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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fc193e249b1caa30e0f50179193ebbf5182c42d3 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/preserves.lean | e3a63a7016c4d59a56e1fff9ed632de6a24a9183 | [
"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 | 11,866 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Bhavik Mehta
-/
import category_theory.limits.limits
/-!
# Preservation and reflection of (co)limits.
There are various distinct notions of "preserving l... |
a216b691520c69bd535a845d1c5bb57986507836 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/metric_space/lipschitz.lean | 1c5e5eb4613af3407adb94052cb06e2d43abf145 | [
"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 | 11,354 | lean | /-
Copyright (c) 2018 Rohan Mitta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rohan Mitta, Kevin Buzzard, Alistair Tucker, Johannes Hölzl, Yury Kudryashov
-/
import topology.metric_space.basic
import category_theory.endomorphism category_theory.types
/-!
# Lipschi... |
7e29c757effef862851d5dcc7ee2838a3370e17e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1797.lean | d2b6b269ab27ccfc39326dd59caecff640c74c72 | [
"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 | 142 | lean | example (n : nat) : true :=
begin
cases h : n with m,
{ guard_hyp h : n = nat.zero, admit },
{ guard_hyp h : n = nat.succ m, admit}
end
|
43f01030677252bd6f796930463b50e724dcf00a | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/analysis/normed_space/basic.lean | cbe2bfda3d4199c7e177cacdf19b8f5df653d312 | [
"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 | 21,058 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Normed spaces.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.pi_instances
import linear_algebra.basic
import topology.instances.nnreal topology.instances.complex
variables {α : Ty... |
f1d1e2fbaa03d7abf2781a346dc44240097e6d53 | 38a6d5def645a1887e1306ceb4da06ff71452096 | /_5_The_Physical_Layer/optical_fiber/entropy_of_channels.lean | dc11a2d265586dc18870d07309b73cc5eed4a6f3 | [] | no_license | QTM3x/Quantum-Internet | bcc2d61e2ae7233bb2b369fedaed22a1feb6fba1 | f90e09fb6c03d35043654d8b1bec1c63d6012268 | refs/heads/master | 1,609,224,401,937 | 1,599,911,583,000 | 1,599,911,583,000 | 238,495,221 | 45 | 33 | null | 1,603,625,079,000 | 1,580,919,815,000 | Jupyter Notebook | UTF-8 | Lean | false | false | 12,108 | lean | import data.real.basic
import analysis.special_functions.exp_log
import _5_The_Physical_Layer.optical_fiber.quantum_channel
import _5_The_Physical_Layer.qubit_carriers.quantum_state
import common.matrix_ops
notation `|` x `|` := abs x
---- HOLEVO INFORMATION
/-
Definition (Holevo information of a quantum channel)
"T... |
54d9b6f741b5ea4059d74143e77f9400143ffa2e | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/dependentTypes.lean | 24224ccc215df8d9308da9a62dccf268f21ea405 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 6,787 | lean | /- A FAMILY OF TYPES ("INDUCTIVE FAMILY")
efine a family of types, *tuple n*, indexed
by natural numbers. For any (n : nat), tuple n
is the type of tuples (of natural numbers) of
length n.
-/
-- nat ⨯ nat
-- ℕ ℕ ℕ
-- (1,2,3)
-- ℕ ⨯ (ℕ×ℕ)
-- (1,(2,3))
-- (1, (2, (3, (4, 5))))
/-
Build a function that takes... |
f93669940e492fdca9d37a3dd885b074ed0fa4f4 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/algebra/ring.lean | 5ab2e2cdfd4a4668c82ae81e5ca9826294e5fbaa | [
"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 | 24,479 | 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, Amelia Livingston
-/
import algebra.group
import tactic.norm_cast
/-!
# Properties and homomorphisms of semirings and rings
This f... |
d321c303c4f6efa05767fdb4a29e9160982825ab | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/path_connected.lean | 0b6c9e9a7d2f7d090fe490e845a6360b7adb363d | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 36,452 | 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.instances.real
/-!
# Path connectedness
## Main definitions
In the file the unit interval `[0, 1]` in `ℝ` is denoted by `I`, and `X` is a topologic... |
f2991c6fc75678f60b2d4e42fd628a2cab46d101 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Elab/Level.lean | 50f64259a3e18dfcb5fbe0e78740cd1ef2739cc5 | [
"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 | 3,294 | 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.Meta.LevelDefEq
import Lean.Elab.Exception
import Lean.Elab.Log
import Lean.Elab.AutoBound
namespace Lean.Elab.Level
structure Context where
... |
6ad2bce75dfe18c16aa350d90d1d4c8b728af937 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/1898.lean | c1c2cbc8b53727cab06a24899b37b2ffb28eaf2e | [
"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 | 41 | lean | def X (R : Type) [H : has_zero R] := H.0
|
74805de75448f83be71e1cd1361a21c4c5665358 | e07b1aca72e83a272dd59d24c6e0fa246034d774 | /src/tutorials/07_first_negations.lean | 2ff7cf1f56689df77c631ead315d0aa0d0d3cd0a | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | pedrominicz/learn | 637a343bd4f8669d76819ac660a2d2d3e0958710 | b79b802a9846c86c21d4b6f3e17af36e7382f0ef | refs/heads/master | 1,671,746,990,402 | 1,670,778,113,000 | 1,670,778,113,000 | 265,735,177 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,599 | lean | import tuto_lib
import data.int.parity
/-
Negations, proof by contradiction and contraposition.
This file introduces the logical rules and tactics related to negation:
exfalso, by_contradiction, contrapose, by_cases and push_neg.
There is a special statement denoted by `false` which, by definition,
has no proof.
