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5b80dfeab267e29ee13c243c45fb994c8683c290 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/heyting/boundary.lean | 192f0371025d86a59f2414cafbb13a66eca13c29 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,488 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.boolean_algebra
/-!
# Co-Heyting boundary
The boundary of an element of a co-Heyting algebra is the intersection of its Heyting negation with
itself. The b... |
f87b8ea328d69e8c09a00ba30a6db71b4884312c | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/sup_inf/infSumSets.lean | 53f3c1fec805b239076bd99b85c0e0a86c2184f6 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,399 | lean | import game.sup_inf.supSumSets
namespace xena -- hide
/-
# Chapter 3 : Sup and Inf
## Level 6
This level, very similar to the previous, showcases the infimum.
-/
def sum_of_sets (A : set ℝ) (B : set ℝ) := { x : ℝ | ∃ y ∈ A, ∃ z ∈ B, x = y + z}
/- Lemma
If $A$ and $B$ are sets of reals, then
$$ \textrm{inf} (A + B... |
b965eacdb25cd171c14561ed177aa29e0b96bf7f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/big_operators/basic.lean | 7db65eb99e4cc81d9a2bffe8de38ce1f5015e19c | [
"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 | 59,610 | 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 data.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
0204600202c8cef4729c7bf964f9563d73a4f54a | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/nat/pow.lean | f306cab9f46bb7bbabd9c1e3c3d4e63e665e0beb | [
"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 | 11,664 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.nat.basic
import algebra.group_power.order
/-! # `nat.pow`
Results ... |
6fae0ba3db6bd76648b384c4d69f969c23c6be1f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/argNameIfMacroScopes.lean | 0b414141a7134d1e9db9ac0774c5d7c5e268bf9c | [
"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 | 68 | lean | def g : Nat → Nat :=
fun _ => 0
def f (x : Nat) : Nat :=
g _
|
e8ae9c77003c75d770109616dd02cab97715e2ee | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/nat/choose/dvd.lean | 4a2403863bc0e0a0470de39805118980fb7e40d5 | [
"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 | 1,588 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Patrick Stevens
-/
import data.nat.choose.basic
import data.nat.prime
/-!
# Divisibility properties of binomial coefficients
-/
namespace nat
open_locale nat
namespace ... |
3de7474f24e191aa92a6c127d9a0a5aeee7857b7 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/PrettyPrinter/Formatter.lean | 50c1757f0c7de5d4ab7e1a7132fc6e3b01e6d2e8 | [
"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 | 23,372 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.CoreM
import Lean.Parser.Extension
import Lean.KeyedDeclsAttribute
import Lean.ParserCompiler.Attribute
import Lean.PrettyPrinter.Basic
/-!
The for... |
06d2e1f349c8c26319d8d32d5f55b53b4062a1fa | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Data/LOption.lean | 409752518b3865ead899116e8b85d695f7ce0428 | [
"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 | 800 | 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
-/
universe u
namespace Lean
inductive LOption (α : Type u) where
| none : LOption α
| some : α → LOption α
| undef : LOption α
deriving Inhabited,... |
2e5df5169ee1515ebc4fadac7951f4e9e85e99b6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/is_alg_closed/spectrum.lean | 8747b3ccb009f3bd7ff264afb02fcc9bd4a34d88 | [
"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 | 7,683 | lean | /-
Copyright (c) 2021 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import algebra.algebra.spectrum
import field_theory.is_alg_closed.basic
/-!
# Spectrum mapping theorem
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to thi... |
dae906dc0c513e19f02fe88fa6555aac041d9549 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/function/strongly_measurable/basic.lean | 610bde59e6b99fd8746a3cb3d6b264df033c58e6 | [
"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 | 88,964 | lean | /-
Copyright (c) 2021 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.bounded_linear_maps
import topology.metric_space.metrizable
import measure_theory.integral.lebesgue
import measure_theory.... |
353681d5308ffc40bdb79f84c6c1fa936fe89f4b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/adic_completion.lean | 9ac176a2b4f816cd46ebc5ea77df02cd3b753bb4 | [
"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 | 8,556 | 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 linear_algebra.smodeq
import ring_theory.ideal.operations
/-!
# Completion of a module with respect to an ideal.
In this file we define the notions of Hausdorff, prec... |
34ea21859b18abc16df027c7062b663a58b5c2f4 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Binary/Number.lean | bb8ecae8200ee8b45e51292737f8f2f81077a0bf | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 2,375 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
These functions mimic the ones in lean3/src/library/num.cpp
-/
import Lean
import Mathport.Binary.Basic
import Mathlib.Init.ZeroOne
namespace Mathport.Binary
op... |
8e644f19f6b403d081452a80e8b7f9280607c001 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/geometry/manifold/bump_function.lean | 425e72abc444ad7185ff6e772c40e1e8ecaa3152 | [
"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 | 14,165 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.specific_functions
import geometry.manifold.cont_mdiff
/-!
