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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e43149ee2870f55551c278b028552981d219c9c5 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/tactic25.lean | dfbd29bac55aca36b7e02616adce900294ae44ed | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 643 | lean | import logic
open tactic
definition my_tac1 := apply @eq.refl
definition my_tac2 := repeat (and_then (apply and.intro) assumption)
tactic_hint my_tac1
tactic_hint my_tac2
theorem T1 {A : Type.{2}} (a : A) : a = a
theorem T2 {a b c : Prop} (Ha : a) (Hb : b) (Hc : c) : a ∧ b ∧ c
notation `(` h `|` r:(foldl `|` (e r,... |
43a69cd85c48667c75536ba43c19439a28e292f0 | 99b5e6372af1f404777312358869f95be7de84a3 | /src/hott/init/path.lean | b8ddda1be3152dc424228029192077f7014e5e3e | [
"Apache-2.0"
] | permissive | forked-from-1kasper/hott3 | 8fa064ab5e8c9d6752a783d74ab226ddc5b5232a | 2db24de7a361a7793b0eae4ca5c3fd4d4a0fc691 | refs/heads/master | 1,584,867,131,028 | 1,530,766,841,000 | 1,530,766,841,000 | 139,797,034 | 0 | 0 | Apache-2.0 | 1,530,766,961,000 | 1,530,766,961,000 | null | UTF-8 | Lean | false | false | 33,550 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .meta.support .meta.simp_attr .meta.induction .path0
universes u v w
hott_theory
namespace ho... |
6fb18cbeb835ab4e98cb8e8fa045229ae5d3ccad | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/squarefree.lean | 57b7ffb8c596ee91171216b95c2f5fda8543c103 | [
"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 | 9,429 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import ring_theory.unique_factorization_domain
import ring_theory.int.basic
import number_theory.divisors
/-!
# Squarefree elements of monoids
An element of a monoid... |
7b50095cea4da658d6ddca30167e4c59d6f9f16b | b147e1312077cdcfea8e6756207b3fa538982e12 | /data/prod.lean | a17933cefe29824e5b0f126481e79308a58f37ad | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,195 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Extends theory on products
-/
import tactic.ext
universes u v
variables {α : Type u} {β : Type v}
@[simp] theorem prod.forall {p : α × β → Prop} : (∀ x, p x) ↔ (∀ a b... |
3da7a40a8b0ba922bc7167df047e1cb1c9a24278 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /library/init/meta/simp_tactic.lean | 65d42658cf53bc8d1cfec2e171ec73723106ea70 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 18,059 | 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.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences init.meta.quote
op... |
8c175e1c1d8160cc54fef298b9317149428a9132 | 70f8755415fa7a17f87402cde4651e9f4db1b5bb | /test/examples.lean | e2a908184c803abeca4dc5411c038ff8e5c9b5c5 | [
"Apache-2.0"
] | permissive | shingarov/qpf | ab935dc2298db12c87ac011a2e4d2c27e0bdef4b | debe2eacb8cf46b21aba2eaf3f2e20940da0263b | refs/heads/master | 1,653,705,576,607 | 1,570,136,035,000 | 1,570,136,035,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 903 | lean | import data.fix.parser.equations
universes u
data tree (α β : Type)
| nil : tree
| cons : α → (β → tree) → tree
-- #print prefix tree
-- #print tree.shape
-- #print tree.shape.internal
-- #print tree.shape.internal.mvfunctor
-- #print tree.shape.internal.mvqpf
-- #print tree.internal
-- #print tree
-- #print tree.mv... |
c0d73c8aaf254be05ba417a6ec7e43a1713b388e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/nat_antidiagonal.lean | 66f68b4a912f4f7811cce02f027a363de1e826bf | [
"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 | 4,957 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.finset.card
import data.multiset.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as finsets
This file defines the antidiagonals of ℕ × ℕ as finsets: the `... |
67e7aa8f7e7d3ceb8aee93b6ce5ce591aec85503 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Data/Lsp/TextSync.lean | eec6d0da902849bb1d15a85df90bb9cf81aa8bc0 | [
"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 | 2,815 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.Json
import Lean.Data.Lsp.Basic
/-! Section "Text Document Synchronization" of the LSP spec. -/
namespace Lean
namespace Lsp
ope... |
b0fb0019261f1d01a9f24da078332bdf3f6eb66e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/invalidInstImplicit.lean | 748bbf9e2bc3badf912bd637ba2807e435534922 | [
"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 | 29 | lean | def foo [Nat] (x : Nat) := x
|
9ebbef2a031f97da9a91c5efa900fd9fbadddeb9 | 7b02c598aa57070b4cf4fbfe2416d0479220187f | /algebra/ses.hlean | e03603d51cf3d546672fcccbd941b8f19b9d94a9 | [
"Apache-2.0"
] | permissive | jdchristensen/Spectral | 50d4f0ddaea1484d215ef74be951da6549de221d | 6ded2b94d7ae07c4098d96a68f80a9cd3d433eb8 | refs/heads/master | 1,611,555,010,649 | 1,496,724,191,000 | 1,496,724,191,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,508 | hlean | /-
Copyright (c) 2017 Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Egbert Rijke
Basic facts about short exact sequences.
At the moment, it only covers short exact sequences of abelian groups, but this should be extended to short exact sequences in any... |
219ef29bf7d6b3f0f2fdbf4761bc38336f21b744 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/polynomial/degree/lemmas.lean | 9b110e191ae7e9f2832cdc3220420ad593d3ceef | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,837 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
import tactic.interval_cases
/-!
