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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
882dbc3ef5f4bf5d336cbfc78ae54ffba2b7ca2a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/nat/neg_elim.lean | fe4bd9edefa45c7fefeb8d35d2616ae476fbacd5 | [] | 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 | 1,819 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.nat.form
import Mathlib.PostPort
namespace Mathlib
/-
Negation elimination.
-/
namespa... |
0ba9a072fef982abcbae531797f52350ec0d9833 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/polar_coord.lean | 05cc1d283346ee238be474c7224af241c2524a9b | [
"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 | 6,693 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.function.jacobian
/-!
# Polar coordinates
We define polar coordinates, as a local homeomorphism in `ℝ^2` between `ℝ^2 - (-∞, 0]` and
`(0... |
ddd976fb0a8670dc03cc0c0b137640240e17c66b | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/analysis/calculus/extend_deriv.lean | 3f2d7b8136e322283df234ebcc983fa41a1f558c | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 11,224 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
import tactic.monotonicity
/-!
# Extending differentiability to the boundary
We investigate how differentiable functions i... |
b356ac15b34219de3b9992401fc8a0ecd553ffdd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/modBug.lean | 61b5357d2306b3cca672f0513e25cd37c872d338 | [
"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 | 65 | lean | theorem proofOfFalse : False := Nat.zero_ne_one (Nat.mod_zero 1)
|
6c3fa0e76803a5e61dcba3415477870c532174b7 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/finset/partition.lean | 49de48afb7147fada38736815a70b1c7a0e00418 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,861 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Haitao Zhang
Partitions of a type A into finite subsets of A. Such a partition is represented by
a function f : A → finset A which maps every element a : A to its equivalence cl... |
a11533325510b71501bb8b2bf1822f454b3a1094 | 883eaea6bef0d3c38f46c45d3454e0af631a6e61 | /src/inClassNotes/final/imp.lean | 5a1b3c2897f794c1186ef4045a3a41125bfab143 | [] | no_license | hannahbrooke720/complogic-s21 | bd3c4981cfeb8642654d83ce874a5c50a3077948 | 3f4098b174c54e1699a07222662ffec7e14223f2 | refs/heads/master | 1,681,504,336,289 | 1,620,140,677,000 | 1,620,140,677,000 | 335,838,993 | 0 | 0 | null | 1,620,140,678,000 | 1,612,413,391,000 | Lean | UTF-8 | Lean | false | false | 1,920 | lean | import .arith_expr
import .bool_expr
/-
Syntax of our little language (OLL).
OLL supports mutable variables and
values of types arithmetic (bool) and
arithmetic (nat). It has an assignment
command for each of these two types.
It also supports sequential composition
of smaller programs into larger ones.
-/
inductive... |
05f4fde06c5642cfe8c0a76ce4949249d815a79b | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/set_theory/schroeder_bernstein.lean | 27b4b3576cd14dab42cbfac11b887afb9b5d2a22 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 5,085 | 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
The Schröder-Bernstein theorem, and well ordering of cardinals.
-/
import order.fixed_points data.set.lattice logic.function logic.embedding order.zorn
... |
77ea33fb1d8ac74a3cef6cd2dc51f0da5ef53e40 | 0e175f34f8dca5ea099671777e8d7446d7d74227 | /library/init/logic.lean | 556e9fd3404b5740a0e8420df00a5a48165d3c71 | [
"Apache-2.0"
] | permissive | utensil-contrib/lean | b31266738071c654d96dac8b35d9ccffc8172fda | a28b9c8f78d982a4e82b1e4f7ce7988d87183ae8 | refs/heads/master | 1,670,045,564,075 | 1,597,397,599,000 | 1,597,397,599,000 | 287,528,503 | 0 | 0 | Apache-2.0 | 1,597,408,338,000 | 1,597,408,337,000 | null | UTF-8 | Lean | false | false | 38,243 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.core
universes u v w
@[simp] lemma opt_param_eq (α : Sort u) (default : α) : opt_param α default = α ... |
05509e1e78ef09c4a9751c7a2139b6138489360e | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/ring_theory/witt_vector/structure_polynomial.lean | 0687358c5ac85d4841524694d464a67e10b1a636 | [
"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 | 15,080 | 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... |
b2eacba909b3f5a292d11667392522e79e51e61a | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/krein_milman.lean | 3c51794d09acf71cab654c5523c2996ee100a2ec | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 5,409 | lean | /-
Copyright (c) 2021 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.simplicial_complex.exposed
import order.order_dual
open_locale classical affine big_operators
open set
--TODO: Generalis... |
0a6d1b9d7763216ae79c99089d9d30c1b3ef1de0 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Server/References.lean | 21c551ca16db282335713a8f2c7802b26138712a | [
"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 | 12,132 | lean | /-
Copyright (c) 2021 Joscha Mennicken. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joscha Mennicken
-/
import Lean.Server.Utils
import Std.System.Uri
/-! # Representing collected and deduplicated definitions and usages -/
namespace Lean.Server
open Lsp Lean.Elab... |
f87b36b851e30ba68fe10fb37948594eb1a572b8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/projective_spectrum/scheme.lean | 82bb7e9c258a6907adaaf927a92b90aef7d1450f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,431 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import algebraic_geometry.projective_spectrum.structure_sheaf
import algebraic_geometry.Spec
/-!
# Proj as a scheme
This file is to prove that `Proj` is a scheme.
