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249ddb8397b0eb9171c7d0a0db519caba7bbcc66 | 7bf54883c04ff2856c37f76a79599ceb380c1996 | /non-mathlib/cubic_alternate.lean | bc0ecdbf860c043e11281eef9f443fa22ad67910 | [] | no_license | anonymousLeanDocsHosting/lean-polynomials | 4094466bf19acc0d1a47b4cabb60d8c21ddb2b00 | 361ef4cb7b68ef47d43b85cfa2d13f2ea0a47613 | refs/heads/main | 1,691,112,899,935 | 1,631,819,522,000 | 1,631,819,522,000 | 405,448,439 | 0 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 28,212 | lean | import field_definition
import field_results
import numbers
import roots
import quadratic
lemma multiply_out_cubed (f : Type) [myfld f] (x a : f) :
(cubed f (x .+ a)) = ((cubed f x) .+ (((three f) .* ((square f x) .* a)) .+ (((three f) .* ((x .* a) .* a)) .+ (cubed f a)))) :=
begin
unfold cubed, unfold three,... |
201acd46ca3cc385d978c848ed088641d8cb80f3 | 6b02ce66658141f3e0aa3dfa88cd30bbbb24d17b | /src/Init/Data/Array/Basic.lean | a24ee3b74d20935828e4cefef3f3a337ab81ef06 | [
"Apache-2.0"
] | permissive | pbrinkmeier/lean4 | d31991fd64095e64490cb7157bcc6803f9c48af4 | 32fd82efc2eaf1232299e930ec16624b370eac39 | refs/heads/master | 1,681,364,001,662 | 1,618,425,427,000 | 1,618,425,427,000 | 358,314,562 | 0 | 0 | Apache-2.0 | 1,618,504,558,000 | 1,618,501,999,000 | null | UTF-8 | Lean | false | false | 27,800 | 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.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.Util
u... |
445fcf68971a1af04f8c42891001ea0ee2c588fa | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc15.lean | c0364212bc9329b531165c1efc2f799330bec282 | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 1,100 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
e16ff86a74c642220a807e8213d3d10706b3deae | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/algebra/polynomial.lean | cc3aaef487808ba39662c7258261603dc3f1196f | [
"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 | 8,495 | 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 analysis.normed_space.basic
import data.polynomial.algebra_map
import data.polynomial.inductions
import ring_theory.polynomial.vieta
import field_theory.spli... |
b62b7b8f5981633799bf4882e019dfb06ad83f33 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/tactic.lean | 2a6fcd669a0782d33b4a2526225e25a9dd77d1d4 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 24,461 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.trace init.function init.option init.monad init.alternative init.nat_div
import init.meta.exceptional init.meta.format init.meta.environ... |
72b5a8defda61ebaf983c709ca77ccfd96a74846 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/measure_theory/group/arithmetic.lean | 4445b7fd061a3a4d077657096ec7a92c35cffb9c | [
"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 | 33,098 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import measure_theory.measure.ae_measurable
/-!
# Typeclasses for measurability of operations
In this file we define classes `has_measurable_mul` etc and prove do... |
2db0b67955ff67757c5ea171347a78ec3afd3fd9 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/coeIssue3.lean | fea701918968306be790153836e6d5e2ffdc411e | [
"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 | 512 | lean | structure Var : Type := (name : String)
instance Var.nameCoe : Coe String Var := ⟨Var.mk⟩
structure A : Type := (u : Unit)
structure B : Type := (u : Unit)
def a : A := A.mk ()
def b : B := B.mk ()
def Foo.chalk : A → List Var → Unit := λ _ _ => ()
def Bar.chalk : B → Unit := λ _ => ()
instance listCoe {α β} [Coe α... |
ff4e5bea52ddbdf932d25ec65e24d89f358c0f3d | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /archive/imo/imo1962_q4.lean | c6f927203d76e6f1615656e7a34b95cb68bc3dec | [
"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 | 4,161 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Heather Macbeth
-/
import analysis.special_functions.trigonometric.complex
/-!
# IMO 1962 Q4
Solve the equation `cos x ^ 2 + cos (2 * x) ^ 2 + cos (3 * x) ^ 2 = 1`.
Sin... |
d3dacfbfa88be9991a086d1fed57591a8aff789a | 5ca7b1b12d14c4742e29366312ba2c2ef8201b21 | /src/game/world10/level17.lean | 19980aafe1f26acd3ac92411b86e7674bd53f55d | [
"Apache-2.0"
] | permissive | MatthiasHu/natural_number_game | 2e464482ef3001863430b0336133b6697b275ba3 | 2d764f72669ae30861f6a1057fce0257f3e466c4 | refs/heads/master | 1,609,719,110,419 | 1,576,345,737,000 | 1,576,345,737,000 | 240,296,314 | 0 | 0 | Apache-2.0 | 1,581,608,357,000 | 1,581,608,356,000 | null | UTF-8 | Lean | false | false | 746 | lean | --import mynat.lt -- definition of <
import game.world10.level16 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 17: definition of `<`
OK so we are going to *define* `a < b` by `a ≤ b ∧ ¬ (b ≤ a)`,
and given `lt_aux_one a b` and `lt_aux_two a b` it should now just
be a few lines to prove `a < b ↔ s... |
01abec88e2453330e50036d5c5e719b4379ecf5a | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/bounded_linear_maps.lean | f105ef1de57dbfe89e24567f9dc38360bc81c0cf | [
"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 | 25,629 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import analysis.normed_space.multilinear
import analysis.normed_space.units
import analysis.asymptotics.asymptotics
/-!
# Bounded linear maps
This f... |
daa9022fc984d7b8cef400ecd8d1326cee0832f6 | 7a468d7c7c0949ab8b191bb62ff6d4d2af9f3917 | /test/test_tactics.lean | b365e4d06150f4319607007a14e6a29b03dae156 | [
"Apache-2.0"
] | permissive | seanpm2001/LeanProver_SMT2_Interface | c15b2fba021c406d965655b182eef54a14121b82 | 7ff0ce248b68ea4db2a2d4966a97b5786da05ed7 | refs/heads/master | 1,688,599,220,366 | 1,547,825,187,000 | 1,547,825,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 190 | lean | import init.meta.tactic
universe u
axiom should_of_failed (A : Sort u) : A
meta def must_fail (tac : tactic unit) :=
do tactic.fail_if_success tac,
tactic.refine ``(should_of_failed _)
|
b8a863b69bb875b2d9aaa29e23f3bdd99668979d | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/arith4.lean | 93d3c315a128dfa19c8868a20be49a8f34db1dd7 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 107 | lean | import specialfn.
variable x : Real
eval sin(x)
eval cos(x)
eval tan(x)
eval cot(x)
eval sec(x)
eval csc(x) |
e901d60a99eb45e49a2accd2cb1d23c81d9345b5 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/fp/basic.lean | be26faf149003c4fbaa77a02e7164362479d62f1 | [
"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 | 6,346 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Implementation of floating-point numbers (experimental).