# Theory of degrees of polynomials
Some of the main results... |
a20cd579f9d23c8e6c68451e719eece6a2525d46 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/casesUsing.lean | 9f26b0ca4a3df271d7376e7f0ea61c27e39d95b9 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 4,701 | lean | import Lean
open Lean
open Lean.Meta
open Lean.Elab.Tactic
universe u
axiom elimEx (motive : Nat → Nat → Sort u) (x y : Nat)
(diag : (a : Nat) → motive a a)
(upper : (delta a : Nat) → motive a (a + delta.succ))
(lower : (delta a : Nat) → motive (a + delta.succ) a)
: motive y x
theorem ex1 (p q : Nat) : p ≤ ... |
b225c6c8e28abc7f5b8fda173dac39253b9376d2 | 367134ba5a65885e863bdc4507601606690974c1 | /src/control/monad/basic.lean | d7469b2bfcc2d20264f6281c2849d4ad873f931d | [
"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 | 2,723 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import tactic.basic
import data.equiv.basic
/-!
# Monad
## Attributes
* ext
* functor_norm
* monad_norm
## Implementation Details
Set of rewrite rules and automat... |
ae9a8aff5e8c2ff594a5c8e858442916b479c84d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/ring/pi.lean | 12b0c29fef7827b6cebd46d5dceb53fa4a9491b6 | [
"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 | 7,877 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import tactic.pi_instances
import algebra.group.pi
import algebra.hom.ring
/-!
# Pi instances for ring
This file defines instances for ring, semiring and ... |
3f9448c308d4a25cee8d98422b1562e4fa589c65 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/metric_space/gromov_hausdorff.lean | 61f22c5b4d64ed7f972c85683399034177389dd7 | [
"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 | 55,265 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import set_theory.cardinal.basic
import topology.metric_space.closeds
import topology.metric_space.completion
import topology.metric_space.gromov_hausdorff_real... |
eacd4924b2572e0e8c81d6d90a7836c006eea4a7 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/normed_space/SemiNormedGroup.lean | 12a8511f7ce1950eb2ea9141cbd8237aec8ce829 | [
"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 | 4,700 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Riccardo Brasca
-/
import analysis.normed_space.normed_group_hom
import category_theory.concrete_category.bundled_hom
import category_theory.limits.shapes.zero
/-!
# T... |
5e704681c8f19d2515058ebeaaa29eadee141be8 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/generalizeTelescope.lean | aaf7b41fbf17a04105325e5f0a84352d115348fe | [
"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 | 1,392 | lean | import Lean
open Lean
open Lean.Meta
inductive Vec (α : Type) : Nat → Type
| nil : Vec α 0
| cons {n} : α → Vec α n → Vec α (n+1)
set_option trace.Meta.debug true
def nat := mkConst `Nat
def succ := mkConst `Nat.succ
def tst1 : MetaM Unit :=
withLocalDeclD `n nat fun n => do
let n1 := mkApp succ n
let vec... |
fb7602c536bc9c69e7aba7bec6a0aef9c830602a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/panicAtCheckAssignment.lean | 61c31c48eb9fed18813f163df3148e3827a52a75 | [
"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 | 209 | lean | import Lean
open Lean
open Lean.Meta
def bug : MetaM Unit := do
let i := 0
forallTelescopeReducing default fun ys _ => do
let mut j := 0
for y in ys do
throwError "#{i+1}"
j := j + 1
|
af942e5350a8bb2832ccc9f9464830886fecaab8 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/cond_tac.lean | e592e706588c0da8cb274231595409fc8c8cb187 | [
"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 | 1,130 | lean | import tactic
(*
simple_tac = Cond(function(env, ios, s)
local gs = s:goals()
local n, g = gs:head()
local r = g:conclusion():is_and()
print ("Cond result: " .. tostring(r))
return r
end,
... |
7a40fa0a58dc5463f1c9f4fda8f9fc6f0c1a1aaf | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/vm_override.lean | e5a2b394dfa04b6ea8453d6ece44b5664086688e | [
"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 | 8,742 | lean | /- Author: E.W.Ayers -/
meta def hello_override := `hello_override.name
@[vm_override hello_override] -- this means that the VM should replace the definition of `hello` with `hello_override` when evaluating.
meta def hello := `hello.name
#print hello -- should use `hello
#eval hello ... |
fbbdc92c868cde44ca81290db52cc883f7599aa4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/rbtree/insert.lean | 9103dd71a7b328491e95385b0fa9386fdb10db38 | [
"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 | 33,738 | 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
-/
import data.rbtree.find
universes u v
local attribute [simp] rbnode.lift
namespace rbnode
variables {α : Type u}
open color
@[simp] lemma balance1_eq₁ (... |
abe3a222efd681e50878215b36d4f44579069aea | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/data/multiset.lean | 86b5bcd9d98aba9721dfa412742c2e9d9f0ffc8f | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 127,910 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Multisets.
-/
import logic.function order.boolean_algebra
data.list.basic data.list.perm data.list.sort data.quot data.string
algebra.order_functions algebra.... |
c22e1486c156eda52ae4cd7f8f13fa5438986d93 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/equiv/ring.lean | 9bad11bf6e8481524a3bbb545f22604a70027909 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 11,369 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add
import algebra.field
import algebra.opposites
/-!