## N... |
e0653f8eee37363a64988dff6293f1ba1c6f38ca | 1890046a4987fbd27f3f50dbac83f3ce095556d5 | /01_Equality/04_propositions_as_types.lean | 319571d1fac55e6186865e269b5518e31d9238a9 | [] | no_license | kbhuynh/cs-dm | 9f335727d1779f7c3d9e8221a52b4c9c106659ba | 4041bd73618a49ef6870a1a80764e8947e60e768 | refs/heads/master | 1,585,353,017,958 | 1,536,055,215,000 | 1,536,055,215,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,930 | lean | /-
Wait! Lean is telling us that: eq.refl 0 : 0 = 0.
Putting parenthesis in can make it easier to read:
(eq.refl 0) : (0 = 0). We've so far read this as
saying that (eq.refl 0) is a proof of 0 = 0. But
the observant reader will see that it looks just
like a type judgment as well. It looks like it's
saying that (eq.... |
811d0c80721749f19da188d195f327e5cb1ea489 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/algebra/field.hlean | e0f71e61b3e66e4ca9f83075ec1d2fc44290c218 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,013 | hlean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
Structures with multiplicative and additive components, including division rings and fields.
The development is modeled after Isabelle's library.
Ported from the standard ... |
e95c407841163aad9e98bb89849e659f304166f8 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.22.lean | 1634657322c7af1b7302eb008980cf611720b486 | [] | 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 | 776 | lean | import standard
example (p q r : Prop) : p ∧ (q ∨ r) ↔ (p ∧ q) ∨ (p ∧ r) :=
iff.intro
(assume H : p ∧ (q ∨ r),
show (p ∧ q) ∨ (p ∧ r), from
proof
have Hp : p, from and.elim_left H,
or.elim (and.elim_right H)
(assume Hq : q,
show (p ∧ q) ∨ (p ∧ r), from or.inl (and.intro Hp Hq))
(assume Hr : r,
show (p ∧ q) ∨ (p ∧ r), f... |
24f7dd4ad154fa2744258b78d382b24efdd2b1f1 | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/K/jump.lean | 7e7ca12e65d4cdae038f3a850f839fcb7a671ac6 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,640 | lean | import .rules
open psum nnf node
set_option eqn_compiler.zeta true
def tableau : Π Γ : list nnf, node Γ
| Γ :=
match get_contra Γ with
| inl w := contra_rule w.2
| inr no_contra :=
match get_and Γ with
| inl p :=
let Δ := p.1.1 :: p.1.2 :: Γ.erase (nnf.and p.val.1 p.val.2) in
let inst := and_ins... |
c41e58e9b9dc2bba6093bfdb04b74e228375f743 | bb31430994044506fa42fd667e2d556327e18dfe | /src/category_theory/idempotents/functor_extension.lean | 2178e4be73b4c2c013dda820272123e5c4e9c5ee | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 10,990 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.karoubi
/-!
# Extension of functors to the idempotent completion
In this file, we construct an extension `functor_extension₁`
of functors ... |
e626842792f8bec6070030abf4d11454eb0e84e8 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/linear_algebra/finsupp_vector_space.lean | 65184852f79a7d81672e8d17dc40de1242f814f7 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 6,858 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `α →₀ β`.
-/
import data.finsupp data.mv_polynomial linear_algebra.dimension
noncomputable theory
open lattice set lin... |
21e40b6bda2ab12541260cc30e0e147062f071ea | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/locally_ringed_space.lean | 10096613620f6b305153be7d31658bde1e8b7acf | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 10,268 | 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 algebraic_geometry.ringed_space
import algebraic_geometry.stalks
import logic.equiv.transfer_instance
/-!
# The category of locally ringed spaces
We define ... |
9701775616180b85ad432cc137a1d32561f0ff11 | 5b0c53e5aaa0e60538d10f6b619a464aaf463815 | /ch7.hlean | 163f925b3908755647af95b05fb63cbc6ba2cb7f | [
"Apache-2.0"
] | permissive | bbentzen/hott-book-in-lean | f845a19ef09d48d2fb813624b4650d5832a47e10 | 9e262e633e653280b9cde5d287631fcec8501f64 | refs/heads/master | 1,586,430,679,994 | 1,519,975,089,000 | 1,519,975,089,000 | 50,330,220 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,482 | hlean | /-
Copyright (c) 2017 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Theorems and exercises of the HoTT book (Chapter 7)
-/
import .ch2 .ch3 .ch4
open eq prod unit bool sum sigma ua funext nat lift decidable
/- ************************************** -/
/- Ch.7 Homotopy... |
640962fceca4703f0c0507456a610aec959c010c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/letArrowOutsideDo.lean | 71ce43654c806ab99df19fbd2bad14faa1831f1c | [
"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 | 63 | lean | def myFun (n : Nat) : IO Nat :=
let q ← (10 : Nat)
n + q
|
1188ee7b01a7b45476cbb59074cba222de19b9fd | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Compiler.lean | 80de3ba550bfc080618b30b14e740a19cc083a4c | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 489 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.InlineAttrs
import Lean.Compiler.Specialize
import Lean.Compiler.ConstFolding
import Lean.Compiler.ClosedTermCache
import Lean.Compiler... |
0d4c45e0a43aaf3032972354aa8ee65bf812db4f | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/nat/factorial.lean | 83445004a8c0b9a220f1d400b2d2628214d59135 | [
"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 | 3,141 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes, Floris van Doorn
-/
import data.nat.basic
/-!
