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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
87b77c7a9d62e8664ba5d9e10cf44c7a513bc7b0 | af6139dd14451ab8f69cf181cf3a20f22bd699be | /library/init/meta/mk_inhabited_instance.lean | c0e9d19a16314a632e4ac5adaa97288304a4a65a | [
"Apache-2.0"
] | permissive | gitter-badger/lean-1 | 1cca01252d3113faa45681b6a00e1b5e3a0f6203 | 5c7ade4ee4f1cdf5028eabc5db949479d6737c85 | refs/heads/master | 1,611,425,383,521 | 1,487,871,140,000 | 1,487,871,140,000 | 82,995,612 | 0 | 0 | null | 1,487,905,618,000 | 1,487,905,618,000 | null | UTF-8 | Lean | false | false | 1,687 | 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... |
15bd0c676aaa02feed19672c04465c9078cf6a0b | cb3da1b91380e7462b579b426a278072c688954a | /src/utils.lean | d8ecdc10c5c9deef28070d37e9ae41ec57de53a3 | [] | no_license | hcheval/tikhonov-mann | 35c93e46a8287f6479a848a9d4f02013e0bc2035 | 6ab7fcefe9e1156c20bd5d1998a7deabd1eeb018 | refs/heads/master | 1,689,232,126,344 | 1,630,182,255,000 | 1,630,182,255,000 | 399,859,996 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,411 | lean | import data.list
import tactic.basic
import data.finset.basic
import data.real.basic
import tactic
open lean lean.parser tactic interactive interactive.types expr
-- specialize_all tactic, written and posted by Yakov Pechersky on Zulip
meta def tactic.specialize_single (n : name) (l : loc) : tactic unit := do
val ... |
31b242ca7133aefe95ff943eeec02854bf434bf4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/uniform_space/equicontinuity.lean | fd356ae43e4ba2bd624d1222c59c9deb90a5a9f6 | [
"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 | 22,760 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import topology.uniform_space.uniform_convergence_topology
/-!
# Equicontinuity of a family of functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
29a3c3466ccb4b9cd8d6296705a0a8bbaf4f85a4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/structInst4.lean | cde1f3d5e319d8c4b81f00a3fcf23022fa4559f9 | [
"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 | 485 | lean | universe u
def a : Array ((Nat × Nat) × Bool) := #[]
def b : Array Nat := #[]
structure Foo :=
(x : Array ((Nat × Nat) × Bool) := #[])
(y : Nat := 0)
#check (b).modifyOp (idx := 1) (fun s => 2)
#check { b with [1] := 2 }
#check { a with [1].fst.2 := 1 }
def foo : Foo := {}
#check foo.x[1]!.1.2
#check { foo with... |
8f94d5b8ec511022dbe1b55f680d75e968d94d06 | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/algebra/ordered_ring.lean | 07f9ada056c5a737f9f3b18af0989d3b25db2bc0 | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,534 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
import algebra.ordered_group
import data.set.intervals.basic
set_option old_structure_cmd true
universe u
variable {α : Type u}
/-... |
125d20cce72d9871299e9d61cd8bfb7a3dc66220 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/apply_fun_auto.lean | a830f97ea8b94ef3b9570dd280ee5909891babc4 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,400 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.monotonicity.default
import Mathlib.PostPort
namespace Mathlib
namesp... |
1ba37b8e4747b711c9931d3cbdaf52db92db0da4 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/equiv/basic.lean | 60e671f2764c83957858d51249db2d2cb5ff03a4 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 27,015 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
a841a61b77e3111779189bc251523fa00bf71c10 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world05/level07.lean | 7c807d76ac7140c4d2e0aa21a01b339de712ec32 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 120 | lean | example (P Q F : Type) : (P → Q) → ((Q → F) → (P → F)) :=
begin
intro f,
intro h,
intro p,
exact h(f(p)),
end
|
116cb8fb88b1b9fab53b4f3f71ee8a50707b4813 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/tools/super/cdcl.lean | c734be10199e3d4f9f055bb1c0874932e97e3c4e | [
"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 | 862 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .clausifier .cdcl_solver
open tactic expr monad super
meta def cdcl_t (th_solver : tactic unit) : tactic unit := do
as_refutation, local_false ← target,... |
c13de461effa30d84266fc539e0eccb4c9f327bb | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/match4.lean | ea4a4f1a668cd328f55512e3966d16b24c1757c8 | [
"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 | 1,130 | lean | def f1 (x : Nat × Nat) : Nat :=
match x with
| { fst := x, snd := y } => x - y
#eval f1 (20, 15)
def g1 (h : Nat × Nat × Nat → Nat) : Nat :=
h (1, 2, 3)
def f2 (w : Nat) : Nat :=
g1 fun (x, y, z) => x + y + z + w
#eval f2 10
def g2 (h : Nat × Nat → Nat × Nat → Nat) : Nat :=
h (1, 2) (20, 40)
def f3 (a : Nat) : Na... |
2ebf483d45025763526a392c21fdb59f4433fc4e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/sheaves/sheaf_condition/pairwise_intersections.lean | 3e3af1f912d789c14286f961c11e4fd86c49d8c8 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 19,260 | 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 topology.sheaves.sheaf_condition.sites
import category_theory.limits.preserves.basic
import category_theory.category.pairwise
import category_theory.limits.co... |
50cf054a6c6bb1ab580bad8c23be8b74b32c05df | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/convex/specific_functions.lean | 88b53d511d333ea918bd2e3994bd396d64b7b84e | [
"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 | 6,609 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel
-/
import analysis.calculus.mean_value
import analysis.special_functions.pow
/-!
