logic.equiv.nat
⟷
Mathlib.Logic.Equiv.Nat
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
-import Mathbin.Data.Nat.Pairing
+import Data.Nat.Pairing
#align_import logic.equiv.nat from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module logic.equiv.nat
-! leanprover-community/mathlib commit c3291da49cfa65f0d43b094750541c0731edc932
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Data.Nat.Pairing
+#align_import logic.equiv.nat from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
+
/-!
# Equivalences involving `ℕ`
mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0
@@ -73,7 +73,6 @@ def prodEquivOfEquivNat (e : α ≃ ℕ) : α × α ≃ α :=
α × α ≃ ℕ × ℕ := prodCongr e e
_ ≃ ℕ := pairEquiv
_ ≃ α := e.symm
-
#align equiv.prod_equiv_of_equiv_nat Equiv.prodEquivOfEquivNat
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/0148d455199ed64bf8eb2f493a1e7eb9211ce170
@@ -71,7 +71,7 @@ def intEquivNat : ℤ ≃ ℕ :=
def prodEquivOfEquivNat (e : α ≃ ℕ) : α × α ≃ α :=
calc
α × α ≃ ℕ × ℕ := prodCongr e e
- _ ≃ ℕ := mkpairEquiv
+ _ ≃ ℕ := pairEquiv
_ ≃ α := e.symm
#align equiv.prod_equiv_of_equiv_nat Equiv.prodEquivOfEquivNat
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -3,6 +3,7 @@ Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
+import Mathlib.Data.Nat.Bits
import Mathlib.Data.Nat.Pairing
#align_import logic.equiv.nat from "leanprover-community/mathlib"@"207cfac9fcd06138865b5d04f7091e46d9320432"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -19,7 +19,7 @@ open Nat Function
namespace Equiv
-variable {α : Type _}
+variable {α : Type*}
/-- An equivalence between `Bool × ℕ` and `ℕ`, by mapping `(true, x)` to `2 * x + 1` and
`(false, x)` to `2 * x`. -/
Briefly during the port we were adding "Ported by" headers, but only ~60 / 3000 files ended up with such a header.
I propose deleting them.
We could consider adding these uniformly via a script, as part of the great history rewrite...?
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
@@ -2,7 +2,6 @@
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-Ported by: Anatole Dedecker
-/
import Mathlib.Data.Nat.Pairing
@@ -3,14 +3,11 @@ Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Ported by: Anatole Dedecker
-
-! This file was ported from Lean 3 source module logic.equiv.nat
-! leanprover-community/mathlib commit 207cfac9fcd06138865b5d04f7091e46d9320432
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Data.Nat.Pairing
+#align_import logic.equiv.nat from "leanprover-community/mathlib"@"207cfac9fcd06138865b5d04f7091e46d9320432"
+
/-!
# Equivalences involving `ℕ`
fix-comments.py
on all files.@@ -14,7 +14,7 @@ import Mathlib.Data.Nat.Pairing
/-!
# Equivalences involving `ℕ`
-This file defines some additional constructive equivalences using `encodable` and the pairing
+This file defines some additional constructive equivalences using `Encodable` and the pairing
function on `ℕ`.
-/
@@ -63,7 +63,7 @@ def intEquivNat : ℤ ≃ ℕ :=
def prodEquivOfEquivNat (e : α ≃ ℕ) : α × α ≃ α :=
calc
α × α ≃ ℕ × ℕ := prodCongr e e
- _ ≃ ℕ := mkpairEquiv
+ _ ≃ ℕ := pairEquiv
_ ≃ α := e.symm
#align equiv.prod_equiv_of_equiv_nat Equiv.prodEquivOfEquivNat
simps
, just raises a linter error if you run simps
in a more expensive mode without writing !
.to_additive, simps
. Will do that systematically in future PR.OmegaCompletePartialOrder.ContinuousHom.ofMono
a bitCo-authored-by: Yury G. Kudryashov <urkud@urkud.name>
@@ -40,7 +40,7 @@ def boolProdNatEquivNat : Bool × ℕ ≃ ℕ where
/-- An equivalence between `ℕ ⊕ ℕ` and `ℕ`, by mapping `(Sum.inl x)` to `2 * x` and `(Sum.inr x)` to
`2 * x + 1`.
-/
-@[simps symm_apply]
+@[simps! symm_apply]
def natSumNatEquivNat : ℕ ⊕ ℕ ≃ ℕ :=
(boolProdEquivSum ℕ).symm.trans boolProdNatEquivNat
#align equiv.nat_sum_nat_equiv_nat Equiv.natSumNatEquivNat
This PR is the result of a slight variant on the following "algorithm"
_
and make all uppercase letters into lowercase_
and make all uppercase letters into lowercase(original_lean3_name, OriginalLean4Name)
#align
statement just before the next empty line#align
statement to have been inserted too early)@@ -34,6 +34,8 @@ def boolProdNatEquivNat : Bool × ℕ ≃ ℕ where
left_inv := fun ⟨b, n⟩ => by simp only [bodd_bit, div2_bit, uncurry_apply_pair, boddDiv2_eq]
right_inv n := by simp only [bit_decomp, boddDiv2_eq, uncurry_apply_pair]
#align equiv.bool_prod_nat_equiv_nat Equiv.boolProdNatEquivNat
+#align equiv.bool_prod_nat_equiv_nat_symm_apply Equiv.boolProdNatEquivNat_symm_apply
+#align equiv.bool_prod_nat_equiv_nat_apply Equiv.boolProdNatEquivNat_apply
/-- An equivalence between `ℕ ⊕ ℕ` and `ℕ`, by mapping `(Sum.inl x)` to `2 * x` and `(Sum.inr x)` to
`2 * x + 1`.
@@ -42,6 +44,7 @@ def boolProdNatEquivNat : Bool × ℕ ≃ ℕ where
def natSumNatEquivNat : ℕ ⊕ ℕ ≃ ℕ :=
(boolProdEquivSum ℕ).symm.trans boolProdNatEquivNat
#align equiv.nat_sum_nat_equiv_nat Equiv.natSumNatEquivNat
+#align equiv.nat_sum_nat_equiv_nat_symm_apply Equiv.natSumNatEquivNat_symm_apply
set_option linter.deprecated false in
@[simp]
@@ -28,8 +28,7 @@ variable {α : Type _}
/-- An equivalence between `Bool × ℕ` and `ℕ`, by mapping `(true, x)` to `2 * x + 1` and
`(false, x)` to `2 * x`. -/
@[simps]
-def boolProdNatEquivNat : Bool × ℕ ≃
- ℕ where
+def boolProdNatEquivNat : Bool × ℕ ≃ ℕ where
toFun := uncurry bit
invFun := boddDiv2
left_inv := fun ⟨b, n⟩ => by simp only [bodd_bit, div2_bit, uncurry_apply_pair, boddDiv2_eq]
The unported dependencies are