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22b3f18b7f2213aecc9e76898e234aadd24e2ce7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/extend_from.lean | dec8438065b17bb42e95d843636f251b63abfc26 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,035 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Anatole Dedecker
-/
import topology.separation
/-!
# Extending a function from a subset
The main definition of this file is `extend_from A f` where `f : X → Y`
and ... |
efd0a74cff9624c7298f53b5285c2a58257f36ce | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/calc_auto_trans_eq.lean | 0ce25dfda47a0b9590ebfed87cfda1340308eae1 | [
"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 | 530 | lean | import data.list
constant R : Π {A : Type}, A → A → Prop
infix `~` := R
example {A : Type} {a b c d : list nat} (H₁ : a ~ b) (H₂ : b = c) (H₃ : c = d) : a ~ d :=
calc a ~ b : H₁
... = c : H₂
... = d : H₃
example {A : Type} {a b c d : list nat} (H₁ : a = b) (H₂ : b = c) (H₃ : c ~ d) : a ~ d :=
calc a = b : H₁
... |
37151da649fac6ad7762bfbfc2df1225645351c5 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/ResolveName.lean | 6ab7d4aa1df7a11e548bf097a5c9d344ded1be32 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 14,384 | 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.Data.OpenDecl
import Lean.Hygiene
import Lean.Modifiers
import Lean.Exception
namespace Lean
/-!
We use aliases to impleme... |
b261b93f973ed7d1d3f587da6d0e2dd9937d68d3 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/exercise_7_10_1.lean | 3d8142af021739d04ccd57c969240e916eb7faa3 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 4,348 | lean | namespace hidden
def prod (n : ℕ) : ℕ → ℕ :=
nat.rec_on n (λ m, 0) (λ n prod_n, λ m, m + prod_n m)
def pred (n : ℕ) : ℕ :=
nat.rec_on n 0 (λ n pred_n, n)
def sub (n m : ℕ) : ℕ :=
nat.rec_on m n (λ m sub_n_m, pred (sub_n_m))
def exp (n m : ℕ) : ℕ :=
nat.rec_on m 1 (λ m exp_n_m, n * exp_n_m)
lemma one_prod ... |
c5c3dbbdd7fb898ae83d84be0b601369fd2f3b2e | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/pushJoinThroughUnionOnLeft.lean | d12660d3ce98bf99ac7c199b666982584fad62f9 | [
"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 | 1,833 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..meta.UDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
theorem rule:
forall ( Γ scm_t scm_account scm_bonus scm_dept scm_emp: Schema) (rel_t: relation scm_t) (rel_accou... |
eb56eb7bc8d88ca509c2cb3a76b9dc89c01e8c24 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/group_action/defs.lean | ee7b302f12f9bdb0e7ef7a5c88eeb1c685070117 | [
"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 | 31,767 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov
-/
import algebra.group.type_tags
import algebra.hom.group
import algebra.opposites
import logic.embedding
/-!
# Definitions of group actions
This file de... |
89ba09fbce102c58256a6346ab58c51870f1cc46 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/hom_functor.lean | 42b06ff978ecfd5a509123bf2acc9ec08252eada | [
"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 | 885 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
-/
import category_theory.products.basic
/-!
The hom functor, sending `(X, Y)` to the type `X ⟶ Y`.
-/
universes v u
open opposite
open category_theory
nam... |
2d20436511bff2c59c1ee9de9ff7d5705d0e8b9a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/simplifier13.lean | e12675a886bee4e93daca8e0d13e95fa880483a9 | [
"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 | 346 | lean | universe l
constants (T : Type.{l}) (f : T → T → T) (g : T → T)
constants (P : T → Prop) (Q : Prop) (Hfg : ∀ (x : T), f x x = g x)
constants (c : Π (x y z : T), P x → P y → P z → Q)
constants (x y z : T) (px : P (f x x)) (py : P (f y y)) (pz : P (g z))
attribute Hfg [simp]
#simplify eq env 0 c (f x x) (f y y) (g z) ... |
fa96568ae0480cf7b53a7c491ff449c47c1c910e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/witt_vector/isocrystal.lean | bc06cef87421a8de27bded8a371b9eb30ae2f952 | [
"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 | 8,649 | lean | /-
Copyright (c) 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import ring_theory.witt_vector.frobenius_fraction_field
/-!
## F-isocrystals over a perfect field
When `k` is an integral domain, so is `𝕎 k`, and we can consi... |
364242cc104e7689d227cf78c4b7ad1a4f7e1d34 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/algebra/open_subgroup.lean | 5d0b62436c58bc47a6d72232553e7fc88dd33fd1 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,369 | lean | /-
Copyright (c) 2019 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import order.filter.lift
import topology.opens
import topology.algebra.ring
open topological_space
open_locale topological_space
set_option old_structure_cmd true
/... |
82c842f95b485a1c245240559ed86ab2f9b6cc93 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/module/localized_module.lean | 7df4bd5427c3bc969e24b7767158e2102ee2d9f8 | [
"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 | 41,335 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang, Jujian Zhang
-/
import group_theory.monoid_localization
import ring_theory.localization.basic
import algebra.algebra.restrict_scalars
/-!