# The factorial function
-/
namespace nat
variables {m n : ℕ}
/-- `nat.factorial n` is the factorial of `... |
e1e9d1770a94331aca089d055c947c6d32679f1b | 5bf112cf7101c6c6303dc3fd0b3179c860e61e56 | /lean/problems/default.lean | 945b79881f786cf14e6bdeda633ce75a4fe44d34 | [
"Apache-2.0"
] | permissive | fredfeng/formal-encoding | 7ab645f49a553dfad2af03fcb4289e40fc679759 | 024efcf58672ac6b817caa10dfe8cd9708b07f1b | refs/heads/master | 1,597,236,551,123 | 1,568,832,149,000 | 1,568,832,149,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36 | lean | import problems.algebra.imo_2018_sl
|
80cd59754e7576d7b04f59a8c124fd3216600505 | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/concretion/pseudo_apply.lean | 848dd479e561c73bc6670550e5590301e96a4063 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,630 | lean | import data.cpi.concretion.congruence
namespace cpi
namespace concretion
variables {ℍ : Type} {ω : context}
/-- An alternative measure, simply computes the depth of a term, and thus is
preserved over renames. -/
private def depth : ∀ {Γ} {b y}, concretion ℍ ω Γ b y → ℕ
| _ _ _ (#(_; _) _) := 1
| _ _ _ (F |₁ _) :... |
edd02dd67d5b77caf691b15ea2a9ed8e0020890a | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/PreDefinition/WF/TerminationBy.lean | 9aaa5d7f6cbe90fd316fc7c9643f8cd455a9dc3c | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,652 | 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.Parser.Command
namespace Lean.Elab.WF
inductive TerminationBy where
| none
| one (stx : Syntax)
| many (map : NameMap Syntax)
def expan... |
19c697fdd65a3477effe6fe3d33734e1f60c1640 | ed9ca7f44f366ca3a04272f939b2275961f36c59 | /src/for_mathlib/uniform_space/separation.lean | 44368851b5111681daf9848cac18988fc40ac8fb | [
"Apache-2.0"
] | permissive | wh941231/lean-perfectoid-spaces | e88fb5d76746009242349f276cd0920285d8beb9 | 43954f64ce4afdf4fa39e2aeef8ec43826b24f2a | refs/heads/master | 1,653,641,928,775 | 1,588,499,720,000 | 1,588,499,720,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,178 | lean | import topology.uniform_space.separation
import topology.uniform_space.uniform_embedding
import for_mathlib.quotient
import for_mathlib.topology
noncomputable theory
local attribute [instance, priority 0] classical.prop_decidable
open filter
universes u v w
local notation f `∘₂` g := function.bicompr f g
section
... |
feb550a2bec79c53a84e6276272deadda4de76dd | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/nat/prime.lean | e0c6db381197c4b9e5f60b015582eb5030109d63 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 17,103 | 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, Jeremy Avigad, Mario Carneiro
Prime numbers.
-/
import data.nat.sqrt data.nat.gcd data.list.basic data.list.perm
open bool subtype
namespace nat
open decida... |
17116306fea15bf183be74b35327a25ffc144594 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/group4.lean | f9c17c88dfa9a43dfa1a60797acb0b6475ce3c4a | [
"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 | 4,073 | 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
-- algebra.group
-- =============
-- Various structures with 1, *, inv, including groups.
import logic.eq logic.connectives
import data.unit da... |
0f24a65190ccc8d63f41fde6b3812f872964b38e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/algebra/module/multilinear.lean | de11e05b4035eaf53bc71a61c35a2cc71d463249 | [
"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 | 20,024 | 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 topology.algebra.module.basic
import linear_algebra.multilinear.basic
/-!
# Continuous multilinear maps
We define continuous multilinear maps as maps f... |
3bc4e9d09c951c0838bd251824b8f1281bca67c1 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/ring_theory/fractional_ideal.lean | 7dcf36f97245411d3c4eaec11f6919ed2623fb90 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,791 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.localization
import ring_theory.noetherian
import ring_theory.principal_ideal_domain
import tactic.field_simp
/-!
# Fractional ide... |
628fa139086e8b810184bc9e16def404cd554733 | 022547453607c6244552158ff25ab3bf17361760 | /src/algebra/big_operators/basic.lean | 2b7b5ed774c4d06d823aa0562f585f6f3ecb0930 | [
"Apache-2.0"
] | permissive | 1293045656/mathlib | 5f81741a7c1ff1873440ec680b3680bfb6b7b048 | 4709e61525a60189733e72a50e564c58d534bed8 | refs/heads/master | 1,687,010,200,553 | 1,626,245,646,000 | 1,626,245,646,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 59,207 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
7a133aed184056c25c28012ca9f23cb8b3d55c24 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/filter/at_top_bot.lean | 5f1ecbd476efa95135488b609d4430920b06b0d4 | [
"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 | 56,771 | 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, Yury Kudryashov, Patrick Massot
-/
import order.filter.bases
import data.finset.preimage
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids a... |
4d6a02ba378e3670ba8885fccffb941236da72aa | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/rewrite_search/search.lean | 41ed34462976385e67a315793d7c163840acd894 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 8,650 | lean | /-
Copyright (c) 2020 Kevin Lacker, Keeley Hoek, Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Keeley Hoek, Scott Morrison
-/
import data.buffer.basic
import meta.rb_map
import tactic.rewrite_search.discovery
import tactic.rewrite_search... |
605dc6a64dabb75b024a61cc61f0b5c351734d9e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/group_auto.lean | e1d9375c053e2ee2cda900b1e46919a7f30928d4 | [] | 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 | 5,966 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.integration
import Mathlib.PostPort
universes u_1
namespace Mathlib
... |
d05f623f04a50d2eafcb0c7108917addd932b6e7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/field_theory/minpoly.lean | 2cfa3279a3de65b58e4a39a27f200438662cafc5 | [
"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 | 23,936 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import data.polynomial.field_division
import ring_theory.integral_closure
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
3cc2beaf2e16afdba9cdf36f4369efee838beef0 | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /Papyrus/Script/AddressSpace.lean | d41c51cc0d6d0c0345112e3fbca65affd9fb2f1b | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 541 | lean | import Lean.Parser
import Papyrus.IR.AddressSpace
namespace Papyrus.Script
open Lean Parser
@[runParserAttributeHooks]
def addrspace := leading_parser
nonReservedSymbol "addrspace" true >> "(" >> termParser >> ")"
def expandAddrspace : (addrSpace : Syntax) → MacroM Syntax
| `(addrspace| addrspace($x:term)) => x
|... |
97759fed03f61981aa412c0c630e0b8392219d8f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/differential_object.lean | 268eb4e9ff21ac3a2e45ee3054108b4281d3d1ea | [
"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 | 8,872 | 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 data.int.basic
import category_theory.shift
import category_theory.concrete_category.basic
/-!
