →
inst_e (e.lam x e) (e.lam x e')
| x : ∀ {x}, kn_x x → inst_e (e.x ... |
e77d717bc0eaef66250ab89c29d2c4819fa72679 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/subobject/basic.lean | 15bf310804562f03687f95688c3dfd50ba08fea1 | [
"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 | 22,748 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.mono_over
import category_theory.skeletal
/-!
# Subobjects
We define `subobject X` as the quotient (by isomorphisms) of... |
0e4c9f4470d3413a3f3565cb3518cbc2fdf5732e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/uniform_space/uniform_embedding.lean | 863c6714f2b13b56eb3590f4a50b2dfbfe438576 | [
"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 | 26,845 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Sébastien Gouëzel, Patrick Massot
-/
import topology.uniform_space.cauchy
import topology.uniform_space.separation
import topology.dense_embedding
/-!
# Uniform embedd... |
50ff299f15f0e48b0f0a07cd6d449f3e65786654 | 2d041ea7f2e9b29093ffd7c99b11decfaa8b20ca | /ch3.lean | 45f009b4b8155d7b2240d460511a7152056f0d64 | [] | no_license | 0xpr/lean_tutorial | 1a66577602baa9a52c2b01130b9d70089653ea37 | 56ef609d8df9e392916012db5354bf182cbbb8d8 | refs/heads/master | 1,606,955,421,810 | 1,499,014,388,000 | 1,499,014,388,000 | 96,036,899 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,646 | lean | open classical
variables p q r s : Prop
-- commutativity of ∧ and ∨
example : p ∧ q ↔ q ∧ p :=
iff.intro
(assume H : p ∧ q,
show q ∧ p, from and.intro (and.elim_right H) (and.elim_left H))
(assume H : q ∧ p,
show p ∧ q, from and.intro (and.elim_right H) (and.elim_left H))
example : p ∨ ... |
5a35e9cd6ab8f9d34fcde87a7827baf762ae5149 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0409.lean | 0c14d0b6e02941006d3db851425719fc79b49e08 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 306 | lean | example (p q r : Prop) : p ∧ (q ∨ r) → (p ∧ q) ∨ (p ∧ r) :=
begin
intro h,
cases h with hp hqr,
show (p ∧ q) ∨ (p ∧ r),
cases hqr with hq hr,
have : p ∧ q,
split; assumption,
left, exact this,
have : p ∧ r,
split; assumption,
right, exact this
end
|
0a5d65cc100c7e3c432acf612bed04f9d1d9ff42 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/bornology/constructions.lean | 1cbbd2438f29fba8623d7986d3f17df28616d64a | [
"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 | 6,131 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import topology.bornology.basic
/-!
# Bornology structure on products and subtypes
In this file we define `bornology` and `bounded_space` instances on `α × ... |
2c037df2aa7a5de5e5aac346282f3b63cb10015b | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/testing/slim_check/functions.lean | 6b1944c1b0d9d1078619ed068138d298280478fa | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,688 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.list.sigma
import testing.slim_check.sampleable
import testing.slim_check.testable
import tactic.pretty_cases
/-!
## `slim_check`: generators for functions
Th... |
8ce8c9c73e2bbf96e48459da5a07cc7202318bc0 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0106.lean | a8096383bdf3e6f767623a821483018dcae75a35 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 118 | lean | theorem test (p q : Prop) (hp : p) (hq : q) : p ∧ q ∧ p :=
begin
apply and.intro hp; exact and.intro hq hp,
end
|
132befc4774c60725c2afdc38f2a1a791c4062d7 | 43390109ab88557e6090f3245c47479c123ee500 | /src/Topology/Material/Path_Homotopy_09_08.lean | e8f9153cac6598ec1cb4ec50f4f546813ec9761a | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,872 | lean | import analysis.topology.continuity
import analysis.topology.topological_space
import analysis.topology.infinite_sum
import analysis.topology.topological_structures
import analysis.topology.uniform_space
import analysis.real
import data.real.basic tactic.norm_num
import data.set.basic
import Topology.Material.subsets
... |
5ecd2734cc3ec839175b90ef3eeee29e697d2242 | 8be24982c807641260370bd09243eac768750811 | /src/algebraic_countable_over_Z.lean | 5a385f1c03054042b3539a421c025ebeee1ae2e3 | [] | no_license | jjaassoonn/transcendental | 8008813253af3aa80b5a5c56551317e7ab4246ab | 99bc6ea6089f04ed90a0f55f0533ebb7f47b22ff | refs/heads/master | 1,607,869,957,944 | 1,599,659,687,000 | 1,599,659,687,000 | 234,444,826 | 9 | 1 | null | 1,598,218,307,000 | 1,579,224,232,000 | HTML | UTF-8 | Lean | false | false | 23,845 | lean | import ring_theory.algebraic
import data.real.cardinality
import small_things
import tactic
noncomputable theory
open_locale classical
notation α`[X]` := polynomial α
/--
- For the purpose of this project, we define a real number $x$ to be algebraic if and only if
there is a non-zero polynomial $p ∈ ℤ[T]$ such that ... |
eedad57ed398ec66d97d44f74cc295527947121f | c3de33d4701e6113627153fe1103b255e752ed7d | /tools/tactic/simp_tactic.lean | ec3f0b481abbe7cc081db2126a4f74da651145b0 | [] | no_license | jroesch/library_dev | 77d2b246ff47ab05d55cb9706a37d3de97038388 | 4faa0a45c6aa7eee6e661113c2072b8840bff79b | refs/heads/master | 1,611,281,606,352 | 1,495,661,644,000 | 1,495,661,644,000 | 92,340,430 | 0 | 0 | null | 1,495,663,344,000 | 1,495,663,344,000 | null | UTF-8 | Lean | false | false | 11,042 | lean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Variants of the simplifier tactics.