# Collection of convex functions
In this file we prove that the f... |
fb8da1437b621819e36b20aa6c647e49f3c0062b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/clique.lean | 996aeb3dd5c729308ecc268d24b21795949f0e54 | [
"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 | 9,237 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simple_graph.basic
import data.finset.pairwise
/-!
# Graph cliques
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any cha... |
4c0b34bf06b1fa5be77231912dc443b4c3c8746a | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/field_theory/splitting_field.lean | 845cf7b356cb8fb254679058f2951a48c366754d | [
"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 | 7,664 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Definition of splitting fields, and definition of homomorphism into any field that splits
-/
import ring_theory.unique_factorization_domain
import data.polynomial ring_the... |
5befc1ae619917f923bf5bbfa1a40cd7d62af8b2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/instances/real_vector_space.lean | 05e34574b12b732395251ebfeab77143bb546039 | [
"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 | 2,437 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.algebra.module.basic
import topology.instances.rat
/-!
# Continuous additive maps are `ℝ`-linear
In this file we prove that a continuous map `f : ... |
de08b27cdee095b8c1830eaffd6277758696fed6 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/order/complete_boolean_algebra.lean | edac1139eff9056dc7f2038e4e38d4169f0d032d | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 4,698 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete Boolean algebras.
-/
import order.complete_lattice
import order.boolean_algebra
set_option old_structure_cmd true
universes u v w
variables {α : Ty... |
696b1ec095d6824098a49e84e51d3eb0102f9f0a | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/category/nat_trans.hlean | 9a67bbeee7125090589738849c03912752001874 | [
"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 | 6,996 | 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, Jakob von Raumer
-/
import .functor .iso
open eq category functor is_trunc equiv sigma.ops sigma is_equiv function pi funext iso
structure nat_trans {C : Precategor... |
5848b42389561a3c30608d47e1626e14e0cebd35 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/finset/sort.lean | c3ec27b6254a1c34b26e390baa3cf240c9625e06 | [
"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 | 9,794 | 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.fintype.basic
import data.multiset.sort
import data.list.nodup_equiv_fin
/-!
# Construct a sorted list from a finset.
-/
namespace finset
open multiset... |
61da44a0548a9032b8e8496f95d1654811d4e649 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/big_operators/intervals.lean | 9f48df78995cb3553e6552660e6518662e365928 | [
"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 | 5,790 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.basic
import data.finset.intervals
/-!
# Results about big operators over intervals
We prove results about big operators over interva... |
5113642af49e8348e3a858e521fd7d451efaf1cf | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unfoldFailure.lean | a844f6dc6602c054bc36fb6fc5b97f79708be497 | [
"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 | 98 | lean | example : True := by
unfold Nat.add
example (h : x = 2 * y) : True := by
unfold Nat.add at h
|
d88001d39e127c68e4aea58cea010bc4b438a144 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/polynomial.lean | 949efba5a60efd9ac1adbc9d1418eee26a1e4e15 | [
"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 | 8,498 | 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.polynomial.algebra_map
import data.polynomial.inductions
import data.polynomial.splits
import ring_theory.polynomial.vieta
import analysis.normed.field.... |
244caaa83c3d8884d848408fa244a493c06ba202 | a156d865507798f08f46a2f6ca204d9727f4734d | /src/basic.lean | 2a4b90e85ad2210bda5f77fcbcee91c4d336944a | [] | no_license | jesse-michael-han/formalabstracts | 4e2fc8c107a3388823ffbd1671dd1e54108ea394 | 63a949de7989f17c791c40e580c3011516af57e0 | refs/heads/master | 1,625,470,495,408 | 1,551,315,841,000 | 1,551,316,547,000 | 136,272,424 | 0 | 0 | null | 1,528,259,798,000 | 1,528,259,798,000 | null | UTF-8 | Lean | false | false | 2,406 | lean | /- This file contains various definitions and lemmas which don't fit anywhere else, or when there
is not enough material to make its own file -/
import data.pfun data.set.finite data.nat.enat topology.basic
universes u v
variables {α : Type*} {β : Type*}
axiom omitted {P : Prop} : P
notation `ℕ∞` := enat
def is_... |
4aa3bc5da7939a0f88ff8ef8849e84bdd0f7ccac | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /library/init/nat.lean | 858ef868d072db2f55e33255ca5d635972d8f4a3 | [
"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 | 10,834 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.nat
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.wf init.tactic
open eq.ops decidable
namespace nat
notation `ℕ` := nat
inductive lt (a : nat)... |
a707f0f30f3b06680d3edd442a03643b10d098df | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/big_operators/order.lean | 0f5440a2e636d4e4dbf9686ae37a9e77c9e35572 | [
"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 | 21,992 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.order.absolute_value
import algebra.big_operators.basic
/-!
# Results about big operators with values in an ordered algebraic structure.
Mostly mono... |
6c78de6c771edde27b43bfb0a5355e59441fa9cb | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Elab/Tactic/Binders.lean | 295156ff121574742d4d2966814c49cdf104fccd | [
"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 | 1,178 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Tactic.Basic
namespace Lean
namespace Elab
namespace Tactic
private def liftTermBinderSyntax : Macro :=
fun stx => do
hole ← `(?_);
m... |
274fdab6b1c002a3d0d3e9091926d7b83b12222b | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/data/list/lemmas.lean | d577725f5b341d5e7788b8fd137045759b02bdbf | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,114 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
prelude
import init.data.list.basic init.function init.meta init.data.nat.lemmas
import init.meta.interactive i... |
9b579d3cb697cecd1f1ad614b0ceda9361a45183 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/category/Group/preadditive.lean | 31f96257026a01b840b40e4dd7ab7f4f93c3d6cd | [
"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 | 610 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.category.Group.basic
import category_theory.preadditive
/-!