# (Semi)ring equivs
In this file we define extension of ... |
4e331d262caf6f3fb40ee5b134c592c559a78531 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/eval_tactic.lean | 34c81e1e1099769d0060c50a056654f9fcf4cbee | [
"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 | 62 | lean | #eval tactic.trace 42
#eval (tactic.fail "nope" : tactic nat)
|
2c45fb96ac73dc375e6e4701ef6138837017a7ba | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/ToString/Macro.lean | eb113feaf7afd8a86a21aee29606c7b642367ccb | [
"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 | 372 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Meta
import Init.Data.ToString.Basic
syntax:max "s!" interpolatedStr(term) : term
macro_rules
| `(s! $interpStr) => do interpStr.expa... |
8d2708e101720e45349530a07b2fb3ce8e2586c1 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/measure_theory/function/lp_space.lean | f813aac01dd093883b3f97a450a6cf72b75634af | [
"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 | 109,586 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import analysis.normed_space.indicator_function
import analysis.normed_space.normed_group_hom
import measure_theory.function.ess_sup
import measure_the... |
76eaeabd7ed743e63379a7e9cdbd710b9edb9e92 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/pointwise.lean | f965936ea9ec0e3c4eb884ffffd1ea61a0e0c276 | [
"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 | 16,371 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yaël Dillies
-/
import analysis.normed.group.pointwise
import analysis.normed_space.basic
/-!
# Properties of pointwise scalar multiplication of sets in normed s... |
6d18d86d1d3f6ed9207dfdd4638f6363fe61960e | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Elab/Quotation.lean | 025a6b0710ef67b524f8727732d1d069cc3b794a | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,247 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types.
-/
import... |
5da3c005ad48c9d265974001ce6b6d022d83c34d | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/geometry/manifold/manifold.lean | 9205a25a5ae93b19da14ef188b53e574ec6a73b6 | [
"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 | 27,191 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Manifolds
A manifold is a topological space M locally modelled on a model space H, i.e., the manifold is
covered by ope... |
822bb7b64964c7db08e008224fffe8afeae83fbd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/fieldCompletion.lean | 2d9ad2627ccafc4fab54ebbd169b29ac241fd1e3 | [
"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 | 99 | lean | import Lean
open Lean Elab
def f (s : DefView) : DefView := {
m
--^ textDocument/completion
}
|
8a8e8b0651543e48d6fd3b01a7ddb6848a51fbb4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/meta3.lean | b0205afc057678fafcbdafe53e6feead804709b4 | [
"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 | 50 | lean | check `foo.bla
vm_eval mk_num_name (`foo.bla) 10
|
68d358915b6a1faf6ac9adf6a14a2b7c80daba25 | 4a894698f2ae3f991490c25af3c13ea4435dac48 | /src/test/leantest.lean | 8aef291caca703ddccce439398bae5970dca682a | [] | no_license | gnujey/cs2120f21 | 8a33f636346d59ade049dcc1726634f434ac1955 | 138d43446c443c1d15cd2f17fb607c4f0dff702f | refs/heads/main | 1,690,598,880,775 | 1,631,132,566,000 | 1,631,132,566,000 | 405,182,739 | 1 | 0 | null | 1,631,299,824,000 | 1,631,299,823,000 | null | UTF-8 | Lean | false | false | 170 | lean | /-
Am I green?
Look below!
Is import blue?
No red squiggles?
Good to go!
-/
import algebra.add_torsor
/-
Otherwise something's wrong with your lean/mathlib install.
-/ |
3871ee74a209a0baa4d57826cf747da21d7df420 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/rat/nnrat.lean | e6c1963ed1fb4db3c921812a32aedbed84fce423 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 12,784 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.algebra.basic
import algebra.order.nonneg.field
/-!
# Nonnegative rationals
This file defines the nonnegative rationals as a ... |
cc9cca995d72a314f8f065f926ca49fed73304af | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/preadditive/injective.lean | bcb4693c4d9d91c9cff3d4d5bba18bc4f9c53c1c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,822 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Kevin Buzzard
-/
import category_theory.preadditive.projective
/-!
# Injective objects and categories with enough injectives
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> ... |
f2c0bc805ddd0179fe3641c5423c3e3c586a35ce | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/mathd-algebra-171.lean | dc4ed7b551010308675723b547dc91069f9ede2a | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 271 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (f : ℝ → ℝ) (h₀ : ∀x, f x = 5 * x + 4) : f 1 = 9 :=
begin
rw h₀,
linarith,
end
|
0bb7fe8742998c0912374f2f0335dd725cdf8609 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/function/locally_integrable.lean | af86545e34b2217e22bd01b3213e8bbdc0716f41 | [
"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 | 21,170 | lean | /-
Copyright (c) 2022 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.integral.integrable_on
/-!
# Locally integrable functions
A function is called *locally integrable* (`measure_theory.locally_integrable`) ... |
5cf14e155d958ad1e18d1bf85b1a8ee6af5cd0b2 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/ref1.lean | 10035aced504551d68ca3ef7623215064c13400e | [
"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 | 587 | lean |
def inc (r : IO.Ref Nat) : IO Unit := do
let v ← r.get;
r.set (v+1);
IO.println (">> " ++ toString v)
def initArray (r : IO.Ref (Array Nat)) (n : Nat) : IO Unit :=
n.forM $ fun i => do
r.modify $ fun a => a.push (2*i)
def showArrayRef (r : IO.Ref (Array Nat)) : IO Unit := do
let a ← r.swap ∅;
a.size.forM (fun i =>... |
3258477bc5fb8d2ed37dc88ed0ac18af96bca8e4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/set_theory/game/state.lean | 14f118bc5685dc8136b4896c689d13791563c8c7 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 8,847 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import set_theory.game.short
/-!