So ... |
98d2f6879732c135cd06204c807abf6ea30148ea | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/calculus/fderiv.lean | d0411a26962e48172eaae1c68ed10e75411fa709 | [
"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 | 123,676 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.analytic.basic
import analysis.asymptotics.asymptotic_equivalent
import analysis.calculus.tangent_cone
import analys... |
0bd2e677432abba7855995121bb84cce28d66a03 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/dfinsupp.lean | 0ece9aa7e7a8d009ad09963fe02685b3db48ae0f | [
"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 | 32,036 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
Dependent functions with finite support (see `data/finsupp.lean`).
-/
import data.finset data.set.finite algebra.big_operators algebra.module algebra.pi_instance... |
12aa775bfc09f6c856dc59bc8f674dde139fcab9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/logic/small.lean | 6c31694f07a169a203822359932e4c05d35ef650 | [
"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 | 4,026 | 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 data.equiv.set
/-!
# Small types
A type is `w`-small if there exists an equivalence to some `S : Type w`.
We provide a noncomputable model `shrink α : Type ... |
133ca770238b900e7fd88200825934c9bbd8667b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/level.lean | f0459135dc611e7b2010e26c3bbe1a59848555fc | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,563 | 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.name init.meta.format
/- Reflect a C++ level object. The VM replaces it with the C++ implementation. -/
inductive level
| zero :... |
a5fe75a57b07ec1ae950bba36f5f0990a7076663 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/clear_auto.lean | 5d51ae409a3bf3a8c6bc9d64c0a78dc98aba28ab | [] | 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 | 2,457 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# Better `clear` tactics
We def... |
ce3714c8fd601b1f271acf806890e10dd72db2b3 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/geometry/euclidean/circumcenter.lean | a56354f92eb914dfaef14d0fca1a5239ca9fc2b5 | [
"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 | 38,134 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import geometry.euclidean.basic
import linear_algebra.affine_space.finite_dimensional
import tactic.derive_fintype
noncomputable theory
open_locale big_operators
open_lo... |
d824fdef81d0b854c913201701ed7d16baf3110f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_ematch6.lean | d9bddeaee976125c89f6bf1ca208473e406c0481 | [
"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 | 861 | lean | import algebra.ring data.nat
open algebra
variables {A : Type}
section
variable [s : group A]
include s
set_option blast.strategy "ematch"
attribute mul_one [forward]
attribute mul.assoc [forward]
attribute mul.left_inv [forward]
attribute one_mul [forward]
theorem inv_eq_of_mul_eq_one₁ {a b : A} (H :... |
89d9fe6bdafd75f59dc45d7bbf1f6f1cecd288c2 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/valuation/basic.lean | 69a1209df46a9f266d6f190e206649252978a32b | [
"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 | 24,540 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import algebra.linear_ordered_comm_group_with_zero
import algebra.group_power
import ring_theory.ideal.operations
import algebra.punit... |
4bc5eaae6ffb24d0d7333c321b11a2a7f47a682b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/IndPredBelow.lean | 3145f29d311c8189c77ad1e47bcae566fb86d2c0 | [
"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 | 25,628 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dany Fabian
-/
import Lean.Meta.Constructions
import Lean.Meta.Match.Match
namespace Lean.Meta.IndPredBelow
open Match
register_builtin_option maxBackwardChainingDepth : Nat ... |
a3ab2510970bb6a5d5fe1bfa923d5cf5a07c320c | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /ukikagi/top35.lean | 75a1fa12525bebe8d123ad3896f1c50a712a29f0 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 397 | lean | definition NtoB := nat -> bool.
definition NtoB_eqv (g h : NtoB) : Prop := ∀ i, g i = h i.
constant f: nat -> NtoB
axiom f_surjective: ∀ g : NtoB, ∃ n, NtoB_eqv (f n) g
example: false
:=
begin
let g := λ n: nat, bnot (f n n),
cases f_surjective (λ n: nat, bnot (f n n)) with n,
have hn: f n n = g n, from... |
5ffb30897b7160a7ae26bc8a78cd701b718b58ac | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/padics/ring_homs.lean | 80f7f23389977ed99175e37ac25c7c3073e420bf | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 24,698 | lean | /-
Copyright (c) 2020 Johan Commelin and Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin and Robert Y. Lewis
-/
import data.padics.padic_integers
/-!
# Relating `ℤ_[p]` to `zmod (p ^ n)`
In this file we establish connections between t... |
51e7efa98a4a1ac386084b56b51299cd34a52aca | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/associated.lean | 61da2f393e4a587d8591bd81ecc9c82f31a8e059 | [
"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 | 28,686 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
-/
import data.multiset.basic
import algebra.divisibility
/-!
# Associated, prime, and irreducible elements.
-/
variables {α : Type*} {β : Type*} {γ : ... |
0c45b68fd879069c688fe89e7f3cb57610c29018 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/free_module/finite/rank.lean | 40638dfa67547cc67757f4d9d3b4d59c076257b0 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 4,974 | 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 linear_algebra.free_module.rank
import linear_algebra.free_module.finite.basic
/-!
# Rank of finite free modules
This is a basic API for the rank of fini... |
e8efb828ec23dee3193ffb7ae6faa9e2fef74f9f | 1e3a43e8ba59c6fe1c66775b6e833e721eaf1675 | /src/data/padics/padic_numbers.lean | 3b1222f0292a7367aa552dc02cbb1d243dd43ef9 | [
"Apache-2.0"
] | permissive | Sterrs/mathlib | ea6910847b8dfd18500486de9ab0ee35704a3f52 | d9327e433804004aa1dc65091bbe0de1e5a08c5e | refs/heads/master | 1,650,769,884,257 | 1,587,808,694,000 | 1,587,808,694,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,489 | 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.padics.padic_norm
import analysis.normed_space.basic
/-!