# The category of additive commutative groups is preadditive.
-/
open category_theory
univ... |
5aa4b06ba0871553d2b207c261c3766eac4762af | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/field_theory/finite/trace.lean | 22e4f7898860b5cc343e986fa6c7da69d6f993b9 | [
"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 | 938 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import ring_theory.trace
import field_theory.finite.basic
import field_theory.finite.galois_field
/-!
# The trace map for finite fields
We state the fact that the tra... |
17f275ce952d6d803fcb1a1556a55f0ff3f8338c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/affine_space/affine_map.lean | bdd83284accdb6b421ba183049a8de47a588a3f9 | [] | 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 | 31,594 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.linear_algebra.affine_space.basic
import Mathlib.linear_algebra.tensor_product
import Mathlib.d... |
ea2a3a96d3afa2b8752bdbd652b3485bba2f1275 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/control/fold.lean | 82efc63c04709ad9ef3984b2369a72ebde0b2f4e | [
"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 | 14,760 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Sean Leather
-/
import algebra.free_monoid
import algebra.opposites
import control.traversable.instances
import control.traversable.lemmas
import category_theory.category
imp... |
83c499c99603bf5b5408f9eee84a678c35aafba9 | e16d4df4c2baa34ab203178cea2c27905a3b63d3 | /src/day1.lean | 14a10218b82e54af405d975232c044c12b9bd52e | [] | no_license | jembishop/advent-of-code-2020 | ea29eecb7f1d676dc1fd34b1a66efdbd23248aec | 32fd5bc28e7c178277e85dc034b55fce6dd4afce | refs/heads/main | 1,675,354,147,711 | 1,608,705,139,000 | 1,608,705,139,000 | 317,705,877 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 756 | lean | import system.io
import utils
open io
open list
def combinations : ℕ → list ℕ → list (list ℕ)
| 0 l := [[]]
| n [] := []
| n (x::xs) := map (λ l, x::l) (combinations (n-1) xs) ++ (combinations n xs)
def productl : list ℕ → ℕ := list.foldr (*) 1
def find_k_add :ℕ → ℕ → list ℕ → list (list ℕ)
| k n l :=... |
fe1e13849ad944076b1bc2923a146afbfa5c3baf | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/rbmap/basic.lean | 98cff4193381efbe1fbcba20d41bdb71ba3aff7a | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,931 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree.init
universes u v w
def rbmap_lt {α : Type u} {β : Type v} (lt : α → α → Prop) (a b : α × β) : Prop :=
lt a.1 b.1
set_option auto_par... |
1c19c88e0f490f37ab997ee6395ca5a4d957f790 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/group_theory/monoid_localization.lean | a7f7e890f0e6d1eee23d21feea3b8d3aa9fa0f3e | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 44,115 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import group_theory.congruence
import algebra.group.units
import algebra.punit_instances
/-!
# Localizations of commutative monoids
Localizing a commutative r... |
3e4ba99bcf46a76a23dfd8e90ca99e8bea38e8f4 | c777c32c8e484e195053731103c5e52af26a25d1 | /archive/100-theorems-list/30_ballot_problem.lean | a72c2e62f322ea300eb41b6f22440451a860f0b4 | [
"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 | 18,011 | lean | /-
Copyright (c) 2022 Bhavik Mehta, Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Kexing Ying
-/
import probability.cond_count
/-!
# Ballot problem
This file proves Theorem 30 from the [100 Theorems List](https://www.cs.ru.nl/~freek/100/).... |
dc04ea1405710c2f27453e9031b664f2ac78dd7d | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /monoidal_categories/braided_monoidal_category.lean | 8305516ce7bfe309bc7da3f5a70659ce39c01c21 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 2,461 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .monoidal_category
import ..products.switch
namespace tqft.categories.braided_monoidal_category
open tqft.categories
open tqft.categories.... |
5373fd6f6b7d6874ce108087515d3d80c4ae26a4 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/type_tags.lean | 99c30b8bd5e5fab7019640351c86ba75b8ffcd44 | [
"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 | 12,330 | 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
import data.equiv.basic
/-!
# Type tags that turn additive structures into multiplicative, and vice versa
We define two type tags:
* `addit... |
3317a0ae3632ea6d2a281fed2c066265cf65f330 | 59cb0b250f036506a327b29abf0b51ff1efbb0c9 | /src/qary_codes_example.lean | fb052b39b794d9723faed6363e253fefed8b625e | [] | no_license | GeorgeTillisch/coding_theory_lean | ea26861a3d5d8ca897ca50b056d9cae53104bc27 | 920e14b433080854d4248714c93a09ce4e391522 | refs/heads/main | 1,681,707,926,918 | 1,619,008,763,000 | 1,619,008,763,000 | 343,145,352 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,584 | lean | import tactic
namespace qary_hamming
-- Setup for defining vectors over a finite alphabet 𝒜
universe u
variables {𝒜 : Type u} [fintype 𝒜] [decidable_eq 𝒜] [field_𝒜: field 𝒜]
def distance : Π {n : ℕ}, vector 𝒜 n → vector 𝒜 n → ℕ
| 0 _ _ := 0
| (n + 1) x y :=
if x.head = y.head then
distance x.tail ... |
d01beae6174bd622aca0bda42a35cc3b2ae46157 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/category/Pointed.lean | c32de1ba3c65726c0464e457059789ceed80332e | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,134 | 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 category_theory.concrete_category.basic
/-!
# The category of pointed types
This defines `Pointed`, the category of pointed types.