-/
import init.meta.lean.parser
import .tactic
open expr
namespace tactic
/- In the main library, (simp_at h) replaces the local con... |
b5e0af128608773b1206eca17484c3312ebe8745 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sequences.lean | 5b71cc2becf914f606eac79888c19e47f4508bd9 | [
"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 | 19,445 | lean | /-
Copyright (c) 2018 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Patrick Massot, Yury Kudryashov
-/
import topology.subset_properties
import topology.metric_space.basic
/-!
# Sequences in topological spaces
In this file we de... |
eaf46157bd68079a47b8cb1681f7af437959b7df | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/measure/vector_measure.lean | 3d76cc55ff340f3777e7d84b7116d714196d2307 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,700 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.integral.lebesgue
/-!
# Vector valued measures
This file defines vector valued measures, which are σ-additive functions from a set to a add monoid
... |
8e842d0a259b2ef4d83050bc6f3e02e2371288af | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/sub_bug.lean | c2d8664ea6c3f1987b7352e9c3e0117335c21290 | [
"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 | 44 | lean | open nat subtype
#check { x : nat // x > 0}
|
5ffdc63072adfada5ab9b00843394f11c1dc2aaa | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/adjunction/opposites.lean | 45bd32f1334c11047948318b0f7a298f7d3867bd | [
"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 | 4,628 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Thomas Read
-/
import category_theory.adjunction.basic
import category_theory.yoneda
import category_theory.opposites
/-!
# Opposite adjunctions
This file contains const... |
f1d3a5e644394b982b62f34ee222e43a95f8c86f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/2005.lean | 79616ee7e43b510e9cc442434a92afbbecdfd493 | [
"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 | 189 | lean | import Lean
open Lean
syntax (docComment)? "foo" term : command
def foo2 : Syntax → Nat
| `($[$_]? foo !$_) => 1
| `(foo -$_) => 2
| _ => 0
#eval foo2 (Unhygienic.run `(foo -x))
|
d493e849a5151a8bb293440c3fd307847cf0c3a0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/bornology/hom.lean | aeca18629976d0618c80e6680933fd3b3b07ef4b | [
"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 | 4,967 | 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 topology.bornology.basic
/-!
# Locally bounded maps
This file defines locally bounded maps between bornologies.
We use the `fun_like` design, so each type of mo... |
f0b548f7ca867e2b269c2b8aff9a8fa19a94ec13 | 34c1747a946aa0941114ffca77a3b7c1e4cfb686 | /src/sheaves/presheaf_of_rings_extension.lean | 8498508ba32a2d8b20c943166db688bacaebb7e4 | [] | no_license | martrik/lean-scheme | 2b9edd63550c4579a451f793ab289af9fc79a16d | 033dc47192ba4c61e4e771701f5e29f8007e6332 | refs/heads/master | 1,588,866,287,405 | 1,554,922,682,000 | 1,554,922,682,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,668 | lean | /-
Presheaf of rings extension.
https://stacks.math.columbia.edu/tag/009N
-/
import to_mathlib.opens
import sheaves.presheaf_of_rings
import sheaves.presheaf_of_rings_on_basis
import sheaves.sheaf_on_basis
import sheaves.stalk_of_rings_on_standard_basis
universes u v w
open topological_space
open lattice
open c... |
3951a33c02b83e6fa45c2afdeb72f3051f990a00 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/linear_algebra/matrix/reindex.lean | 56e22e46b138b8ee78f7979b0089437f3d302eac | [
"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 | 5,487 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.matrix.determinant
/-!
# Changing the index type of a matrix
This file concerns the map `matrix.rei... |
d7f7b8e92e13d11f8525040fd9a84700ae81eef8 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/linear_algebra/finsupp_vector_space.lean | 301c9c2a9c934a9da09ef98e3c49c3e1309cd82e | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,424 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `ι →₀ β`.
-/
import data.mv_polynomial
import linear_algebra.dimension
import linear_algebra.direct_sum.finsupp
noncom... |
8aef4cab6dc55a7dc8ee09760b7f481fa3a97a90 | 5d76f062116fa5bd22eda20d6fd74da58dba65bb | /src/polynomial_tactic_test.lean | 0ae84a1cdca6b8f4fdfdfe06aae5c5284fa0b37b | [] | 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 | 642 | lean | import polynomial_tactic
open_locale big_operators
section
open mv_polynomial
noncomputable theory
universes u
/-- The finite field parameter of our SNARK -/
parameter {F : Type u}
parameter [field F]
@[derive decidable_eq]
inductive vars : Type
| x : vars
| y : vars
| z : vars
def my_polynomial : mv_polynom... |
26663692accf6b523ae790becbbc6750e50aa435 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Compiler/NameMangling.lean | 3a763657f227b6c13cd58d6a1cbe3f5179b2c21c | [
"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 | 1,930 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Data.Name
namespace String
private def mangleAux : Nat → String.Iterator → String → String
| 0, it, r => r
| i+1, it, r =>
let c := i... |
e15586071ba1c24c0b6963b30192efc4641eaaf7 | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /Mathlib/Mathlib/Tactic/NormNum.lean | e38fea730579d7f3896ac92eeb14f4be6984abfd | [] | no_license | marijnheule/lamr | 5fc5d69d326ff92e321242cfd7f72e78d7f99d7e | 28cc4114c7361059bb54f407fa312bf38b48728b | refs/heads/main | 1,689,338,013,620 | 1,630,359,632,000 | 1,630,359,632,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,277 | 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 Lean.Elab.Tactic.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Tactic.Core
namespace Lean
/--
Return true if `e` is one of the following
- A nat... |
a5c99a5b6c4f99eed4f169fa3a6f892485200444 | 98e19516c8c6ccdcd3b092955d47773a0aaabf7b | /test/bench/lean/rbtree.lean | 11412470691efdbf9783ab1453ce40703cb464ad | [
"Apache-2.0"
] | permissive | koka-lang/koka | d31daf7d06b28ea7b1fc8084cc76cdf5459610b6 | b3122869ac74bfb6f432f7e76eeb723b1f69a491 | refs/heads/master | 1,693,461,288,476 | 1,688,408,308,000 | 1,688,408,308,000 | 75,982,258 | 2,806 | 154 | NOASSERTION | 1,689,870,454,000 | 1,481,238,037,000 | Haskell | UTF-8 | Lean | false | false | 2,887 | 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