# Localized Module
> THIS FILE I... |
3c49cad67c550dbdd73d90e0e4b37e459a9c5923 | 55781f50a9288b13ccfbaca46c185208d861dacc | /src/start-here.lean | cc677dc69face68fd01250b6fe2494bca4750919 | [
"Apache-2.0"
] | permissive | kevinsullivan/dms20-old2 | ce1ab5a71e73b304e68a0baddf462595589a9b37 | f0f6368106f8cf39fa3e8a52ef2e9502914728ed | refs/heads/master | 1,607,521,213,167 | 1,578,793,021,000 | 1,578,793,021,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 46 | lean | import topology.basic
#check topological_space |
5b4f5946c61d44f9afc8bd2f01cbee5d1488f55e | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/types/unit.hlean | b77ac5be8a1fa919659f18ea8412f06dac5c2857 | [
"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 | 734 | 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
-/
open equiv option
namespace unit
definition unit_equiv_option_empty : unit ≃ option empty :=
begin
fapply equiv.MK,
{... |
071538eea5944e2098037a527cef682c2d0be1a0 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/reduction/cpge_reduction_012_c.lean | 6f6e1ba797ac842144398d2fa3b1f436bd8250f9 | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,027 | lean | import data.real.basic
import data.polynomial.derivative
import linear_algebra.basic
import linear_algebra.finite_dimensional
-- On se place dans le R -espace vectoriel E = R[X] .
-- (a) Soit H un sous-espace vectoriel de dimension finie et f un endomorphisme de H. Montrer qu'il existe p ∈ N tel que
-- ∀k ≥ p, Ke... |
8b04e9651e1ebedd13ddf70a24ded010ae88cda3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/mv_polynomial/basic_auto.lean | 0fa05d00075545cd66d75d7b4ab25453f6027727 | [] | 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 | 39,360 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.eval
import Mathlib.PostPort
universes u_1... |
6117dc5fe8cc4b6eeea706376cdc5a235617d179 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/pkg/user_attr/UserAttr/BlaAttr.lean | efcaf85273393e08e924f742b27e8dc338030896 | [
"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 | 721 | lean | import Lean
open Lean
initialize blaAttr : TagAttribute ← registerTagAttribute `bla "simple user defined attribute"
/-- My new simp attribute -/
register_simp_attr my_simp "my own simp attribute"
syntax (name := foo) "foo" num "important"? : attr
initialize fooAttr : ParametricAttribute (Nat × Bool) ←
registerPa... |
5bfe02c13c713e0c08778cc98d89eefacbbbe40f | cc4e32129597fc42f4ac133f6eef3dbfd3d16218 | /Analysis/Pre.lean | 985c8a7932daa969be032e44eded98cb7acc1d8a | [] | no_license | JasonKYi/analysis_in_lean4 | 9791c76ab5f9408731acca075cf604ef4700b117 | 280d45bf2fc9c2f599b365a60a4b980bb2721c24 | refs/heads/main | 1,683,375,225,248 | 1,622,048,948,000 | 1,622,048,948,000 | 370,429,249 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 182 | lean | class Mem (α : outParam $ Type u) (γ : Type v) where
mem : α → γ → Prop
infix:55 " ∈ " => Mem.mem
notation:55 x " ∉ " s => ¬ x ∈ s
instance : Coe α α := ⟨id⟩ |
cedd6fd362fbe8813d73aead63bec06de7dda21a | d1bbf1801b3dcb214451d48214589f511061da63 | /src/measure_theory/interval_integral.lean | 2bc700e5c0b4cc836fc46031927883729663745c | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 74,389 | 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 measure_theory.set_integral
import measure_theory.lebesgue_measure
import analysis.calculus.fderiv_measurable
import analysis.calculus.mean_value
/-!
#... |
2a87a58f2dcb7a3df964be4e5c1473431e3c7086 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/nat/basic.lean | e8a701cb2757c5d1b3e44c0a81903d0a621c3e33 | [
"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 | 62,103 | 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 algebra.group_power.basic
import algebra.order_functions
/-!
# Basic oper... |
20cb69ac82b418ed69dde32e1c1f42b34433f8f7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/nat/gcd_auto.lean | 5cc447e3ce0eb0f73c96c395dc215ff871e3a114 | [] | 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 | 15,624 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.basic
import Mathlib.PostPort
namespace Mathlib
/-!
# Definitio... |
1bad306b21964bc4b2ae5aba4caf1fdaf0454b12 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/option.lean | 944af475171d1cdf3a543969956deb19a2542163 | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 313 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
universes u v
namespace option
@[reducible] def iget {α : Type u} [inhabited α] : option α → α
| (some x) := x
| none := arbitrary α
end option
|
81e315ad708297bb9f8a116daada5a7d27f094fb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/special_functions/trigonometric.lean | 0307a1acd67e8b54d08e5b7659ee1fccd5beb205 | [] | 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 | 109,694 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.special_functions.e... |
709b437aa8dfc75c58a989819832ddd59dbe2fa7 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Data/PrefixTree.lean | 6f10c4eb76e45596ea3ed218e4c194972a565d42 | [
"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 | 3,875 | 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 Std.Data.RBMap
namespace Lean
open Std
/- Similar to trie, but for arbitrary keys -/
inductive PrefixTreeNode (α : Type u) (β : Type v) where
| N... |
378c8869063ecd611f486f4ba4f5ea0ab4e8ed9a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/435.lean | 0e0048ebfc1b40844b7f00e55278c3dcee83c9ba | [
"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 | 203 | lean | variable {α} (op : α → α → α)
local infixr:60 " ∙ " => op
example (x y : α) : x ∙ y = y ∙ x := sorry
infixr:60 " *** " => op -- Error, only local notation can reference section variables
|
d86b6c1a431e048fedca8933bf179483e78abe8e | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/topology/metric_space/basic.lean | 37d69c29d05d0b669c9fd2324e77c1071519c43f | [
"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 | 98,818 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import topology.metric_space.emetric_space
import topology.algebra.ordered.basic
import data.... |
de1bcfce04117190c03b65688625c3f1eb190a33 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /tools/tactic/examples.lean | 573469a11c2994e55bec152c4be6a220728f9160 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 1,694 | lean | open tactic
universe u
variable {α : Type}
example (s t u : set ℕ) (h : s ⊆ t ∩ u) (h' : u ⊆ s) : u ⊆ s → true :=
begin
dunfold has_subset.subset has_inter.inter at *,
-- trace_state,
intro1, triv
end
example (s t u : set ℕ) (h : s ⊆ t ∩ u) (h' : u ⊆ s) : u ⊆ s → true :=
begin
delta has_subset.subset has_inte... |
a53c4a71c8d7f82c4610e77e0d9e3ed226dea982 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/dioph.lean | 7cb13e17d1d05338cc57fe8432ba2f8d2467d1b5 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 26,546 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fin.fin2
import data.pfun
import data.vector3
import number_theory.pell_matiyasevic
/-!