## TODO
* Monoidal structure... |
00a588855e7d37f1b3bf7ee8e05a26320e0352bc | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world10/level03.lean | 16c5f55cd295752401b645ddbacd168defd10252 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 171 | lean | theorem le_succ (a b : mynat) : a ≤ b → a ≤ (succ b) :=
begin
intro h,
rw le_iff_exists_add at h,
cases h with c hc,
rw hc,
use c + 1,
rw succ_eq_add_one,
refl,
end
|
754ba3a2445f85b33644975c2b98dfd8cfaea700 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/option/instances.lean | ac47b22f94de0ba27351d5a56b2c15fade4b2d50 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,027 | 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.data.option.basic
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.control.lawful
... |
fc949c697e1391b37f4759d9a1dea6f2d14e5324 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/PrettyPrinter/Delaborator/TopDownAnalyze.lean | ea40ee274bb4dfa0240a92f5dbd56f178d764130 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,439 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean.Meta
import Lean.Util.FindMVar
import Lean.Util.FindLevelMVar
import Lean.Util.CollectLevelParams
import Lean.Util.ReplaceLevel
import Lean.PrettyPr... |
8df19be64edc2d654733b4d619dba533e8d180dc | d9ed0fce1c218297bcba93e046cb4e79c83c3af8 | /tests/lean/run/pack_unpack3.lean | 4beaced584dfafaff366c4f83c3159fbf7cadbd6 | [
"Apache-2.0"
] | permissive | leodemoura/lean_clone | 005c63aa892a6492f2d4741ee3c2cb07a6be9d7f | cc077554b584d39bab55c360bc12a6fe7957afe6 | refs/heads/master | 1,610,506,475,484 | 1,482,348,354,000 | 1,482,348,543,000 | 77,091,586 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 961 | lean | inductive vec (A : Type*) : nat -> Type*
| vnil : vec 0
| vcons : Pi (n : nat), A -> vec n -> vec (n+1)
inductive tree (A : Type*)
| leaf : A -> tree
| node : Pi (n : nat), vec (list (list tree)) n -> tree
-- set_option trace.eqn_compiler true
constant P {A : Type*} : tree A → Type
constant mk1 {A : Type*} (a : A) :... |
61a4812e464777b5cf3371aebe4a7e976b127017 | 680b0d1592ce164979dab866b232f6fa743f2cc8 | /library/algebra/ring.lean | 03b26299d14f96fb40d0b96beeb2b2d38da44146 | [
"Apache-2.0"
] | permissive | syohex/lean | 657428ab520f8277fc18cf04bea2ad200dbae782 | 081ad1212b686780f3ff8a6d0e5f8a1d29a7d8bc | refs/heads/master | 1,611,274,838,635 | 1,452,668,188,000 | 1,452,668,188,000 | 49,562,028 | 0 | 0 | null | 1,452,675,604,000 | 1,452,675,602,000 | null | UTF-8 | Lean | false | false | 16,970 | 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
Structures with multiplicative and additive components, including semirings, rings, and fields.
The development is modeled after Isabelle's library.
-/... |
d033983a89703844613ec1fa94acd6d66faa64fd | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/prod.lean | ce4ac0943001cc258535e24d790491ef2ed5f9a4 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 1,662 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
import logic.eq
open inhabited decidable eq.ops
namespace prod
variables {A B : Type} {a₁ a₂ : A} {b₁ b₂ : B} {u : A × B}
theorem pair_e... |
3d265cfb9763083dbbe1e21c20d5b837bebde53e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/big_operators/associated.lean | 8412711ed5ac5053946979738cd0333c999e6d70 | [
"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 | 6,665 | 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, Anne Baanen
-/
import algebra.associated
import algebra.big_operators.finsupp
/-!
# Products of associated, prime, and irreducible elements.
This fil... |
a2fe1113b7e613c343e1969d6173aea5c26c4602 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/ref.lean | 84a1d7378fdb076e72a089bc43b37f5313566a83 | [] | 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 | 435 | 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
namespace tactic
/-- A `ref` performs the role of a mutable variable... |
f22a560641c2fae842fe406dc8a8ee1aff6f500c | e07b1aca72e83a272dd59d24c6e0fa246034d774 | /src/surreal/tmp2.lean | 176e81bc78a24ccc9a31a7155a1965ce3d9fa7a9 | [] | no_license | 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 | 26,538 | lean | #check (λ (A : Type) (x : A), x : Π {A : Type}, A → A)
#check (λ {A : Type} (x : A), x : Π (A : Type), A → A)
#check expr
#exit
axiom A : Type
axiom B : Type 1
axioms x y : A
#check A → B
#check B → A
#check (B → (A : Type))
#check (B → A : Type 1)
#check (λ x, x : A → A)
#check (λ x, x : A → A)
#check λ x y x
#exit... |
6288f8932e3130b641164c3282332c5c131fad7f | 947b78d97130d56365ae2ec264df196ce769371a | /tests/playground/forIn2.lean | 3850e047faafa73cdf10d86d591e93c437d8206b | [
"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 | 1,104 | lean | new_frontend
def tst1 : IO Nat :=
[1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14].forIn 0 fun a b =>
if a % 2 == 0 then do
IO.println (">> " ++ toString a ++ " " ++ toString b)
(if b > 20 then pure $ ForInStep.done b
else pure $ ForInStep.yield (a+b))
else
pure $ ForInStep.yield b
#eval tst1
structure ... |
70128950c9b964664bb1e328b050c5439b0c2691 | 4727251e0cd73359b15b664c3170e5d754078599 | /test/cycle.lean | 90b5222aa9fb72f0bbdea6e15ab20f9d1fd6a2bc | [
"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 | 241 | lean | import data.list.cycle
run_cmd guard ("c[1, 4, 3, 2]" = repr (↑[1, 4, 3, 2] : cycle ℕ))
run_cmd guard ("c[1, 4, 3, 2]" = repr (↑[2, 1, 4, 3] : cycle ℕ))
run_cmd guard ("c[-1, 2, 1, 4]" = repr (↑[(2 : ℤ), 1, 4, -1] : cycle ℤ))
|
3d2715573aa7df7150d7a71570c203ca1eb0273d | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/data/nat/lemmas.lean | c7fdda64286b4b3ed54adde09e4edbe39a9ea7ed | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 47,671 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
-/
prelude
import init.data.nat.basic init.data.nat.div init.meta init.algebra.functions
universes u
namespace nat
attribute [pre_smt] nat_zero... |
222989211d644f4bc015e73cc911f2a615ec7bff | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/measure_theory/measurable_space.lean | 64bad1211e59dc52c7fb1b6e86acfd78a40e84d4 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,379 | 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
Measurable spaces -- σ-algberas
-/
import data.set.disjointed order.galois_connection data.set.countable
/-!