import Init.Data.Option.Basic
import Init.Data.List.BasicAux
import Init.System.IO
universes u v w w'
inductive color
| Red | Blac... |
f05d3999b2ab99fcb5160b727a41f1042673124d | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Init/Data/Option/Basic.lean | ae88231c3a9b2b56c9f1fe9763bc89671d38d166 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,439 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Core
import Init.Control.Basic
import Init.Coe
namespace Option
def toMonad [Monad m] [Alternative m] : Option α → m α
| none =>... |
1ddb239194533d0682bde32c6982b69e21c737e3 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Delaborator.lean | 5f8a01919e38aa98523f2a15b579c52f2f54d742 | [
"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 | 17,214 | 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... |
202ae1dacd759bab2ae330bb1c581dd195327fc5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/injection_tactic.lean | 1eb7b67c15d521238378215a5378534a80646abc | [] | 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 | 1,193 | 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, Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
namespace Mathlib
namespace tactic
/- Given a local constant `H : C x₁... |
ecaaec674f4a2911cf9c4ccd17d30d87827bcfb2 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/Tactic/Delta.lean | 158d12abef2d7e5413a1630c1d9646b078b06cdd | [
"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 | 1,398 | 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.Meta.Tactic.Delta
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.Location
namespace Lean.Elab.Tactic
open Meta
def deltaLocalDecl (decl... |
f2374af51c53d4ebbb92cdc43567f3aaae5a88c2 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/quaternion.lean | f00c116fe91f626e186d6f65dadbb3c14dddc20f | [
"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 | 7,305 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Eric Wieser
-/
import algebra.quaternion
import analysis.inner_product_space.basic
import analysis.inner_product_space.pi_L2
import topology.algebra.algebra
/-!
# Qu... |
68d6a0ea60d7aa1e9d63f523ec41263456ec019b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/support.lean | 9dec2b5e0b82a6441d798d285cfd473927708647 | [
"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 | 10,899 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.conditionally_complete_lattice
import algebra.big_operators.basic
import algebra.group.prod
import algebra.group.pi
import algebra.module.pi
/-!
# Sup... |
7ecd52de86544a934fff5c6affaf2ee82ab817c8 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/integral/set_integral.lean | ea05ed0a36bb590dfc91a5775367e7e610b39642 | [
"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 | 36,902 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.integral.integrable_on
import measure_theory.integral.bochner
/-!
# Set integral
In this file we prove some properties of `∫ x ... |
5c765ef46fda1f60984858e44bb7ce8dbd309e88 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/group_theory/index.lean | 92cb3e3464e34a8bf85a3094af63b34f403efcc8 | [
"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 | 2,800 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.coset
import set_theory.cardinal
/-!
# Index of a Subgroup
In this file we define the index of a subgroup, and prove several divisibility pro... |
73dca2493b480ce5383b2e1db5d920ed161dd775 | 71c05f289da9a856f1d16197a32b6a874eb1052e | /hlean/rats.hlean | e2ac740882b1592cce14ddad0a1914d14bf51fdd | [] | no_license | gbaz/works-in-progress | e7701b1c2f8d0cfb6bfb8d84fc4d21ffd9937521 | af7bacd7f68649106a3581c232548958aca79a08 | refs/heads/master | 1,661,485,946,844 | 1,659,018,408,000 | 1,659,018,408,000 | 32,045,948 | 14 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 7,417 | hlean | import types.int algebra.field hit.set_quotient hit.trunc int_order
open eq sigma sigma.ops equiv is_equiv equiv.ops eq.ops int algebra set_quotient is_trunc trunc quotient
record prerat : Type := (num : ℤ) (denom : ℤ) --(dp : denom > 0)
inductive rat_rel : prerat → prerat → Type :=
| Rmk : Π (a b : prerat), int.mul... |
679d61e061a6dd4412bb9997a40f1e95e1c9c3fb | 9cba98daa30c0804090f963f9024147a50292fa0 | /old/metrology/quantity_test.lean | 50c3798ef6ec12285f9212fdbd1e9a8cfb3feec3 | [] | no_license | kevinsullivan/phys | dcb192f7b3033797541b980f0b4a7e75d84cea1a | ebc2df3779d3605ff7a9b47eeda25c2a551e011f | refs/heads/master | 1,637,490,575,500 | 1,629,899,064,000 | 1,629,899,064,000 | 168,012,884 | 0 | 3 | null | 1,629,644,436,000 | 1,548,699,832,000 | Lean | UTF-8 | Lean | false | false | 554 | lean | import .quantity
open quantity
open dimension
open measurementSystem
-- Examples
def oneMeter := mkQuantity BasicDimension.length si_measurement_system (1 : ℝ)
def twoSeconds := mkQuantity BasicDimension.time si_measurement_system (2 : ℝ)
def threePounds := mkQuantity BasicDimension.mass imperial_measurement_system ... |
8c19b9c64a46b9a5d461ea248a85b5b3a8f65829 | a5271082abc327bbe26fc4acdaa885da9582cefa | /src/test.lean | 814f2d97ac81793cf6332d4a42d2c8eaf0d67ea2 | [
"Apache-2.0"
] | permissive | avigad/embed | 9ee7d104609eeded173ca1e6e7a1925897b1652a | 0e3612028d4039d29d06239ef03bc50576ca0f8b | refs/heads/master | 1,584,548,951,613 | 1,527,883,346,000 | 1,527,883,346,000 | 134,967,973 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 192 | lean | /-example : 1 + 2222 = 2223 :=
begin
reflexivity
end
theorem foo : 1 + (2222222222222 : nat) = 2222222222223 :=
begin
reflexivity
end
-/
theorem bar : 100003 + 100003 = 200006 :=
rfl
|
391630b4de25faf572271d1875c3cf5e9ba9c6e8 | c3de33d4701e6113627153fe1103b255e752ed7d | /data/nat/basic.lean | 43e74d2371736670c4545251a86821d44d03dff9 | [] | no_license | jroesch/library_dev | 77d2b246ff47ab05d55cb9706a37d3de97038388 | 4faa0a45c6aa7eee6e661113c2072b8840bff79b | refs/heads/master | 1,611,281,606,352 | 1,495,661,644,000 | 1,495,661,644,000 | 92,340,430 | 0 | 0 | null | 1,495,663,344,000 | 1,495,663,344,000 | null | UTF-8 | Lean | false | false | 3,255 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad
Basic operations on the natural numbers.