# Smooth bump functions on a smooth manifold
In this file we define `smooth_bu... |
1e5dbc8fd117fa11c62894d696922dac8b503442 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/asymptotics_auto.lean | 65ad010d2064187762332dc8f197c1cd96aa74db | [] | 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 | 86,270 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.normed_space.basic
import Mathlib.topology.local_homeomorph
import ... |
bf789bbcff2ebbee0e92f9a150113c3421c7af49 | 83bd3c3824dd952c0fef702bace6c34c78226af8 | /library/system/io.lean | 00cda83107ed6234a87938f78ae5b514c76cee58 | [
"Apache-2.0"
] | permissive | heruix/lean | cb0767295dc8cdfa2892601f04d3954606e81e03 | 39270fd46f49fecb30649f5ec527da7bbd4cdb13 | refs/heads/master | 1,611,580,745,403 | 1,519,814,958,000 | 1,519,843,130,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,480 | 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
... |
37785ad8b93baa45b7751222be92d27e42c864b1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/t5.lean | 904967a8130d3edf225186df8c9d4e095cc48cf4 | [
"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 | 330 | lean | constant N : Type.{1}
namespace foo
constant N : Type.{2}
namespace tst
constant N : Type.{3}
#print raw N
end tst
end foo
#print raw N
namespace foo
#print raw N
namespace tst
#print raw N N -> N
section
variable N : Type.{4} -- Shadow previous ones.
#print raw N
end
end tst... |
e0cf57cc938925361f1c1532cf5e57b83ee5ad24 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/algebra/group/hom.lean | 2353d1f0bca7caa3e081313dff9f26d3c10f299e | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 8,719 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.to_additive algebra.group.basic
/-!
# monoid an... |
96388db9f6b3c695ebfc2fe46e150c0b1d3b0a6e | cabd1ea95170493667c024ef2045eb86d981b133 | /test/super_examples.lean | b7456221084fda1197c98f7a533d473a0a8abb2f | [] | no_license | semorrison/super | 31db4b5aa5ef4c2313dc5803b8c79a95f809815b | 0c6c03ba9c7470f801eb4d055294f424ff090308 | refs/heads/master | 1,630,272,140,541 | 1,511,054,739,000 | 1,511,054,756,000 | 114,317,807 | 0 | 0 | null | 1,513,304,776,000 | 1,513,304,775,000 | null | UTF-8 | Lean | false | false | 2,767 | lean | import super
open tactic
def prime (n : ℕ) := ∀d, d ∣ n → d = 1 ∨ d = n
axiom nat_mul_cancel_one (m n : ℕ) : m = m * n → n = 1
example {m n : ℕ} : prime (m * n) → m = 1 ∨ n = 1 :=
by super with dvd_refl dvd_mul_of_dvd_left nat_mul_cancel_one
example : nat.zero ≠ nat.succ nat.zero := by super
example (x y : ℕ) : nat... |
0542999c9bbaefc03ff35ce0cdb228869b6b64e2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/monoid_algebra/basic.lean | b0df6344a58e8b21f4ecdc108ad17f3652d65c1c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 66,406 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury G. Kudryashov, Scott Morrison
-/
import algebra.algebra.equiv
import algebra.big_operators.finsupp
import algebra.hom.non_unital_alg
import algebra.module.big_oper... |
8dc471a0c2e28cf656e5ece9d9f6b977a76817a7 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/order/ideal.lean | 78cc1626d0bc213bd5c634f2cadf897374ffa2dd | [
"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 | 15,484 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import order.basic
import data.equiv.encodable.basic
import order.atoms
/-!
# Order ideals, cofinal sets, and the Rasiowa–Sikorski lemma
## Main definitions
Throughout thi... |
271e1bb6d6f824646b446901ce8338656f67bd01 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/LocalContext.lean | 21352f5b798cc67077d80a0f1dfa7ca112962fe3 | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 18,942 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.PersistentArray
import Lean.Expr
import Lean.Hygiene
namespace Lean
/--
Whether a local declaration should be found by type class search,... |
e29b71dc87ff3a7f2961982ec7159e0523a119a5 | 680b0d1592ce164979dab866b232f6fa743f2cc8 | /library/data/list/set.lean | aa3a0e2d85dffb8dce604d8a86854d1dc51b7504 | [
"Apache-2.0"
] | permissive | syohex/lean | 657428ab520f8277fc18cf04bea2ad200dbae782 | 081ad1212b686780f3ff8a6d0e5f8a1d29a7d8bc | refs/heads/master | 1,611,274,838,635 | 1,452,668,188,000 | 1,452,668,188,000 | 49,562,028 | 0 | 0 | null | 1,452,675,604,000 | 1,452,675,602,000 | null | UTF-8 | Lean | false | false | 37,033 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Set-like operations on lists
-/
import data.list.basic data.list.comb
open nat function decidable helper_tactics eq.ops
namespace list
section erase
variable {A ... |
f4090988f11e7e9e31ad189853af4f3dc1a78d2e | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/bounds.lean | 059c773fe90a79997d44815bf886e465dfcf5914 | [
"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 | 30,515 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import data.set.intervals.basic
import algebra.ordered_group
/-!
# Upper / lower bounds
In this file we define:
* `upper_bounds`, `lower_bounds` :... |
d81a2a56413900cca71843dcb17ec2f4e95b11a8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /archive/imo/imo1959_q1.lean | fe34d1b143489a79ef9643db3bf342c32d7eccc1 | [
"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 | 1,068 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import tactic.ring
import data.nat.prime
/-!
# IMO 1959 Q1
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4... |
c09cc283ae5ed506cf097094c6bd0075380028d7 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/tactic5.lean | 41387388e6e49bab9257572b4693502ad2959e9e | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 219 | lean | import logic
open tactic (renaming id->id_tac)
definition id {A : Type} (a : A) := a
infixl `;`:15 := tactic.and_then
theorem tst {A B : Prop} (H1 : A) (H2 : B) : id A
:= by (unfold id; state); assumption
check tst
|
2cac38228cbb27ee1e2ff22bb343b078381a4301 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/int/parity.lean | 491d39711cf3216ec69fce0d79cb83b8c7feb4c6 | [
"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 | 3,232 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The `even` predicate on the integers.