# Measurable spaces and measurable functio... |
7b34225f1c6bece0916950d4e2fca76516662751 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/unique_instances.lean | afaf0dbbb92b2fa41c247fbbddd3b3e1641f64c9 | [
"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 | 318 | lean | import logic data.prod
open prod
set_option elaborator.unique_class_instances true
theorem tst (A : Type) (H₁ : inhabited A) (H₂ : inhabited A) : inhabited (A × A) :=
_
set_option elaborator.unique_class_instances false
theorem tst (A : Type) (H₁ : inhabited A) (H₂ : inhabited A) : inhabited (A × A) :=
_
|
78393214f40988e7b088aef5a2ec2304a2623bca | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/two_pointing.lean | 3ec9c59b4b4dcd26a5aa49c94e646dadf96ddaf2 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,388 | 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 data.sum.basic
import logic.nontrivial
/-!
# Two-pointings
This file defines `two_pointing α`, the type of two pointings of `α`. A two-pointing is the data of
tw... |
e7456329b622f0fa092178be4e585419dce0bfc8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/finiteness.lean | d8137d2b758b33c688dd7423a0e5cfffe2c13d4e | [
"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 | 37,650 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import group_theory.finiteness
import ring_theory.algebra_tower
import ring_theory.ideal.quotient
import ring_theory.noetherian
/-!
# Finiteness conditions in commu... |
cad94f92c6ebb6c52116b7ce2ca9a615d804bd33 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/have3.lean | 5e0b6a95da8c53cc8ddc5314ceff328fd7ea9609 | [
"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 | 237 | lean | definition Prop : Type.{1} := Type.{0}
constants a b c : Prop
axiom Ha : a
axiom Hb : b
axiom Hc : c
check have H1 : a, from Ha,
then have H2 : a, from H1,
then have H3 : a, from H2,
then have H4 : a, from H3,
H4
|
0a5ec16b127d7c52a3b3939bf84014c5bdea7fef | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/monoidal/discrete.lean | 7b5463aacc5bc0e46d17133f37dfe2216f1bd879 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 2,182 | 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 category_theory.monoidal.natural_transformation
import category_theory.discrete_category
import algebra.group.hom
/-!
# Monoids as discrete monoidal categorie... |
ed57d63058c96491c853acb75e1a49928ec5d2e4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean | 17868a869d2d59b526c4e6ce0a5591ead1fae326 | [
"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 | 5,400 | 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.ScopedEnvExtension
import Lean.Util.Recognizers
import Lean.Util.CollectMVars
import Lean.Meta.Basic
namespace Lean.Meta
/--
Data for user-d... |
58a23f0f0375e49a3cf960558ffc644930af93c8 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/level_instantiate.lean | 25360c54bc862ec4a7d1c9c9a399211b2ee896c1 | [
"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 | 452 | lean | #check level.instantiate
#eval level.to_string $ level.instantiate (level.param `x) [(`x, level.param `y)]
#eval level.to_string $ level.instantiate (level.param `x) [(`x, level.param `y), (`y, level.param `z)]
#eval level.to_string $ level.instantiate (level.param `x) [(`x, level.param `y), (`x, level.param `z)]
#... |
2859ab2fd59ac0c6db2995e1ef6e57ee70f195c4 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/data/pair.lean | 4df1ca07f751e4977bd99df481cc8e3250a321e3 | [
"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 | 1,588 | lean | ------------------------------------------------------------------------------------------------------ Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
------------------------------------------------------... |
9607154ee52a16ef7e1277f5754d04ab718d20a7 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/data/quot.lean | 086c6b6972858219a4880a480f60f9451b75ccce | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 10,362 | 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
Quotient types.
-/
prelude
/- We import propext here, otherwise we would need a quot.lift for propositions. -/
import init.data.sigma.basic init.logic init.pro... |
20d3f78e09acc4cb206feeb5f8ebb826740281cf | 1d265c7dd8cb3d0e1d645a19fd6157a2084c3921 | /src/lessons/lesson11.lean | d08e6719de916263e7f72a6f5fd9d6af0245280e | [
"MIT"
] | permissive | hanzhi713/lean-proofs | de432372f220d302be09b5ca4227f8986567e4fd | 4d8356a878645b9ba7cb036f87737f3f1e68ede5 | refs/heads/master | 1,585,580,245,658 | 1,553,646,623,000 | 1,553,646,623,000 | 151,342,188 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,227 | lean | def isEven : ℕ → Prop := λ n, ∃ m : ℕ, m * 2 = n
lemma eightIsEven : isEven 8 :=
begin
unfold isEven,
exact ⟨4, dec_trivial⟩,
end
-- def isNonZ : ℕ → Prop := λ n, n ≠ 0
def isnonz : Prop := ∃ n : ℕ, n ≠ 0
lemma isNonZ : isnonz := ⟨1, dec_trivial⟩
lemma isNonZ' : isnonz :=
begin
apply exists.intro 1,
... |
ace4c5697ce0214547bf1dc9953f335b2f421e36 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/rat/denumerable.lean | b5fa8b12c17b8a6715086231d3d365cd4c33fbd4 | [
"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 | 1,225 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import set_theory.cardinal.basic
/-!