-/
import tools.super.prover
open tactic
namespace nat
-- TODO(gabriel): can we drop ad... |
9165f4c55a4a356c084e81932dc52749a294320b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1143.lean | 355c330632d2e2f3b563d09068b9598e94d7231c | [
"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 | 135 | lean | inductive Foo
| foo | bar
def baz (b : Bool) (x : Foo := .foo) : Foo := Id.run <| do
let mut y := x
if b then
y := .bar
y
|
109626eb87aadf489b99f4b0f4475b69ebf1bb1c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/algebra_auto.lean | dca578fcc022ed93327e62240f02a35d15eee4c2 | [] | 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 | 309 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
namespace tactic
end Mathlib |
ab15d9ac91dc290e1e67f55ccfda7ff9e6c51671 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/qpf/multivariate/constructions/comp.lean | 00e56d65ee4c59ef3068a65986e84a1b21f3ff7b | [
"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 | 2,662 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon
-/
import data.pfunctor.multivariate.basic
import data.qpf.multivariate.basic
/-!
# The composition of QPFs is itself a QPF
We define composition between o... |
f439b8f35db39b9fe5fc716da9efd7bccb4c2897 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/continuous_function/stone_weierstrass.lean | 581de93c3648ea7d0870d6ebbd3bf839c2a8c333 | [
"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 | 21,051 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Heather Macbeth
-/
import topology.continuous_function.weierstrass
import data.complex.is_R_or_C
/-!
# The Stone-Weierstrass theorem
If a subalgebra `A` of `C(X, ℝ)`,... |
cf18367005f2ad35f6ffe6093be2f526fd84658c | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /tests/lean/run/coeIssues4.lean | f96296207b141ae1c9a156cc056ec301e61debed | [
"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 | 534 | lean |
def f : List Int → Bool := fun _ => true
def ex3 : IO Bool := do
let xs ← pure [1, 2, 3];
pure $ f xs -- Works
inductive Expr
| val : Nat → Expr
| app : Expr → Expr → Expr
instance : Coe Nat Expr := ⟨Expr.val⟩
def foo : Expr → Expr := fun e => e
def ex1 : Bool :=
f [1, 2, 3] -- Works
def ex2 : Bool :=
let xs :... |
9b7d9ce1064cfc58096b0bb4eacb3e7b48fd2bd1 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/topology/algebra/algebra.lean | 6d263e60b12a51f5b96a6696183589fce89b04b9 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,926 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra
import topology.algebra.module
/-!
# Topological (sub)algebras
A topological algebra over a topological ring `R` is a
topological ... |
c5bade9a43e9174f84f10f6b76617bfafd8ec5f1 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/algebra/ring.lean | b12b9aecb6746662bb2c0c0ee65c838e7c944f1f | [
"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 | 4,007 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Theory of topological rings.
-/
import topology.algebra.group
import ring_theory.ideals
open classical set filter topological_space
open_locale classic... |
c1e5cd6e53ac342fe7fedc33b3d36b85179d66c2 | b815abf92ce063fe0d1fabf5b42da483552aa3e8 | /library/data/bitvec.lean | 7f079bece1448e7f5a6d2028f3040de8cd73360f | [
"Apache-2.0"
] | permissive | yodalee/lean | a368d842df12c63e9f79414ed7bbee805b9001ef | 317989bf9ef6ae1dec7488c2363dbfcdc16e0756 | refs/heads/master | 1,610,551,176,860 | 1,481,430,138,000 | 1,481,646,441,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,259 | lean | /-
Copyright (c) 2015 Joe Hendrix. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joe Hendrix
Basic operations on bitvectors.
This is a work-in-progress, and contains additions to other theories.
-/
import data.tuple
def bitvec (n : ℕ) := tuple bool n
namespace bitv... |
44e49940ca36eee58812c36921f59751fcf317f3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/concrete_category/default_auto.lean | e5b03c5c3696a58c52f5005f756c227dbc0eecf1 | [] | 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 | 178 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.concrete_category.unbundled_hom
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
5c587ca0e608c20001de9879e8eae2b3f282b851 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex42.lean | e214463ecf4485a5216c95e418cb9268360c233d | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 294 | lean | variables (A : Type) (r : A → A → Prop)
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
example (a b c d : A) (hab : r a b) (hcb : r c b) (hcd : r c d) : r a d :=
trans_r (trans_r hab (symm_r hcb)) hcd
|
336f34ee8e3a559580db39c2872c2425218cb64e | e38e95b38a38a99ecfa1255822e78e4b26f65bb0 | /src/certigrad/label.lean | 955eb2f450401e0f6a6d135c2b81f86136c72f37 | [
"Apache-2.0"
] | permissive | ColaDrill/certigrad | fefb1be3670adccd3bed2f3faf57507f156fd501 | fe288251f623ac7152e5ce555f1cd9d3a20203c2 | refs/heads/master | 1,593,297,324,250 | 1,499,903,753,000 | 1,499,903,753,000 | 97,075,797 | 1 | 0 | null | 1,499,916,210,000 | 1,499,916,210,000 | null | UTF-8 | Lean | false | false | 2,802 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Labels.