-/
import data.rat data.semiquot
def int.shift2 (a b : ℕ) : ℤ → ℕ × ℕ
| (int.of_nat e) := (a.shiftl e, b)
| -... |
8bee8ccdc9a6c919f7a11574d946bea084abda3e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/module/linear_pmap.lean | 26777fabe0e9f2a47939ecc7a13b6c3ab49a4d6d | [
"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 | 6,494 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import linear_algebra.linear_pmap
import topology.algebra.module.basic
/-!
# Partially defined linear operators over topological vector spaces
We define basic notions of... |
813efbfaf3dadcd0d9e81ee8deb05f0fa83838f1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/option/defs.lean | 535df54ee80b6e18ca200bb148a2b00bc4cc3162 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,038 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
/-!
# Extra definitions on `option`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This file defines... |
a5e9d995882ef26be843bc64fcb00ac11fae2ee1 | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/deps/typed_smt2/src/galois/smt2/test.lean | 7ed7bccd1b1d97cce4d69e3f8e9d3d62bf7037a1 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 2,620 | lean | import system.io
import .file_writer
import .semantics
import .theories.bv
open smt2
/- Generte a proble mtaht asserts a constant x is equal to 3. -/
def generate_problem {m} [is_generator m ] : m unit := do
let x := symbol.of_string "x",
declare_const x (BitVec 32),
assert (all_equal [var x (BitVec 32), bv.dec... |
1fc87c843443cb605b77a7962dde10c64d31b857 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/category/constructions/cone.hlean | 5cb0c872feb7c965cc4511f1c02902e6b7137d8b | [
"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 | 6,557 | 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
Cones
-/
import ..nat_trans ..category
open functor nat_trans eq equiv is_trunc is_equiv iso sigma sigma.ops pi
namespace category
structure cone_obj {I C : P... |
37c1ed92e87004295cfa7341cfe98e36f8c58115 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/complete_boolean_algebra.lean | ee0945a23edc803c4f975eda9479f3654a3027b7 | [
"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 | 5,862 | 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
set_option old_structure_cmd true
universes u v w
variables {α : Type u} {β : Type v} {ι : Sort ... |
667acf87542512ef1892cc8e9da39002e3dbc7a6 | 08a8ee10652ba4f8592710ceb654b37e951d9082 | /src/hott/types/sigma.lean | d6c3c6b01bc270d6dc21577fc93fac3df2df61a6 | [
"Apache-2.0"
] | permissive | felixwellen/hott3 | e9f299c84d30a782a741c40d38741ec024d391fb | 8ac87a2699ab94c23ea7984b4a5fbd5a7052575c | refs/heads/master | 1,619,972,899,098 | 1,509,047,351,000 | 1,518,040,986,000 | 120,676,559 | 0 | 0 | null | 1,518,040,503,000 | 1,518,040,503,000 | null | UTF-8 | Lean | false | false | 24,103 | lean | /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about sigma-types (dependent sums)
-/
import .prod
universes u v w
hott_theory
namespace hott
open hott.eq sigma hott.e... |
8dcb9581e54989cb81d8d99bc7319200cf2eb6b3 | 35960c5b117752aca7e3e7767c0b393e4dbd72a7 | /src/typing/core.lean | 8dc10d79b05cde7806b33de0309898b3eacc9964 | [
"Apache-2.0"
] | permissive | spl/tts | 461dc76b83df8db47e4660d0941dc97e6d4fd7d1 | b65298fea68ce47c8ed3ba3dbce71c1a20dd3481 | refs/heads/master | 1,541,049,198,347 | 1,537,967,023,000 | 1,537,967,029,000 | 119,653,145 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,309 | lean | import env exp
namespace tts ------------------------------------------------------------------
variables {V : Type} [decidable_eq V] -- Type of variable names
open occurs exp typ sch
inductive typing : env V → exp V → typ V → Prop
| var : Π {Γ : env V} {x : tagged V} {s : sch V} {ts : list (typ V)},
x :~ s ∈ Γ ... |
79c96d47be6d09a827c9740cb140bab62bcdb8e7 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/limits/shapes/biproducts.lean | bf71a9f85d9c8fa881f71bbb8ab20f7659f5770c | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 19,226 | 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 category_theory.epi_mono
import category_theory.limits.shapes.binary_products
import category_theory.preadditive
/-!
# Biproducts and binary biproducts
We in... |
11954f2766439d8967e46cfa3b27464ba84b0724 | 26b8b0964ca8e1c2e203585ba5940f83fe05e48a | /test/rewrite_search.lean | 5082a4183fab44ec5b17dd0f53acc468ff497fe7 | [] | no_license | jcommelin/lean-tidy | ef3cd32a3804221d93f0dff9e180bb2c52f4b143 | 9cecf497e90db64b5ea140ad6ae1603976dcd402 | refs/heads/master | 1,585,129,919,276 | 1,533,512,680,000 | 1,533,512,680,000 | 143,677,361 | 0 | 0 | null | 1,616,803,481,000 | 1,533,530,576,000 | Lean | UTF-8 | Lean | false | false | 4,013 | lean | import tidy.rewrite_search
namespace tidy.rewrite_search.testing
axiom foo' : [6] = [7]
axiom bar' : [[6],[6]] = [[5],[5]]
example : [[7],[6]] = [[5],[5]] :=
begin
success_if_fail { rewrite_search [] },
-- rw [←foo', bar']
rewrite_search [←foo', bar'],
end
@[search] private axiom foo : [0] = [1]
@[search] private... |
513fbd7f5914c30775e2403e06ec000a532394a8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/prime.lean | caae523b3054c5b37df651693b99cd1d56701ff0 | [
"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 | 2,697 | lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.associated
import algebra.big_operators.basic
/-!
# Prime elements in rings
This file contains lemmas about prime elements of commutative rings.