# Games described via "the state of the board".
We provide a simple mechanism for constructing combinatorial (pre-)games, by descri... |
f2c19069d2b1b8b5fc524cd03da9595d35125e16 | c2b0bd5aa4b3f4fb8a887fab57c5fc08be03aa01 | /variables/nary.lean | cefdc5b6576229fe5439f379a8f60b1b30d94fcb | [] | no_license | cipher1024/lambda-calc | f72aa6dedea96fc7831d1898f3150a18baefdf0b | 327eaa12588018c01b2205f3e4e0048de1d97afd | refs/heads/master | 1,625,672,854,392 | 1,507,233,523,000 | 1,507,233,523,000 | 99,383,225 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,082 | lean |
import util.data.sum
import ..lens
universes u v w
namespace nary
open nat lenses has_map
def nth' {α : Type u} (xs : list α) (i : fin xs.length) : α :=
xs.nth_le i.val i.is_lt
def sum_of (xs : list ℕ) : Type :=
(Σ i : fin xs.length, fin (nth' xs i))
inductive var (α : Type u) (xs : list ℕ) : Type u
| bound (v ... |
2318731ae789859dd8aca88dfebe0394884e52ab | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/abbrev_paren.hlean | 289bb075a59a1601f7aa359f3f8d4c017be53347 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 105 | hlean | import algebra.precategory.basic
open category
example {C : Precategory} : C = Precategory.mk C C := _
|
8efd4bf909cd9ef9eaebeb99ba46b3b6506a46f4 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/real/pi.lean | 61f93aa35ee4db8e170608911daf088ef54aeba6 | [
"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 | 7,425 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import analysis.special_functions.trigonometric
namespace real
lemma pi_gt_sqrt_two_add_series (n : ℕ) : 2 ^ (n+1) * sqrt (2 - sqrt_two_add_series 0 n) < pi :=
... |
a43f0a42c7adf88010b39be394d0104940e1f1b6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/witt_vector/frobenius.lean | 2828da0f0e644247b9f8374aaa0fc5910068a26f | [
"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 | 14,135 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.nat.multiplicity
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
import field_theory.perfect_closure
/-!
## The Frobenius o... |
bbb51679bf3a96de00a4609629c344f32c04eaf5 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/wfrecUnusedLet.lean | f095bf336c00aea6a3867690f0e480490cd929cc | [
"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 | 217 | lean | def f (n : Nat) : Nat :=
if h : n = 0 then
1
else
let y := 42
2 * f (n-1)
termination_by measure id
decreasing_by
simp [measure, id, invImage, InvImage, Nat.lt_wfRel]
apply Nat.pred_lt h
#print f
|
5abfa58e3984197b03b3159be8820aefce9652dd | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/floor.lean | 9a78bc1ffa8ff1b67e03f50bfb675b73f5329563 | [
"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 | 17,219 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import tactic.abel
import tactic.linarith
/-!
# Floor and ceil
## Summary
We define the natural- and integer-valued floor and ceil functions on l... |
f923167d4497d66af61f0935ef73cdc79ec6a3ab | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/smt/arith.lean | 7a2eaf8e44be799e5617c842f4b7e96b74feb4e9 | [
"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 | 1,324 | lean | import algebra.ordered_field
-- Arithmetic
constants (int real : Type.{1})
constants (int_has_zero : has_zero int)
constants (int_has_one : has_one int)
constants (int_has_add : has_add int)
constants (int_has_mul : has_mul int)
constants (int_has_sub : has_sub int)
constants (int_has_neg : has_neg int)
constants (int... |
37a06146091f942bc51103daad92563a72269c4f | 0f5090f82d527e0df5bf3adac9f9e2e1d81d71e2 | /src/michael/basic.lean | 153dcc246aa05ae797170f335927c6d4262cf77f | [] | no_license | apurvanakade/mc2020-lean-projects | 36eb42c4baccc37183635c36f8e1b3afa4ec1230 | 02466225aa629ab1232043bcc0a053a099fdb939 | refs/heads/master | 1,688,791,717,534 | 1,597,874,092,000 | 1,597,874,092,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,645 | lean | -- definitions copied from mathlib.hedetniemi/graph_theory/basic.lean & paths.lean
import data.equiv.basic
import logic.relation
import data.fintype.basic
import data.set.finite
import tactic
noncomputable theory
/-!
# Definitions of graphs
-/
universe variables v v₁ v₂ v₃ u u₁ u₂ u₃ u₄
structure directed_multigra... |
4d7498dc86d21669c9fdeeb4945e6b84515a1a27 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/quot.lean | d3107d8d2fd5f15fbe3a037eb4f9b0fc13f61267 | [
"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 | 27,745 | 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 logic.relator
/-!
# Quotient types
This module extends the core library's treatment of quotient types (`init.data.quot`).
## Tags
quotient
-/
variables {α... |
a9a30557034fa652e567f5784ce627ac89e5987b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/converter/binders.lean | 8199515c6ac781e9f26980ef587f2e6bf5676137 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,457 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Binder elimination
-/
import order.complete_lattice
namespace old_conv
open tactic monad
meta instance : monad_fail old_conv :=
{ fail := λ α s, (λr e, tactic.fail (t... |
f1b2f55be9c8cae09d31d9d1dd1848e35c71604c | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /Mathlib/Mathlib/Data/List/Basic.lean | cc808ad08db1f36295469fdab261658092b2f61c | [] | 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 | 43,470 | lean | import Mathlib.Logic.Basic
import Mathlib.Data.Nat.Basic
import Mathlib.SetNotation
import Lean
namespace List
/-- The same as append, but with simpler defeq. (The one in the standard library is more efficient,
because it is implemented in a tail recursive way.) -/
@[simp] def append' : List α → List α → List α
| [], ... |
e2543581d0036ac8d65b1fb8bb499ced704d11df | 7cef822f3b952965621309e88eadf618da0c8ae9 | /test/ext.lean | d28a68b10f7dd0b5dd14ecc87b0b5af5066ea1be | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 4,246 | 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 tactic.core
import tactic.ext
import tactic.solve_by_elim
import data.set.basic data.stream.basic
@[ext] lemma unit.ext (x y : unit) : x = y :=
begin
cases x, ca... |
d701420c6d889d8c38e3a8767e6d7bb632f7bdd7 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /algebra/functions.lean | 1db52b19aad9c475ca6b1ecca19e4dce6fa3dd5c | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,096 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
universe u
variables {α : Type u}
section
variables [decidable_linear_order α] {a b c : α}
lemma le_min_iff : c ≤ min a b ↔ c ≤ a ∧ c ≤ b :=
⟨λ h, ⟨le_trans h (min... |
5668e9eeb00d3f2a2a004d55a7c7e1b1fa5ac079 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/set_theory/game/short.lean | 8d2bb319530e504cb85ca67dc3396b0e7ff38dba | [
"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 | 9,227 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.fintype.basic
import set_theory.cardinal.cofinality
import set_theory.game.birthday
/-!