# p-adic numbers
This file defines the p-adic numbers (rationals) ℚ_p as the completion of ℚ... |
998b3fc2441678c192109a1ec4ecb5320252115c | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Meta/Match/CaseArraySizes.lean | 370e6a51d7e1de590992068735fe432020371eb0 | [
"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 | 3,826 | 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.Meta.Tactic.Assert
import Lean.Meta.Match.CaseValues
namespace Lean.Meta
structure CaseArraySizesSubgoal where
mvarId : MVarId
elems : Ar... |
385f049d619a6979a6d60b83f868ac483725e979 | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love07_metaprogramming_demo.lean | 36542ba8e6f88423d5daf3576339114548ac70d1 | [] | no_license | gonzalgu/logical_verification_2020 | a0013a6c22ea254e9f4d245f2948f0f4d44df4bb | 724d0457dff2c3ff10f9ab2170388f4c5e958b75 | refs/heads/master | 1,660,886,374,533 | 1,589,859,641,000 | 1,589,859,641,000 | 256,069,971 | 0 | 0 | null | 1,586,997,430,000 | 1,586,997,429,000 | null | UTF-8 | Lean | false | false | 14,243 | lean | import .love05_inductive_predicates_demo
/-! # LoVe Demo 7: Metaprogramming
Users can extend Lean with custom monadic tactics and tools. This kind of
programming—programming the prover—is called metaprogramming.
Lean's metaprogramming framework uses mostly the same notions and syntax as
Lean's input language itself... |
e8e7d416ed147091082a2fc1d7360f02faeb652e | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/inner_product_space/pi_L2.lean | 13bab813b7523af6f4e60fab6fcc75df4ba87732 | [
"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 | 22,783 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Sébastien Gouëzel, Heather Macbeth
-/
import analysis.inner_product_space.projection
import analysis.normed_space.pi_Lp
/-!
# `L²` inner product space structure on finite ... |
b8e87f98d897cdbb468791f823e80224b2f82c08 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/order/filter/bases.lean | 884fc6d8a4b507da509aff50d74d5d7554386698 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 8,660 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import order.filter.basic
/-! # Filter bases
In this file we define `filter.has_basis l p s`, where `l` is a filter on `α`, `p` is a predicate
on some index set `... |
1281276a01915b60027b5e17938d7f2b31076004 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/multiset/basic.lean | aa0e5ab1edeb95e5253f7b7db585670e8dc2d14b | [
"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 | 98,219 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.perm
import algebra.group_power
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the gl... |
059f844ef9e16a0cbf4c6087f30bd65c0e8088ca | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/ring_theory/algebra_operations.lean | da20984a3eda8a7f88ff9999721251035ff2eb04 | [
"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 | 9,134 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Multiplication and division of submodules of an algebra.
-/
import ring_theory.algebra algebra.pointwise
import tactic.chain
import tactic.monotonicity.basic
universes u v
ope... |
fc320dac76ec7af9044f0e6b0acbbf63b38b4cec | b66669ef1ec06ddbd9526fe3afe0a68566dfbad3 | /src/grid.lean | ed1a50785afcbd375afaf9762bb1700328c1dc6b | [
"MIT"
] | permissive | FerdoSil/LatticesAndCellularAutomata | 40185a9099bb3cf1371c85f1ca33a17c2e26fecb | 2a69d2e74a231addf0e446dca86ef90d50d60218 | refs/heads/master | 1,587,683,992,072 | 1,586,018,471,000 | 1,586,018,471,000 | 171,533,028 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 58,713 | lean | -- A formalization of two-dimensional orthogonal geometric lattices, simply called 'grid's.
-- The class 'relative_grid' is an abstract interpretation thereof with relative (0, 0)-based indexing.
-- The class 'grid' is a generalization of 'relative_grid' to arbitrary (x, y)-relative grids.
-- Three concrete instances... |
1415e8c904794bb0a17db4f9bdfc6f9878fa6f6b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/continued_fractions/computation/terminates_iff_rat.lean | 7f9548334e889f74e4f3bd334faae3c6183be151 | [] | 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 | 8,135 | 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.approximations
import Mathlib.algebra.continued... |
1033ed37728306b94824e70295c4ef053a77cb9a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/set/basic.lean | d53a33ccba7abd1e5412cae259970b48206d7b8e | [
"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 | 108,825 | 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
-/
import logic.unique
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their elements have the same type... |
8b8258f796e5fd5a22b7005fe8780dfffc301b85 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/transitiveInferenceJoin3way.lean | a9deb0445c96c1381824d5784430d7640478c51c | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 2,660 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..meta.ucongr
import ..meta.TDP
open Expr
open Proj
open Pred
open SQL
open tree
set_option profiler true
notation `int` := datatypes.int
variable integer_1: const datatypes.int
variable integer_7: const datatypes.int
theorem rule:
... |
d122640071e584aed9174a470bc48870fc66e056 | 9ee042bf34eebe0464f0f80c0db14ceb048dab10 | /stage0/src/Lean/Parser/Command.lean | c756db4624c7c5b9901897975423fda1a7846f50 | [
"Apache-2.0"
] | permissive | dexmagic/lean4 | 7507e7b07dc9f49db45df5ebd011886367dc2a6c | 48764b60d5bac337eaff4bf8a3d63a216e1d9e03 | refs/heads/master | 1,692,156,265,016 | 1,633,276,980,000 | 1,633,339,480,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,111 | 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, Sebastian Ullrich
-/
import Lean.Parser.Term
import Lean.Parser.Do
namespace Lean
namespace Parser
/--
Syntax quotation for terms and (lists of) commands.... |
8ab8eb6ad287c869300b87d134d1a607ad0d1ae6 | ed9ca7f44f366ca3a04272f939b2275961f36c59 | /src/for_mathlib/open_subgroup.lean | 148fbf87a689bdfff99c24808c08f63c2b377d71 | [
"Apache-2.0"
] | permissive | wh941231/lean-perfectoid-spaces | e88fb5d76746009242349f276cd0920285d8beb9 | 43954f64ce4afdf4fa39e2aeef8ec43826b24f2a | refs/heads/master | 1,653,641,928,775 | 1,588,499,720,000 | 1,588,499,720,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 701 | lean | import topology.algebra.open_subgroup