# Denumerability of ℚ
This file proves that ℚ is infinite, denumerable, and deduces that it has cardinality `omega`.
-/
namespace ... |
1b7215a3426a3f52d016fd7288a738528aad9bc1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/free_module/strong_rank_condition.lean | be1fc8420365359a16bfc0a0aa734d7ccff40b96 | [
"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 | 2,711 | 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.charpoly.basic
import linear_algebra.invariant_basis_number
/-!
# Strong rank condition for commutative rings
We prove that any nontrivial... |
502a6ce366c39ef7c0d544e1cffbd0170520550f | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Std/Data/RBTree.lean | fcaae70e79d0c88802b2b62c939b1e751e10a6a5 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,961 | 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 Std.Data.RBMap
namespace Std
universes u v w
def RBTree (α : Type u) (lt : α → α → Bool) : Type u :=
RBMap α Unit lt
@[inline] def mkRBTree (α : ... |
d38d62967b4b9bfac67a121f10c984af7d747b0d | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/modular_lattice.lean | 589063b2a1da493ea803917332f0b2b5b5386183 | [
"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 | 6,604 | 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.rel_iso
import order.lattice_intervals
import order.order_dual
/-!
# Modular Lattices
This file defines Modular Lattices, a kind of lattice useful in al... |
493f0d8ad59f5e6393b8c339b59c0d0db9519ce4 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/ring_hom_properties.lean | 37d9ac0cf1e34bd3c578399e722ca65d223834f6 | [
"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 | 5,079 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebra.category.Ring.constructions
import category_theory.isomorphism
import ring_theory.localization.away
/-!
# Properties of ring homomorphisms
We provide the b... |
9430c8b6002287add94e3d53c8eac68049204f3d | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/category_theory/arrow.lean | 111fd0c6f96b3774d773ca52b53713b2af576af4 | [
"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 | 7,802 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.comma
/-!
# The category of arrows
The category of arrows, with morphisms commutative squares.
We set this up as a specialization of the comma ... |
b6433d35f1304a6e1a644cf341ead03e30807d56 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /analysis/emetric_space.lean | 7761a6de2678b6ff665b4bfe432a8d3d541bc044 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 14,254 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Extended metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
This file is devoted to the definition and study of `emetric_spaces`, i... |
a47799037ab39efe5f29591c9cf62cc36c5d68e2 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /05_Interacting_with_Lean.org.12.lean | f96752841c590129adb92979817d9f061325af98 | [] | 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 | 206 | lean | /- page 71 -/
import standard
import data.nat
open nat
notation `[` a `**` b `]` := a * b + 1
definition mul_square (a b : ℕ) := a * a * b * b
infix `<*>`:50 := mul_square
eval [2 ** 3]
eval 2 <*> 3
|
f77595905abe91c8a5c968865d07cc84ee727853 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/lie/base_change.lean | bf0b6beaa9c746b6f0bee8eaea17fa17c907c740 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,960 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.algebra.restrict_scalars
import algebra.lie.tensor_product
/-!
# Extension and restriction of scalars for Lie algebras
> THIS FILE IS SYNCHRONIZED WITH MAT... |
21144a0e16b294ad8a224e2d2906f047713dd02e | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/algebra/char_p.lean | 5d81e70d91cc130a58b6fa29ec1b524f68dc340a | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 12,472 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
-/
import data.fintype.basic
import data.nat.choose
import data.int.modeq
import algebra.module.basic
import algebra.iterate_hom
/-!
# Characteristi... |
f14f42a336e49c0d37a49215f312ac170b034795 | 58840d1f4c8fba0ed6eb3a08b3c7491e28e2a4a2 | /SGDT/domain.lean | 52493ae1d816adcbaedece59339c05c3b8137d69 | [] | no_license | jonsterling/lean4-sgdt | 7ba9f2ff2a21981f1d6517b86be1bee76e8d426e | 5858bfe96f2c5de8343c0f7befddd946ef6ce3e6 | refs/heads/master | 1,685,409,923,012 | 1,623,505,684,000 | 1,623,505,684,000 | 371,836,555 | 10 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,409 | lean | import sgdt.later
universe u
class domain (A : Type u) where
step : ▷ A → A
noncomputable def domain.fix [domain a] (f : a -> a) : a :=
fix x => f $ domain.step x
def is_strict [domain a] [domain b] (f : a -> b) :=
∀ x : ▷ a, f (domain.step x) = domain.step (f <$> x)
def strict_hom (a b : Type u) [domain a] [domai... |
a80b09b8c7a959923d6bbc3af5ce99228b3e103c | 200b12985a863d01fbbde6abfc9326bb82424a8b | /src/FOL/ExF001.lean | 5929f91522d8701058e48d0b753ebc05d0c15e0c | [] | no_license | SvenWille/LeanLogicExercises | 38eacd36733ac48e5a7aacf863c681c9a9a48271 | 2dbc920feadd63bbc50f87e69646c0081db26eba | refs/heads/master | 1,629,676,667,365 | 1,512,161,459,000 | 1,512,161,459,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 216 | lean |
theorem ExF001{X : Type}(P Q : X → Prop)(a : X): P a → Q a → ∃x, P x ∧ Q x :=
assume H1:P a,
assume H2:Q a,
have A:P a ∧ Q a, from and.intro H1 H2,
show ∃x, P x ∧ Q x, from exists.intro a A
|
35ca690346ac3dd2b58179c5bf355c9e913accc6 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/linear/default.lean | 8cbffda48e87686f474c590a22a49ee80fe359a7 | [
"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 | 4,446 | 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.preadditive
import algebra.module.linear_map
import algebra.invertible
import linear_algebra.basic
import algebra.algebra.basic
/-!