# Short games
A combinatorial game is `short` [Conway, ch.9][con... |
82c340e811203f4850f21e1f018d74acd01d1f55 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/category_theory/subobject/mono_over.lean | d23c9602c92f0e9db5a78acc80d7278c7deefaec | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 13,444 | 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.currying
import category_theory.limits.over
import category_theory.adjunction.reflective
/-!
# Monomorphisms over a fixed object
... |
38673f85a932695f8bd1d1fd1a8a74bf7f5698d5 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/special_functions/pow.lean | 64d40f77544cfa83e58306d04f14e4bf20df52f7 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 81,064 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel,
Rémy Degenne
-/
import analysis.special_functions.complex.log
import analysis.calculus.extend_deriv
imp... |
df18b293828e6ab6572d31fb113dae590f13545f | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/format.lean | 71fc0275004f723a1990f01fc1e8fa28f9a95d40 | [
"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 | 291 | lean | import system.IO
open list
vm_eval pp ([["aaa", "bbb", "ccc", "dddd", "eeeeee", "ffffff"], ["aaa", "bbb", "ccc", "dddd", "eeeeee", "ffffff"],
["aaa", "bbb", "ccc", "dddd", "eeeeee", "ffffff"], ["aaa", "bbb", "ccc", "dddd", "eeeeee", "ffffff"]],
[(10:nat), 20, 30])
|
0caeb3647efe7ea705b060cd6d1d337ea5dbec4b | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Lean/Data/Trie.lean | ac94949b4604ea668a47085e8228e5b78337f3a8 | [
"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 | 2,745 | 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
-/
import Lean.Data.Format
namespace Lean
namespace Parser
open Std (RBNode RBNode.leaf RBNode.singl... |
225808c36dbdcec37106087ad13e4b5d78367b18 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/uni_issue1.lean | 8aceff03da952beed691dc34257515d61434bb65 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 168 | lean | import logic
namespace experiment
inductive nat : Type :=
zero : nat,
succ : nat → nat
definition is_zero (n : nat)
:= nat.rec true (λ n r, false) n
end experiment
|
89070595232a4a144de1a25612a0f4b50c17885a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fun_like/fintype.lean | 168b503062b7b501de614ebb6097c0370799cb6e | [
"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 | 2,660 | lean | /-
Copyright (c) 2022 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import data.finite.basic
import data.fintype.basic
import data.fun_like.basic
/-!
# Finiteness of `fun_like` types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any chang... |
e51b25f28f2afabba1a631707012b2eaeb3be188 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/normed_space/SemiNormedGroup.lean | 357feed39e0f3bfc01a31e5c28a9f22176797ced | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 5,371 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Riccardo Brasca
-/
import analysis.normed_space.normed_group_hom
import category_theory.limits.shapes.zero
/-!
# The category of seminormed groups
We define `SemiNorm... |
bea6b7b89616aa12eed7bbea26407e8553e9a2c2 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/widget/widget_effects.lean | 84efa9c800985c4fc5778505b8f3f30039098524 | [
"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 | 643 | lean |
open widget
meta def effect_c : component tactic_state empty :=
widget.component.with_state unit nat (λ _, 0) (λ _ _ x, x) (λ _ x _, (x+1,none))
$ widget.component.with_effects (λ _ _, [
effect.reveal_position none (pos.mk 60 14),
effect.insert_text_relative 3 "hello",
effect.custom "hello" "world",
ef... |
9e8e2506a2fb80c577d281bbc5afc5def102fe2c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/padics/padic_norm.lean | fddd0d5ca3711f1c01401f22c5afdf1865bab1cb | [
"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 | 26,573 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import ring_theory.int.basic
import algebra.field_power
import ring_theory.multiplicity
import data.real.cau_seq
import tactic.ring_exp
import tactic.basic
/-!
# p... |
d2e187840eff63977f2550332f757eda0fef1180 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/linear_algebra/dual.lean | 87d32712c079bc814f17913626cb4addeb04bb7c | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 10,116 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Fabian Glöckle
-/
import linear_algebra.finite_dimensional
import tactic.apply_fun
noncomputable theory
/-!
# Dual vector spaces
The dual space of an R-module M is th... |
8e63eee506f9cbf2c0cf2783973c13b960b0ca11 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/number_theory/lucas_primality.lean | df69299eb74296058936ec194854929c37c13a57 | [
"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 | 2,755 | lean | /-
Copyright (c) 2020 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import data.zmod.basic
import data.fintype.basic
import field_theory.finite.basic
import group_theory.order_of_element
import tactic.zify
/-!
# The Lucas test for prim... |
1eaef3bd6799612d079165ed0a4e4eb1ae4fdd90 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/set/intervals/default.lean | 87d4a86d48dac34f6a568da12fa7c35668a845c8 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 60 | lean | import data.set.intervals.basic data.set.intervals.disjoint
|
80e791f2e41fa4eb05ed581fc3edf570a58c81a1 | cd221f6f26a5eaa584034502e1f2667c8d5c069c | /src/hello_world_extra.lean | bf71898b433a72e858bc2726a64d9141e109e74a | [] | no_license | NeilStrickland/lean_hello_world | 8487b02d463cb148c7ae5e44c7ad6bcced8922ab | f2cd1113e16a7e956e194a66cc3101b7ea324b34 | refs/heads/master | 1,587,743,393,549 | 1,550,847,133,000 | 1,550,847,133,000 | 172,084,162 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,240 | lean |
/- INTRODUCTION
This tutorial introduces the basics of interactive theorem proving in Lean.
