topology.instances.nat | Mathlib porting status

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.

Changes in mathlib3

620af85a

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f4758115

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,7 +3,7 @@ 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
 -/
-import Mathbin.Topology.Instances.Int
+import Topology.Instances.Int
 
 #align_import topology.instances.nat from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"

f4758115

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 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
-
-! This file was ported from Lean 3 source module topology.instances.nat
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Instances.Int
 
+#align_import topology.instances.nat from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Topology on the natural numbers

f4758115

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -29,19 +29,26 @@ namespace Nat
 noncomputable instance : Dist ℕ :=
   ⟨fun x y => dist (x : ℝ) y⟩
 
+#print Nat.dist_eq /-
 theorem dist_eq (x y : ℕ) : dist x y = |x - y| :=
   rfl
 #align nat.dist_eq Nat.dist_eq
+-/
 
+#print Nat.dist_coe_int /-
 theorem dist_coe_int (x y : ℕ) : dist (x : ℤ) (y : ℤ) = dist x y :=
   rfl
 #align nat.dist_coe_int Nat.dist_coe_int
+-/
 
+#print Nat.dist_cast_real /-
 @[norm_cast, simp]
 theorem dist_cast_real (x y : ℕ) : dist (x : ℝ) y = dist x y :=
   rfl
 #align nat.dist_cast_real Nat.dist_cast_real
+-/
 
+#print Nat.pairwise_one_le_dist /-
 theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   by
   intro m n hne
@@ -49,26 +56,36 @@ theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   apply Int.pairwise_one_le_dist
   exact_mod_cast hne
 #align nat.pairwise_one_le_dist Nat.pairwise_one_le_dist
+-/
 
+#print Nat.uniformEmbedding_coe_real /-
 theorem uniformEmbedding_coe_real : UniformEmbedding (coe : ℕ → ℝ) :=
   uniformEmbedding_bot_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.uniform_embedding_coe_real Nat.uniformEmbedding_coe_real
+-/
 
+#print Nat.closedEmbedding_coe_real /-
 theorem closedEmbedding_coe_real : ClosedEmbedding (coe : ℕ → ℝ) :=
   closedEmbedding_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.closed_embedding_coe_real Nat.closedEmbedding_coe_real
+-/
 
 instance : MetricSpace ℕ :=
   Nat.uniformEmbedding_coe_real.comapMetricSpace _
 
+#print Nat.preimage_ball /-
 theorem preimage_ball (x : ℕ) (r : ℝ) : coe ⁻¹' ball (x : ℝ) r = ball x r :=
   rfl
 #align nat.preimage_ball Nat.preimage_ball
+-/
 
+#print Nat.preimage_closedBall /-
 theorem preimage_closedBall (x : ℕ) (r : ℝ) : coe ⁻¹' closedBall (x : ℝ) r = closedBall x r :=
   rfl
 #align nat.preimage_closed_ball Nat.preimage_closedBall
+-/
 
+#print Nat.closedBall_eq_Icc /-
 theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r⌉₊ ⌊↑x + r⌋₊ :=
   by
   rcases le_or_lt 0 r with (hr | hr)
@@ -81,6 +98,7 @@ theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r
       ⌊(x : ℝ) + r⌋₊ ≤ ⌊(x : ℝ)⌋₊ := by apply floor_mono; linarith
       _ < ⌈↑x - r⌉₊ := by rw [floor_coe, Nat.lt_ceil]; linarith
 #align nat.closed_ball_eq_Icc Nat.closedBall_eq_Icc
+-/
 
 instance : ProperSpace ℕ :=
   ⟨by

f4758115

bump to nightly-2023-06-09-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

16afdc39

Diff

@@ -80,7 +80,6 @@ theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r
     calc
       ⌊(x : ℝ) + r⌋₊ ≤ ⌊(x : ℝ)⌋₊ := by apply floor_mono; linarith
       _ < ⌈↑x - r⌉₊ := by rw [floor_coe, Nat.lt_ceil]; linarith
-      
 #align nat.closed_ball_eq_Icc Nat.closedBall_eq_Icc
 
 instance : ProperSpace ℕ :=

f4758115

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -29,43 +29,19 @@ namespace Nat
 noncomputable instance : Dist ℕ :=
   ⟨fun x y => dist (x : ℝ) y⟩
 
-/- warning: nat.dist_eq -> Nat.dist_eq is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Nat Nat.hasDist x y) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) y)))
-but is expected to have type
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Nat Nat.instDistNat x y) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (Nat.cast.{0} Real Real.natCast x) (Nat.cast.{0} Real Real.natCast y)))
-Case conversion may be inaccurate. Consider using '#align nat.dist_eq Nat.dist_eqₓ'. -/
 theorem dist_eq (x y : ℕ) : dist x y = |x - y| :=
   rfl
 #align nat.dist_eq Nat.dist_eq
 
-/- warning: nat.dist_coe_int -> Nat.dist_coe_int is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.hasDist ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) y)) (Dist.dist.{0} Nat Nat.hasDist x y)
-but is expected to have type
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.instDistInt (Nat.cast.{0} Int instNatCastInt x) (Nat.cast.{0} Int instNatCastInt y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
-Case conversion may be inaccurate. Consider using '#align nat.dist_coe_int Nat.dist_coe_intₓ'. -/
 theorem dist_coe_int (x y : ℕ) : dist (x : ℤ) (y : ℤ) = dist x y :=
   rfl
 #align nat.dist_coe_int Nat.dist_coe_int
 