-/
variab... |
79160b5059140508610bd7e265c87da0d6fdb883 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/TermSeq.lean | 9c5a4d8b4b9eaacff30788c152699f7afbebe6bd | [
"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 | 351 | lean | inductive TermSeq where
| empty : TermSeq
| cons : {α : Type} → (a : α) → (tail: TermSeq) → TermSeq
namespace TermSeq
def prodType : TermSeq → Type
| empty => Unit
| @cons α a tail => Prod α (prodType tail)
def asProd : (ts: TermSeq) → prodType ts
| empty => (() : Unit)
| @cons α a tail => (a, asProd tai... |
9d7b3222a8748ea891e9510c43f6f2d22ae3f8fe | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/lemmas.lean | 144a707cf5c448b9bbdb53a68bc6baa89959a3ad | [
"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 | 2,148 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Yury Kudryashov
-/
import data.set.function
import data.list.basic
/-! # Some lemmas about lists involving sets
Split out from `data.list.basic` to reduce its depen... |
fb53dccaef093e3e46229b33e2e29bf59b7a9407 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/power_basis.lean | 53dadb23c1b45074857160b198671851789e7a01 | [
"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 | 14,596 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.minpoly
/-!
# Power basis
This file defines a structure `power_basis R S`, giving a basis of the
`R`-algebra `S` as a finite list of powers `1, x, ...... |
05596b07efe52645789824051b08e34fba9b93d8 | 0c6b99c0daded009943e570c13367c8cc7d3bcae | /chapter3.lean | 1041386edace8ff2cb601555361b1e997bdf381b | [] | no_license | TateKennington/logic-and-proof-exercises | e3c5c5b12b6238b47b0c5acf8717923bd471a535 | acca8882026e7b643453eb096d3021cd043005bd | refs/heads/main | 1,687,638,489,616 | 1,626,858,474,000 | 1,626,858,474,000 | 371,871,374 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,637 | lean | section
variables A B : Prop
variable h : A ∧ B
example: B ∧ A :=
and.intro (and.right h) (and.left h)
end
section
variables Q R : Prop
variable h: Q
example: (Q → R) → R :=
assume h1, h1 h
end
section
variables A B: Prop
example: ¬(A ∧ B) → (A → ¬B):=
assume h,
assume h1,
assum... |
284bcb1f8a1c757a10ccf1953267c3a80bf1a2e1 | dcf093fda1f51c094394c50e182cfb9dec39635a | /path.lean | 5997639bd6b66ed15a886b2c92b7ba848d8ee7de | [] | no_license | dselsam/cs103 | 7ac496d0293befca95d3045add91c5270a5d291f | 31ab9784a6f65f226efb702a0da52f907c616a71 | refs/heads/master | 1,611,092,644,140 | 1,492,571,015,000 | 1,492,571,015,000 | 88,693,969 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,009 | lean | import data.list data.subtype data.sigma
open subtype list prod prod.ops sigma.ops
definition edge (V : Type) := V × V
definition graph (V : Type) := edge V → Prop
definition undirected {V : Type} (g : graph V) := ∀ (u v : V), g (u,v) → g (v,u)
namespace path
variables {V : Type} [V_decidable_eq : decidable_eq V]
i... |
6a3df16cd00478abe686ce943d12c40a3e74c283 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/refinePreservesNaturalMVars.lean | 952656e504d98985c7ef97a65cd7882433a84e6f | [
"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 | 1,516 | lean | import Lean
/-! Ensures that `refine` does not remove pre-existing natural goals from the goal list. -/
open Lean Meta Elab Tactic Term
elab "add_natural_goal" s:ident " : " t:term : tactic => do
let g ← mkFreshExprMVar (← elabType t) .natural s.getId
appendGoals [g.mvarId!]
/-!
In the following, `refine` woul... |
4e8c1f5f053375ec9282c0d3e8bd431741a01697 | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/mywork/lectures/lecture_22a.lean | f1a8767b384f9b65c6aa23aa75c76eeeaeb4f074 | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,338 | lean | /-
State formally and prove the proposition
that congruence mod n is an equivalence
relation. Follow the steps below.
-/
/-
First, we need to define congruence mod n.
Technically it is defined not only on the
natural numbers but on the integers.
Here's the English language definition:
Given a natural number, n, grea... |
9405a152a1d03e207a7b9d2bfb47f127cf3ca26d | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/have.lean | 61ae385dc4acde85e1ed078bda708e4020de9115 | [] | 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 | 958 | lean | variable f : ℕ → ℕ
variable H : ∀ (n:ℕ), f n ≤ f (n+1)
example : f 0 ≤ f 3 :=
have f 0 ≤ f 1, from H 0,
have f 0 ≤ f 2, from le_trans this (H 1) ,
show f 0 ≤ f 3, from le_trans this (H 2)
example : f 0 ≤ f 3 :=
have f 0 ≤ f 1, from H 0,
have f 0 ≤ f 2, from le_trans (by assumption) (H 1),
show f 0 ≤ f 3,... |
51acf6bf5ce23e465e40c46962d82eb5813ce370 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/RightZero.lean | 95390ffc1badf382edd4fc93398ed149f64ab69f | [] | 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 | 6,467 | 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 RightZero
structure RightZero (A : Type) : Type :=
(e : A)
(op : (A → (A → A)))
(rightZero_op_e : (∀ {x : A} , (op x e) = e))
open RightZero
stru... |
f2bb5e0fd4b71ba37d9441526f0df99389afd7a8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/algebra/algebra.lean | e8e4d433f4ed579e7f74931dec653ea8fb918e4d | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 4,001 | 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 algebra.algebra.subalgebra
import topology.algebra.module
/-!