# Differential objects in a category.
A differential object in... |
122b21c68082e0ed80adf1a34e8d168257e7cabb | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /scratch/LP_operations.lean | 7a7c3c9ead396b4dbcaf8b24a6b6ab5914945539 | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 43,160 | lean | import data.matrix.pequiv data.rat.basic tactic.fin_cases data.list.min_max partition
open matrix fintype finset function pequiv
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix `ᵀ` : 1500 := transpose
s... |
4028045465c05b774df9d0f15ffa93672a59212d | 359199d7253811b032ab92108191da7336eba86e | /src/homework/hw3.lean | fcabad5f27ae84b3136140548606372a7d4367af | [] | no_license | arte-et-marte/my_cs2120f21 | 0bc6215cb5018a3b7c90d9d399a173233f587064 | 91609c3609ad81fda895bee8b97cc76813241e17 | refs/heads/main | 1,693,298,928,348 | 1,634,931,202,000 | 1,634,931,202,000 | 399,946,705 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,845 | lean | /-
Prove the following simple logical conjectures.
Give a formal and an English proof of each one.
Your English language proofs should be complete
in the sense that they identify all the axioms
and/or theorems that you use.
-/
-- #1
example : true := true.intro
/-
True is true by its introduction rule.
-/
-- #2
examp... |
7eda70bf5511095421262727e3faff48ca22c0e6 | 1ce2e14f78a7f514bae439fbbb1f7fa2932dd7dd | /src/factorize.lean | 66ffe9324e5499572f4e7e3a8f3033a16a45b32e | [
"MIT"
] | permissive | wudcscheme/lean-mathgirls | b88faf76d12e5ca07b83d6e5580663380b0bb45c | 95b64a33ffb34f3c45e212c4adff3cc988dcbc60 | refs/heads/master | 1,678,994,115,961 | 1,585,127,877,000 | 1,585,127,877,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,770 | lean | import data.list
import tactic.norm_num
import .common .tree_sort .list
local attribute [simp, reducible] nat.factors
@[simp, reducible]
def list.zip_with_count {α: Type*} [decidable_eq α] (l: list α): list (α × ℕ) :=
list.map (λ x, (x, list.count x l)) l
@[simp, reducible]
def factorize (n: ℕ) : list (... |
edc6b95cdf12498ebf810e9065f7936a2ade4400 | ae9f8bf05de0928a4374adc7d6b36af3411d3400 | /src/formal_ml/topological_space.lean | 4806d5b7bfb2a91595cf4992e1810425f2faf073 | [
"Apache-2.0"
] | permissive | NeoTim/formal-ml | bc42cf6beba9cd2ed56c1cd054ab4eb5402ed445 | c9cbad2837104160a9832a29245471468748bb8d | refs/heads/master | 1,671,549,160,900 | 1,601,362,989,000 | 1,601,362,989,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,272 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
ccbecfd6ff9cd681ba2847fcb0f4c8b363244a8b | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /sylow.lean | cb7eb34f450a514659041b623617d424e9086b17 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,451 | lean | import group_theory.subgroup group_theory.order_of_element data.fintype data.nat.prime data.nat.modeq .zmod_as_fin2 algebra.pi_instances group_theory.subgroup
open equiv fintype finset
universes u v w
variables {G : Type u} {α : Type v} {β : Type w} [group G]
namespace finset
lemma filter_insert_of_pos [decidable_eq ... |
740a82b44a1828fa0e145166a5095579f337604a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/asymptotics/superpolynomial_decay.lean | ea8d3972a69300d39829534662c86dfd11979e98 | [
"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 | 15,117 | lean | /-
Copyright (c) 2021 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import analysis.asymptotics.asymptotics
import analysis.normed_space.ordered
import data.polynomial.eval
import topology.algebra.order.liminf_limsup
/-!
# Super-Polynomial F... |
b9f12240f4af05a45017633d58d8a661f12c1630 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/quadratic_reciprocity.lean | 6588716c217f4e90351120b4e43436acfce81d5e | [
"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 | 24,987 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.finite.basic
import data.zmod.basic
import data.nat.parity
/-!