# Diophantine functions and Matiyasevic's theorem
> THIS FILE IS... |
78c5e4b9c8587fd1d8a5b757a45d16e0f8e0cbff | 2f8bf12144551bc7d8087a6320990c4621741f3d | /library/init/lean/compiler/ir/normids.lean | 3a9225fe83810f0065e1f853351e7ce01dc0008f | [
"Apache-2.0"
] | permissive | jesse-michael-han/lean4 | eb63a12960e69823749edceb4f23fd33fa2253ce | fa16920a6a7700cabc567aa629ce4ae2478a2f40 | refs/heads/master | 1,589,935,810,594 | 1,557,177,860,000 | 1,557,177,860,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,884 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.lean.compiler.ir.basic init.control.reader
namespace Lean
namespace IR
namespace NormalizeIds
abbrev M := ReaderT IndexRenaming Id
de... |
490b5c9f3ac362f5a0c10ba7a907e45c637e0b3c | 398b53a5e02ce35196531591f84bb2f6b034ce5a | /tpil/chapter4.lean | 491da5add3ef41d6329db232f896b431a7392aa0 | [
"MIT"
] | permissive | crockeo/math-exercises | 64f07a9371a72895bbd97f49a854dcb6821b18ab | cf9150ef9e025f1b7929ba070a783e7a71f24f31 | refs/heads/master | 1,607,910,221,030 | 1,581,231,762,000 | 1,581,231,762,000 | 234,595,189 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,775 | lean | -- Exercise 1
--
-- Prove these equivalences:
section
variables (α : Type) (p q : α → Prop)
example : (∀ x, p x ∧ q x) ↔ (∀ x, p x) ∧ (∀ x, q x) :=
begin
split,
{
assume h,
split,
{
assume hx,
exact and.left (h hx),
},
{
assume hx,
ex... |
448bc308e8f07f577e18d92561440f1d1721f396 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/fact_pi.lean | 486fe5b0ef338be7a0cf61299347555d5221b550 | [
"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 | 124 | lean | @[class]
def fact (p : Prop) := p
example {P Q R : Prop} [fact (P → Q → R)] : fact (P → Q → R) :=
by apply_instance |
de5eb65b2a288186086ace2879861509aabe94f9 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/compiler/uint_fold.lean | c989d63e6cb9bee40ca523a850b7534cd997ccf8 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 561 | lean | @[noinline]
def h (x : Nat) : UInt32 :=
UInt32.ofNat x
def f (x y : UInt32) : UInt32 :=
let a1 : UInt32 := 128 * 100 - 100;
let v : Nat := 10 + x.toNat;
let a2 : UInt32 := x + a1;
let a3 : UInt32 := 10;
y + a2 + h v + a3
partial def g : UInt32 → UInt32 → UInt32 | x, y =>
if x = 0 then y else g (x-1) (y+2)
def foo :... |
7045d712e2d8db633cd047afa173c887ca35cb40 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/eq2.hlean | 1942e40ccaa30895ea1d9489181306f816115a62 | [
"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 | 4,716 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about 2-dimensional paths
-/
import .cubical.square
open function
namespace eq
variables {A B C : Type} {f : A → B} {a a' a₁ a₂ a₃ a₄ : A} {b b' : B}
... |
38340b0c9e19ed718835fe3ff6a8167ab53d5381 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/free_algebra.lean | 179509da0ecdbb04cc7d6dadf122a282453f305d | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,046 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Adam Topaz
-/
import algebra.algebra.subalgebra
import algebra.monoid_algebra.basic
import linear_algebra
import data.equiv.transfer_instance
/-!
# Free Algebras
Given a ... |
2186ef1c29492866a94a6c7ddd370b6963cf01d9 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/topology/instances/real.lean | e3d1f10ada31a25ad323c51be8e2f878acb6f36a | [
"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 | 14,449 | 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 topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import ring_theory.subring
import group_theory.a... |
ea354f9f1f9cec0017f4d7f47d3d5214a7ca50b9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/equiv/encodable/basic_auto.lean | a734a42b073e73c2a2a59e72ffe59ca622b846e9 | [] | 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 | 15,766 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Mario Carneiro
Type class for encodable Types.
Note that every encodable Type is countable.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
imp... |
e6cc4d3090902f4eeb41240a1c8cd58803a237c1 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/squarefree.lean | 6b678b07f0f380b5b35febdf027a993ed7f74965 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,728 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import ring_theory.unique_factorization_domain
import ring_theory.int.basic
import number_theory.divisors
/-!
# Squarefree elements of monoids
An element of a monoid... |
1431efa4ed5e340cb417a89f47066eb37ee7d0ea | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/IdempotentMultMagma.lean | 8f9f6facbb6db25e1f6c7213551a5fa0dcd534d7 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,534 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section IdempotentMultMagma
structure IdempotentMultMagma (A : Type) : Type :=
(times : (A → (A → A)))
(idempotent_times : (∀ {x : A} , (times x x) = x))
open Ide... |
673bafd211605f15b2b3419aa05c5f333349dc17 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/Borrow.lean | d5500fc3bd167364b498002aea8bcdefd26e4ffe | [
"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 | 10,891 | 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.ExportAttr
import Lean.Compiler.IR.CompilerM
import Lean.Compiler.IR.NormIds
namespace Lean
namespace IR
namespace Borrow
namespace O... |
fd748a2b29b2c8e2f5390d036ed0114f36443692 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/sym/basic.lean | dd8cd026c6e605893cda391aad1907c90cfa26ad | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,706 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.multiset.basic
import data.vector.basic
import data.setoid.basic
import tactic.apply_fun
/-!