# Linear c... |
f077f023c82a124ad97f18927036be84c5baf4ed | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/probability_mass_function.lean | d4df971c2c3392079d21523352322ce8547d0157 | [] | 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 | 5,497 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.instances.ennreal
import Mathlib.PostPort
universes u u_1 u_2 u_3
namespace Math... |
2604399c3c78b71e7947cb4d49e1a38ffb15c87d | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/data/list/chain.lean | 91c35669a97d59312f45af341c61271eeee03d93 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 8,683 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Yury Kudryashov
-/
import data.list.pairwise
import logic.relation
universes u v
open nat
variables {α : Type u} {β : Type v}
namespace list
/- chain re... |
0657be6beb4732dd6af3fdd5d4d6063854276b22 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/combinatorics/partition_auto.lean | 54d0faf3f1874050b21b0c396afcb0342077f22d | [] | 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 | 4,114 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.combinatorics.composition
import Mathlib.data.nat.parity
import Mathlib.tactic.apply_fun
import... |
e4263dfd4df79b3b7995372ae21c0f0473e9d722 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/special_functions/pow.lean | 01428119be6735f45f42d075ad3dfc2b1163fa66 | [
"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 | 50,739 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel
-/
import analysis.special_functions.trigonometric
import analysis.calculus.extend_deriv
/-!
# Power func... |
d591e4d3130748dc51292df33dcf574da905a7c4 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/set_theory/cardinal_ordinal.lean | 07c1b1a940562e046c354991387a7792c6822a9d | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38,904 | 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, Floris van Doorn
-/
import set_theory.ordinal_arithmetic
import tactic.linarith
import logic.small
/-!
# Cardinals and ordinals
Relationships between... |
a149367e6b1d63a232e279d54444dc8a60161ada | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/alg_rw.lean | d911b3e61d621a8ecd1221c0c2a9390c608e930b | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 384 | lean | import algebra.group
open algebra
section
variable {A : Type}
variable [s : comm_monoid A]
include s
theorem one_mul_one : 1 * 1 = 1 :=
mul_one 1
end
definition one [reducible] (A : Type) [s : has_one A] : A :=
!has_one.one
section
variable {A : Type}
variable [s : comm_group A]
include s
theorem... |
51f6244243f2177b291514bda3447d71d2890b33 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/topology/basic.lean | fcdc49ddddeb2be41ab0fe9804c5c6da56f2799c | [
"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 | 63,904 | 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, Jeremy Avigad
-/
import order.filter.ultrafilter
import order.filter.partial
import algebra.support
/-!
# Basic theory of topological spaces.
The main... |
d7396e87fea6ab32a0556847d15fc2ba1b7f9ba2 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/real/basic.lean | 270d86df31c0feaf751317d1bb08bb2163d684eb | [
"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 | 26,584 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
The (classical) real numbers ℝ. This is a direct construction
from Cauchy sequences.
-/
import order.conditionally_complete_lattice
import data.real.c... |
4300e3ed9afaa9dabbc2193f06026d60ef8b5f59 | 2c41ae31b2b771ad5646ad880201393f5269a7f0 | /Lean/Examples/Parnas/Information_Hiding_Changeable.lean | 6511d4f17f948f0b8039dd863c09c6494346ce8c | [] | no_license | kevinsullivan/Boehm | 926f25bc6f1a8b6bd47d333d936fdfc278228312 | 55208395bff20d48a598b7fa33a4d55a2447a9cf | refs/heads/master | 1,586,127,134,302 | 1,488,252,326,000 | 1,488,252,326,000 | 32,836,930 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,440 | lean | import Qualities.Satisfactory
import SystemModel.Value
import Examples.Parnas.Information_Hiding
/-
[corpusChangeActionSpec] expresses a Ross-style changeability requirement
pertaining to system instances. We interpret this one as saying that
a system instance is changeable if 1) it is modular with respect to the
par... |
09ff43895b13ba875eb9f1cbd90d522740be0c1a | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/lean/run/deriv.lean | a504a137f7f3734922443233cb58d1b5252f6f6b | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 2,695 | lean | /- Benchmark for new code generator -/
import init.io
inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
| Pow : Expr → Expr → Expr
| Ln : Expr → Expr
open Expr
unsafe def pown : Int → Int → Int
| a 0 := 1
| a 1 := a
| a n :=
let b := pown a (n / 2) in
... |
43a89f9f98ae6ba731be3c0ef2d781cadb2b014a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/hall/basic.lean | deabb273946323aa13eecaff6d77b6b2e378f5c7 | [
"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 | 10,163 | lean | /-
Copyright (c) 2021 Alena Gusakov, Bhavik Mehta, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alena Gusakov, Bhavik Mehta, Kyle Miller
-/
import combinatorics.hall.finite
import topology.category.Top.limits
/-!
# Hall's Marriage Theorem
Given a list ... |
41173ac5b0a424e2b62cf08d1f7699e32e0589c2 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/compactly_generated.lean | 1457248d240ad95d5116a16b4cf0f120dfb67820 | [
"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 | 9,999 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import order.well_founded
import order.order_iso_nat
import data.set.finite
import tactic.tfae
/-!