# Quadratic reciprocity.
This file contains results about quadratic residues modulo ... |
08bcf1dc2e7f5b83c425f5a78a9f2c349c241a31 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /archive/sensitivity.lean | 9400fb974aa0a4b67bdffbbc4feea790d3625f62 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 15,496 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and Patrick Massot
-/
import tactic.f... |
c91b8715f215fc56d486cc2b91dd76046315cb93 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/omega/find_scalars.lean | f43ce544aba72d6d92ce1a0cf5d1f89b3689819c | [
"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 | 3,034 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Tactic for performing Fourier–Motzkin elimination to find
a contradictory linear combination of input constraints. -/
import tactic.omega.term data.list.min_max
open list.func
... |
b7a1f99cb24befa425d84081acd6751a553447c6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/representation_theory/basic.lean | 1ed9a589137760a9b1e9874dc25c36d9dbd72df0 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,657 | lean | /-
Copyright (c) 2022 Antoine Labelle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle
-/
import algebra.module.basic
import algebra.module.linear_map
import algebra.monoid_algebra.basic
import linear_algebra.trace
import linear_algebra.dual
import linea... |
d352a56c70c26c6ef47c244b0a1955d58d60cfaf | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /07_Induction_and_Recursion.org.7.lean | 8e1be1f0954d159322ca724e1e17575422bd23eb | [] | 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 | 266 | lean | /- page 102 -/
import standard
namespace hide
inductive nat : Type :=
| zero : nat
| succ : nat → nat
namespace nat
notation 0 := zero
-- BEGIN
definition add (m : nat) : nat → nat
| add 0 := m
| add (succ n) := succ (add n)
-- END
end nat
end hide
|
d8efce8cf7756d6c075093c9d2ae7ae2f6a37481 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/sig1.lean | 6be66eca79897cfc9d8ca86ee4ae0dcbf14a5db1 | [
"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 | 249 | lean | check sig (x y : Nat) (z : Bool), x > y ∧ z
check sig a : Nat, Nat
check Nat ⨯ Bool ⨯ Nat
check Nat # Bool # Nat
check Nat # Type # Nat
set_option pp::unicode false
check sig x : Nat, Nat
check Nat ⨯ Bool ⨯ Nat
set_option pp::unicode true
|
705d35385f8b90c35ff8924e15714cb7fdb9134b | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/PrettyPrinter/Formatter.lean | ad0ae82ce626bb883eb889169887e328aca20a02 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,084 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The formatter turns a `Syntax` tree into a `Format` object, inserting both mandatory whitespace (to separate adjacent
tokens) as well as "pretty" optional ... |
353d984afd36cc33830fb9897cd8f7ad70f514bd | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/ring_theory/localization.lean | 7c4a7d3db71c6841d58c146cfb9fdf71a390fdb4 | [
"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 | 69,363 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston
-/
import data.equiv.ring
import group_theory.monoid_localization
import ring_theory.ideal.operations
import ring_theory.algebr... |
3d827110f2979462e51a349c8adb7ee62d4392bb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/localization/basic.lean | 06c272a17bd50b077a1299ac689e481caf752aa1 | [
"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 | 48,543 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import algebra.algebra.tower
import algebra.ring.equiv
import group_theory.monoid_localization
import ring_theor... |
d5aaf5ab97fbc72a4d62d3479f2612376ecf2f37 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/morphisms/open_immersion.lean | 4ae87dfbdce6e331cf6c478ec3560244ee4b2177 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,901 | 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 topology.local_at_target
import algebraic_geometry.morphisms.basic
/-!
# Open immersions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file req... |
867e558fa63a03cc002222d6b810f2e781b6f5e2 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/dynamics/circle/rotation_number/translation_number.lean | 9e3b0ddca153c4ef6ac5f2df0aad9597e74b8c34 | [
"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 | 28,240 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import analysis.specific_limits
import order.iterate
import algebra.iterate_hom
/-!
# Translation number of a monotone real map that commutes with `x ↦ x + 1`... |
2d25a263cf4efa219fcebe4edfc435f42765a7b6 | 7571914d3f4d9677288f35ab1a53a2ad70a62bd7 | /tests/lean/run/mk_byte.lean | ca5db36563ab8ee582424bf2cfbc9bc02207e066 | [
"Apache-2.0"
] | permissive | picrin/lean-1 | a395fed5287995f09a15a190bb24609919a0727f | b50597228b42a7eaa01bf8cb7a4fb1a98e7a8aab | refs/heads/master | 1,610,757,735,162 | 1,502,008,413,000 | 1,502,008,413,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,281 | lean | namespace Ex
universe u
-- def vector (α : Type u) (n : ℕ) := { l : list α // l.length = n }
namespace vector
variables {α : Type u} {n : ℕ}
@[pattern] def cons : α → vector α n → vector α (nat.succ n)
| a ⟨ v, h ⟩ := ⟨ a::v, congr_arg nat.succ h ⟩
def to_list' (v : vector α n) : list α := v.1
def drop (i : ℕ) : vect... |
f017079b5a19ea4c069053dfdf18ef1d9a11b904 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/enat.lean | 7f53e7b035da8e85f08cd0f9ff49f2da8e8abf62 | [
"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 | 20,030 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.pfun
import tactic.norm_num
import data.equiv.mul_add
/-!
# Natural numbers with infinity
The natural numbers and an extra `top` element `⊤`.
## Main defin... |
8e66229b512fcbd3ad7136109458a216b0391f6e | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/ring/basic.lean | 63876d521f26c45998b0bef2777fccd61334ccb8 | [
"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 | 42,530 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland
-/
import algebra.divisibility
import data.set.basic
/-!
# Properties and homomo... |
0ce2676f69921956180ccdaa6aad34039e0582bb | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.8.lean | 9b1869539b13f0fb794cc8e35d55bf1a928797f3 | [] | 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 | 785 | lean | /- page 15 -/
import standard
constants A B : Type
check A -- A : Type
check B -- B : Type
check Type -- Type : Type
check Type → Type -- Type → Type : Type
set_option pp.universes true -- display universe information
check A -- A.{l_1} : Type.{l_1}
check B ... |
eec88da4af77d6c1d42b0d3a41d3b29f61c1fa99 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /category/applicative.lean | 812b58f0d1c68ff3146278b597dd3db51e91d982 | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 4,929 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances for identity and composition functors
-/
import category.functor
universe variables u v w
section lemmas
open function
variables {F : Type u → Type v}
variables... |
f3c7e3bcbc39f2be8bb5d648b248d20aa85833af | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /plugin/PapyrusPlugin.lean | e1fbe5fafaf560d78ce1a480d6e3f8800a6aeb54 | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15 | lean | import Papyrus
|
501d72eb9266190c0366f4c56e3b7e05dd5cf4cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/norm_swap.lean | d6dd9aa727c7e81691dd09fa1e284b22a58570a2 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,098 | lean | /-
Copyright (c) 2021 Yakov Pechersky All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import logic.equiv.defs
import tactic.norm_fin
/-!