Note: this file is just because strings are slow and cumbersome in current Lean.
-/
import .tactics
namespace certigrad
inductive label : Type
| default
| batch_... |
b7deb2554d1a1782f0d4df64f693344767f1e97f | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/smt_assert_define.lean | d09d890b8ec9d6e5249da700274c62fb31ff161c | [
"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 | 893 | lean | open smt_tactic
constant p : nat → nat → Prop
constant f : nat → nat
axiom pf (a : nat) : p (f a) (f a) → p a a
lemma ex1 (a b c : nat) : a = b + 0 → a + c = b + c :=
by using_smt $ do
pr ← tactic.to_expr ```(add_zero b),
note `h none pr,
trace_state, return ()
lemma ex2(a b c : nat) : a = b → p (f a) (f b) → ... |
3213afc9b8b54d4c66f110d64ae764616a4f7233 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/category/Module/basic.lean | 6d640759abbaf713c255d9d4d8f9a8c6391101b1 | [
"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 | 5,740 | lean | /-
Copyright (c) 2019 Robert A. Spencer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Markus Himmel
-/
import algebra.category.Group.basic
import category_theory.concrete_category
import category_theory.limits.shapes.kernels
import category_theory.... |
f6e094a5392d94d349a8f1549da746d88a234db1 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/topology/constructions.lean | de28bdc2ca6abd713d05c0250a7983a2a15c39b8 | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 29,790 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
d22c13dc190b22f5f141cc55c9c4b0f7bda5f95b | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/to_mathlib/localization/localization_ideal.lean | 3ac29108fa0b90f959a341335cb93d930c0f9267 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,418 | lean | /-
A concrete characterisation of the ideal map induced by a ring homomorphism
with the localization property.
-/
import ring_theory.ideal_operations
import ring_theory.localization
import to_mathlib.localization.localization_alt
open localization_alt
universe u
section
parameters {R : Type u} [comm_ring R]
... |
6edf855dd7fd10d4b3d18e3d5dae2cc40faeaae1 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Compiler/IR/CtorLayout.lean | e3fe13f61a209872a349e76ca15a02fa070b2683 | [
"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 | 1,001 | 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.Environment
import Init.Lean.Compiler.IR.Format
namespace Lean
namespace IR
inductive CtorFieldInfo
| irrelevant
| object (i : Na... |
83afb4a0ae46dae0898035b85e75fe4697d8d5fc | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/closed/cartesian.lean | 9de363075a2f3e24149406c69bb615c20873aece | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 16,332 | lean | /-
Copyright (c) 2020 Bhavik Mehta, Edward Ayers, Thomas Read. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Edward Ayers, Thomas Read
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.constructions.preserve_bi... |
cef1f4a65a6dfe9edcb385e0d60ef25b9c2af8ee | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /analysis/metric_space.lean | 636a91be4e6d112e457435c9bcd914a1b38d7a18 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 21,888 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro
Many definitions and theorems expected on metric spaces are already introduced on uniform spaces an... |
03a5cb7e81c68d0e4255de8d5c2fa0bbc22549c4 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/direct_sum/decomposition.lean | 359f406bbb84dea83f9bd4d147d3627fc008ccd5 | [
"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 | 8,272 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jujian Zhang
-/
import algebra.direct_sum.module
import algebra.module.submodule.basic
/-!
# Decompositions of additive monoids, groups, and modules into direct sums
## Mai... |
b4e2cd720b0ae3df17d130f3c080c6ec97fcaa09 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Module/epi_mono.lean | 2a793833675e0811c1efaba4bfe9045eff5bc5ff | [
"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 | 1,720 | lean | /-
Copyright (c) 2021 Scott Morrison All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Module.adjunctions
import category_theory.epi_mono
/-!
# Monomorphisms in `Module R`
This file shows that an `R`-linear map is a monomorphism... |
25e56d9547fec5fa2a0e76368e16b3de1b2ac036 | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/backends/bfs/openai.lean | a03d4913b3c573f0863025d23d5a25f8145e319d | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 11,048 | lean | import evaluation
import utils
-- TODO(jesse): code duplication >:(
namespace openai
section openai_api
meta structure CompletionRequest : Type :=
(prompt : string)
(max_tokens : int := 16)
(temperature : native.float := 1.0)
(top_p : native.float := 1)
(n : int := 1)
(best_of : option int := none)
(stream : option... |
11ae5237a59115c9c65594fe04ecab70a4274ba8 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /stage0/src/Std/Data/HashSet.lean | 875816169ecea4872163d4d8e78e2a6921e17800 | [
"Apache-2.0"
] | permissive | cwb96/lean4 | 75e1f92f1ba98bbaa6b34da644b3dfab2ce7bf89 | b48831cda76e64f13dd1c0edde7ba5fb172ed57a | refs/heads/master | 1,686,347,881,407 | 1,624,483,842,000 | 1,624,483,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,119 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Std
universes u v w
def HashSetBucket (α : Type u) :=
{ b : Array (List α) // b.size > 0 }
def HashSetBucket.update {α : Type u} (data : HashSe... |
a3dc823a64e1bd894780a66939806645913bc72f | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /tests/lean/run/simp_tc_err.lean | 41c1932796dfed4abfdaef1aa0e733e95c7dd5a2 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 507 | lean | def c : ℕ := default _
def d : ℕ := default _
local attribute [simp] nat.add_zero
class foo (α : Type)
-- type class resolution for [foo α] will always time out
instance foo.foo {α} [foo α] : foo α := ‹foo α›
-- would break simp on any term containing c
@[simp] lemma c_eq_d [foo ℕ] : c = d := by refl
set_option tra... |
58a012990721e75415bcde04fa76232b09f8dc5b | 626e312b5c1cb2d88fca108f5933076012633192 | /src/field_theory/separable.lean | 0bc6f2e9738b94dc05f7d1f9988147f5e6e16847 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,115 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.polynomial.big_operators
import field_theory.minpoly
import field_theory.splitting_field
import field_theory.tower
import algebra.squarefree
/-!