# Compactness properties for complete lattices
For complete lattices, t... |
786954c37279367296213f654ec17204c86fb93a | 947b78d97130d56365ae2ec264df196ce769371a | /tests/bench/binarytrees.lean | ebfa5de7e3d1f60d0a312cda97ec0656409a693b | [
"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 | 1,699 | lean | inductive Tree
| Nil
| Node (l r : Tree) : Tree
open Tree
instance : Inhabited Tree := ⟨Nil⟩
-- This Function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' : UInt32 -> UInt32 -> Tree
| n, d =>
if d = 0 then Node Nil Nil
else Node (make' n (d - 1)) (make' ... |
329cd5e3b3f6cc33bc1020db601ef796bd6e100b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Compiler/CompilerM.lean | e47302e9e6a77da9e41b0b952972ea73cde5ead4 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 8,350 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.ForEachExpr
import Lean.Meta.Transform
import Lean.Compiler.InferType
namespace Lean.Compiler
/--
The state managed by the `CompilerM` `M... |
0bf8b42ae03872d1c519bb15c5e5344eb619f7b9 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/lebesgue.lean | 71aca319c9d00d201dd2ddc8e83131d995aacfbd | [
"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 | 29,088 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Sébastien Gouëzel, Yury Kudryashov
-/
import dynamics.ergodic.measure_preserving
import linear_algebra.determinant
import linear_algebra.matrix.diagonal
import linear_a... |
7f4bc077670c68cbe7c7613eb7094da44cd31e77 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/number_theory/divisors.lean | 9344cfca703b30595adc0d2ec90dd9d861605863 | [
"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 | 12,844 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.order
import data.finset.intervals
import data.nat.prime
/-!
# Divisor finsets
This file defines sets of divisors of a natural number. ... |
39b9903a804b45f5fd3b4c90298542235feb09ad | 7b66d83f3b69dae0a3dfb684d7ebe5e9e3f3c913 | /src/exercises_sources/tuesday/afternoon.lean | b11bb9b7d7d21f6e54c39486b68f54b299282d24 | [] | permissive | dpochekutov/lftcm2020 | 58a09e10f0e638075b97884d3c2612eb90296adb | cdfbf1ac089f21058e523db73f2476c9c98ed16a | refs/heads/master | 1,669,226,265,076 | 1,594,629,725,000 | 1,594,629,725,000 | 279,213,346 | 1 | 0 | MIT | 1,594,622,757,000 | 1,594,615,843,000 | null | UTF-8 | Lean | false | false | 3,202 | lean | import tactic
import data.real.basic
import data.padics
import data.int.gcd
/-!
## Exercises about numbers and casts
-/
/-!
## First exercises
These first examples are just to get you comfortable with
`norm_num`, `norm_cast`, and friends.
-/
example : 12345 < 67890 :=
begin
end
example {α : Type} [linear_ord... |
85f2b065d72b41683c4d0fb2401e7c0e6998d0de | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/precompile/bar/Bar.lean | 489ea55e541110416c30ac993171e0d6495bac40 | [
"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 | 54 | lean | import Foo.Hello
#eval IO.println s!"Hello, {hello}"
|
4821c74f497e87b28c8bd90862073df91013f751 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Mon/adjunctions.lean | a5444e80fbeeee464262727123477f27bae07f6c | [
"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 | 2,262 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.category.Mon.basic
import algebra.category.Semigroup.basic
import algebra.group.with_one
import algebra.free_monoid
/-!
# Adjunctions regardin... |
829e6317119ada30c7e7237c44a4f6fd3a0249de | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/continued_fractions/computation/terminates_iff_rat.lean | 629a929e263834bfbfa84d5ab1e176d002f32410 | [
"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 | 14,271 | 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 algebra.continued_fractions.computation.approximations
import algebra.continued_fractions.computation.correctness_terminating
import algebra.order.archimed... |
119308bde8f0ec80d4c3710d1753c4d5452f5d5e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/functorial_auto.lean | 2fc44a1f47f2f356220852aaa5bc5df29bcd037c | [] | 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 | 3,363 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.functor
import Mathlib.PostPort
universes v₁ v₂ u₁ u₂ l u₃ v₃
namespace ... |
7b4aca7b14237008cdb11eed1982909e8b282f85 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/finset/bigop.lean | ac8f2a8ebec5c385071be68e90d8a13a4c989fe0 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,263 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.finset
Author: Leonardo de Moura
Big operator for finite sets
-/
import algebra.group data.finset.basic data.list.bigop
open algebra finset function binary quot subtype
n... |
812c69387846d5c531a0105e8f1d5539a5a53248 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Data/Name.lean | 6f3bf554cd5ae4d50782915d82e50714fca42aa9 | [
"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 | 6,295 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.LeanExt
import Init.Coe
import Init.Data.UInt
import Init.Data.ToString
import Init.Data.Hashable
import Init.Data.RBMap
import Init.Data... |
dc0462147735b109fcf6556f0003b1a2b6aa0da1 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/uint.lean | 7780591a4893c1d8be3999224be1bed6b25322e8 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 13,569 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.fin.basic init.platform
open Nat
def uint8Sz : Nat := 256
structure UInt8 :=
(val : Fin uint8Sz)
@[extern cpp "lean::uint8_of_na... |
a7f1cbe98d32ff7bd51b986d0e5e7a417d2f25f1 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /test.lean | c6cd1ec043b521f861e5f892480e5bab473f5c1d | [] | 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 | 127 | lean | variables A B : Prop
variable h : A /\ not B
#check and.left h
#check and.right h
#check and.intro (and.left h) (and.right h)
|
114d6c860ff9a5de13ea0be9e31d93687d4d69e1 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/order/lattice.lean | 397530feef0724f8261a41c1033c8ae5a8fc603d | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 18,849 | 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.basic
set_option old_structure_cmd true
universes u v w
variables {α... |
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