# `norm_swap`
Evaluating `swap x y z` for numerals `x y z` that are `ℕ`, `ℤ`, or `ℚ`, via a `norm_num` plugin.
T... |
7e16ad6dab6c3eaf5e32a0ce551cfa0b2fbf1e9b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/Scheme.lean | f05f267c286d195b2ce9b8d4eaa9863d81d555aa | [
"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 | 9,528 | 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 algebraic_geometry.Spec
/-!
# The category of schemes
A scheme is a locally ringed space such that every point is contained in some open set
where there is a... |
05f96a0bf03bffe5139c0706b1b1e885e409b3bd | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/algebra/uniform_group.lean | 850759ec45d6b1bc139c36b45e20b4f494c6f7a1 | [
"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 | 19,650 | 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 topology.uniform_space.uniform_embedding
import topology.uniform_space.complete_separated
import topology.algebra.group
import tactic.abel
/-!... |
2fff0c7c57d4f16cb46bf60380521c8e40f8e840 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/measure_theory/decomposition.lean | 3ac07f7373b90693130dbdfab14a0344475d54d3 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 8,673 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Hahn decomposition theorem
TODO:
* introduce finite measures (into nnreal)
* show general for signed measures (into ℝ)
-/
import measure_theory.measure_space
open set... |
eaba90b4d74d2c21781d35390f3032b0c3f0fa78 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/control/equiv_functor.lean | bf80dc9194bb224009477e453e70f692232f4126 | [
"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 | 3,448 | 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 logic.equiv.defs
/-!
# Functions functorial with respect to equivalences
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprover-community... |
e0ae96ccd70372d49585238d6ff830dbf73f7ca8 | e61a235b8468b03aee0120bf26ec615c045005d2 | /tests/lean/json.lean | 319cae4e5ee7292f30367f6e2f248131bf48bff2 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 605 | lean | import Init.Lean.Data.Json.Parser
import Init.Lean.Data.Json.Printer
def test (s : String) : String :=
match Lean.Json.parse s with
| Except.ok res => toString res
| Except.error err => err
#eval test "null"
#eval test "false"
#eval test "true"
#eval test "123.456e-7"
#eval test "-0.01e8"
#eval test "\"\""
#eval t... |
6bb376cc0286ffb171818d55aab207f0039a0bcd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/ideal/basic.lean | b4a03c6b8d82367e332bfc33d75d51f6d3e5254b | [
"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 | 24,737 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.atoms
import order.compactly_generated
import tactic.abel
import data.nat.choos... |
48f7e32f66954497207072ba0748dd273cb954a0 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /two_category.lean | c849c053604f1fd0e54b7f7ba6b06a6a283bcf7c | [] | 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 | 4,271 | 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 .natural_transformation
open tqft.categories
open tqft.categories.functor
open tqft.categories.natural_transformation
namespace tqft.cate... |
a32a8d93d156c58bed9f04c89169a859eb44e80d | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/app/VCGBlock.lean | ef759acd3f3d8ae2e7e3f05695c531d03f427383 | [] | 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 | 34,174 | lean |
import LeanLLVM.AST
import LeanLLVM.LLVMLib
import LeanLLVM.PP
import SMTLIB.Syntax
import X86Semantics.Common -- for reg names
import ReoptVCG.Types
import ReoptVCG.VCGBackend
import ReoptVCG.WordSize
import ReoptVCG.MCStdLib
import ReoptVCG.SMT
namespace ReoptVCG
open LLVM (LLVMType Typed PrimType Value)
open SMT... |
8f99e0c6e91ae48a328b63b3e7b796b67786c2fe | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/quotient.lean | a046da6f01a1d0e9ffe3446dd4ca1ab689170d67 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 1,006 | lean | import data.set.basic
import data.quot
variables {α : Type*} {β : Type*} [s : setoid α]
namespace quotient
lemma prod_preimage_eq_image (g : quotient s → β) {h : α → β} (Hh : h = g ∘ quotient.mk) (r : set (β × β)) :
{x : quotient s × quotient s | (g x.1, g x.2) ∈ r} =
(λ a : α × α, (⟦a.1⟧, ⟦a.2⟧)) '' ((λ a : α × α... |
efe9c4cd0ff28fc565570462f883db881def40f0 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/linear_algebra/exterior_algebra.lean | 2c2a8f8250c628b58bccf6ffe01480f3bf20cb9f | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,945 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhangir Azerbayev, Adam Topaz, Eric Wieser.
-/
import algebra.ring_quot
import linear_algebra.tensor_algebra
import linear_algebra.alternating
import group_theory.perm.sign
/-!
# Exterio... |
13727c699c715ef8ee7f6f670277edf1754f1de8 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/lib/env.lean | 90a8ee2926867d8d5b899c598a40d9f3be941246 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 868 | lean | namespace environment
meta def decl_omap {α : Type} (e : environment) (f : declaration → option α) : list α :=
e.fold [] $ λ d l, match f d with
| some r := r :: l
| none := l
end
meta def decl_map {α : Type} (e : environment) (f : declaration → α) : li... |
47e7c8b6c7fa4bbbf5c214e1ba1287c5ad4e1578 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/category_theory/limits/preserves.lean | 395b5eace7ff4be3244fa79833d5f1110c18069c | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,243 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.limits.limits
/-!