# Topological (sub)algebras
A topological algebra over a topological semiring `R` is a topologi... |
ca9d81c3b3534538516f033914d4b30413ae8c93 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/catchThe.lean | 1472ca74f96a8ae7d32aa5cdff0f5b3dad8d5a16 | [
"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 | 852 | lean | import Lean.Meta
new_frontend
open Lean
open Lean.Meta
universes u v w
abbrev M := ExceptT String $ MetaM
def testM {α} [HasBeq α] [HasToString α] (x : M α) (expected : α) : MetaM Unit := do
let r ← x;
(match r with
| Except.ok a => «unless» (a == expected) $ throwError ("unexpected result " ++ toString a)
| Exc... |
907a9e1feee717b264afc0533c86a091ced6b5e0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/apply_fun.lean | a77b1ba953d4e4b863b0d5d3513f54659c6fe979 | [
"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 | 5,164 | 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 tactic.monotonicity
namespace tactic
/-- Apply the function `f` given by `e : pexpr` to the local hypothesis `hyp`, which must either be
of the ... |
632620ce16dadb025071eaf119f2220b19110722 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/meta/mk_dec_eq_instance.lean | 202647df5c6ffae3646767b010685be4a65f7f8b | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,254 | 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... |
d1d33ce6e0a19055fbe13e95d34c9854529b1cab | c0807e3249ba126be15fd22370e98ae1a6dac0f0 | /src/Blake3.lean | 928d2308acfc576af47420e169a5bf162c0c0263 | [] | no_license | tydeu/lean-blake3 | 1297035629db93e13ffa6a4381f9a0dc496f796f | 26fab13b7d37a7c473bd3aaf8a585c5b44b64839 | refs/heads/main | 1,693,063,372,343 | 1,634,843,383,000 | 1,634,843,383,000 | 419,835,491 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,315 | lean | /-
Bindings to the Blake3 hashing library.
-/
namespace Blake3
/-
BLAKE3 constant values.
-/
constant BLAKE3_KEY_LEN: Nat := 32
constant BLAKE3_OUT_LEN: Nat := 32
constant BLAKE3_BLOCK_LEN: Nat := 64
constant BLAKE3_CHUNK_LEN: Nat := 1024
constant BLAKE3_MAX_DEPTH: Nat := 54
/-
Simplification rules for ensuring type... |
9c82a3ae759e73134223dd7968df78dd6ee4bfe6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/abelian/transfer.lean | 5134e852c5df956f0f201418028cdd71a369fc08 | [
"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 | 8,651 | lean | /-
Copyright (c) 2022 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.limits.preserves.shapes.kernels
import category_theory.adjunction.limits
/-!
# Transferring "abelian-ness... |
712789268892913cc33fc0ea751399809c84e07c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/logic/nontrivial.lean | aca6f71a477fedaca718c3fe5a64990eab826a07 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,173 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.pi
import Mathlib.data.prod
import Mathlib.logic.unique
import Mathlib.logic.fun... |
8b1268251217ea1f53ebdeb725772e5f2e3193a5 | 78630e908e9624a892e24ebdd21260720d29cf55 | /src/logic_propositional/prop_09.lean | e32eea1e4c7d47cef55a4070e2aa294b90813452 | [
"CC0-1.0"
] | permissive | tomasz-lisowski/lean-logic-examples | 84e612466776be0a16c23a0439ff8ef6114ddbe1 | 2b2ccd467b49c3989bf6c92ec0358a8d6ee68c5d | refs/heads/master | 1,683,334,199,431 | 1,621,938,305,000 | 1,621,938,305,000 | 365,041,573 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 271 | lean | namespace prop_09
variables X Y : Prop
theorem prop_9 (h : X ∨ Y) (h2 : ¬ X) : Y :=
show Y, from or.elim h
(assume h1: X,
show Y, from (classical.by_contradiction
(assume Y,
h2 h1)))
(assume h3: Y,
h3)
-- end namespace
end prop_09 |
5b278f81a63862407e3e2f67901781b1bc3c3bef | 91b8df3b248df89472cc0b753fbe2bac750aefea | /experiments/lean/src/ddl/host/basic.lean | cb2b23009bb26f1cdf31014f3e5c66d8d154077c | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | yeslogic/fathom | eabe5c4112d3b4d5ec9096a57bb502254ddbdf15 | 3960a9466150d392c2cb103c5cb5fcffa0200814 | refs/heads/main | 1,685,349,769,736 | 1,675,998,621,000 | 1,675,998,621,000 | 28,993,871 | 214 | 11 | Apache-2.0 | 1,694,044,276,000 | 1,420,764,938,000 | Rust | UTF-8 | Lean | false | false | 1,253 | lean | import ddl.basic
namespace ddl.host
/- The type syntax of the host language -/
inductive type (ℓ : Type) : Type
| bool {} : type
| nat {} : type
| union_nil {} : type
| union_cons : ℓ → type → type → type
| struct_nil {} : type
| struct_cons : ℓ → type → type → type
| array {} : type →... |
0f75c9fc5aab41dd4e87e70d93a62fdcaba659f2 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/types/lift.hlean | 147df4507029f3b26fa41b3b918ab5068dee1f6b | [
"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 | 4,888 | 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 lift
-/
import ..function
open eq equiv equiv.ops is_equiv is_trunc
namespace lift
universe variables u v
variables {A : Type.{u}} (z z' : lift... |
6eb1bcf2d01ed728494240ac7927f65ee11cf791 | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/monoid_localization.lean | 62272387ffb01ad53a1dbeba2c00c2248022d15d | [
"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 | 54,941 | 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 group_theory.submonoid
import algebra.group.units
import algebra.punit_instances
/-!
# Localizations of commutative monoi... |
616efc43456e51184d7a4ba25a23c37775ee864d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/perm/option.lean | 1cfa369403d7cdf1d7c8f35c4f7d07915205e1e3 | [
"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 | 3,001 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.perm.sign
import logic.equiv.option
/-!
# Permutations of `option α`
-/
open equiv
@[simp] lemma equiv.option_congr_one {α : Type*} : (1 : perm α).opt... |
ff8423fdc00a68d6f0ec6a6b530a32469fa8712f | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/tactic/doc_commands.lean | d1e9a634285c33536f79affe9419122e6ac85e0c | [
"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 | 16,888 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.fix_reflect_string
/-!
# Documentation commands
We generate html documentation from mathlib. It is convenient to collect lists of tactics, commands,... |
4e334a55114f3717cf9b841442ffdbdd69fff27e | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/bicategory/coherence.lean | 17e06361f01b26e5e83a4b6c7b705f5586f70b98 | [
"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 | 9,120 | lean | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno, Junyan Xu
-/
import category_theory.path_category
import category_theory.functor.fully_faithful
import category_theory.bicategory.free
import category_theory.bicategory.local... |
c8b3b1f9f7b529b54195adf965c022c6630895eb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/euclidean/inversion.lean | 92cd13a99fa17f3f9ef4dc189871f685c602b0f2 | [
"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 | 5,526 | 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.inner_product_space.basic
/-!