# Separable p... |
ba053915d88d1564dd97a425e6e89b3b4dd18d69 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/qexpr1.lean | 8f6e3c6bee21227b22440f45b90149c9c635af91 | [
"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 | 322 | lean | open tactic
set_option pp.all true
example (a b c : nat) : true :=
by do
x ← to_expr ```(a + b),
trace x, infer_type x >>= trace,
constructor
example (a b c : nat) : true :=
by do
x ← get_local `a,
x ← mk_app `nat.succ [x],
r ← to_expr ```(%%x + b),
trace r, infer_type r >>= trace,
constructor
|
d67f9252f5252082ce82cde4b0dee4474f351999 | 6b10c15e653d49d146378acda9f3692e9b5b1950 | /examples/basic_skills/unnamed_207.lean | ca835e473a66589193f6b47b15a814a7ce6352fd | [] | 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 | 315 | lean | import data.real.basic
-- BEGIN
example (a b c d e f : ℝ) (h : a * b = c * d) (h' : e = f) :
a * (b * e) = c * (d * f) :=
begin
rw [h', ←mul_assoc, h, mul_assoc]
end
example (a b c d e f : ℝ) (h : a * b = c * d) (h' : e = f) :
a * (b * e) = c * (d * f) :=
by rw [h', ←mul_assoc, h, mul_assoc]
-- END |
aed1184d348fceb77884521e717b3d162e6446f2 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/filter/bases.lean | ab198170ca6a5e30fd25ea28d9ac1969256b33b2 | [
"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 | 36,639 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov, Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.basic
import data.set.countable
/-!
# Filter bases
A filter basis `B : filter_basis α` on a typ... |
0b11ac47c84eadfa48316e69014a859888f8bdab | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inductive_pred.lean | 19ef52b70a522ae4dc6f20e830d428ec18289474 | [
"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 | 3,941 | lean | import Lean
open Lean
namespace Ex
inductive LE : Nat → Nat → Prop
| refl : LE n n
| succ : LE n m → LE n m.succ
def typeOf {α : Sort u} (a : α) := α
theorem LE.trans' : LE m n → LE n o → LE m o
| h1, refl => h1
| h1, succ h2 => succ (trans' h1 h2) -- the structural recursion in being performed on the im... |
98ba395e77177aa1e377cb261585150e74c2f407 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/algebra/field.lean | f394d0115f4f0e020aadf0815c8c8be85a68f116 | [
"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 | 4,518 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Scott Morrison
-/
import topology.algebra.ring
import topology.algebra.group_with_zero
/-!
# Topological fields
A topological division ring is a topological ring whos... |
98eca398aa3f1b7af1f88a74801a5037fe8e9bb6 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tmp/new-frontend/parser/trie.lean | 16b4baad8aae09408efe55b42d79c8e0f347e118 | [
"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 | 3,507 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Trie for tokenizing the Lean language
-/
prelude
import init.data.rbmap
import init.lean.format init.lean.parser.parsec
namespace Lean
name... |
ecd8a873632d4f9cfdb7842018df365daaec2f05 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /ring_theory/ideals.lean | 9b9071906719662bd435ac4ddd0662d36d68834d | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 12,233 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import linear_algebra.basic ring_theory.associated order.zorn
universes u v
variables {α : Type u} {β : Type v} [comm_ring α] {a b : α}
open set ... |
88bd03db4c46fc66f7809d8ab12ad363b861e7d4 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc5.lean | b7b0c9b46f13b5feb26f8431cfc261c844b606c8 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 608 | lean | set_option blast.simp false
set_option blast.subst false
example (a b c : Prop) : (a ↔ b) → ((a ∧ (c ∨ b)) ↔ (b ∧ (c ∨ a))) :=
by blast
example (a b c : Prop) : (a ↔ b) → ((a ∧ (c ∨ (b ↔ a))) ↔ (b ∧ (c ∨ (a ↔ b)))) :=
by blast
example (a₁ a₂ b₁ b₂ : Prop) : (a₁ ↔ b₁) → (a₂ ↔ b₂) → (a₁ ∧ a₂ ∧ a₁ ∧ a₂ ↔ b₁ ∧ b₂ ∧ b₁ ... |
bfa92ba04fff5ae0da526785265e28881a335e44 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/print_ax3.lean | 1c36701678c25f4e206c1967ae6e3095b879495d | [
"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 | 308 | lean | theorem foo1 : 0 = (0:num) :=
rfl
theorem foo2 : 0 = (0:num) :=
rfl
theorem foo3 : 0 = (0:num) :=
foo2
definition foo4 : 0 = (0:num) :=
eq.trans foo2 foo1
lemma foo5 : true = false :=
propext sorry
print axioms foo4
print "------"
print axioms
print "------"
print foo3
print "------"
print axioms foo5
|
905ca7e4bf1915ae617a429b1644e525029bcb4b | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/compare.lean | 5dd03daff8d5c6474e9b50a83852d143d4a4f111 | [
"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 | 8,239 | 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.synonym
/-!
# Comparison
This file provides basic results about orderings and comparison in linear orders.