-/
import data.int.modeq
import data.nat.parity
namespace int
@[simp] theorem mod_two_ne_one {n : int} : ¬ n % 2 = 1 ↔ n % 2 = 0 :... |
9f89f6e45458cb928f36ee77fb0546c75553ccea | 94d8c57c0a90adc01592a2509d65a360540671a9 | /M1F/2017-18/Example_Sheet_03/solutions.lean | 6d4ab0dd239a72e467788f124355708b910ca72e | [] | no_license | TudorTitan/xena | ee58125263b84ca8787ea46778e7b4838c7b3057 | 389b9c40c43b26139722c88763f4d04d85467e0f | refs/heads/master | 1,628,408,454,654 | 1,510,265,443,000 | 1,510,265,443,000 | 110,169,835 | 0 | 0 | null | 1,510,264,043,000 | 1,510,264,043,000 | null | UTF-8 | Lean | false | false | 11,241 | lean | import xenalib.M1Fstuff algebra.group_power xenalib.square_root
-- Need to start off with some fake reals to do Q1,2
constant fake_reals : Type
@[instance] constant fake_reals_comm_ring : comm_ring fake_reals
@[instance] constant fake_reals_have_lt : has_lt fake_reals
-- we define a<=b to mean a<b or a=b. Axiom 3 s... |
33ea081d1561f2a375ce7e8f6a85622a77de4ad8 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /src/Lean/Elab/PreDefinition.lean | eb4b66cd932acb92fbd92daa1791069148733cfd | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 279 | 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.PreDefinition.Basic
import Lean.Elab.PreDefinition.Structural
import Lean.Elab.PreDefinition.Main
|
26023eb153d07a0ca042ab89a6abe5bd0774cb8a | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/t13.lean | 70c7ac41136f6bc5015fbcd9a684def7c88027d7 | [
"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 | 329 | lean | prelude constant A : Type.{1}
constant f : A → A → A
constant g : A → A → A
precedence `+` : 65
infixl + := f
infixl + := g
constant a : A
constant b : A
#print raw a+b -- + is overloaded
#check fun (h : A → A → A)
(infixl + := h), -- Like local declarations, local notation "shadows" global one.
a+b
|
fe97b46801ef5d51e8c8cc5087ef9929b8edb642 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/galois_stdlib/src/galois/data/list/with_mem.lean | b8bc30fab0912d03eb6d406be594c897cef193f2 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 3,034 | lean | namespace list
def map_with_mem {α} {β: Sort _} : Π(l:list α), (Π(x:α), x ∈ l → β) → list β
| [] f := []
| (h::r) f
:= f h (or.inl rfl)
:: map_with_mem r (λ(x:α) (p:x ∈ r), f x (or.inr p))
/- Elements in a list have a smaller size than the list. -/
theorem mem_sizeof {α} [s : has_sizeof α] {x : α} {l : list α} (p... |
1b6ee06944b0db0c88441d1e5240fc191be5f1ae | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/category_theory/comma.lean | fdb2933d659bc8657182b1ae099ad0b9cc53f824 | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 11,340 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin
-/
import category_theory.isomorphism
import category_theory.punit
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; se... |
5d1fd488d1ea2c2bb6248de23627d114ee1a96ba | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/meta/pexpr.lean | 91c171ae7f6e49e1088699cfef9468b12c0020c7 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 1,365 | 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.expr
universe u
/- Quoted expressions. They can be converted into expressions by using a tactic. -/
meta constant pexpr : Type
pro... |
696386fae5e54b2cc83854cd791ce29dcd5ba355 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /tests/lean/matchOfNatIssue.lean | e5814d7a69171b06ac3f92ad7d1605c4da608d20 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 490 | lean | example (x : Int) (h : x = 2) : Int.div 2 1 = x := by
simp [Int.div]
traceState
simp [h]
example (n : Nat) : Int.div (Int.ofNat n) (Int.ofNat 0) = Int.ofNat (n / 0) := by
simp [Int.div]
example (n : Nat) : Int.div (Int.ofNat n) 0 = Int.ofNat (n / 0) := by
simp [Int.div]
example (n : Nat) : Int.mul (Int.ofN... |
d85faf04a4298d5465790ccfa063c1d7538720f0 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/continuous_function/basic.lean | 62656ae578074e392452a2a53a7ce8a89b73397e | [
"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 | 10,682 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import data.set.Union_lift
import topology.subset_properties
import topology.tactic
import topology.algebra.ordered.proj_Icc
/-!
# Continuous bundled map
In this... |
11eb65774fa8bdc159fc1c5292300ecc5bd2b8f7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/antichain.lean | 0e62ef2616deb336acd4a333a8c55799ae0db51e | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,939 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.set.pairwise.basic
import order.bounds.basic
import order.directed
import order.hom.set
/-!