# Symmetric powers
This file defines symmetric powers of a type. ... |
bbe30d50435686786d8b849727a482968b1ab9ba | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/n5.lean | cc17a3bb742c020e34084981f66daf52e7da3acd | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 422 | lean | constant N : Type.{1}
constant f : N → N → N → N
constant g : N → N → N
constant h : N → N → N → N
constant s : N → N → N → N → N
precedence `*`:75
precedence `|`:75
notation a * b:prev | c:prev := f a b c
notation a * b := g a b
notation a * b * c:prev := h a b c
notation a * b | c * d:prev := s a b c d
constants a... |
0c2d6f14b4dc9cffacd0c44cb0a7840e674246a1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_topology/dold_kan/projections.lean | 6838b6958d465a9dc48964eb94d8f618a295e09f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 6,952 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.faces
import category_theory.idempotents.basic
/-!
# Construction of projections for the Dold-Kan correspondence
TODO (@joelriou) continu... |
4dfa8f3587b4768002379fe7ecfe406c64294332 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/measure_theory/haar_measure.lean | b715a401c7b68145cf31254dc47773269ba17fd3 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 29,882 | 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.content
import measure_theory.group
/-!
# Haar measure
In this file we prove the existence of Haar measure for a locally compact Hausdorff ... |
ee7c52470d150d1bcb1f5f2104c87a1fc44f4c7a | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Meta/TransparencyMode.lean | 3a36af4b7fa67fc5ff95eb1861e3628fb31f7e1c | [
"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 | 817 | 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
-/
namespace Lean.Meta
inductive TransparencyMode where
| all | default | reducible | instances
deriving Inhabited, BEq, Repr
namespace TransparencyMode
... |
8454cb1d373a5c15ca77de62d6ad86d8fdbe8d8c | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/calculus/bump_function_inner.lean | f236cbd0c333399c682678e075c402072b8e7197 | [
"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 | 23,869 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import analysis.calculus.iterated_deriv
import analysis.inner_product_space.calculus
import measure_theory.integral.set_integral
/-!
# Infini... |
7162c7b12f692ab6e702c381839bdcbc6afa6bf6 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/tactic/interval_cases.lean | 47b3a1811d6a128318bc2580d5b293bad153fcda | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,033 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.fin.interval
import data.int.interval
import data.pnat.interval
import tactic.fin_cases
/-!
# Case bash on variables in finite intervals
This file provi... |
ecfa0213bf86d257a6b7426676a5d31d9ee04f35 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/simps.lean | 3a986891347ba85da8e0ff9c6cd67113fd86279d | [
"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 | 8,642 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.core
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically generate simp-lemmas
reducing a definition when projections... |
aad3982384a8e4f11e54a10dff9c06e15594747e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Server/Snapshots.lean | f49e5db56449274b68ec7cdd6a322cc8b45b80a0 | [
"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 | 6,896 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Init.System.IO
import Lean.Elab.Import
import Lean.Elab.Command
import Lean.Widget.InteractiveDiagnostic
/-! One can think of this module as being a ... |
509615332e6ad974fc21ec8fa6c7ec156c45c5e9 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/limits/shapes/pullbacks.lean | eaf73e71dd838563119e69033e43832f7a5952b8 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 26,294 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel, Bhavik Mehta
-/
import category_theory.limits.shapes.wide_pullbacks
import category_theory.limits.shapes.binary_products
/-!
# Pullbacks
We define a ca... |
162a8a03725332850e171ad0d114834e41581ba1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/qpf/multivariate/constructions/prj.lean | 959e3d1617b7c1003d3d060b3b05d492f121f9b5 | [
"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 | 1,634 | lean | /-
Copyright (c) 2020 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.functor.multivariate
import data.qpf.multivariate.basic
/-!