## Definitions
* `cmp_le`: An `ordering` ... |
a3a4680bb4303b9cade595b7f09ac96389a3cf4d | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/expressions/boolean_test.lean | 1d49a113d65bf8d760b908936b6650e1cc945c06 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 177 | lean | import .boolean
def init_benv : benv := λ v, ff
def myFirstProg := bCmd.bAssm (bvar.mk 0) (bExpr.BLit ff)
def newEnv := cEval init_benv myFirstProg
#eval newEnv (bvar.mk 0) |
2eaa764fb7c5c49748db3c4757aafa1630aaf7fd | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/connected.lean | 6b12847670692f6087c5ae72995c484a131f2691 | [
"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 | 40,077 | 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 topology.subset_properties
/-!
# Connected subsets of topological spaces
In this file we define connected subsets of a topol... |
53a1e21062d40fd9e5937852be40c19a7ebdfebb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/perm_auto.lean | bce87e74d18d7749d30e1e79e513ebeb952f235f | [] | 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 | 30,085 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.bag_inter
import Mathlib.data.list.erase... |
9ec35b430d587062aa6db1b69e85eee0e4111900 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/combinatorics/simple_graph/adj_matrix.lean | 6363e3062da21dc518237a89e8ed9ce8e1135b1d | [
"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 | 3,154 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import linear_algebra.matrix
import data.rel
import combinatorics.simple_graph.basic
/-!
# Adjacency Matrices
This module defines the adjacency matrix ... |
f75cabb8b9a05787459a7048488e8dae1a1fff8a | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/theories/topology/order_topology.lean | 308835100c1337379f6ab1fad97607fae9cc251e | [
"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 | 3,241 | lean | /-
Copyright (c) 2016 Jacob Gross. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jacob Gross
The order topology.
-/
import data.set theories.topology.basic algebra.interval
open algebra eq.ops set interval topology
namespace order_topology
variables {X : Type} [lin... |
d3e0a9c6fd2c6d45ad8e3ed21ea98d4725dd8f61 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/whiskering.lean | f63f6ec9a485e35309ddc55ba3cbe5bf0d6d1c71 | [
"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 | 7,095 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.natural_isomorphism
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃ u₄ v₄
section
variables {C : Type u₁} [category.{v₁} C]
... |
bcbd5f539443fc3e0233ccd8260534b1539935cf | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/nat/bigops.lean | 4307166cff0b127136cd95406d8a4b42e36c1fef | [
"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 | 7,409 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Finite sums and products over intervals of natural numbers.
-/
import data.nat.order algebra.group_bigops algebra.interval
namespace nat
/- sums -/
section add_monoid
... |
3d1f9d48a0c6ba429aef8c38d452156b115034bb | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/metric_space/emetric_paracompact.lean | 39cd889359e506647849b4d4aab160857fdbfbc9 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,360 | lean | /-
Copyright (c) 202 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.emetric_space
import topology.paracompact
import set_theory.ordinal
/-!
# (Extended) metric spaces are paracompact
In this file ... |
c85e4c3335bb7af9d169955c9cfcf66c96afd2b3 | e4a7c8ab8b68ca0e53d2c21397320ea590fa01c6 | /src/data/polya/field/sterm.lean | babc4c2452a2bcbfad557225516411372339bd8a | [] | no_license | lean-forward/field | 3ff5dc5f43de40f35481b375f8c871cd0a07c766 | 7e2127ad485aec25e58a1b9c82a6bb74a599467a | refs/heads/master | 1,590,947,010,909 | 1,563,811,881,000 | 1,563,811,881,000 | 190,415,651 | 1 | 0 | null | 1,563,643,371,000 | 1,559,746,688,000 | Lean | UTF-8 | Lean | false | false | 8,134 | lean | import .basic
namespace polya.field
open nterm
--@[derive decidable_eq]
structure cterm (γ : Type) [const_space γ] : Type :=
(term : nterm γ)
(coeff : γ)
(pr : coeff ≠ 0)
namespace cterm
variables {α : Type} [discrete_field α]
variables {γ : Type} [const_space γ]
variables [morph γ α] {ρ : dict α}
instance : inhab... |
8a85c4f4ac6e3f6ad5f32dbb7875ab8ca786fc90 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/test/75/foo/Main.lean | fbeacd4c97339bf797d712b0d39f57d0a2970357 | [
"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 | 67 | lean | import Foo
def main : IO Unit :=
IO.println s!"Hello, {hello}!"
|
3e395cd9cdf2a84adb72f2eb99508667f641885f | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/topology/metric_space/antilipschitz.lean | 596c61b8444839447226aa2109e6611148eb5771 | [
"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 | 5,443 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.metric_space.lipschitz
/-!
# Antilipschitz functions
We say that a map `f : α → β` between two (extended) metric spaces is
`antilipschitz_with K`,... |
78253573671e9280b1e989edbacec29f66c772f1 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/619.hlean | 27e8565f5968f96c224c5c07a9236dd8098b975d | [
"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 | 312 | hlean | -- HoTT
open is_equiv equiv eq
definition my_rec_on_ua [recursor] {A B : Type} {P : A ≃ B → Type}
(f : A ≃ B) (H : Π(q : A = B), P (equiv_of_eq q)) : P f :=
right_inv equiv_of_eq f ▸ H (ua f)
theorem foo {A B : Type} (f : A ≃ B) : A = B :=
begin
induction f using my_rec_on_ua,
assumption
end
|
f180d1893191679a27b624c56225ecdceed6fef6 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/field_theory/subfield.lean | 7646e4832fa7991df4bbb05ed779dccb0eb52905 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,848 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.algebra.basic
/-!