open topological_space
variables (G : Type*) [group G] [topological_space G] [topological_group G]
namespace open_subgroup
def of_mem_nhds {s : set G} [is_subgroup s] (h : s ∈ nhds (1 : G)) : open_subgroup G :=
⟨s,
is_open_of_nonempty_open_subset (by { rcases mem_nhds_sets_iff.... |
bc086d72f3239d6ed08d515c75c3f26daf0f6c03 | 2bafba05c98c1107866b39609d15e849a4ca2bb8 | /src/week_5/solutions/Part_A_filters.lean | e4a3f3cec9bb7ecd4d11bd0c009069690b14a74d | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/formalising-mathematics | b54c83c94b5c315024ff09997fcd6b303892a749 | 7cf1d51c27e2038d2804561d63c74711924044a1 | refs/heads/master | 1,651,267,046,302 | 1,638,888,459,000 | 1,638,888,459,000 | 331,592,375 | 284 | 24 | Apache-2.0 | 1,669,593,705,000 | 1,611,224,849,000 | Lean | UTF-8 | Lean | false | false | 15,152 | lean | import order.filter.basic -- the basics
/-
# Filters
## Introduction
A topological space structure on a type `α` is a collection of subsets of `α`
(the open sets) satisfying some axioms. A filter is a similar kind of thing --
it's a collection of subsets of `α` satisfying some different axioms.
Before we go into th... |
b035465ca59f2f0034ddd881d7bb65d573022852 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/int/range.lean | 2f9f48ee2b88cd9972e760f53723c7f671d47521 | [
"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 | 1,794 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau
-/
import data.int.basic
import data.list.range
namespace int
local attribute [semireducible] int.nonneg
/-- List enumerating `[m, n)`. -/
def range (m n : ℤ) :... |
7426c91a1b84d956b290fd9d6600595b777b039b | bb31430994044506fa42fd667e2d556327e18dfe | /src/measure_theory/constructions/prod.lean | 2f7ef21f9d5b7e5cc98abfd9957702c042e0b599 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 55,726 | 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.measure.giry_monad
import dynamics.ergodic.measure_preserving
import measure_theory.integral.set_integral
import measure_theory.measure.open... |
81df0cea19f53719391309ba77214a8cc09d329e | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/constr_tac.lean | 6d5b4b298269e688189a04766e016ca0e298b4d3 | [
"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 | 848 | lean | import data.list
example (a b c : Prop) : a → b → c → a ∧ b ∧ c :=
begin
intro Ha Hb Hc,
split,
assumption,
split,
repeat assumption
end
example (a b c : Type) : a → b → c → a × b × c :=
begin
intro Ha Hb Hc,
repeat (split | assumption)
end
example (a b : Type) : a → sum a b :=
begin
intro Ha,
left... |
50960bf708f421ce492a6cb88e1021c8642674c4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/mk_dec_eq_instance.lean | 572e6e50858fe6ce2b29306fd06c81b3e440cae2 | [
"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 | 4,552 | 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
Helper tactic for showing that a type has decidable equality.
-/
prelude
import init.meta.contradiction_tactic init.meta.constructor_tactic
import init.meta.i... |
9190dda45b25c973c2d23b474de683dfa2413bca | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/topology/algebra/infinite_sum.lean | 0d03b0c91963f81b10bdf4050406ddbea08c6927 | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 25,726 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Infinite sum over a topological monoid
This sum is known as unconditionally convergent, as it sums to the same value under all possible
permutations. For Euclidean spa... |
a8597d771fcbee6cac943fc89915d562b7a0f1b5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/logic/embedding.lean | 79b063ca89d64bdaa6bb52e567a49538941d4e31 | [] | 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 | 10,474 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.basic
import Mathlib.data.sigma.basic
import Mathlib.algebra.gro... |
0e422b18d59e6718eef77499659036f5851344f2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/hole_command.lean | 5759a33937ca1cfef65788182aa88a6c6a1f83f1 | [] | 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 | 940 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
namespace Mathlib
/--
The front-end (e.g., Emacs, VS Code) can invoke commands for holes... |
54e9cc8b8d55cd9bb694a32d5bc2516474a1d00c | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/category/applicative.lean | 4bf778dd529be796e50732c1314454b37c2b0845 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 967 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.category.functor
import init.function
open function
universes u v
class applicative (f : Type u → Type v) extends functor f : Type (max ... |
c0fc507276b6ebf5472828c1ecf1310f39fdf709 | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /hw8/lecture notes/propositional_logic_syntax_and_semantics.lean | 809a36a793fb0db83276c169cf887a946f7d907b | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,108 | lean | -- justin
inductive var : Type
| mk : ℕ → var
-- SYNTAX
inductive pExp : Type
| pTrue : pExp
| pFalse : pExp
| pVar : var → pExp
| pNot : pExp → pExp
| pAnd : pExp → pExp → pExp
| pOr : pExp → pExp → pExp
| pImp : pExp → pExp → pExp
| pIff : pExp → pExp → pExp
| pXor : pExp → pExp → pExp
-- Utility function
def bimp... |
81e733b0dc86669a3a9895535e65c58bc99b7fad | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/meta/format.lean | 9b302ea30c16a6a54c8ffaf5bc43a9d78d8034eb | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 4,590 | 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.options init.function
universes u v
inductive format.color
| red | green | orange | blue | pink | cyan | grey
meta constant form... |
d4cf44cf0c7a731a5c884e0f15386d0f0580a79e | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /src/Lean/Elab/DeclModifiers.lean | c4cd1761c35914681c0dcba1fde1b6f2003a0532 | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,571 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Modifiers
import Lean.Elab.Attributes
import Lean.Elab.Exception
import Lean.Elab.DeclUtil
namespace Lean.Elab
def checkNot... |
3efded7041e00fd48124f97e5d72b162cd37ad7c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/set_theory/surreal.lean | 03ec0b90641e9351010b8a6b066d225e54939a3b | [
"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 | 12,920 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison
-/
import set_theory.game
/-!
