logic.equiv.natMathlib.Logic.Equiv.Nat

This file has been ported!

Changes since the initial port

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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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -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"
 
Diff
@@ -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`
 
Diff
@@ -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
 -/
 
Diff
@@ -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

Changes in mathlib4

mathlib3
mathlib4
chore: reduce imports (#9830)

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

Diff
@@ -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"
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -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`. -/
chore: remove 'Ported by' headers (#6018)

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>

Diff
@@ -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
 
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -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`
 
chore: fix upper/lowercase in comments (#4360)
  • Run a non-interactive version of fix-comments.py on all files.
  • Go through the diff and manually add/discard/edit chunks.
Diff
@@ -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`.
 -/
 
chore: rename mkpairpair (#2324)

We rename the ported mkpair to pair, as mkpair didn't follow the naming convention and pair pairs well with unpair. A poll for this decision was held on zulip.

Diff
@@ -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
 
feat: require @[simps!] if simps runs in expensive mode (#1885)
  • This does not change the behavior of simps, just raises a linter error if you run simps in a more expensive mode without writing !.
  • Fixed some incorrect occurrences of to_additive, simps. Will do that systematically in future PR.
  • Fix port of OmegaCompletePartialOrder.ContinuousHom.ofMono a bit

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

Diff
@@ -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
chore: add missing #align statements (#1902)

This PR is the result of a slight variant on the following "algorithm"

  • take all mathlib 3 names, remove _ and make all uppercase letters into lowercase
  • take all mathlib 4 names, remove _ and make all uppercase letters into lowercase
  • look for matches, and create pairs (original_lean3_name, OriginalLean4Name)
  • for pairs that do not have an align statement:
    • use Lean 4 to lookup the file + position of the Lean 4 name
    • add an #align statement just before the next empty line
  • manually fix some tiny mistakes (e.g., empty lines in proofs might cause the #align statement to have been inserted too early)
Diff
@@ -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]
chore: tidy various files (#1311)
Diff
@@ -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]
feat: port Logic.Equiv.Nat (#1227)

See discussion here

Dependencies 2 + 138

139 files ported (98.6%)
58831 lines ported (99.8%)
Show graph

The unported dependencies are