# Preservation and reflection of (co)limits.
There are various distinct notions of "preserving limits". The on... |
b5c425f1b7485d970f5b9b2fc160518d9cbe7af4 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/equiv/local_equiv.lean | 2b34575485843045b9e5e972ea2715f99797e621 | [
"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 | 24,804 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.equiv.basic
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `local_equiv α β` is made o... |
fe634b5b4bd369de6342fd576127aff21c4b16e3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/GetConst.lean | e16e5161f025e5e8745073e6e6db60a38edc7e79 | [
"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 | 1,516 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.GlobalInstances
namespace Lean.Meta
private def canUnfoldDefault (cfg : Config) (info : ConstantInfo) : CoreM Bool := do
match cfg.tran... |
e44d49a1d8dff9f82eaf4dda2a326a416f7440da | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/seq/wseq.lean | c55be3a1b2301d47a5e2b8e4eb9b35aea12f4df7 | [
"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 | 56,216 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.seq.seq
namespace stream
open function
universes u v w
/-
coinductive wseq (α : Type u) : Type u
| nil : wseq α
| cons : α... |
3af56f82b9be7eb2292a2a9bcb4a362573406907 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/bool/all_any.lean | 150e38cf3ab2674cac86fab8bd6e0885ac44d218 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,731 | 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.list.basic
/-!
# Boolean quantifiers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This... |
06b9cfb85be8c8d9fa02ef32331106198a61c794 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /order/filter.lean | f7873b0d7083140eae64738955fdf72c0f885d9d | [
"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 | 75,469 | 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 filters on sets.
-/
import order.galois_connection data.set data.finset order.zorn
open lattice set
universes u v w x y
local attribute [instance] classical... |
a6b0c44d75a0eef268e540e88c4d01f53c6d7d1d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_topology/dold_kan/notations.lean | e7194e9cf2bd89407c055b5b9e759749e0a47901 | [
"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 | 702 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.alternating_face_map_complex
/-!
# Notations for the Dold-Kan equivalence
This file defines the notation `K[X] : chain_complex C ℕ` for the altern... |
ef36d344d7688b9f255b799aa1266319925f8520 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /world_experiments/world9/level4.lean | 163665c7ff3e8675023ab5b1b831246792a41bb6 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 797 | lean | import game.world5.level3 -- hide
namespace mynat -- hide
/-
# World 5 : Inequality world
## Level 4 : `le_trans`
-/
/- Lemma
≤ is transitive. In other words, if $a\leq b$ and $b\leq c$ then $a\leq c$.
-/
theorem le_trans {{a b c : mynat}} (hab : a ≤ b) (hbc : b ≤ c) : a ≤ c :=
begin [less_leaky]
cases hab with ... |
07f8ea654aaa047ceed4e00157e03d8458d9c5c7 | ca37452420f42eb9a19643a034c532fb39187bd0 | /lemmas_from_ramsey.lean | a1c1be4369221216cdb16ae066db60fe47c19f99 | [] | no_license | minchaowu/Kruskal.lean | 0096fd12c6732dcb55214907e7241df27d22a51e | 0ec4a724c18d8fa2bc1e81dfc026a045888526d5 | refs/heads/master | 1,589,975,750,330 | 1,481,928,508,000 | 1,481,928,508,000 | 70,121,484 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,364 | lean | import data.nat data.set
open classical nat function set
section
-- the least number principle.
lemma alt_of_wf {A : set ℕ}: ∀ n, n ∈ A → ∃₀ a ∈ A, ∀₀ b ∈ A, a ≤ b :=
take n,
nat.strong_induction_on n
(take n, assume IH, assume ninA,
by_cases
(suppose ∃₀ m ∈ A, m < n,
obtain m (Hm : m ∈ A ∧ m < n), from this,
IH... |
6a9ea918c8dda635fcc50c1f0717c38a5b14a9f9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/analytic/composition.lean | 520255f56928feaf25bb748cac3de386a2b44520 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,534 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.analytic.basic
import Mathlib.combinatorics.composition
impo... |
82bce7e235424037b2626d5075247cb8014037b9 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/category/pairwise.lean | cba20b4bb1e2fd0445af510de0edacb8bfc6a273 | [
"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 | 4,291 | 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.limits.preserves.basic
import category_theory.limits.lattice
/-!