# Antichains
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any ch... |
4ba60e5a139646382ef442d289e419956fea4302 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /stage0/src/Lean/Meta/ExprDefEq.lean | adf674039737811a1d765f3f827838e3bb6d94c6 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,013 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.ProjFns
import Lean.Meta.WHNF
import Lean.Meta.InferType
import Lean.Meta.FunInfo
import Lean.Meta.LevelDefEq
import Lean.Meta.Check
import Lean... |
42daf7c464963e8cf7ed7cbcecbf17cfe56e14dc | 618003631150032a5676f229d13a079ac875ff77 | /src/init_/data/int/basic.lean | b7ddd977142006e5f6a93e885730f1b702796971 | [
"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 | 1,656 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Instances, copied from the core library by Johan Commelin
-/
import algebra.ring
instance : comm_ring int :=
{ add := int.add,
add_assoc := int.add_as... |
a5c3a6e763c13ddd2dbddce87163f34cbe4da6da | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/vm_eval_crash.lean | 34f90d1da4c2654c31d6b81a67a2fa6ca0024bf0 | [
"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 | 11 | lean | vm_eval 10
|
ee57d1c34e345d87e9007d301f68664e55ec32b1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/size_of1.lean | 454e12d6c0891a852ac6edec3b301bac17ea3e8a | [
"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 | 203 | lean | open tactic
example : sizeof [tt, tt] < sizeof [tt, ff, tt] :=
dec_trivial
example : sizeof [tt, tt] = sizeof [ff, ff] :=
dec_trivial
example : sizeof (3:nat) < sizeof ([3] : list nat) :=
dec_trivial
|
520c7503d4793c8b7bcc6c368955e3815c19a015 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /examples/lean/ex4.lean | adc9f50e3b387fc53aaac86cefbdb9a5bd9af419 | [
"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 | 163 | lean | import Int
import tactic
set_option simplifier::unfold true -- allow the simplifier to unfold definitions
definition a : Nat := 10
theorem T1 : a > 0 := (by simp)
|
efd503dcac70f0bf27383df6cecae91a023ce032 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/mvar2.lean | 482cb8a7669ed1fe780c31e26243c739d0cc058b | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,430 | lean | import Lean.MetavarContext
open Lean
def check (b : Bool) : IO Unit :=
unless b (throw $ IO.userError "error")
def f := mkConst `f []
def g := mkConst `g []
def a := mkConst `a []
def b := mkConst `b []
def c := mkConst `c []
def b0 := mkBVar 0
def b1 := mkBVar 1
def b2 := mkBVar 2
def u := mkLevelParam `u
def typ... |
55ee463f44f1a171693ba49acb3aa2f911dbbfcd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/dynamics/circle/rotation_number/translation_number_auto.lean | 4fad633bd2da0ef19dca2f9d221f04482f9b446f | [] | 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 | 35,568 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.specific_limits
import Mathlib.order.iterate
import Mathlib.order.semiconj_... |
15e2983451411c605edbce3aa6899e2fb7c41a37 | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/PrettyPrinter/Parenthesizer.lean | f59de8e8e99cf03dcc088c5494d9f1cd041954e2 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,581 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.CoreM
import Lean.KeyedDeclsAttribute
import Lean.Parser.Extension
import Lean.ParserCompiler.Attribute
import Lean.PrettyPrinter.Basic
/-!
The pa... |
382f0e85ed29319a593c7e27ec5a0c56dca0d9c5 | 367134ba5a65885e863bdc4507601606690974c1 | /src/field_theory/primitive_element.lean | 27cdb797622bbe626a545a1e267cbae17aa64532 | [
"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 | 7,812 | lean | /-
Copyright (c) 2020 Thomas Browning and Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning and Patrick Lutz
-/
import field_theory.adjoin
import field_theory.separable
/-!
# Primitive Element Theorem
In this file we prove the primitive el... |
134c59a514753a21b24a1d08c2cee15ca3d0d0cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/rename_var.lean | 5e5f3280dfcb5d54359bb3efda50d4085692efbd | [
"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 | 2,772 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import tactic.interactive
/-!
# Rename bound variable tactic
This files defines a tactic `rename_var` whose main purpose is to teach
renaming of bound variables.
*... |
a1627755872d35ef480c75f9e23fd04be1c6166f | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab14.lean | 5a0eb25e279414d1c67fbb516cdc74e916a14ac0 | [
"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 | 87 | lean | set_option pp.all true
universe variables u
check λ (A B : Type u) (a : A) (b : B), a
|
46ad0edb06d6cdc5b10efc50621a881f3e67b2be | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/filter/pointwise.lean | 0b3e90b529f1c9a1854b21933c7d9d3b49d41d9c | [
"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 | 35,605 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yaël Dillies
-/
import data.set.pointwise
import order.filter.n_ary
import order.filter.ultrafilter
/-!
# Pointwise operations on filters
This file defines pointwise op... |
5746d4167beea76077f302ca47952a38c89ade36 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/data/function_transfer.lean | 008d2a44d5d97747c877911984ef43ce76eea781 | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,132 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
The formation of function types `α → β` is functorial with respect
to equivalences of `α` and `β`. This should be placed in some
more general context.
-/
import da... |
d1c815cefe68cdf75f02a9cdb4a9a3e5159cea4d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/number_theory/cyclotomic/basic.lean | df2ab5d3a0fb8f55292336df07503b3948ea1470 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 27,045 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.polynomial.cyclotomic.basic
import number_theory.number_field
import algebra.char_p.algebra
import field_theory.galois
import analysis.complex.p... |
2771b379a8e48e04a27784bf71a6d89fbba2809b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/689.lean | d11d5f4fad5aef36a1adade81675abedf55d2020 | [
"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 | 107 | lean | example (x : Nat) : True :=
match h:x with
section end
structure A where
h : Nat := 1
h2 : h ≠ 0 := by
|
155296b0660a8d45ba40afbd64c91677ff58742c | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/Problem_sheets/sheet2.lean | aed647e8698ddc2bb5e9bbafe70ac2be337abc42 | [
"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 | 9,459 | lean | import data.nat.prime
import data.nat.modeq data.int.modeq
import analysis.real
import tactic.norm_num
import algebra.group_power
import data.int.basic
import M3P14.order
import chris_hughes_various.zmod
import M3P14.lqr
import M3P14.phi
open nat
-- Questions:
-- Compute 210 449 and 605/617 using quadratic reciprocit... |
153698defa096ea637026254acf8667c5f1552b3 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/category/CommRing/colimits.lean | 49e31486aeaeb58f5c4484986a1f1b24a480eb8c | [
"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 | 12,653 | 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 algebra.category.CommRing.basic
/-!