Key points:
- basic boilerplate at the top of the file,
- basic grammar of stating and proving,
- how to interact with the proof assistant.
We will set ourselves the lofty goal of proving 2 + 2 = 4.
-/
/- COMMENT... |
bc0b916d135831d245894de3da0ae99f02fa1ec3 | 1dd482be3f611941db7801003235dc84147ec60a | /src/data/complex/basic.lean | ca0d0b9d1f691fce1ed8462f88ab7af97b2a47a2 | [
"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 | 18,254 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
The complex numbers, modelled as R^2 in the obvious way.
-/
import data.real.basic tactic.ring algebra.field_power
structure complex : Type :=
(re : ℝ) (... |
96c7120e6f096dc563380f72635f572ab4aa09ec | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/lie/cartan_subalgebra.lean | fca892ec70a60500c273ad3c2a3c8f92e9e00435 | [
"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 | 3,325 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.nilpotent
/-!
# Cartan subalgebras
Cartan subalgebras are one of the most important concepts in Lie theory. We define them here.
The standard example i... |
964e65179e1f560713721838e70f7e2ee429c6f2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/continued_fractions/computation/approximations.lean | 01b874ee646be82fdae133368b0cee995c999b78 | [] | 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 | 7,922 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.continued_fractions.computation.translations
import Mathlib.algebra.continued_f... |
d5b7ca2ca320f8fc658f05e7ff06204b2fdc8d3a | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/equiv/fin.lean | 49c0c40ba8ef75533bdf10bc8fa82939ad942d4a | [
"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 | 3,746 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau
-/
import data.fin data.equiv.basic
/-!
# Equivalences for `fin n`
-/
universe variables u
variables {m n : ℕ}
/-- Equivalence between `fin 0` and `empty`. -/
def fin_zero_equ... |
89014d2ed798174e7231a701de6e02dc08dd980f | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/data/real/irrational.lean | a351cbacb5759b824e90e6ffd14daa2b9a03a4f7 | [
"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 | 4,904 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne.
Irrationality of real numbers.
-/
import data.real.basic data.padics.padic_norm
local attribute [instance, priority 0]... |
3c6f92c5a25abe2ca26ac37df7adec98d4876736 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/lie_algebra.lean | c5c22565181556a427dd05adca355a60398204fc | [
"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 | 40,850 | lean | /-
Copyright (c) 2019 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import ring_theory.algebra
import linear_algebra.linear_action
import linear_algebra.bilinear_form
import linear_algebra.direct_sum.finsupp
import tactic.noncomm_ring
/-!
... |
867a56b48a31ea3faa9dc6a7f3713e5656d1fadc | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love11_logical_foundations_of_mathematics_demo.lean | 785eef44177367d1006a0a48953441de30ee3d01 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,264 | lean | import .love05_inductive_predicates_demo
/- # LoVe Demo 11: Logical Foundations of Mathematics
We dive deeper into the logical foundations of Lean. Most of the features
described here are especially relevant for defining mathematical objects and
proving theorems about them. -/
set_option pp.beta true
set_option pp... |
19aa006fcca81e770d6a4e69c0a393a422ecc626 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/char_zero/quotient.lean | 3588403521e3df3dec61ec04b0b254fa0fd6ab3e | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 2,830 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.char_zero
import group_theory.quotient_group
/-!
# Lemmas about quotients in characteristic zero
-/
variables {R : Type*} [division_ring R] [char_zero R] {... |
d8ca41b0898eb289a69d785fca08fae523d95533 | ae9f8bf05de0928a4374adc7d6b36af3411d3400 | /src/formal_ml/exp_bound.lean | e0b17952d5a145f9745281d96bc797ff51b8b26c | [
"Apache-2.0"
] | permissive | NeoTim/formal-ml | bc42cf6beba9cd2ed56c1cd054ab4eb5402ed445 | c9cbad2837104160a9832a29245471468748bb8d | refs/heads/master | 1,671,549,160,900 | 1,601,362,989,000 | 1,601,362,989,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,539 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
cd66f0cdb01dfb22eaba5698bc64885e4a645970 | 4a3109c7bb55b7ea698278061cbb921b8db93b7f | /mm0-lean/x86/lemmas.lean | 4266b74c130eb641c1b2444f265eff3ee7deaeb6 | [
"CC0-1.0"
] | permissive | LongJohnCoder/mm0 | d233200cd7baae9c521cacfbbe162b2ff3bd993f | 0c556a21af92d552e859fd42794f57398c3964cf | refs/heads/master | 1,600,930,472,594 | 1,574,627,400,000 | 1,574,627,400,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 56,120 | lean | import x86.x86 data.list.basic data.zmod.basic
namespace bitvec
theorem of_nat_zero (n) : bitvec.of_nat n 0 = 0 :=
by induction n; [refl, exact congr_arg (vector.cons ff) n_ih]
theorem of_nat_one (n) : bitvec.of_nat n 1 = 1 :=
by cases n; [refl, exact congr_arg (vector.cons tt) (of_nat_zero _)]
theorem from_bits_fi... |
4bfc8e71a57235d2ee4ae820a87274a87453c824 | 59aed81a2ce7741e690907fc374be338f4f88b6f | /src/math-688/lectures/lec-5.lean | e9f730de45a5834bafca00f4da1a4c5e57f7152f | [] | no_license | agusakov/math-688-lean | c84d5e1423eb208a0281135f0214b91b30d0ef48 | 67dc27ebff55a74c6b5a1c469ba04e7981d2e550 | refs/heads/main | 1,679,699,340,788 | 1,616,602,782,000 | 1,616,602,782,000 | 332,894,454 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 298 | lean | /- 9 Sep 2019 -/
-- characteristic vector for set membership
-- cardinality of power set of set with n elements is 2^n
-- number of k-subsets of [n]
-- binomial theorem
-- permutations
-- theorem stating that every permutation can be written uniquely as a product of disjoint cycles
-- fixed point |
1f153cf7e16ad83c5f43b1538637fe7bcef2b4b4 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/sum.lean | 37735ecd12e23095f17ad870b9bcfed1984d836e | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 1,930 | 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, Jeremy Avigad
The sum type, aka disjoint union.