# Surreal numbers
The basic theory of surreal numbers, built on top of the theory of combinatorial (pre-)games.
A pregam... |
96c575b27283e1678cbb757c1ab3f8f7fb2e4cbc | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/exercises_sources/thursday/order.lean | f7c61aa6ad90b22bcdc8f27b3eef1a890e2454c0 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,312 | lean | /-
# Orders
Groups, rings, fields, modules etc are in the "algebra hierarchy".
Metric and topological spaces are in the "topology hierarchy".
The other important hierarchy is the "order hierarchy".
It starts with partially ordered sets, and then goes on to lattices.
Because I like algebra, let's demonstrate the or... |
d90696ee8e7a5249cb7c63fed466c5422df18e00 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/nat/choose/sum.lean | 3192a4d80a438483a8d5603ceaf39d6937dac397 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,980 | 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 tactic.linarith
import algebra.big_operators.ring
import algebra.big_operators.intervals
import algebra.big_operators... |
ad75c1277a6f788621e31d88124cbc66a3fc7719 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/cases_tac1.lean | e0d4835335c362a7ea2db1735c50aa4cd190537b | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 1,057 | lean | inductive vec (A : Type*) : nat → Type*
| nil : vec 0
| cons : ∀ {n}, A → vec n → vec (n+1)
open tactic nat vec
definition head {A : Type*} : ∀ {n : nat}, vec A (n+1) → A
| n (cons h t) := h
definition tail {A : Type*} : ∀ {n : nat}, vec A (n+1) → vec A n
| n (cons h t) := t
@[simp] definition head_cons {A : Type*... |
1dbc25fa119b376daf4062e28fde45ccdf4c6b36 | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Lean/Server/Utils.lean | afc2036b845598150e5642bf44b1a0bba5b72c2e | [
"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 | 5,527 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.Data.Position
import Lean.Data.Lsp
import Lean.Server.InfoUtils
import Init.System.FilePath
namespace IO
def throwServerError (err... |
bb6f57fd284efc6f81063788e79f1fcf99d36f55 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/well_founded.lean | 4ee42fa17d93440e380a9acbc434b29d52cb8e5c | [
"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 | 10,598 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import tactic.by_contra
import data.set.basic
/-!
# Well-founded relations
A relation is well-founded if it can be used for induction: for each `x`, `... |
73e0d81891e2e2ee87ed566bdee7760f2fcfd056 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/algebra/euclidean_domain.lean | 8ae195e400830d95aacb7d7638143dc2735ec4a3 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,018 | 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 data.int.basic... |
d4690951baa9929ea580055f22e178d808a61ce1 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/tactic/norm_cast.lean | af9709c58d3f5e5d37941d51c359c1b111efdcbc | [
"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 | 26,430 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine, Robert Y. Lewis
Normalizing casts inside expressions.
-/
import tactic.converter.interactive
import tactic.hint
/-!
# A tactic for normalizing casts i... |
bbeaca58d0f1570d116595752a4e3708986564e3 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/polynomial/degree/definitions.lean | e90f102c640a2b0bbd1ca84a99c2b75545b06113 | [
"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 | 36,585 | 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.coeff
import data.nat.with_bot
/-!
# Theory of univariate polynomials
The definitions include
`de... |
a7d950b3428d42827efaeb5e7638691256a78e33 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Compiler/IR/ExpandResetReuse.lean | 14ded60811ed49caa3da1e9dc43b8d037e822052 | [
"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 | 10,026 | 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.Compiler.IR.CompilerM
import Lean.Compiler.IR.NormIds
import Lean.Compiler.IR.FreeVars
namespace Lean.IR.ExpandResetReuse
/- Mapping from varia... |
0237a4c0c68a3dad95fa90dc83df7f2ce2189ec0 | a45212b1526d532e6e83c44ddca6a05795113ddc | /test/push_neg.lean | 10cea2b4e58dba73fd6f723aa6140f99db29ec3e | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 1,026 | lean | import tactic.push_neg
example (h : ∃ p: ℕ, ¬ ∀ n : ℕ, n > p) (h' : ∃ p: ℕ, ¬ ∃ n : ℕ, n < p) : ¬ ∀ n : ℕ, n = 0 :=
begin
push_neg at *,
guard_target_strict ∃ (n : ℕ), n ≠ 0,
guard_hyp_strict h := ∃ (p n : ℕ), n ≤ p,
guard_hyp_strict h' := ∃ (p : ℕ), ∀ (n : ℕ), p ≤ n,
use 1,
end
-- In the next example, ℤ sh... |
17573500268da0c563a6bbe6fb7c60fc0d30db1d | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/smt_ematch2.lean | a0585d92b454945b7ea26a8ddc397a297a2da5d4 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,728 | lean | universe variables u
namespace foo
variables {α : Type u}
open smt_tactic
meta def no_ac : smt_config :=
{ cc_cfg := { ac := ff }}
meta def blast : tactic unit :=
using_smt_core no_ac $ intros >> repeat (ematch >> try close)
section add_comm_monoid
variables [add_comm_monoid α]
attribute [ematch] add_comm add_assoc
... |
bff7f1d1a0a7a2605ce1f1de206058d19471de96 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/deprecated/subgroup_auto.lean | 148611d14b95a59c1e61b201a9da1326e20381a9 | [] | 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 | 25,200 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro,
Michael Howes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.group_the... |
91dfc645e15d792033da0b4fad9551da7b4b3ddf | 2fb7334a212c3858db44039b5fa6cd57fd5d1443 | /src/extremally_disconnected.lean | 05890c2168d8d86c1e0d71ed6acaa81aaadb11b4 | [] | no_license | ImperialCollegeLondon/condensed-sets | 24514be041533b07fd62d337b1d6a5ce2b09c78c | e308291646396003dbed3896e5fbb40cb57c7050 | refs/heads/master | 1,628,397,992,041 | 1,601,549,576,000 | 1,601,549,576,000 | 224,198,323 | 3 | 1 | null | 1,601,549,578,000 | 1,574,774,780,000 | Lean | UTF-8 | Lean | false | false | 4,985 | lean | import topology.compact_open
import topology.stone_cech
/-!