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR... |
e27e7c9b0975e127337b0efb2341ff3e3e98f1d6 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /library/data/nat/default.lean | 958b36316e39d64572caf3cc3d93f31cc1b02960 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 217 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Jeremy Avigad
import .basic .order .sub .div .bquant .comm_semiring
|
e08f915205429c6f6e11333ffceff0d7fd3329f0 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/ring_theory/perfection.lean | 5751c59126e97172f2880359afaf1840e2c9255f | [
"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 | 24,319 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.char_p
import algebra.ring.pi
import analysis.special_functions.pow
import field_theory.perfect_closure
import ring_theory.localization
import ring_theory.subri... |
c8e8106354b2d51cfdeb6ff427f7cdc48133a453 | b24beef0a8b1a8e92be756a25aa78e24908b2b14 | /src/exercises_sources/wednesday/afternoon/algebraic_hierarchy.lean | 6b71c1a1b82b526086af3b89f83dde37c6b50f82 | [] | 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 | 18,878 | lean | /-
This is a sorry-free file covering the material on Wednesday afternoon
at LFTCM2020. It's how to build some algebraic structures in Lean
-/
import data.rat.basic -- we'll need the rationals at the end of this file
/-
As a mathematician I essentially always start my Lean files with the following line:
-/
import tac... |
247ff0fdfe8862890d0eff5a77b8b8f8787aa59c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/simps.lean | 8b0279f2be0470a974dfc16cc76b016bee5dbf40 | [
"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 | 46,720 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import algebra.group.to_additive
import tactic.protected
import data.sum
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically gene... |
ad24faa32673bb70b7e93f509ebf3716776670ee | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/limits/cones.lean | 7f43d1265ac03771d3de85f948dfceda864f709b | [
"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 | 28,947 | 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, Floris van Doorn
-/
import category_theory.const
import category_theory.discrete_category
import category_theory.yoneda
import category_theory.reflects_... |
d67c59dbbfa0b13181c7ccf6d6f83bfcabd85faa | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/rewrite_all/basic.lean | ce2d621de0d9360e7df0dd6e0a27b6e37325754d | [
"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 | 1,961 | lean | /-
Copyright (c) 2018 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Scott Morrison
-/
import data.option.defs data.mllist tactic.core
open tactic
@[derive decidable_eq, derive inhabited]
inductive side
| L
| R
def side.other : side → side
... |
8cb259b9a05b5dd849f229a85892b6dfeed5a499 | 7a76361040c55ae1eba5856c1a637593117a6556 | /src/lectures/love03_forward_proofs_demo.lean | 89abc0d760b8fa7d82157cb4e8783c384a0d268a | [] | no_license | rgreenblatt/fpv2021 | c2cbe7b664b648cef7d240a654d6bdf97a559272 | c65d72e48c8fa827d2040ed6ea86c2be62db36fa | refs/heads/main | 1,692,245,693,819 | 1,633,364,621,000 | 1,633,364,621,000 | 407,231,487 | 0 | 0 | null | 1,631,808,608,000 | 1,631,808,608,000 | null | UTF-8 | Lean | false | false | 10,685 | lean | import .love01_definitions_and_statements_demo
/-! # LoVe Demo 3: Forward Proofs
When developing a proof, often it makes sense to work __forward__: to start with
what we already know and proceed step by step towards our goal. Lean's
structured proofs and raw proof terms are two styles that support forward
reasoning.... |
2bec2bf4166bd96c9d8720f19db6f1183d18035e | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/data/sum.lean | 570d428d3f799f672de9b28990bcff4aa922bafa | [
"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 | 1,930 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
The sum type, aka disjoint union.
-/
import logic.connectives
open inhabited eq.ops
notation A ⊎ B := sum A B
namespace sum
notation A + B ... |
46b5dc6bb8df442125f747d16816ea46529074ea | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/multiset.lean | 90f94dbde5deff21c182dae8d804b236b7f6b736 | [
"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 | 133,509 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Multisets.
-/
import logic.function order.boolean_algebra
data.equiv.basic data.list.basic data.list.perm data.list.sort data.quot data.string
algebra.order_f... |
9d74e4eb8010a674c82bb40c997491aaabe18e7a | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/allGoals.lean | 58074ff0cdcbc88e121488f51b06b3449bac3f5e | [
"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 | 1,690 | lean | inductive Weekday where
| sunday : Weekday
| monday : Weekday
| tuesday : Weekday
| wednesday : Weekday
| thursday : Weekday
| friday : Weekday
| saturday : Weekday
def Weekday.next : Weekday -> Weekday :=
fun d => match d with
| sunday => monday
| monday => tuesday
| tue... |
e898f9a91f2f77052eaa6c271c025342163baf40 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/LeftLoop.lean | a3fc09f415f48714ac1f5c9a50c82f80889932c7 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,556 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section LeftLoop
structure LeftLoop (A : Type) : Type :=
(op : (A → (A → A)))
(e : A)
(runit_e : (∀ {x : A} , (op x e) = x))
(linv : (A → (A → A)))
... |
cdb2c4a1a68eb0a3fa4cc9efaa54bfb26be97bf8 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/util/index.lean | d2907d47eb49628fb192f1cf615155b66332af42 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 22,492 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .relation
@[derive decidable_eq]
inductive {u} index {α : Type u} : list α → Type u
| head (x : α) (xs : list α) : index (x :: xs)
| tail (x : α) (xs : list α) : ind... |
21bc146fa95c931af75882b7e2ead9bc772aa4ef | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed_space/completion.lean | d575ce664cc02a297107fa7aa68f4d5da41eb513 | [
"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 | 3,820 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.normed.group.completion
import analysis.normed_space.operator_norm
import topology.algebra.uniform_ring
/-!
# Normed space structure on the c... |
786e9e89663450309592688dfb3f3204d304078b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/W/basic.lean | 98e0919dbef24f4fa7655e334e64d67a131316c8 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,824 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import logic.equiv.list
/-!
# W types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
Given `α : Type` ... |
cc542fe0cdc06b2e08d24a446a8989be88535ee5 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic.lean | da69ca11e08f12ea73156553cbc4a461dd81c6b3 | [
"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 | 2,394 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Lean3
import Mathport.Syntax.Translate.Tactic.Mathlib
open Lean
open Lean.Elab.Tactic (Location)
namespace Mathport
n... |
0bdaac4e849ed3eaaf21a42d449caab4542e9d03 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /algebra/lattice/basic_experiment.lean | 9d44ed3b9bd825841fab5361a3965db65807be24 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 9,731 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines the inf/sup (semi)-lattice with optionally top/bot type class hierarchy.