# Inversion in an affine space
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a... |
55171b1aeae2da558e63b463543ac39eb91f1411 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/ac_rfl.lean | d7e2df4677db6d4dc87cdaaf544090c2fe0b0752 | [
"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 | 3,973 | lean | open Lean
instance : IsAssociative (α := Nat) HAdd.hAdd := ⟨Nat.add_assoc⟩
instance : IsCommutative (α := Nat) HAdd.hAdd := ⟨Nat.add_comm⟩
instance : IsNeutral HAdd.hAdd 0 := ⟨Nat.zero_add, Nat.add_zero⟩
instance : IsAssociative (α := Nat) HMul.hMul := ⟨Nat.mul_assoc⟩
instance : IsCommutative (α := Nat) HMul.hMul := ... |
d0e1fef771a1e44ceceb182c5d30d64f553cc00b | 46125763b4dbf50619e8846a1371029346f4c3db | /src/measure_theory/probability_mass_function.lean | 89b155b6f090fc34a4db7c9c10232f838e61a2d9 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 4,785 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Probability mass function -- discrete probability measures
-/
import topology.instances.nnreal topology.instances.ennreal topology.algebra.infinite_sum
noncomputable the... |
6b8f53bf5e7571f137df5ebada6cb5b6a0bbdb7e | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Meta/Tactic/Injection.lean | 89f4fbdcb5f6b44755158c3af8c900627d730a55 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,146 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Intro
namespace Lean.Meta
def getCtorNumP... |
8346be9be1a52b4e36d38317fcc99e8ff9fa60d8 | c0807e3249ba126be15fd22370e98ae1a6dac0f0 | /tests/Tests.lean | 513378e4da701e92fc9586b4a71409663d7afae3 | [] | no_license | tydeu/lean-blake3 | 1297035629db93e13ffa6a4381f9a0dc496f796f | 26fab13b7d37a7c473bd3aaf8a585c5b44b64839 | refs/heads/main | 1,693,063,372,343 | 1,634,843,383,000 | 1,634,843,383,000 | 419,835,491 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23 | lean | import Tests.HashString |
0e74b50e4cbce039b24fb1e76ef1055e500f0efa | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/autoBoundImplicits1.lean | 7352980ebf380c74ba7ae5589fa5ca8e3321c94f | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 2,353 | lean | def myid (a : α) := a -- works
set_option relaxedAutoImplicit false
#check myid 10
#check myid true
theorem ex1 (a : α) : myid a = a := rfl
def cnst (b : β) : α → β := fun _ => b -- works
theorem ex2 (b : β) (a : α) : cnst b a = b := rfl
def Vec (α : Type) (n : Nat) := { a : Array α // a.size = n }
def mkVec : Vec... |
9beb8aaeeff36b7321504df139421894613c9455 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /elaborate/add_comm_0.lean | c97fcf277084ed25b8999b4ccd87e248c209891a | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 1,311 | lean | λ (m n : mynat),
mynat.rec
(eq.rec (eq.refl m)
(eq.rec (eq.refl (m = add zero m))
(eq.rec (eq.refl (m = add zero m))
(mynat.rec (eq.refl zero)
(λ (m_n : mynat) (m_ih : add zero m_n = m_n),
eq.rec (eq.refl (succ m_n))
(eq.rec (eq... |
815bc1a36a4d56d23ca34116041cfeac87e5a85d | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/app/SMTParser.lean | aa1527bb17f0ff9d2d2f8d1da821da2918986a00 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 7,862 | lean | import Galois.Data.RBMap
import Galois.Data.SExp
import SMTLIB.Syntax
import LeanLLVM.AST
import X86Semantics.Common
import ReoptVCG.WordSize
namespace ReoptVCG
section
universes u v
open WellFormedSExp
open SMT
------------------------------------------------------------------------
-- Expression
inductive Atom ... |
9f4d02fb4edc87ed6d8782f56a886cbee9b61740 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/init/pointed.hlean | 4b0cc5eb7e0a72121443a961c0e3f07b73a0956f | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 3,605 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
The definition of pointed types. This file is here to avoid circularities in the import graph
-/
prelude
import init.trunc
open eq equiv is_equiv is_trunc
struct... |
d08ebf9b115d739366606fe6414f14330e195dc4 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/witt_vector/frobenius.lean | 6d0ed81da992cdfbcc34e87783d0bf3c690adf36 | [
"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 | 13,300 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.nat.multiplicity
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
/-!
## The Frobenius operator
If `R` has characteristic `... |
d609cac6d845f3fb0be313c315208343872b1662 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/norm_num.lean | 2d42386325d80e04f832ffb3f4120210362cc838 | [
"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 | 65,987 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import data.rat.cast
import data.rat.meta_defs
import data.nat.prime
/-!
# `norm_num`
Evaluating arithmetic expressions including `*`, `+`, `-`, `^`, `≤`.
... |
27e8c6559793067dd3633a847141b0c5b9cc600d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/445.lean | 1e93c8e1e96ae58f5a837883052e030daf887c3d | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 112 | lean | constants (A : Type) (a : A)
constants (B : Type) (b₁ b₂ : B) (H : b₁ = b₂)
check a
check b₁
check H
|
c5efecc3c758391809288f11f951b5d51854bee1 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /05_Interacting_with_Lean.org.18.lean | 7ceeadcfe408965c67d0f783b98eab82ed174600 | [] | 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 | 635 | lean | /- page 73 -/
import standard
import data.nat data.int
open nat int
variables a b : int
variables m n : nat
-- BEGIN
check 123 -- 123 : num
check (123 : nat) -- 123 : ℕ
check (123 : int) -- 123 : ℤ
check a + n -- a + n : ℤ
check n + a -- n + a : ℤ
check a + 123 -- a + 123 : ... |
690b0c786f17308db7a5cd8b3745cbd971ee2ffa | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/meta/async_tactic.lean | 0f86f1dfe11ab310f480b1e6a466bb3fac765493 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,851 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.meta.tactic
import init.meta.interactive
namespace tactic
private meta def report {α} (s : tactic_state) : option (unit → format) → α
| (some fmt)... |
6a41dd5c32b77caf2341078dfb630c3f3ccc016b | dac4e6671410f506c880986cbb2212dd7f5b3dfd | /hanoi_project/nga.lean | 6ca0a56405b33b73d3a2b3573300129a17c5f75a | [
"CC-BY-4.0"
] | permissive | thalesant/formalabstracts-2018 | e6ddfe8b3ce5c6f055ddcccf345bf55c41f850c1 | d206dfa32a6b4a84aacc3a5500a144757e6d3454 | refs/heads/master | 1,642,678,879,231 | 1,561,648,713,000 | 1,561,648,713,000 | 97,608,420 | 1 | 0 | null | 1,564,063,995,000 | 1,500,388,250,000 | Lean | UTF-8 | Lean | false | false | 22 | lean | #print "Good morning!" |
dc325b06736772213deb244d33cc9dfb479b5079 | 193da933cf42f2f9188bb47e3c973205bc2abc5c | /AA_Algebras/01_dm_bool/2b_dm_bool_test.lean | 46d6ee891cf6163dca0aeb42ca0ca699191aa41f | [] | no_license | pandaman64/cs-dm | aa4e2621c7a19e2dae911bc237c33e02fcb0c7a3 | bfd2f5fd2612472e15bd970c7870b5d0dd73bd1c | refs/heads/master | 1,647,620,340,607 | 1,570,055,187,000 | 1,570,055,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,222 | lean | /-
To use definitions from another lean, you must
"import" that file: directly or indirectly. If
you don't import, then the symbols in that file
are not defined in this one. To see, uncomment
the following line. Hover to see the error and
understand what it's saying.