# The category of commutative rings has all colimits.
This file uses a "pre-automated" approach, just as for `Mon/colimit... |
ff864734d2263140742cba3b510b37f37d12f6ec | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/order/hom/monoid.lean | 5d9ab16c0c6dee7743826243a7b85abef66e9b1e | [
"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 | 19,132 | 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 algebra.hom.group
import algebra.order.with_zero
import order.hom.basic
/-!
# Ordered monoid and group homomorphisms
This file defines morphisms between (additiv... |
b41d9a8443b8f3c6844a35372fb42ff51fc542c8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/lie/ideal_operations.lean | 296c587941a10bd70242b9a4acd4ed1e383fa42d | [
"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 | 11,544 | 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.submodule
/-!
# Ideal operations for Lie algebras
Given a Lie module `M` over a Lie algebra `L`, there is a natural action of the Lie ideals of `L`
on ... |
6c3e9a5a861d3fc8afc0c946e54eb2f677988c84 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/deps/x86_semantics/src/X86Semantics/BufferMap.lean | 23b400245d456cefe953319435d5d6d761d67ae4 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 2,146 | lean | /- A map from indexes onto buffers, specialised to bytes -/
structure buffer_map.entry.{u} (k : Type u) : Type u :=
(start : k)
(value : ByteArray)
-- distance here is essentially subtraction. distance k k' < 0 iff k < k'
structure buffer_map.{u} (k : Type u) (distance : k -> k -> Int) :=
(entries : List (buf... |
abf77a6d4366439b6ec3dbea47721ef09c6382aa | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/W/cardinal.lean | 849d41a3194fc31c1b2169d730e9664fd45b2b7a | [
"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 | 2,830 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import set_theory.cardinal_ordinal
import data.W.basic
/-!
# Cardinality of W-types
This file proves some theorems about the cardinality of W-types. The main result is
`... |
27eca4dbfc6524c9067e3841330748f66283ce68 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/group/semiconj.lean | b47b881c6bcd948dd797091a29c8175e0e688f9a | [
"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 | 7,690 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
Some proofs and docs came from `algebra/commute` (c) Neil Strickland
-/
import algebra.group.units
/-!
# Semiconjugate elements of a semigroup
## Main definitions
... |
2eda50cc3770fa1de1717b767c86e255a44cd482 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/convex/slope.lean | dd5cc0fac92730d0e8e23b4ba1f9a60f20e96fc5 | [
"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 | 10,406 | lean | /-
Copyright (c) 2021 Yury Kudriashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudriashov, Malo Jaffré
-/
import analysis.convex.function
/-!
# Slopes of convex functions
This file relates convexity/concavity of functions in a linearly ordered field and t... |
d0598257802082c67a937fc806b246c6dec55d3c | 28be2ab6091504b6ba250b367205fb94d50ab284 | /src/game/world3/level7.lean | b7021c143f634beb8dc14012278839f27f78dec2 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 1,932 | lean | import game.world3.level6 -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 7: `add_mul`
We proved `mul_add` already, but because we don't have commutativity yet
we also need to prove `add_mul`. We have a bunch of tools now, so this won't
be too hard. You know what -- you can do this one by inductio... |
4fad580c6f58d7d0d32fb07e14b88ff384585b7b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/essentially_small.lean | cb4fa7f70fd7751ae1e53c891b1e6f90090c2753 | [
"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 | 7,620 | 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 logic.small.basic
import category_theory.category.ulift
import category_theory.skeletal
/-!
# Essentially small categories.
> THIS FILE IS SYNCHRONIZED WITH ... |
e55fe60f9ae8c3afa768261c8a9bc802bb742c6e | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-136.lean | 6b577e0f8bbea43f3477fda59eaa2af14deecc75 | [
"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 | 292 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import tactic.gptf
import data.nat.basic
import data.real.basic
example (n : ℕ) (h₀ : 123 * n + 17 = 39500) : n = 321 :=
begin
linarith,
end
|
ce368d8a9886b2d4415f70251b08a1e8ea057c11 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Modifiers.lean | 3048be1280219fcf5f7b7dc9e40d191a7e0974a0 | [
"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 | 2,039 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Environment
namespace Lean
builtin_initialize protectedExt : TagDeclarationExtension ← mkTagDeclarationExtension `protected
@[export lean_add... |
98f3158f6156f7f7041f5f941a57a26327c98b53 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/char_p/exp_char.lean | a17a5b34cea7674f5252a6a50e1014e4acd347b0 | [
"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 | 4,139 | lean | /-
Copyright (c) 2021 Jakob Scholbach. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob Scholbach
-/
import algebra.char_p.basic
import algebra.char_zero
import data.nat.prime
/-!
# Exponential characteristic
This file defines the exponential characteristic and e... |
6ae9e204964597dcccb41a94ff0b0f5da80324c2 | 2ee768fce4d0783536570385ee340d97e2411436 | /src/q_prop.lean | 54bd36f024a3097243cb294bf753d5b61e070dce | [] | no_license | agjftucker/exists-unique | 835cf0c0ec622d49dbceb84be37db62e6ab8a6d0 | 1fba6035a08347f424c765d8a1c56b1a15c8abbe | refs/heads/master | 1,683,445,592,336 | 1,622,649,822,000 | 1,622,649,822,000 | 309,485,697 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,075 | lean | import q_def
local prefix `𝒫`:100 := λ {α : Type} (s : finset α), {t // t ≤ s}
section
variables {α : Type*} [semilattice_sup_bot α]
/-- To derive our conclusions about `q r` we require of relation `r` certain abstract properties.