# Extremally disconnected spaces
An extremally disconnected topological space is a space
in which the closure of every open set is open.
Such spaces are also called Stonean spaces.
The are the projective objects in the category of compact Hausdorff spaces;
a... |
8fe70114d200ceadd3d58db856d2b733c9a5b9c6 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/l1_space.lean | 84461638ffcc7bea387dfbe5a0e9ae2b7b3552f2 | [
"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 | 37,426 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.lp_space
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic properties o... |
100fd940d27697c0bcf4fefb5e53905c56534fde | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/matrix.lean | aef241badd38074b9569a7e146ada32485a858d5 | [
"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 | 20,653 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Eric Wieser
-/
import analysis.normed_space.basic
import analysis.normed_space.pi_Lp
import analysis.inner_product_space.pi_L2
/-!
# Matrices as a normed space
In t... |
8b550c0f6525c6049128360615b9ba88e669e2d7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/phashmap.lean | 79dd439b31334784a5ea3912b49e6b94afc9b559 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,063 | lean | import Lean.Data.PersistentHashMap
import Lean.Data.Format
open Lean Std Lean.PersistentHashMap
abbrev Map := PersistentHashMap Nat Nat
partial def formatMap : Node Nat Nat → Format
| Node.collision keys vals _ => Format.sbracket $
keys.size.fold
(fun i fmt =>
let k := keys.get! i;
let v := vals.... |
158341f80f121cf360001f986272db6472062a01 | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/uniform_space/basic.lean | 318257b0266eabd5b2ff8d3ecb383ed4250acba7 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 943 | lean | import topology.uniform_space.basic
import for_mathlib.function
section
open uniform_space
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
variables [uniform_space α] [uniform_space β] [uniform_space γ] [uniform_space δ]
def uniform_continuous₂ (f : α → β → γ) := uniform_continuous (function.uncurry f)
l... |
650e2cf6923bc9a83a3f2e8c939234d4f04a9878 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sheaves/sheaf_condition/unique_gluing.lean | e9647e2a86406b9f6fa14c6e0e5aa750ae823817 | [
"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 | 11,618 | lean | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
import topology.sheaves.forget
import category_theory.limits.shapes.types
import topology.sheaves.sheaf
import category_theory.types
/-!
# The sheaf condition in t... |
1ab727114a5fdccd2c037cafecca2f0c56ae1f6d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/forall2.lean | 9ae445e3262c22fb580278e3c0e988dbd444c155 | [] | 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 | 8,641 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.basic
import Mathlib.PostPort
universes u v w z
namespace Math... |
43c9026a9f9c29327974316634636933617ac128 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/init/types.hlean | c173c527195ed8f09466038647bd2834a878e1a4 | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 9,077 | hlean | /-
Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn, Jakob von Raumer
-/
prelude
import .num .wf
-- Empty type
-- ----------
namespace empty
protected theorem elim {A ... |
a599cfc18d64ce4c7097cc1fb7538e0ad7d2cf2e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/category/BoolAlg.lean | 6aaaa3a2fab5ffb3d6ed4e46cfc980d1113f0777 | [
"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 | 2,815 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.HeytAlg
/-!
# The category of boolean algebras
This defines `BoolAlg`, the category of boolean algebras.
-/
open order_dual opposite set
univers... |
0582cd413887c5b42a1a4a035440dc4a258dd140 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Classical.lean | 4d1a2772fda154fec1d3def1af54039b4eb2f29a | [
"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 | 5,577 | 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
-/
prelude
import Init.Core
import Init.NotationExtra
universe u v
/-! # Classical reasoning support -/
namespace Classical
noncomputable def indefiniteDes... |
7246d7f57bf551c6cdb022f7d168b54a241e4438 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/ring_theory/unique_factorization_domain.lean | 720ad682037cbb8643ad2709b89d162409582da3 | [
"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 | 46,952 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import algebra.gcd_monoid
import ring_theory.integral_domain
import ring_theory.noetherian
/--
# Unique factorization
## Main Defi... |
b511288b08c6a6e6747ce5ff897bf22f9204b7d0 | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2020/functions/surjective_comp.lean | 63a28d68e0cc56780227c673ca98b6e214696861 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 644 | lean | import tactic
open function
variables (X Y Z : Type) (f : X → Y) (g : Y → Z)
example : (surjective f) ∧ (surjective g) → surjective (g ∘ f) :=
begin
-- Say f and g are surjective.
rintros ⟨hf, hg⟩,
-- Choose z in Z.
intro z,
-- Our job is to find x in X such that g(f(x))=z.