As an aside, importing from a file reveals the
def... |
3161f2a9abf1e30d106414386ceda30456f9f3cc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/PostPort/Pow.lean | 3c1e48e6e85c3952563ae56010f82ddfc6de6ad6 | [] | 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 | 428 | 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 Mathlib.Lean3Lib.init.core
namespace Mathlib
universes u v
variable {α : Type u} {β : Type v}
noncomputable instance [has_pow α β] : HPow ... |
fa59bf794486dbcc9971adc4b4ead42a1d0cbec1 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/tactic_paper_supplemental_material/monoid_cancellation/cancellation_solver.lean | 312b57c072ef26da714ba417922726c904150878 | [
"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 | 1,586 | lean | import .smt
local infix * := star
open tactic smt_tactic
attribute [ematch] one_star
meta def qf_monoid := using_smt $ smt_tactic.intros; eblast
section
variables {a b c d : m}
lemma plus_unit_p : a = b → o * a = b := by qf_monoid
lemma plus_assoc_p1 : a * (b * c) = d → (a * b) * c = d := by qf_monoid
lemma plus_asso... |
755a570210d1f5290868561603d9c69f2870df9c | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/data/vector.lean | 64b9abe2756ba41ce85df61254a08486b7cc05e1 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 4,563 | 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
Tuples are lists of a fixed size.
It is implemented as a subtype.
-/
prelude
import init.data.list init.data.subtype init.meta.interactive init.data.fin
unive... |
632b429fb15dbfb03d23cd6559811a7b39518602 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/witt_vector/structure_polynomial.lean | 56c0ebbbc5b430b468135a01ee2fd18504fd0cce | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,512 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.matrix.notation
import field_theory.mv_polynomial
import field_theory.finite.polynomial
import number_theory.basic
import ring_theory.wi... |
8a27e8c410cea0ac144983dbf75d64408c11e608 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1050.lean | 25fc31940d42ce916b4234e5cf5ef05ce0ac9f85 | [
"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 | 950 | lean | universe u
inductive Foo : Type u → Type u → Type (u+1)
| foo {as bs cs: Type u}: Foo as bs → Foo bs cs → Foo as cs
namespace Foo
mutual
def bar : {as bs: Type u} → Foo.{u} as bs → bs :=
bar_aux
def bar_aux: {as bs: Type u} → Foo.{u} as bs → bs
| as, bs, foo _ x => x.bar
end
terminati... |
5cd655dae821273b355b48fa17844be3f8ebca90 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/presheaves/locally_ringed.lean | 0114976684dc38fb06cb9c57cfbce09bd4364b18 | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 979 | lean | import category_theory.presheaves.sheaves
import category_theory.presheaves.stalk
import category_theory.examples.CommRing.products
import category_theory.examples.rings
import ring_theory.ideals
universes v
open category_theory.examples
open category_theory.presheaves
open category_theory.limits
variables (X : Top.... |
a45d80b171f423ab7de4c3909bf99aa067955948 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/invertible.lean | 3713bfd6d689179b8c4c3106f2750a913e330a81 | [
"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 | 9,971 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.group.units
import algebra.ring.basic
/-!
# Invertible elements
This file defines a typeclass `invertible a` for elements `a` with a two-sided
multiplicat... |
3784e0689c97519ac98b486259beb3fce04c920d | 704c0b4221e71a413a9270e3160af0813f426c91 | /src/refinement/tableau_class.lean | 1777d90925c871ec8de41c8a34974bdcc617f5ad | [] | no_license | CohenCyril/LP | d39b766199d2176b592ff223f9c00cdcb4d5f76d | 4dca829aa0fe94c0627410b88d9dad54e6ed2c63 | refs/heads/master | 1,596,132,000,357 | 1,568,817,913,000 | 1,568,817,913,000 | 210,310,499 | 0 | 0 | null | 1,569,229,479,000 | 1,569,229,479,000 | null | UTF-8 | Lean | false | false | 1,127 | lean | import simplex
class is_tableau (X : ℕ → ℕ → Type) : Type :=
(to_tableau {m n : ℕ} : X m n → tableau m n)
(pivot {m n : ℕ} : X m n → fin m → fin n → X m n)
(pivot_col {m n : ℕ} (T : X m n) (obj : fin m) : option (fin n))
(pivot_row {m n : ℕ} (T : X m n) (obj : fin m) : fin n → option (fin m))
(to_tableau_pivot {m n : ... |
351caa05428b4d8e29b0d090f5d827340a1dd38d | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/option/basic.lean | a64fd190b0bc19b6ab5c14879097f0307fbf3cd5 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 18,799 | 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 logic.is_empty
import tactic.basic
import logic.relator
/-!
# Option of a type
This file develops the basic theory of option types.
If `α` is a type, then `... |
31af991f577aad2fd7214e2e08263cd8a880c270 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/polynomial/coeff.lean | 2f0628977a1336a197d0de8ad87adf80d1650a00 | [
"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 | 5,861 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.monomial
import data.finset.nat_antidiagonal
/-!
# Theory of univariate polynomials
The theorems ... |
fda83c952bbc5ab48fd00d147cc1feb1fa38c489 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /data/seq/parallel.lean | 69b2413719294fd8b6b24dad6062b7c7d2bfef89 | [] | 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 | 12,242 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Parallel computation of a computable sequence of computations by
a diagonal enumeration.