-/
import ..order tools.auto.finish
open auto
set_option old_structure_cmd true
univ... |
5a897db5bbd728d3d94fb4375ac70ca32c37de4f | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/category/omega_complete_partial_order.lean | 39f650f57afc27ee48ef40a9273bf6fe9ac8376d | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,971 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.omega_complete_partial_order
import order.category.Preorder
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
impo... |
726ae78822583f4be5aef9d848ce8a84fb3907fb | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/structure_test.lean | d2ea0389bb82e6de7f7e52cbee143f78de92d3a7 | [
"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 | 709 | lean | import logic data.sigma
inductive point (A B : Type) :=
mk : Π (x : A) (y : B), point A B
inductive color [class] :=
red | green | blue
constant foo.{l} (A : Type.{l}) [H : decidable_eq A] : Type.{l}
constants a : num
section
universe variable l
variable A : Type.{l}
variable Ha : decidable_eq A
include Ha... |
6b679676a3c40fa9abac29a0051bce509bb1ccd0 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/depElim1.lean | 76779c329b24acf13c6b22501b6ae6e09d23ef2e | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,940 | lean | import Lean.Meta.Match
new_frontend
open Lean
open Lean.Meta
open Lean.Meta.Match
/- Infrastructure for testing -/
universes u v
def check (x : Bool) : IO Unit :=
«unless» x $ throw $ IO.userError "check failed"
def inaccessible {α : Sort u} (a : α) : α := a
def val {α : Sort u} (a : α) : α := a
def As {α : Sort u}... |
1aa1242f1917a3ed56092af6634c2dfa1b2f7e98 | 0ce335c3cee4b6a212935fdfd1a5270985454648 | /src/algebra/big_operators.lean | 6f6b34d0fdc6ad5f6137fddb6082d3bcaf1a5d7a | [
"Apache-2.0"
] | permissive | yashen32768/mathlib | 191f6113ccd0ef74091c3f5951ae84c0aa85516f | f54463254784b400da2e33dfa58f94775e3de845 | refs/heads/master | 1,598,060,530,541 | 1,571,523,082,000 | 1,571,523,082,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,614 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import tactic.tauto data.list.basic data.finset data.nat.enat
import algebra.group algebra.ordered_group algebra.group_... |
2d43690874464002a159ea149eefe3f1f5fa0f8a | 92e157ec9825b5e4597a6d715a8928703bc8e3b2 | /src/mywork/hw4.lean | 3f6058d21c4dcac845bdb2fcf52db6eb7f6d9429 | [] | no_license | exb3dg/cs2120f21 | 9e566bc508762573c023d3e70f83cb839c199ec8 | 319b8bf0d63bf96437bf17970ce0198d0b3525cd | refs/heads/main | 1,692,970,909,568 | 1,634,584,540,000 | 1,634,584,540,000 | 399,947,025 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,827 | lean | /-
chameleon
exb3dg; https://github.com/exb3dg/cs2120f21.git
-/
-- 1
example : 0 ≠ 1 :=
begin
-- ¬ (0 = 1)
-- (0 = 1) → false
assume h,
cases h,
end
-- 2
example : 0 ≠ 0 → 2 = 3 :=
begin
assume h,
have f : false := h (eq.refl 0),
exact false.elim (f),
end
-- 3
example : ∀ (P : Prop), P → ¬¬P :=
begin... |
3e67e2dac44908080cdf0dd3886ca2ea2ca92046 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/uniform_space/separation.lean | c531658045213d23516e39cd3d74550ce364a0fa | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 21,551 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
-/
import topology.uniform_space.basic
import tactic.apply_fun
/-!
# Hausdorff properties of uniform spaces. Separation quotient.
This file studies un... |
8bd83fb56c7d81029d249d5cb2d0505e1591ae28 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Notes/Theorem_Proving_in_Lean/Chapter3/3.2.lean | 39b5ee826033fed1185e4077801fee42b25cfc0c | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,199 | lean | -- 3.2 Working with Propositions as Types
constants p q: Prop
theorem t1: p → q → p := fun (hp: p), fun (hq: q), hp
-- This newly-introduced theorem is the same as the constant we defined
-- in the 3.1 notes, however in this case the arguments are of type Prop
-- instead of type Type (?).
-- Note that in the above,... |
77dd1f4a67f0c7c45ccefbb557fa9ee229546fe1 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/runSTBug.lean | 18d1b6acdff86d9be9e8fbb6a99462f46c79df1d | [
"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 | 444 | lean | import Lean
open Lean
def f (xs : List Nat) (delta : Nat) : List Nat :=
runST (fun ω => visit xs |>.run)
where
visit {ω} : List Nat → MonadCacheT Nat Nat (ST ω) (List Nat)
| [] => []
| a::as => do
let b ← checkCache a fun _ => return a + delta
return b :: (← visit as)
def tst (xs : List Na... |
a5b4d82bd8da61a1be6b37ad77cb38991839d0c0 | e791a827712b9cda7e14eb9861a152725a60f884 | /main.lean | 417687683f092989cde8762f31f82e1f0b229663 | [] | no_license | Shamrock-Frost/FormalComplexAnalysis | 29bf1d45f59b22d6553b24fe5b630464f9c2d9fa | 3cac79d9b603b1edf7df1bc7e948c74eb86a2cc0 | refs/heads/master | 1,588,634,495,874 | 1,554,397,551,000 | 1,554,397,551,000 | 179,541,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,808 | lean | import .complex .algebra .macros .sets
theorem problem16
: ∀ (a z : ℂ), |z| = 1 → 1 - (complex.conj a)*z ≠ 0
→ |z - a|/|1 - (complex.conj a) * z| = 1 :=
begin
intros a z h1' h2, have h1 := eq_one_of_sqrt_eq_one h1',
suffices : complex.norm (z - a)
= complex.norm (1 - (complex.conj a) * ... |
8b9104bdab9467463401fa5900317c64f14b4320 | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/affine_space/affine_subspace.lean | 951fb9a58d9ce0f6e91545d3dba3e1ac268b94ba | [
"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 | 45,112 | 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 linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines affine ... |
b0d941d3752b33e1da489a0cc157bbe0cec3b8ba | be5348f86d661459153802318209304b793c0e2a | /src/del_root.lean | 5fb885ae06332bbf734ecff6c5838c9d04135787 | [] | no_license | reglayass/lean-avl | 6b758c7708bdb3316b1b97ada3e3f259b49da58a | c7bffa75d7548e5ff8cdd7d69f5a58499f883df1 | refs/heads/master | 1,692,297,536,477 | 1,633,946,864,000 | 1,633,946,864,000 | 340,881,572 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,810 | lean | import definitions rotations shrink forall_keys tactic.linarith tactic.induction
set_option pp.generalized_field_notation false
universe u
namespace del_root_lemmas
open btree rotation_lemmas shrink_lemmas forall_keys_lemmas
variables {α : Type u}
lemma del_root_del_root_view (t : btree α) :
del_root_view t (del... |
8b11514fefe60758f49a5c606bc56658652c981e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/fieldNamesWithMinus.lean | 391cecdeac1cc9eef0e9b64c57190fe3737c3f95 | [
"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 | 210 | lean | structure Minus where
«i-love-lisp» : Bool
#check Minus.«i-love-lisp»
#check { «i-love-lisp» := true : Minus }
#check fun (x : Minus) => x.«i-love-lisp»
#check fun (x : Minus) => (x).«i-love-lisp»
|
8205732f54addaee32cdd7b195452785f43287bd | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/complex/exponential_bounds.lean | 1978875b8f5d958a2ac6b9b25b3ece5b98075abe | [
"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 | 1,744 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Joseph Myers
-/
import data.complex.exponential
/-!