-- Well g is... |
3e20d6b7b218b42e5bfa4cac68055f9fab58a48f | a76f677b87d42a9470ba3a0a78cfddd3063118e6 | /src/congruence/ang_lt.lean | b7b1e63ddb416df12a3668155ec23dddf5ad6521 | [] | no_license | Ja1941/hilberts-axioms | 50219c732ad5fa167408432e8c8baae259777a40 | 5b653a92e448b77da41c9893066b641bc4e6b316 | refs/heads/master | 1,693,238,884,856 | 1,635,702,120,000 | 1,635,702,120,000 | 385,546,384 | 9 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 9,464 | lean | /-
Copyright (c) 2021 Tianchen Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tianchen Zhao
-/
import congruence.basic
/-!
# Angle orderness
This file defines how an angle is less than another and proves basic properties such as
transitivity and trichotomy.
##... |
9a5301d3d9afa46c11519b24fbee3d4f45b29ae5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/simp_result.lean | 7a96e627796e4587435b3b2a566e32fbd5c57766 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,375 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# simp_result
`... |
07a767d6f687f12b3f3bbdee429be00a9beca67a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/finsupp/antidiagonal.lean | 388c8dcdfb7870c435bb79654850e1b31129bd53 | [
"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 | 3,633 | 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.finsupp.multiset
import data.multiset.antidiagonal
/-!
# The `finsupp` counterpart of `multiset.antidiagonal`.
> THIS FILE IS SYNCHRONI... |
189a57d4e58456335b061b80609b890ef1b86357 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/probability/moments.lean | 46efcf3c96c5f66e64ca09ed946d52ab54e64292 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 13,957 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import probability.variance
/-!
# Moments and moment generating function
## Main definitions
* `probability_theory.moment X p μ`: `p`th moment of a real random variab... |
fbc5cbe9f3cb40028dd065f9b1196265497ec7aa | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/algebra/restrict_scalars.lean | 5c3c9856ddb103f7def073568f2ccd9a63cb2e49 | [
"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 | 8,481 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.algebra.tower
/-!
# The `restrict_scalars` type alias
See the documentation attached to the `restrict_scalars` definition for advice on how a... |
2f4b9cb2a708f275084d7a4d8808c1c0a57658dd | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/preserves/shapes/zero.lean | 407b1444f4f9f8a38c7dca9fcd275e80c26fd216 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 5,045 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.preserves.shapes.terminal
import category_theory.limits.shapes.zero_morphisms
/-!
# Preservation of zero objects and zero morphisms
We d... |
96e980de2e05148b26bdb017778a09df33b35748 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/limits/shapes/constructions/equalizers.lean | 92718a285c228c0703422a3eb694d1449e01d1fd | [
"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 | 2,734 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.pullbacks
/-!
# Constructing e... |
19599ed273ffe6ae281f389464945200019d2c94 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/model_theory/syntax.lean | 288d455200966bac5d01c3a3f907ae7e31160c54 | [
"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 | 39,690 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import data.list.prod_sigma
import data.set.prod
import logic.equiv.fin
import model_theory.... |
d16ce68154830ef557814d669d7216ffafcbd114 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/opposites.lean | c2e0735751a79b7e555d816df9e5ad2aa98489f7 | [
"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 | 13,933 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.opposite
import algebra.field
import algebra.group.commute
import group_theory.group_action.defs
import data.equiv.mul_add
/-!
# Algebraic operations on `αᵒᵖ`
Thi... |
4cc7fc75af4b86d58c61f2423ea3c5a712108385 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/datatypes.lean | 557a146ace124405cff0f0988f640d94658bc239 | [
"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 | 14,651 | 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
Basic datatypes
-/
prelude
notation `Prop` := Type 0
notation `Type₂` := Type 2
notation `Type₃` := Type 3
universe variables u v
inductive poly_unit : Ty... |
7a8fa6d8892b77fd362d49140dd296e40ab9a9ed | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/by_exact.lean | 7e111ec945974842ddbc0435aa87ca028c1559d9 | [
"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 | 144 | lean | import data.nat
open nat
example (a b c : nat) (h₁ : a + 0 = b) (h₂ : b = c) : a = c :=
by esimp at h₁; rewrite h₂ at h₁; exact h₁
|
6f9252392d71bc12d5da9619235b0c8f066ef856 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/data/nat/enat.lean | eae8aaec54c092b5f16fa427382e154817f87469 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,394 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.pfun
import tactic.norm_num
import data.equiv.mul_add
/-!
# Natural numbers with infinity
The natural numbers and an extra `top` element `⊤`.
## Main defin... |
e7531e47af11c7c859cd7ff31ffdd442c6bd5c82 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/algebra/operations.lean | 9562a93fd44d97214c0d52d8cc1db09f1556be38 | [
"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 | 12,177 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.basic
/-!
# Multiplication and division of submodules of an algebra.
An interface for multiplication and division of sub-R-modules of an R-algebra A is... |
16c20f5b918ab88c773f066cea1186cf2f1c7797 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Compiler/ExternAttr.lean | c61be64b25a74a0ba0f0e627e9ee2c78bf01361f | [
"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 | 5,984 | 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.Expr
import Lean.Environment
import Lean.Attributes
import Lean.ProjFns
import Lean.Meta.Basic
namespace Lean
inductive ExternEntry where
| ... |
2e03bb6a5994269f205e69a72e56dfe7cc2f28f7 | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/rules/removeSemiJoinRightWithFilter.lean | fb482878ea85e88bf2c66f7fe9b28d51f1a7cf00 | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,777 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
constant str_foo_: const int.
theorem rule:
forall ( Γ scm_dept scm_emp: Schema) (rel_dept: relation... |
0d2cf4e633a7fd449128f460716fae89700b880b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/category/pairwise.lean | de489d6ba6601425e826433d4547cbcf85608b53 | [
"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 | 4,293 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import order.complete_lattice
import category_theory.category.preorder
import category_theory.limits.is_limit
/-!