The important theorems of this operation are proven as
terminates_paralle... |
6efd9a6ae8467910e5e72ce17015804a4bf22824 | 4a3109c7bb55b7ea698278061cbb921b8db93b7f | /mm0-lean/mm0/fol.lean | 4ef2571867ceaf3a128a983c64041db724338136 | [
"CC0-1.0"
] | permissive | LongJohnCoder/mm0 | d233200cd7baae9c521cacfbbe162b2ff3bd993f | 0c556a21af92d552e859fd42794f57398c3964cf | refs/heads/master | 1,600,930,472,594 | 1,574,627,400,000 | 1,574,627,400,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,925 | lean | import zfc
def deps := list bool
def deps.single (n : ℕ) : deps :=
nat.rec ([tt]) (λ _, list.cons ff) n
-- | 0 := [tt]
-- | (n+1) := ff :: deps.single n
def deps.union (d1 : deps) : deps → deps :=
list.rec id (λ a l₁ IH l₂,
list.cases_on l₂ l₁ (λ b l₂, (a || b) :: IH l₂)) d1
-- | [] l := l
-- | l [] := l
-- | (a :... |
808195bad0065d46ef163220bb694fad0af83506 | 4f9ca1935adf84f1bae9c5740ec1f2ad406716fa | /src/data/real/nnreal.lean | 96f855c503762387229197a24bc03f9c5a77c1c6 | [
"Apache-2.0"
] | permissive | matthew-hilty/mathlib | 36fd7db866365e9ee4a0ba1d6f8ad34d068cec6c | 585e107f9811719832c6656f49e1263a8eef5380 | refs/heads/master | 1,607,100,509,178 | 1,578,151,707,000 | 1,578,151,707,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,155 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.basic order.lattice algebra.field
noncomputable theory
open lattice
open_locale classical
/-- Nonnegative real numbers.... |
280040c58fd8e186cae1d4fbb1c01ea5937cc7a1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/filter/basic.lean | 748cf89a8400b475a214bab0b0de99a5c45ba79a | [
"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 | 121,167 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import control.traversable.instances
import data.set.finite
import order.copy
import tactic.monotonicity
/-!
# Theory of filters on sets
## Main defi... |
c03175c4e21e44f818ea0f155d10529de4212579 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/set_theory/ordinal/principal.lean | 61774bc56030ae224fd06ca702bc1ddbbf4a95ab | [
"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 | 16,575 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.ordinal.fixed_point
/-!
### Principal ordinals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requ... |
daf9f8871b8cf8ef65dcdff017d38eeb591f5aee | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /old_library/init/funext.lean | b5e7563d9f33b429ad642de5a24908d46f1b1ac1 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,227 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Extensional equality for functions, and a proof of function extensionality from quotients.
-/
prelude
import init.quot init.logic
namespace function
universe va... |
3d215252222c2386aa31ce2a27d7be9f077b751e | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Parser/Do.lean | 32afe9ecd699afeddc6c26096c0cc95613c55079 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,483 | 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.Parser.Term
namespace Lean
namespace Parser
builtin_initialize registerBuiltinParserAttribute `builtinDoElemParser `doElem
builtin_initialize ... |
ae5c2470734a94a965085df85f17de831006eb85 | 2a8b9c9fb34993732e24b7934050207f28675948 | /lua/tests/fixtures/example-lean4-project/Test/Test1.lean | 6877d754bb3da8335e1d4916195d43f5dd06e150 | [
"MIT"
] | permissive | jcommelin/lean.nvim | 471b8c2c16f47e76dfc36dc85d1e9cf6938b58e6 | b10a525f65cd2fda1c2e629d4b68f241caf67d64 | refs/heads/main | 1,691,387,304,436 | 1,633,447,198,000 | 1,633,447,198,000 | 413,898,327 | 0 | 0 | MIT | 1,633,451,737,000 | 1,633,451,737,000 | null | UTF-8 | Lean | false | false | 20 | lean | def test : Nat := 5
|
98ae692ddb74b742045638c9b1a821c4e9a45784 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/witt_vector/basic.lean | 2067ecdfe286813e95b42743cdbe6f712e29abdc | [
"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 | 9,183 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.mv_polynomial.counit
import data.mv_polynomial.invertible
import ring_theory.witt_vector.defs
/-!
# Witt vectors
This file verifies th... |
653a20c1cd651a1aadc2b2c497a40c4b0f7be0a0 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/hints/thursday/afternoon/category_theory/exercise3/hint2.lean | 5e22fcdabdb9761c8ec48e6a7c3c80e59575d8ad | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 652 | lean | import for_mathlib.category_theory -- This imports some simp lemmas that I realised belong in mathlib while writing this exercise.
open category_theory
variables {C : Type*} [category C]
variables {D : Type*} [category D]
lemma equiv_reflects_mono {X Y : C} (f : X ⟶ Y) (e : C ≌ D)
(hef : mono (e.functor.map f)) : ... |
79cdfacb52b9911de4c028021c8edb26d7c39961 | 93366ecea09eebeeb0b320567c6f71715434c3f0 | /src/bum/auxiliary.lean | 78464bb08029d7f8876981656b7c28fe2ed3de20 | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/bum | 9c1286cedb878c1e14c618e81b33d365f62c8a8a | 18ffb2b46932ba767c50758a93cc99846ef1b46a | refs/heads/master | 1,670,171,693,018 | 1,669,086,393,000 | 1,669,086,393,000 | 205,409,352 | 8 | 6 | null | null | null | null | UTF-8 | Lean | false | false | 1,377 | lean | open System (FilePath)
@[extern 2 "lean_io_chdir"]
constant changeDir (s : @& String) : IO UInt32
@[extern 2 "lean_io_remove"]
constant IO.remove (s : @& String) : IO UInt32
@[extern 2 "lean_get_last_write_time"]
constant IO.getLastWriteTime (path : @& String) : IO UInt64
@[extern 3 "lean_io_set_env"]
constant IO.s... |
cb47af27a0a9213ccd53b57873fac9720e0d5068 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/field_theory/perfect_closure.lean | f247b2e20259ffbb8a746a82c8650d5453994011 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,647 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.char_p.basic
import data.equiv.ring
import algebra.group_with_zero.power
import algebra.iterate_hom
/-!