-/
import logic.connectives
open inhabited eq.ops
notation A ⊎ B := sum A B
namespace sum
notation A + B ... |
c499a5eb4761816e17d6508ed534d196a7311497 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Control/Basic.lean | 84db5c300ba2ed055cbb885a915b70119f3d2b6b | [
"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 | 8,811 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Core
universe u v w
@[reducible] def Functor.mapRev {f : Type u → Type v} [Functor f] {α β : Type u} : f α → (α → β)... |
97bf2d193aaea5db2510c5cc395146851358e603 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/order/basic.lean | 9754f090fd0c6eaa1769439cae3b756ef121bb93 | [
"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 | 27,497 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorems -/
universes u v... |
9c656d4aa1461a718c708ba43195093527e0ebed | 7b681d6cc18477cf6b60470d9782923d3ea63915 | /W1-sample.lean | 03ed870f999ffc6c06142cca8712d1260945e341 | [] | no_license | osoulim/LEAN | a7458f597abbe5c36ebbb3f36eab29a4c60f5140 | 5e0dc240e86e392fdab4b2ffdcc3174c0cce7b66 | refs/heads/master | 1,591,850,481,195 | 1,561,547,647,000 | 1,561,547,647,000 | 193,852,039 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 421 | lean | constant a : ℕ
constants c b: nat
constant f : Type
constant g : f
constant e : bool
#check 132
#check e && e
constant func : nat -> (nat -> nat)
constant func1 : nat -> nat -> nat
#check func
#check func1
constants α β : Type
constant F : Type -> bool
def double (x : nat) : nat := x + x
#print double
#check do... |
f773a02c09650157e1e9db323c05c6536e988cdd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/trace_kabstract.lean | 4e0937d185bcc812cb86ad2b7d665de6c6cf64da | [
"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 | 157 | lean | set_option trace.rewrite true
set_option trace.kabstract true
example (f : nat → nat) (a b : nat) (h : f a = a) : f (f a) = a :=
begin
rw h,
rw h
end
|
aaef5103d44167e8aa97f0b3a7a253fa0b67ed6d | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/analysis/specific_limits.lean | a3c9ab78a758f943d7638998a8d7134f177a48a8 | [
"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 | 21,546 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of specific limit computations.
-/
import analysis.normed_space.basic algebra.geom_sum
import topology.instances.ennreal
noncomputable theory
open_locale ... |
a1f340b5b5dcebf04f3e440be8a493cdad0ca5a7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/lie/direct_sum.lean | 7e0c8e912fa05db8fa96031570d228a9e005c29d | [
"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 | 4,015 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.basic
import linear_algebra.direct_sum.finsupp
/-!
# Direct sums of Lie algebras and Lie modules
Direct sums of Lie algebras and Lie modules carry natu... |
c7df643dcf146b8b6e07dd2fdad7ff42d41aa9a4 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/rewrite.lean | 8675edc53c05aedb271b56781492d04e7db54ce7 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 1,516 | lean |
lemma L1 : ∀ (f : ℕ → ℕ) (k : ℕ), f 0 = 0 → k = 0 → f k = 0 :=
assume f k H1 H2,
begin
rw H2,
rw H1
end
--#check L1
lemma L2 : ∀ (x y : ℕ) (p : nat → Prop) (q : Prop), (q → x = y) → p y → q → p x :=
assume x y p q H1 H2 H3,
begin
rw H1; assumption
end
--#check L2
lemma L3 : ∀... |
b7b4a3b8e16d4cc28e67ea31623d5e09c84d9436 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/nonsingular_inverse.lean | 293a714959040f995bb41ce985b073d78216f1aa | [] | 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 | 13,651 | lean | /-
Copyright (c) 2019 Tim Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Tim Baanen.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.associated
import Mathlib.linear_algebra.determinant
import Mathlib.tactic.linarith.default... |
ba4e8ca8abb75dc27ffd1cfeb7a87e9ec59e0dbd | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/field_theory/normal.lean | 97bdbf980632f40d1caf626b8bd5b5d623be4372 | [
"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 | 15,226 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Thomas Browning, Patrick Lutz
-/
import field_theory.adjoin
import field_theory.tower
import group_theory.solvable
import ring_theory.power_basis
/-!
# Normal field extensions
... |
42e4a15101ccae566df3af84d37ec41bf28a697b | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/group_power/basic.lean | d04fe52e7c141643b0dde5bf3b998642951da61b | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,141 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.ordered_ring
import deprecated.group
/-!
# Power operations on monoids and groups
The power operation on monoids and groups.
We separa... |
01fc98c2884822605a9b4c7dbb88e152ba091c1d | 39c5aa4cf3be4a2dfd294cd2becd0848ff4cad97 | /src/Category.lean | 57563eec5fbadf3c9f8fc957f159bec91aeef2ff | [] | no_license | anfelor/coc-lean | 70d489ae1d34932d33bcf211b4ef8d1fe557e1d3 | fdd967d2b7bc349202a1deabbbce155eed4db73a | refs/heads/master | 1,617,867,588,097 | 1,587,224,804,000 | 1,587,224,804,000 | 248,754,643 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,074 | lean | import category_theory.category
import Terms
import CoC
import TypeCheck
/-!