Let `r b` denote the set comprising those elements `c` for which `r b c`. Then `r` is... |
b0bf1fcd13815d7cd94baeafddb373fec70ea394 | 9845f9502cdf644282e3a34b74fa995fc33d6752 | /REDUNDANCY[WEB].lean | 910a16b660f4e7951fd04200275720c765ff198a | [] | no_license | Robilsu/Theorem-of-Branch-Redundancy | cc430d761dade4bb723c88a2a8709b7e47081171 | 918803bc047f2340e0f01d470939d077f7acefce | refs/heads/main | 1,691,744,940,519 | 1,632,346,370,000 | 1,632,346,370,000 | 365,813,983 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 88,561 | lean | /- To run this project, load the contents of this file at:
-- https://leanprover-community.github.io/lean-web-editor
-- You can either copy-and-paste it or use the load function.
-- The Lean web editor will take up to some minutes to load fully and process the code.
-- Do not worry! The waiting is normal and happens ... |
029d81dc0d4efc82e67a6a5a54479f8c7b4f5115 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/calculus/implicit.lean | ee25f945f903b85ac95bc41db77a44eeb007b2c0 | [
"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 | 20,145 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.inverse
import analysis.normed_space.complemented
/-!
# Implicit function theorem
We prove three versions of the implicit function theore... |
3c7f9a6d24b55322ec7a25d31ffee5e46a49e2e5 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/category_theory/limits/shapes/terminal.lean | 222fd218aae03742cd433fc1d9ec2b602bacb3d9 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,079 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.pempty
import category_theory.limits.limits
/-!
# Initial and terminal objects in a category.
## References
* [Stacks: Initial ... |
de23f3d6260d66cc392148e01c77fe98a1ab9f2f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/uni_var_bug.lean | 38a0052c9ec658e4f54d7a52d64e5c72f9d483e4 | [
"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 | 309 | lean | import logic.eq
section
universe variable u
variables {A B : Type.{u}}
theorem foo (H : A = B) : A = B := H
theorem bar {C D : Type} (H : C = D) : C = D :=
foo H
end
universe variable u
variables {A B : Type.{u}}
theorem foo2 (H : A = B) : A = B := H
theorem bar2 {C D : Type} (H : C = D) : C = D :=
foo2 H
|
3c0b5e00cfde3aa9374f31373b9d46b2e2f21fcd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/initial_seg.lean | 8b0a9fdc8aa33e2c71448002bb8bbf0d06dee011 | [
"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 | 18,110 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import order.rel_iso.set
import order.well_founded
/-!
# Initial and principal segments
This file defines initial and principal segments.
## Mai... |
d1a6bb2ab81d2b81a5635ebac413e0ea5e651927 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world3/level8.lean | e9d68c94e3c66d271e5655f9c536dc90f56cab45 | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 364 | lean | import mynat.definition
import mynat.mul
import world3.level1
import world3.level6
namespace mynat
lemma mul_comm (a b : mynat) : a * b = b * a :=
begin [nat_num_game]
induction b with d hd,
{
rw mul_zero,
rw zero_mul,
refl,
},
{
rw mul_succ,
rw succ_mul,
... |
a4b4d2e4ec7e1700e6b953f9dadcb74e70ff7678 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/group_action/big_operators.lean | 3c799badb1f36162b02116fce9fcd19ab31581fb | [
"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 | 1,827 | 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 algebra.big_operators.basic
import data.finset.basic
import data.multiset.basic
import group_theory.group_action.defs
/-!
# Lemmas about group actions on bi... |
bcc493eba5b93f8f829b73b11a648c2b8e1fd007 | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/valuations/basic.lean | 56a0200a0c74b1c7e13fb558ca3a386b37e752e4 | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 9,292 | lean | import data.nat.enat
import data.real.basic
import data.real.cau_seq
import data.nat.choose.basic
import algebra.group_power.basic
import ring_theory.ideal.basic
import ring_theory.principal_ideal_domain
import ring_theory.unique_factorization_domain
import analysis.special_functions.pow
import topology.basic
import f... |
760790c4a3f9604ecdafd1eaca8f7e3f21e65d40 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/impByNameResolution.lean | 04085509239cae87196d6422d17e83af2e11d8a3 | [
"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 | 103 | lean | --
namespace Foo
def f (x : Nat) : Nat := x + 1
@[implemented_by f] opaque g : Nat → Nat
end Foo
|
b55947a28bfb088f55458754bbd8c567f36bc109 | dc253be9829b840f15d96d986e0c13520b085033 | /spectrum/trunc.hlean | c58b3f92d6e2c1407cae95fe8d17f2d7220f8c8c | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 11,244 | hlean | /-
Copyright (c) 2017 Floris van Doorn and Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Ulrik Buchholtz
Truncatedness and truncation of spectra
-/
import .basic
open int trunc eq is_trunc lift unit pointed equiv is_equiv algebra E... |
e597cfbe2db3026b21fa5f86cb8227c9e5a2e038 | 6df8d5ae3acf20ad0d7f0247d2cee1957ef96df1 | /notes/ConceptsSoFar(9.17.19).lean | a3fe2cd0e1b088c575c4d309242dc5962779dbe0 | [] | no_license | derekjohnsonva/CS2102 | 8ed45daa6658e6121bac0f6691eac6147d08246d | b3f507d4be824a2511838a1054d04fc9aef3304c | refs/heads/master | 1,648,529,162,527 | 1,578,851,859,000 | 1,578,851,859,000 | 233,433,207 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 525 | lean | /-
Concepts So Far
Terms
Literal
Data: Nat, String, Bool
Function: Lambda abstraction
Identifier: name for a value
Application: ?