# The perfect closure of a field
-/
un... |
bc4bea87a888f7e00dd38f53ab5e6dc20b0c563b | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/ring_theory/noetherian.lean | 9ad8a180eaaf521e7e86a455a1dc9a76bac25aa0 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 21,255 | lean | /-
Copyright (c) 2018 Mario Carneiro and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import data.equiv.algebra
import linear_algebra.finsupp
import ring_theory.ideal_operations
import ring_theory.subring
import linear... |
96c51d5a5389eeabdb2bdb7454cdf3008071003b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/polynomial/scale_roots.lean | 00dc95b0543b5d1d2525117b9db622ce7470dd31 | [
"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 | 5,332 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Devon Tuma
-/
import ring_theory.polynomial.basic
import ring_theory.non_zero_divisors
/-!
# Scaling the roots of a polynomial
This file defines `scale_roots p s` for a po... |
754fc85f65fc85d35d166d0c1b5e45acebf5ff5e | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/prime.lean | ca448c7ebe0fcea5de8cf54e7e203986d4b38272 | [
"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 | 2,684 | lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.associated
import algebra.big_operators.basic
/-!
# Prime elements in rings
This file contains lemmas about prime elements of commutative rings.
-/
variab... |
a8a37090a1e0cac7893093efcb0e153c1e73ecbf | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/series/L01defs.lean | 09f98f65fdd2548b8194fdbd0808461273025dd1 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 179 | lean | import data.real.basic
import game.limits.bdd_monos_converge
--import topology.algebra.infinite_sum
namespace xena --hide
notation `|` x `|` := abs x -- hide
end xena --hide
|
9152c16cb91bc0130a1fc4a6dc33a508ccd054d6 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp7b.lean | 29280a2c0124ab3d6504da72640097960f1e9c0f | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 263 | lean | variables a b c d e f p: Bool
rewrite_set simple
add_rewrite and_assoc and_comm and_left_comm : simple
(*
local t = parse_lean("((f ∨ p) ∧ (e ∨ p)) ∧ ((p ∨ d) ∧ c) ∧ (b ∧ a)")
local t2 = simplify(t, "simple")
print(t)
print("====>")
print(t2)
*)
|
cca9da0b49dd09b0a913ab0d151e2178a3b788cc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/integral/circle_integral.lean | 9cd190c8bdbcd22fed27fad57e494b6c17bedbdf | [
"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 | 30,659 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import measure_theory.integral.interval_integral
import analysis.normed_space.pointwise
import analysis.special_functions.non_integrable
import analysis.analytic.ba... |
93a236e2a9a9edd18f0d904a219f210167b8e5bd | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/group_theory/congruence.lean | fdc393c614ad6f452b3d19c20703723ce4cdfb33 | [
"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 | 42,709 | 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 data.setoid.basic
import algebra.group.pi
import algebra.group.prod
import data.equiv.mul_add
import group_theory.submonoid.operations
/-!
# Congruence ... |
ec320ff6b3efe271152c851f73a3a10a9fa19cfa | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/doc_commands.lean | d03a2a214e221c40d5be33aa8fefdc54dd064de1 | [
"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 | 161 | lean | import tactic.doc_commands
open tactic
namespace bar
def foo := 5
/-- ok -/
add_decl_doc foo
run_cmd do
ds ← doc_string ``foo,
guard $ ds = "ok"
end bar
|
44e086e478c58d8aa14c4985e00aa3f40c2f8352 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/polynomial/div.lean | 8cc64300f878fb835ab2dbc1d46e06f13306803d | [
"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 | 25,910 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.monic
import ring_theory.euclidean_domain
import ring_theory.multiplicity
/-!
# Division of univar... |
93aa0ffd1276169df3ea737facdb2e0902628d88 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/pi_instances.lean | 3ab20ab678d387dde01c3c930ed5d18053492af0 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 2,072 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import tactic.solve_by_elim order.basic
/-!
# `pi_instance`
Automation for creating instances of mathematical structures for pi types
-/
namespace tactic
open interactiv... |
2d613a910b8cc1f7d2fe4ff7e58210bfca09db9c | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/lie/semisimple.lean | d91ce454a00c130d05d2cc3b5cd162bc5219d2fb | [
"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 | 4,544 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.solvable
/-!
# Semisimple Lie algebras
The famous Cartan-Dynkin-Killing classification of semisimple Lie algebras renders them one of the
most importan... |
ba956daded82690cc38d36f482ca5ed851bae9f1 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/data/int/basic.lean | d9c0d85c7bf0b4b8eb2e99835e8eee1c7c93a802 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 51,594 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic data.list.basic algebra.char_zero algebra.order_functions
open nat
namespace int
... |
1a90cac0f96fea99c2c2d337410ea49c2c147857 | 4bddde0d06fbd53be6f23d7f5899998e8f63410b | /src/tactic/iconfig/command.lean | 313a7def5e8eee9b6fe0a8ae787a76c6f085eb4f | [] | no_license | khoek/libiconfig | 4816290a5862af14b07683b3d2663e8e62832ef4 | 6f55c50bc5d852d26ee5ee4c5b52b2cda2a852e5 | refs/heads/master | 1,586,109,683,212 | 1,559,567,916,000 | 1,559,567,916,000 | 157,085,466 | 0 | 1 | null | 1,559,567,917,000 | 1,541,945,134,000 | Lean | UTF-8 | Lean | false | false | 1,358 | lean | import .tactic
open iconfig
open tactic lean lean.parser
open interactive interactive.types
@[user_command] meta def iconfig_mk_cmd (_ : decl_meta_info) (_ : parse (tk "iconfig_mk")) : lean.parser unit := do
n ← ident,
of_tactic' $ iconfig.env_mk n
private meta def eat_members (cfgn : name) : lean.parser unit :=... |
82a98c1dcaaba044c3a8433f8ef45ef41ddde279 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/data/finsupp.lean | 78aa4f34eea119ea12924be5abb6fa3168f02e47 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 58,345 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
d50517095eb1c0a9d750404458bceec13b2bb8d4 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/is_connected.lean | a087eef022bf5998878d1029c92613fd60ccef3e | [
"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 | 14,272 | 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 data.list.chain
import category_theory.punit
import category_theory.groupoid
/-!
# Connected category
Define a connected category as a _nonempty_ category for wh... |
cfb4de7f3a12ad5a680ea50c9a625e74c72e4a0b | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/Mbar/bounded.lean | 7045bba9e8090e1903a18dde51d96bc1d7f249e8 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,609 | lean | import data.fintype.intervals
import data.real.basic
import algebra.big_operators.ring
import data.fintype.card
import category_theory.Fintype
import topology.order
import topology.separation
import topology.subset_properties
import data.real.nnreal
/-!
# \overline{\mathcal{M}}_r(S)_{\leq c}
Throughout, `S` is finit... |
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