# The category of "pairwise intersections".
Given ... |
2dec4c0c3a5ae8decae125753a8bd823a83aacf9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/atoms.lean | 67113c02b85483ddcf490306229a2dc6265405a5 | [
"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 | 26,597 | 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 order.complete_boolean_algebra
import order.cover
import order.modular_lattice
import data.fintype.basic
/-!
# Atoms, Coatoms, and Simple Lattices
This modu... |
f348f0741c00813225f34ccc37aa4c6bd6331c34 | 4bddde0d06fbd53be6f23d7f5899998e8f63410b | /src/tactic/iconfig/lib/default.lean | 1044b8564d9d94d8ea055ed3170ab345cb5b6208 | [] | no_license | khoek/libiconfig | 4816290a5862af14b07683b3d2663e8e62832ef4 | 6f55c50bc5d852d26ee5ee4c5b52b2cda2a852e5 | refs/heads/master | 1,586,109,683,212 | 1,559,567,916,000 | 1,559,567,916,000 | 157,085,466 | 0 | 1 | null | 1,559,567,917,000 | 1,541,945,134,000 | Lean | UTF-8 | Lean | false | false | 30 | lean | import .tactic
import .parser
|
f7949d97fedaf0feef38b99dd8e3c5253025118e | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/set/lattice.lean | 04ee427082a42710b6795dba6c6dbb663c0c0498 | [
"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 | 52,462 | 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, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import order.complete_boolean_algebra
import data... |
3966674c09440af4c2b102d5ad2438c7c2658864 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/qexpr2.lean | 2be8db4c9acca2909eb75a68995a95b4353bbe25 | [
"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 | 280 | lean | open tactic
set_option pp.all true
example (a b c : nat) : true :=
by do
x ← to_expr ```(_ + b) tt,
trace x, infer_type x >>= trace,
constructor,
-- fill hole with 'c'
get_local `c >>= exact,
trace "------ after instantiate_mvars",
instantiate_mvars x >>= trace
|
0dddc3d03ac35fa2a1c7dfbf4fe0059a31fb4b35 | b24beef0a8b1a8e92be756a25aa78e24908b2b14 | /src/for_mathlib/manifolds.lean | 97cdfa8d50ff93abfa8590a071ed06edea72b5f9 | [] | permissive | ChristopheMargerin/lftcm2020 | 14967e74cbe92a7b61d32d8130f32cfa09b5172b | 589180047fa4fdfb3179636db58b0b0320549871 | refs/heads/master | 1,668,536,269,632 | 1,594,891,664,000 | 1,594,891,664,000 | 280,112,730 | 0 | 0 | MIT | 1,594,891,963,000 | 1,594,891,962,000 | null | UTF-8 | Lean | false | false | 2,012 | lean | import geometry.manifold.times_cont_mdiff
import geometry.manifold.real_instances
open set
instance : has_zero (Icc (0 : ℝ) 1) := ⟨⟨(0 : ℝ), ⟨le_refl _, zero_le_one⟩⟩⟩
instance : has_one (Icc (0 : ℝ) 1) := ⟨⟨(1 : ℝ), ⟨zero_le_one, le_refl _⟩⟩⟩
namespace metric
lemma is_closed_sphere {α : Type*} [metric_space α] {x ... |
b102cf29b05f397852721d8159b7ba40319404ea | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/succ_pred/basic.lean | c9f22fb29d788e26253c3bd64e6d0eb5b3070888 | [
"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 | 41,695 | 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 order.complete_lattice
import order.cover
import order.iterate
/-!
# Successor and predecessor
This file defines successor and predecessor orders. `succ a`, the ... |
ce34ee16bc65397efd7854d97760a28d4f105bf7 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/format.lean | 82e1e45797c933e90cf7de1459915317668d2259 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 5,903 | 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.options init.function init.data.to_string
universes u v
inductive format.color
| red | green | orange | blue | pink | cyan | grey... |
8fd2103cd26349aecfbd8fded4956bbe56067ebd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ideal/quotient_operations.lean | 106c861b9cc01367c5b5097e61a3aff8d6eaa80f | [
"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 | 27,925 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.ideal.operations
import ring_theory.ideal.quotient
/-!
# More operations on modules and ideals related to quotients
> THIS FILE IS SYNCHRONIZED WITH MATHLIB... |
2d760b159b08115d3092e64cb63092d3b5aa7050 | dc06cc9775d64d571bf4778459ec6fde1f344116 | /src/analysis/convex.lean | 0cd3589e91b1741c2b87747d59ee365af6389e86 | [
"Apache-2.0"
] | permissive | mgubi/mathlib | 8c1ea39035776ad52cf189a7af8cc0eee7dea373 | 7c09ed5eec8434176fbc493e0115555ccc4c8f99 | refs/heads/master | 1,642,222,572,514 | 1,563,782,424,000 | 1,563,782,424,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,716 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
Convex sets and functions on real vector spaces
-/
import analysis.normed_space.basic
import data.complex.basic
import data.set.intervals
import tactic.interac... |
18ceccd6adba4557baf9cd5bb4e52fe34391b3b1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/kronRWIssue.lean | dc74a3a5a08b4b7de60d68b32a3ca6d70f596912 | [
"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 | 441 | lean | class Foo (α : Type) where
decEq : DecidableEq α
instance instDecidableEq {α} [Foo α] : DecidableEq α := Foo.decEq
instance instFooNat : Foo Nat := ⟨by infer_instance⟩
def kron (i j : α) [DecidableEq α] : Nat := if (i=j) then 1 else 0
theorem kron_right_mul (α : Type) [foo : Foo α] (i j : α) (x : Nat) : x * kron ... |
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