Values: The evaluation of a term creates a value
Definitions: binding of an identifier to a set of terms.
Evaluations
... |
02e3aea9aa060aee0ec0746ab07af20d9ad7111f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/469.lean | 00610e8d7612939766d941693900408dd63abcda | [
"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 | 112 | lean | notation "(+)" => HAdd.hAdd
#check ((+) : Nat -> Nat -> Nat)
#check ((+) 2 : Nat -> Nat)
#check ((+) 2 3 : Nat)
|
e691a8b163299f4d2f25f0ea1de4ee3de30a4b1c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/sigma/basic_auto.lean | d3fb4e7d7b639ffbe97e926fb021af0f2f57586f | [] | 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 | 1,107 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.logic
import Mathlib.Lean3Lib.init.wf
universes u v
namespace Mathlib... |
aa30041846717a6fd7edce5872bb25c172588ce0 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/polynomial/ring_division.lean | c626f5d33c862645ea9f59eb4074fcc9fb9b4508 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,150 | 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, Johan Commelin
-/
import data.polynomial.basic
import data.polynomial.div
import data.polynomial.algebra_map
import data.se... |
c361e7d4cb8fc5945892a07b122287a6928bea82 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/topology/path_connected.lean | dec86d838698913f0ab28891687ef6551659bd59 | [
"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 | 33,406 | lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.unit_interval
import topology.algebra.ordered.proj_Icc
import topology.continuous_function.basic
/-!
# Path connectedness
## Main definitions
In th... |
1cd9e2a037cf2f47652a5c5cf1b4455a0749f53a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/succ_pred/relation.lean | 15a145eeb1af0b34e4ecd9dd5534680101ff283f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,675 | 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 order.succ_pred.basic
/-!
# Relations on types with a `succ_order`
This file contains properties about relations on types with a `succ_order`
and their cl... |
387bf2684651e29263a0f01e52c0647026607e53 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/sigma.lean | 2a287c6c7dbe95e993d1f4be124a0000bdce7d80 | [
"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 | 3,034 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
Sigma types, aka dependent sum.
-/
import logic.cast
open inhabited sigma.ops
override eq.ops
namespace sigma
universe vari... |
111d4334159120b2874ff548527ebf41ba412a4b | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/padics/padic_norm.lean | d61e5cf19d0765f44c7e44a77f47ef564a23a229 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 17,017 | 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 data.rat algebra.gcd_domain algebra.field_power
import ring_theory.multiplicity tactic.ring
import data.real.cau_seq
import tactic.norm_cast
/-!
# p-adic n... |
6f1c572e752ff4621843867823a37ff728a8ea94 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/linear_algebra/multilinear.lean | 92c547b6d03beb771de6551727c2ccabeb2008ee | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 23,444 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic
/-!
# Multilinear maps
We define multilinear maps as maps from `Π(i : ι), M₁ i` to `M₂` which are linear in each
coordinate. Here... |
0f5bfa6990d70548765021f30fe306bac90582b4 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/polynomial/monic.lean | e51b2507b3bbcd7aa4f03f979ea1dfaac9f21290 | [
"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 | 15,782 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.reverse
import algebra.associated
/-!
# Theory of monic polynomials
We give several tools for pro... |
4352c2c81b14a693dc0c89a77a2bf416bcc278a4 | a1179fa077c09acc49e4fbc8d67084ba89ac4f4c | /tutorials/src/solutions/all.lean | e71eae63e6ab9d13833f751597c6b717ff837dcf | [] | no_license | Seeram/Lean-proof-assistant | 11ca0ca0e0446bacdd1773c4c481a3653b2f1074 | e672d46e0e5f39d8de2933ad4f4cac095ca6094f | refs/heads/master | 1,682,754,224,366 | 1,620,959,431,000 | 1,620,959,431,000 | 299,000,950 | 0 | 1 | null | 1,620,680,462,000 | 1,601,200,258,000 | Lean | UTF-8 | Lean | false | false | 283 | lean | import 07bis_abstract_negations
import 07_first_negations
import 04_exists
import 06_sub_sequences
import 05_sequence_limits
import 02_iff_if_and
import 08_limits_negation
import 09_limits_final
import 01_equality_rewriting
import 03_forall_or
import tuto_lib
import 00_first_proofs
|
eb39bdb1f9537047e3a035f50f012e9d5e1d3741 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/dfinsupp/multiset.lean | 3d1da56331209ffbf2ac8f7f7b2081cc0dfc774c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,953 | 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 data.dfinsupp.order
/-!
# Equivalence between `multiset` and `ℕ`-valued finitely supported functions
This defines `dfinsupp.to_multiset` the equivalence between `Π... |
37ac84fd2e46f80051a1ccf00f728e693999c0b8 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /enriched/enriched_category.lean | b9d2553d5c0b7368e4e7a55ad28ca08f08f8515c | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 2,390 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import ..monoidal_categories.monoidal_category
namespace tqft.categories.enriched
open tqft.categories
open tqft.categories.monoidal_category
st... |
c053a2d497bcb1a13e7e9ae3c3c4358adcb6e9b8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/graded_algebra/homogeneous_localization.lean | cae0fdc5645392fc99f048f7a42db026624dee80 | [
"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 | 19,804 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Eric Wieser
-/
import ring_theory.localization.at_prime
import ring_theory.graded_algebra.basic
/-!