# The category of "pairwise intersections".
Given `ι : Type v`, we build th... |
b93f30cd7fa6d2ef8d3b364665f1eb6f4ae8425c | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/gcd_monoid.lean | d4c956703b0d9bb3275135a38340b2faaaebf38a | [
"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 | 31,281 | 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
TODO: Provide a GCD monoid instance for `ℕ`, port GCD facts about nats
TODO: Generalize normalization monoids commutative (cancellative) monoids with or... |
a2449e734bd488b1faba125c69f6034b58eb1613 | 93f5d951583b87344f929a9ec18c4f603d920c4a | /src/summary.lean | 62febc569a54147e546df2f68ca787475fee23ad | [
"Apache-2.0"
] | permissive | jesse-michael-han/flypitch | 824a8c1955deb661943b02146d281932dad39302 | b9a25b75f6a6c69bd2913c66a8e32fc67f196335 | refs/heads/master | 1,625,819,158,405 | 1,595,824,334,000 | 1,595,824,334,000 | 167,225,933 | 1 | 0 | null | 1,548,265,151,000 | 1,548,265,151,000 | null | UTF-8 | Lean | false | false | 2,359 | lean | /-
Copyright (c) 2019 The Flypitch Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jesse Han, Floris van Doorn
-/
import .zfc .completeness .print_formula
open fol bSet pSet lattice collapse_algebra
/-
This file summarizes:
- important definitions with #pri... |
a1665092dc3b81404e66f6bccf42ca3a346d2bcf | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/polynomial/chebyshev/defs_auto.lean | a6c5e56eefdb61ce94e1bdacd067b731cfe5e1e5 | [] | 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 | 6,849 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.derivative
import Mathlib.tactic.ring
import Mathlib.PostPort
universes u_... |
7d8556163524db5542332460ac541c6b0eb93bc8 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Simp/CongrLemmas.lean | a758a8abbe838efe02be9c262e7ea7f22330e630 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 5,200 | 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.Meta.Basic
namespace Lean.Meta
structure CongrLemma where
theoremName : Name
... |
c90d5a6900ed279ce8a2822d661c745ad907bd3f | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Server/FileWorker.lean | a3caa6ef1c24bd20df86d2269291b70c06cce7d3 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 17,909 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
import Lean.Server.Util... |
8513a0ede836da6fbc3ad58316013d0f6d4b292a | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/uniform_space/equiv.lean | 037462f508c2a553366b0a52cadc32c8cc43b703 | [
"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 | 11,966 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton,
Anatole Dedecker
-/
import topology.homeomorph
import topology.uniform_space.uniform_embedding
import t... |
83f410d4a2d32b8b6e7b30cbe0c226d805d569bd | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/prod/basic.lean | 23378d994e015cad0e2c83032a300b4772365352 | [
"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 | 9,738 | 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 tactic.basic
/-!
# Extra facts about `prod`
This file defines `prod.swap : α × β → β × α` and proves various simple lemmas about `prod`.
-/
variables {α : T... |
0765a631354fa16ede076541c3b9491ba17656dc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/seq/computation.lean | e1324f9536a29630f8fbff4b959d20c5166413a3 | [
"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 | 37,987 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Coinductive formalization of unbounded computations.
-/
import tactic.basic
import data.stream.init
import logic.relator
open function
universes u v w
/-
coind... |
929879bbf16c0014cf161db8546ba5fbbb4013cb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /archive/examples/prop_encodable.lean | d2436fd06f034af105355094755ff159e1cadc83 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,140 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import data.W.basic
/-!
# W types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
The file `data/W.lea... |
df3e1d68e018688516f63797064bcd5b97bcb628 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/conjunctive.lean | 1c85ae15c1a0d577eed40327838e31706f9821f9 | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 917 | lean | import ..u_semiring
import ..sql
import ..cosette_tactics
open SQL
open Pred
open Expr
open Proj
lemma CQExample0:
forall Γ s1 s2 (a: SQL Γ s1) (b: SQL Γ s2)
ty0 ty1 (x: Column ty0 s1)
(ya: Column ty1 s1) (yb: Column ty1 s2),
denoteSQL ((DISTINCT (SELECT1 (right⋅left⋅x) (FROM1 (pro... |
d6b3d50f63627759ad743fc256910b0c0f3889c6 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Meta/LevelDefEq.lean | 672ceeb416975c4ee89c85dfa991d4940af26a7b | [
"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 | 9,670 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.InferType
namespace Lean.Meta
private partial def decAux? : Level → MetaM (Option Level)
| Level.zero _ =... |
f433daf05da30286e195ed6269c1dc4eef9b3cd5 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Parser/Command.lean | 41f0058b748f36196e95f7edefd797ea699f7c8f | [
"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 | 14,603 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Term
import Lean.Parser.Do
namespace Lean
namespace Parser
/-- Syntax quotation for terms. -/
@[builtinTermParser] d... |
7c394153e5b978e424a1c9b195b06c83a25c0829 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/notation2.lean | ba057e6d8fc7d5448bb7988c43ce7ad55a4da37a | [
"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 | 265 | lean | --
inductive List (T : Type) : Type | nil {} : List | cons : T → List → List open List notation h :: t := cons h t notation `[` l:(foldr `,` (h t, cons h t) nil) `]` := l
infixr `::` := cons
check (1:num) :: 2 :: nil
check (1:num) :: 2 :: 3 :: 4 :: 5 :: nil
|
f5402770e9a784c06e72b68291049629301200be | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/dedekind_domain.lean | 2c5c29a90d349519c5278d60c15c91c752f98126 | [
"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 | 5,708 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.discrete_valuation_ring
import ring_theory.fractional_ideal
import ring_theory.ideal.over
/-!
# Dedekind domain... |
652ce4a3ef9ac0738eebb8c93564054c76e40772 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/data/prod.lean | 8915b85a9de0dad9b9c281c4bc95a3359c03d2c6 | [
"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 | 1,643 | 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
-/
prelude
import init.logic
universes u v
section
variables {α : Type u} {β : Type v}
@[simp] lemma prod.mk.eta : ∀{p : α × β}, (p.1, p.2) = p... |
231545b258123bdbf624d06bbae2bca431f2ca4f | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.30.lean | 40d9ee59a044bbe0445a47e7e5688fc481e6aa4f | [] | 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 | 1,353 | lean | import standard
import data.nat
open nat decidable
definition ball (n : nat) (P : nat → Prop) : Prop :=
∀ x, x < n → P x
definition ball_zero (P : nat → Prop) : ball zero P :=
λ x Hlt, absurd Hlt !not_lt_zero
variables {n : nat} {P : nat → Prop}
definition ball_of_ball_succ (H : ball (succ n) P) : ball n P :=
λ x H... |
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