This file will eventually contain a proof that CoC Types form a category.
We allow semantically equal but syntactical different types to be different
objects. In contrast, we consider morphisms only in the class of beta-equivalences
... |
572f7b4ed41bfca95f0aacdd364a7df60562e14c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/lattice.lean | 63d95e20fa561e50d58e39fa5c644f76231488d4 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,062 | 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,
Scott Morrison
-/
import data.list.count
import data.list.infix
import algebra.order.monoid.min_... |
c385380eb57109b1f8af379aabdf222699d9ab5d | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/context_sensitive/closure_properties/concatenation.lean | ab766c43c50544b252915b055da154358fec3a54 | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,368 | lean | import classes.context_sensitive.basics.inclusion
import classes.unrestricted.closure_properties.concatenation
variables {T : Type}
private def wrap_CS_rule₁ {N₁ : Type} (N₂ : Type) (r : csrule T N₁) :
csrule T (nnn T N₁ N₂) :=
csrule.mk
(list.map (wrap_symbol₁ N₂) r.context_left)
(sum.inl (some (sum.inl r.inp... |
97815cd484ec26e8d4cba9c2b5023249698fa177 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/euclidean_domain_auto.lean | 6c99a05de9da374f365efd856f945bce9cef72fc | [] | 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 | 13,325 | lean | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
Euclidean domains and Euclidean algorithm (extended to come)
A lot is based on pre-existing code in mathlib for natural number gcds
-/
import Mathlib.PrePor... |
db8eea196a8a8297bc0d75fe96cb96d284c60ecd | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/measure_theory/prod.lean | 52f7e0cda7d049c72f40017786c8cf5205221d90 | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,467 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.giry_monad
import measure_theory.set_integral
/-!
# The product measure
In this file we define and prove properties about the binary produ... |
52336860c0a8cfcbdd182b34970a4274920e0ac3 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/smul_with_zero.lean | 67362794ad1905ac51bcbec74531f01b40b2cd57 | [
"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 | 7,243 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.group_power.basic
import algebra.ring.opposite
import group_theory.group_action.opposite
import group_theory.group_action.prod
/-!
# Introduce `smul_wit... |
8825c159b884056a5daad7b676d425992a8ed690 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/data/nat/lemmas.lean | 177a01ab464bb015f075c55317a148ac9dbe119a | [
"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 | 42,857 | 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, Jeremy Avigad
-/
prelude
import init.data.nat.basic init.data.nat.div init.data.nat.pow init.meta init.algebra.functions
namespace nat
attribute [pre_smt] na... |
d11f957432615e55e410a361de74026e4a6ce20a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/field/ulift.lean | a515210095d804ea32982a68589ce624dc622f43 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,377 | lean | /-
Copyright (c) 2023 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import algebra.field.basic
import algebra.ring.ulift
/-!
# Field instances for `ulift`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a c... |
365aaf2c739312eb502c32a5684aed541b53164b | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/normed_space/normed_group_hom.lean | 4c27dd2657a71494b5fa3dcfc74ca96d1b0334b5 | [
"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 | 22,123 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import analysis.normed_space.basic
import topology.sequences
import topology.metric_space.isometry
/-!
# Normed groups homomorphisms
This file gathers definitions ... |
2a008fd136de9b3be897cbeb0fc81bf247379cb2 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/topology/algebra/group.lean | 829dc6364b859739e1ba5a22f3919c9699559cf3 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,065 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.pointwise
import group_theory.quotient_group
import topology.algebra.monoid
import topology.homeomorph
/-!
# The... |
539a7171ba7092af1c46dedd4dedfaf304551266 | 77b579b9a1295d88352dc4296573364c800e7441 | /lean-tutorial/leantut/MyPackage.lean | 4749da7abbc11b8fbc8417dc724b80d367845dc7 | [] | no_license | joelmccracken/playground | 47a6286b9ab7227597841bec0a469fa5327ec8ba | 6401d9a8eb67491ee589b85e0a84a0ff414938bd | refs/heads/master | 1,685,073,507,705 | 1,684,476,111,000 | 1,684,476,111,000 | 7,369,222 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 716 | lean | import data.nat.prime
open nat
theorem sqrt_two_irrational {a b : ℕ} (co : gcd a b = 1) :
a^2 ≠ 2 * b^2 :=
assume h : a^2 = 2 * b^2,
have 2 ∣ a^2,
by simp [h],
have 2 ∣ a,
from prime.dvd_of_dvd_pow prime_two this,
exists.elim this $
assume (c : nat) (aeq : a = 2 * c),
have 2 * (2 * c^2) = 2 * b^2,
by simp [eq.... |
164ac23c05fc8797e628b7a29f34d3a9c39c6da8 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/exp/arith.lean | e15b6fdd96778ac8213b38f1e0ffa7c6da82e2ad | [
"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 | 826 | lean | import tactic
using Nat
-- Manual proof using symmetry, transitivity, distributivity and 1*x=x.
theorem T1 (a b c : Nat)
(H1 : a = b + c) -- First hypothesis
(H2 : b = c) -- Second hypothesis
: a = 2*c -- Conclusion
:= calc a = b + c : H1
... = c + ... |
b4fa9ddcb0f7b3785ca067a392b107a443a455c7 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/advanced_addition/13.lean | 1891878e690aa78f4ddd06114ebf42b40b46b09c | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 144 | lean | lemma ne_succ_self (n : mynat) : n ≠ succ n :=
begin
induction n with m hm,
exact zero_ne_succ 0,
intro h,
exact hm (succ_inj h),
end
|
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