# Homogeneous Localization
## Notation
- `ι` is a commutative monoid;
... |
90a9a72d84c3ed39f817c4a1a3f6fb4338e012b2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/ring/basic.lean | 9b60f938c03a93d6ba5b13b81a809dad96bbb0f0 | [
"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 | 5,777 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Yury Kudryashov, Neil Strickland
-/
import algebra.ring.defs
import algebra.hom.group
import algebra.opposites
/-!
# Semirings and r... |
81a7bca984fa058f0cade0e10dbf0aca894518e0 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /leanpkg/leanpkg/manifest.lean | 1073926d01dddd0f433877bfbd7addb37db815b3 | [
"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 | 3,161 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import leanpkg.toml system.io
namespace leanpkg
inductive source
| path (dir_name : string) : source
| git (url rev : string) : source
namespace source
def f... |
04573425e326d12132ecc2f1af1374ed2d2fb4f3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/divisors.lean | 539e0e764b49d7403b1ae25a5bac7a4f1b5fd930 | [
"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 | 16,514 | 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 algebra.big_operators.order
import data.nat.interval
import data.nat.prime
/-!
# Divisor finsets
This file defines sets of divisors of a natural number. This... |
c58ec954518a43530d3572752411a0e97f2f25ce | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/coeSort1.lean | 0b68a869debb18a0a8c114a9a21062731e5e1d89 | [
"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 | 273 | lean |
universes u
def Below (n : Nat) : Nat → Prop :=
(· < n)
def f {n : Nat} (v : Subtype (Below n)) : Nat :=
v + 1
instance pred2subtype {α : Type u} : CoeSort (α → Prop) (Type u) :=
CoeSort.mk (fun p => Subtype p)
def g {n : Nat} (v : Below n) : Nat :=
v.val + 1
|
9371de2f956c780fa6d270cca3c0c796a65ad117 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/polynomial/degree/card_pow_degree.lean | d5838fe31283fe049e78926610fd73cbecb5db95 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,676 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.order.euclidean_absolute_value
import data.polynomial.field_division
/-!
# Absolute value on polynomials over a finite field.
Let `Fq` be a finite field of... |
a16e7e9e50c970ed0964342e29d38cb84e3bf229 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/theories/analysis/sqrt.lean | 3631344d924f0cde7024c0f369b4c29a9eb65334 | [
"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 | 3,197 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Jeremy Avigad
The square root function.
-/
import .ivt
open analysis real classical topology
noncomputable theory
private definition sqr_lb (x : ℝ) : ℝ := 0
privat... |
643890a34ef80b9a7a0fce34ff06ca154b883bee | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/analysis/normed_space/finite_dimension.lean | 3aae442367bab67b0250f05754f5c75478d8b7d0 | [
"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 | 12,692 | 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 analysis.normed_space.operator_norm
import linear_algebra.finite_dimensional
import tactic.omega
/-!
# Finite dimensional normed spaces over complete fi... |
f83f7e469b81168c6e5aa6c02543a6684dc91632 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/logic/nontrivial.lean | 35d95464ce89806a844730af76b775f457b4134e | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,104 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import logic.unique
import logic.function.basic
/-!
# Nontrivial types
A type is *nontrivial* if it contains at least two elements. This is useful in particul... |
f6122116b9e18749a7c206a7affa4e0e3710b4e8 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Data/Format.lean | 7d3ae256b4e676fe55805b9affd5b7d66cd26055 | [
"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 | 10,642 | 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.Options
universes u v
namespace Lean
namespace Format
inductive FlattenBehavior
| allOrNone
| fill
namespace FlattenBehavior
instance... |
e83852c1a5a33e75864cea2dab9e57017c532796 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/isos/id.lean | 9871fbd10f547417ca0efc85cc75a48363acdc2e | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 420 | lean | import isos.fseq_ogf
namespace id
-- x = Σ n:ℕ, δ(1,n) xⁿ
def ogf_iso {A} : A ≃ ogf (delta 1) A :=
fseq.id_iso⁻¹ ⋆ fseq.ogf_iso
instance : has_ogf id :=
⟨delta 1, @ogf_iso⟩
-- x = 0 + 1 x
def linear {A} : A ≃ 0 ⊕ 1 × A :=
iso.mul_one_left ⋆ iso.add_zero_left
-- x = x¹
def one_iso {A} : A ≃ 1 → A :=
⟨λ x y, x,
λ x,... |
3f17d317f891697b416705bb464d143a476f1d81 | c062f1c97fdef9ac746f08754e7d766fd6789aa9 | /data/list/basic.lean | e8645a9b99852fff263e44bde8a6e3b184244010 | [] | no_license | emberian/library_dev | 00c7a985b21bdebe912f4127a363f2874e1e7555 | f3abd7db0238edc18a397540e361a1da2f51503c | refs/heads/master | 1,624,153,474,804 | 1,490,147,180,000 | 1,490,147,180,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,437 | 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
Basic properties of lists.
-/
import ...logic.basic ..nat.basic
open function nat
namespace list
universe varia... |
e37a6cec8982766b2d40bfc044c8b90ab6a8b1cf | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/types/unit.hlean | dc121d685078b3fffb17ee2e609d71565cda77e3 | [
"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 | 1,154 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Theorems about the unit type
-/
import algebra.group
open equiv option eq
namespace unit
protected definition eta : Π(u : unit), ⋆ = u
| eta ⋆ := idp
def... |
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