# Subfields
Let `K` be a field. This file defines the "bundled" subfield type `subfield K`, a type
whose terms correspond to subfields o... |
d9ca257378cfc4a9e12c67789716a3c024f70b56 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/glue_data.lean | 422f45d391d19446cc017da70633ba28d5d07c47 | [
"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 | 12,568 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import tactic.elementwise
import category_theory.limits.shapes.multiequalizer
import category_theory.limits.constructions.epi_mono
import category_theory.limits.preserves.l... |
44764b10243af82fc3c4e171779febe3a8255c78 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/lifts_auto.lean | fe90170e859b459db0d9909a3f0a5f904d73be00 | [] | 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 | 6,884 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Riccardo Brasca
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.algebra_map
import Mathlib.algebra.algebra.subalgebra
import Mathlib.algeb... |
e5250aa4249ea49d80a9f5e682e9ce229273400e | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/bad_quoted_symbol.lean | a75c825d3e4cfb3b5e194ebbfebd85bbe3d1e4e7 | [
"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 | 152 | lean | notation a ` \/ ` b := a ∨ b
notation a `1\/` b := a ∨ b
notation a ` 1\/` b := a ∨ b
notation a ` \ / ` b := a ∨ b
notation a ` ` b := a ∨ b
|
837e94062dd932ce974ab408b9e63d4bbdd9c3d7 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Compiler/IR/ElimDeadBranches.lean | 357d3005ff261c501eeb6ca3a41d319582efe3bb | [
"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 | 9,650 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Reader
import Init.Data.Option
import Init.Data.Nat
import Init.Lean.Compiler.IR.Format
import Init.Lean.Compiler.IR.Basic
impor... |
167372458cfc04d40efc95ba2333f197f51c2d86 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/Tactic/Location.lean | ead32d6082b447657ed60a2b7b851894cb91906b | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,716 | 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.Tactic.Basic
namespace Lean.Elab.Tactic
inductive Location where
| wildcard
| targets (hypotheses : Array Name) (type : Bool)
/-
Rec... |
3f60c86cdcb6014b32761615f1aa26f3b33837da | 9d00e4b237465921fb33aa10eed92a2495ca2e46 | /negBotRules.lean | c043d43a54df4edd67379c22b68515bc11ac4d97 | [] | no_license | Bpalkmim/LeanNatD | 7756abf1ed7b0e7a3e3b9d16ad756018f5c70c7c | 2e73bb44e44b955839e7a0874cd7013fbfb9c4e3 | refs/heads/master | 1,610,999,141,530 | 1,475,515,895,000 | 1,475,515,895,000 | 69,893,600 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,094 | lean | namespace negBotRules
-- Requer o namespace de implicação
open implRules
print " "
print "Provas com NEG & BOT - início"
print " "
constant neg : Prop → Prop
constant Bottom : Prop
constant A : Prop
-- Definições
constant neg_intro {X : Prop} : (Π x : Proof X, Proof Bottom) → Proof Bottom → Proof (neg X)
constant ... |
8f7d9de71aa81eb896e1161ac7eb819bcbe7d617 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Leanpkg/Proc.lean | cd4db43195a73b3846a9be6b6adaa65f161f3e71 | [
"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 | 729 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
-/
namespace Leanpkg
def execCmd (args : IO.Process.SpawnArgs) : IO Unit := do
let envstr := String.join <| args.env.toList.map fun (k, v) =>... |
9fbea9e743b4d38d3a8c590dd85de8651c0808d3 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/tidy.lean | 0079c54baa3bf7e5283f77d5e4b31b1b18c531c8 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 3,084 | 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 tactic.ext
import tactic.auto_cases
import tactic.chain
import tactic.interactive
namespace tactic
namespace tidy
meta def tidy_attribute : user_attribut... |
0a748d54618d042e4303111acd17f909c79314c8 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/PassManager.lean | 2ec91334cb32412394888833134eb273bae42cee | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 5,950 | lean | /-
Copyright (c) 2022 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving
-/
import Lean.Attributes
import Lean.Environment
import Lean.Meta.Basic
import Lean.Compiler.LCNF.CompilerM
namespace Lean.Compiler.LCNF
/--
A single compiler `Pass`, c... |
a6e931e2a6018b01fdd12d39569a9ca8e7dbd816 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/category_theory/closed/cartesian.lean | e99ad286c72bcb4ac149fa6181222208e6a2a1c0 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 16,087 | lean | /-
Copyright (c) 2020 Bhavik Mehta, Edward Ayers, Thomas Read. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Edward Ayers, Thomas Read
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.constructions.preserve_bi... |
9b233ecafa87e349b49fa789dbb221bf158b3f2a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/dslope.lean | 594cc93865f6d48da6091470b392eab06e938845 | [
"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 | 6,410 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.deriv.slope
import analysis.calculus.deriv.inv
/-!
# Slope of a differentiable function
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any ... |
7c5a522f9189debef9a727f782239eed9f895f57 | ac49064e8a9a038e07cf5574b4fccd8a70d115c8 | /hott/algebra/homomorphism.hlean | 3cfa8c31b0830fbd91e92c135ecdc48e0b68b3d8 | [
"Apache-2.0"
] | permissive | Bolt64/lean2 | 7c75016729569e04a3f403c7a4fc7c1de4377c9d | 75fd8162488214a959dbe3303a185cbbb83f60f9 | refs/heads/master | 1,611,290,445,156 | 1,493,763,922,000 | 1,493,763,922,000 | 81,566,307 | 0 | 0 | null | 1,486,732,167,000 | 1,486,732,167,000 | null | UTF-8 | Lean | false | false | 6,175 | hlean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Homomorphisms between structures.
-/
import algebra.ring algebra.category.category
open eq function is_trunc
namespace algebra
/- additive structures -/
variables {A B ... |
48b8c88b077b3305d8748e83a1756b98fd464c1a | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/localization/norm.lean | 5eba4dbb697eaaada658a93e5a563e76f0726172 | [
"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 | 2,055 | lean | /-
Copyright (c) 2023 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.localization.module
import ring_theory.norm
/-!
# Field/algebra norm and localization
This file contains results on the combination of `algebra.norm`... |
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