# Bounds on specific values of the exponential
-/
namespace real
local notation `abs'` := _root_.abs
open is_absolut... |
16fff35acc1666b7c1e66aee0475ae7384ee7caf | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/list/sort.lean | c41838c026896a7016115a4d225d6905782083c7 | [
"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 | 7,604 | 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
Naive sort for lists
-/
import data.list.comb data.list.set data.list.perm data.list.sorted logic.connectives algebra.order
namespace list
open decidable nat
va... |
5b186642ce28e709be62d241aac0c3e908276763 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/normed_space/operator_norm.lean | 9d976fc58c16837d3c357988bd19efdab5bbe04f | [
"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 | 41,446 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import linear_algebra.finite_dimensional
import analysis.normed_space.riesz_lemma
import analysis.asymptotics
/-!
# Operator norm o... |
11cfae09c24cdb15123c1fc139ac61efe0ec393f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/fin.lean | 4fb4f1955eb3709155bc1ee64ec2c4bb6204578b | [
"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 | 1,755 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Scott Morrison, Johan Commelin
-/
import data.finset.card
/-!
# Finsets in `fin n`
A few constructions for finsets in `fin n`.
## Main declarations
* `finset.fin_range`... |
2b09f95485cc60fb8097d6aa2a213676bbe9b98c | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/structure.lean | dd8206c3339e40eb6a6ced968cef06eaa939f803 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 1,208 | lean | import Init.Lean
open Lean
structure S1 :=
(x y : Nat)
structure S2 extends S1 :=
(z : Nat)
structure S3 :=
(w : Nat)
structure S4 extends S2, S3 :=
(s : Nat)
def check (b : Bool) : MetaIO Unit :=
unless b $ throw $ IO.userError "check failed"
class S5 :=
(x y : Nat)
inductive D
| mk (x y z : Nat) : D
def tst :... |
696f0c49d0f517e1b2ffd28deba63f7ee1d07b76 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/buffer/parser/basic.lean | bb48257c8e22958886bf465ef8397c3601bd81d9 | [
"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 | 110,086 | lean | /-
Copyright (c) 2020 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.string.basic
import data.buffer.basic
import data.nat.digits
/-!
# Parsers
`parser α` is the type that describes a computation that can ingest a `char... |
c618c3ffc38629ebc12bf9f466eee32487a6aefa | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/group/type_tags.lean | 17c13d3ea634f1d2abb80fe2563e80931e460e4f | [
"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 | 7,273 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.group.hom
/-!
# Type tags that turn additive structures into multiplicative, and vice versa
We define two type tags:
* `additive α`: turns any multip... |
72c53a3166687ac354dd98f32cf973ed62f17973 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/riesz_lemma.lean | a6fd90c3a5b2a72b82cc48626885641074553cec | [
"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 | 5,355 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo, Yury Kudryashov
-/
import analysis.normed_space.basic
import topology.metric_space.hausdorff_distance
/-!
# Applications of the Hausdorff distance in normed spaces
Riesz's lemma, s... |
1e451fb6d8bd21db2985a7da55839510dca5852f | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/lean/run/float_cases_bug.lean | aef21a2a2e5b7bd0b6f415e619026f12a48f858f | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 67 | lean | def foo (xs : List Nat) :=
xs.span (fun n => coe (decide (n = 1)))
|
7a01fbc6416c58c043fa6c378efd8d5057635a89 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/src/pfin/ops.lean | a56dbb2e47c34783f0cca26f5531f29cbfa5553c | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,203 | lean | import pfin.basic
namespace pfin
open nat
variable {n : nat}
protected def succ : pfin n → pfin (succ n)
| ⟨a, h⟩ := ⟨nat.succ a, succ_lt_succ h⟩
def of_nat {n : nat} (a : nat) : pfin (succ n) :=
⟨a % succ n, nat.mod_lt _ (nat.zero_lt_succ _)⟩
private lemma mlt {n b : nat} : ∀ {a}, n > a → b % n < n
| 0 h := na... |
a4390c5906fe68c94f8fd52dfb0fd1b5def8c622 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/ideal/quotient.lean | ca8c7d82c5b75b41e4109898c568c0b9d94a5aaf | [
"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 | 15,496 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro, Anne Baanen
-/
import linear_algebra.quotient
import ring_theory.ideal.basic
/-!
# Ideal quotients
This file defines ideal quotients as a special c... |
7d26e44b5b846543e8f1493f3f1ec01f7f93ab61 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Cleanup.lean | a6031aec2bc7d149060faca6a8af495aceeef45d | [
"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 | 2,765 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.CollectFVars
import Lean.Meta.Tactic.Clear
namespace Lean.Meta
private partial def cleanupCore (mvarId : MVarId) : MetaM MVarId := do
m... |
a902928601c245bcde2fd0c0e1e4f9e10153b20a | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /test/set.lean | ecd1abd0def11c06cbc36295d592ad735da9fe6b | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 1,055 | lean | import data.matrix.notation
example (x : ℕ) (h : x = 3) : x + x + x = 9 :=
begin
set y := x with ←h_xy,
guard_hyp y := ℕ,
guard_hyp h_xy := x = y,
guard_hyp h := y = 3,
guard_target y + y + y = 9,
set! z : ℕ := y,
guard_target y + y + y = 9,
simp [h]
end
example : true :=
let X1 := (![![1, 0], ![0, 0... |
32440af260ee76e26f845a909aa3427c578ef9d6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/function/conditional_expectation/condexp_L2.lean | b099139680fd1e566c7fd0e9d6c39e3e1bf754c1 | [
"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 | 25,788 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.inner_product_space.projection
import measure_theory.function.conditional_expectation.unique
/-! # Conditional expectation in L2
> THIS FILE IS SYNCHRON... |
b949e7297f3b291bcc40135f4e62156a871bdfe0 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Parser/Command.lean | 9a29d49b4eba2f46233808388eaa9a2dc7305dab | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,552 | 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.... |
b2b3865c99cc226e551e438c7f851c4e1618231c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/linear_ordered_comm_group_with_zero.lean | 236ed476f8f1cefcd7c888901e265b4c6864d11c | [
"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 | 9,153 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin, Patrick Massot
-/
import algebra.ordered_group
import algebra.group_with_zero
import algebra.group_with_zero.power
import tactic.abel
/-!
# Linearly ordered com... |
09fc8c0414879df08a160063eb62cd3c15180427 | cb1829c15cd3d28210f93507f96dfb1f56ec0128 | /theorem_proving/02-dependent_types_part1.lean | f3f2dc13cd900be3e60fc5bf92299002ae8f07dd | [] | no_license | williamdemeo/LEAN_wjd | 69f9f76e35092b89e4479a320be2fa3c18aed6fe | 13826c75c06ef435166a26a72e76fe984c15bad7 | refs/heads/master | 1,609,516,630,137 | 1,518,123,893,000 | 1,518,123,893,000 | 97,740,278 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,183 | lean | -- Chapter 2. Dependent Type Theory
#print "------------------------------------------------"
#print "Section 2.1 Simple Type Theory"
-- page 10 ------------------------------------------
/- declare some constants -/
constant m : nat -- m is a natural number
constant n : nat
-- page 11 --------------------------... |
e3fe9df8b3291f9cf730249ad19197ae6fa23925 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/matrix/basic.lean | 649ceb76e903c592fbbdac9cac4a51c4e10c0685 | [
"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 | 80,273 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin, Lu-Ming Zhang
-/
import algebra.algebra.basic
import algebra.big_operators.pi
import algebra.big_operators.ring
import... |
ccf2fd2922dad4690d0384a24ea08195b7ad4fc6 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/abelian/opposite.lean | 745571ee4c297c20f5c6bc4d2ff6b73cfe1242a5 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 1,004 | 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 category_theory.abelian.basic
import category_theory.preadditive.opposite
import category_theory.limits.opposites
import category_theory.limits.constructions.l... |
44b1e48ad85e642900c9f2fd9c6daede2cc51cba | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/haveInfo.lean | 9f83f27bc0c2915967574bcc1714afe5d9a02d7a | [
"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 | 391 | lean | example : False := by
have : True := by
skip
--^ $/lean/plainGoal
skip
admit
example : False := by
have : True := by
--^ $/lean/plainGoal
skip
skip
admit
example : False := by
have : True := by
--^ $/lean/plainGoal
skip
skip
admit
example : False :=... |
7abfd9bade45fae446a1fbd17be1ea94c843687f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /test/localized/localized.lean | 07fad09ff60b7905ee6301121127e83e71482174 | [
"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 | 1,484 | lean | import tactic.localized
import algebra.group_power
open tactic
local infix ` ⊹ `:59 := nat.mul
local infix ` ↓ `:59 := pow
local infix ` ⊖ `:59 := pow
example : 2 ⊹ 3 = 6 := rfl
example : 2 ↓ 3 = 8 := rfl
example : 2 ⊖ 3 = 8 := rfl
example {n m : ℕ} (h : n < m) : n ≤ m := by { success_if_fail { simp [h] }, exact le_of... |
8bed1649afed8df8bd395ee148bc40545cad1963 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/tools/super/utils.lean | 7455e6197353c8f07c39e2c074648fe34190764c | [
"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 | 5,044 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
open tactic expr list
meta def get_metas : expr → list expr
| (var _) := []
| (sort _) := []
| (const _ _) := []
| (mvar n t) := expr.mvar n t :: get_metas t
| (local_... |
aef05637032225bec3bc0030104433120e847c53 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.13.lean | 3cbb34f140b11a4bda0a0c36eebd7ad12eb508bb | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 350 | lean | /- page 37 -/
import standard
theorem t1 (p q : Prop) (Hp : p) (Hq : q) : p := Hp
variables p q r s : Prop
check t1 p q -- p → q → p
check t1 r s -- r → s → r
check t1 (r → s) (s → r) -- (r → s) → (s → r) → r → s
variable H : r → s
check t1 (r → s) (s → r) H -- (s → r) → r → s
|
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