-/- warning: nat.dist_cast_real -> Nat.dist_cast_real is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Real (PseudoMetricSpace.toHasDist.{0} Real Real.pseudoMetricSpace) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) y)) (Dist.dist.{0} Nat Nat.hasDist x y)
-but is expected to have type
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Real (PseudoMetricSpace.toDist.{0} Real Real.pseudoMetricSpace) (Nat.cast.{0} Real Real.natCast x) (Nat.cast.{0} Real Real.natCast y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
-Case conversion may be inaccurate. Consider using '#align nat.dist_cast_real Nat.dist_cast_realₓ'. -/
 @[norm_cast, simp]
 theorem dist_cast_real (x y : ℕ) : dist (x : ℝ) y = dist x y :=
   rfl
 #align nat.dist_cast_real Nat.dist_cast_real
 
-/- warning: nat.pairwise_one_le_dist -> Nat.pairwise_one_le_dist is a dubious translation:
-lean 3 declaration is
-  Pairwise.{0} Nat (fun (m : Nat) (n : Nat) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Dist.dist.{0} Nat Nat.hasDist m n))
-but is expected to have type
-  Pairwise.{0} Nat (fun (m : Nat) (n : Nat) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Dist.dist.{0} Nat Nat.instDistNat m n))
-Case conversion may be inaccurate. Consider using '#align nat.pairwise_one_le_dist Nat.pairwise_one_le_distₓ'. -/
 theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   by
   intro m n hne
@@ -74,22 +50,10 @@ theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   exact_mod_cast hne
 #align nat.pairwise_one_le_dist Nat.pairwise_one_le_dist
 
-/- warning: nat.uniform_embedding_coe_real -> Nat.uniformEmbedding_coe_real is a dubious translation:
-lean 3 declaration is
-  UniformEmbedding.{0, 0} Nat Real Nat.uniformSpace (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))))
-but is expected to have type
-  UniformEmbedding.{0, 0} Nat Real instUniformSpaceNat (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (Nat.cast.{0} Real Real.natCast)
-Case conversion may be inaccurate. Consider using '#align nat.uniform_embedding_coe_real Nat.uniformEmbedding_coe_realₓ'. -/
 theorem uniformEmbedding_coe_real : UniformEmbedding (coe : ℕ → ℝ) :=
   uniformEmbedding_bot_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.uniform_embedding_coe_real Nat.uniformEmbedding_coe_real
 
-/- warning: nat.closed_embedding_coe_real -> Nat.closedEmbedding_coe_real is a dubious translation:
-lean 3 declaration is
-  ClosedEmbedding.{0, 0} Nat Real Nat.topologicalSpace (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))))
-but is expected to have type
-  ClosedEmbedding.{0, 0} Nat Real instTopologicalSpaceNat (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (Nat.cast.{0} Real Real.natCast)
-Case conversion may be inaccurate. Consider using '#align nat.closed_embedding_coe_real Nat.closedEmbedding_coe_realₓ'. -/
 theorem closedEmbedding_coe_real : ClosedEmbedding (coe : ℕ → ℝ) :=
   closedEmbedding_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.closed_embedding_coe_real Nat.closedEmbedding_coe_real
@@ -97,32 +61,14 @@ theorem closedEmbedding_coe_real : ClosedEmbedding (coe : ℕ → ℝ) :=
 instance : MetricSpace ℕ :=
   Nat.uniformEmbedding_coe_real.comapMetricSpace _
 
-/- warning: nat.preimage_ball -> Nat.preimage_ball is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast)))) (Metric.ball.{0} Real Real.pseudoMetricSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Metric.ball.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r)
-but is expected to have type
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real (Nat.cast.{0} Real Real.natCast) (Metric.ball.{0} Real Real.pseudoMetricSpace (Nat.cast.{0} Real Real.natCast x) r)) (Metric.ball.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r)
-Case conversion may be inaccurate. Consider using '#align nat.preimage_ball Nat.preimage_ballₓ'. -/
 theorem preimage_ball (x : ℕ) (r : ℝ) : coe ⁻¹' ball (x : ℝ) r = ball x r :=
   rfl
 #align nat.preimage_ball Nat.preimage_ball
 
-/- warning: nat.preimage_closed_ball -> Nat.preimage_closedBall is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast)))) (Metric.closedBall.{0} Real Real.pseudoMetricSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r)
-but is expected to have type
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real (Nat.cast.{0} Real Real.natCast) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (Nat.cast.{0} Real Real.natCast x) r)) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r)
-Case conversion may be inaccurate. Consider using '#align nat.preimage_closed_ball Nat.preimage_closedBallₓ'. -/
 theorem preimage_closedBall (x : ℕ) (r : ℝ) : coe ⁻¹' closedBall (x : ℝ) r = closedBall x r :=
   rfl
 #align nat.preimage_closed_ball Nat.preimage_closedBall
 
-/- warning: nat.closed_ball_eq_Icc -> Nat.closedBall_eq_Icc is a dubious translation:
-lean 3 declaration is
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r) (Set.Icc.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (Nat.ceil.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.linearOrderedRing Real.floorRing) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Nat.floor.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.linearOrderedRing Real.floorRing) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)))
-but is expected to have type
-  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r) (Set.Icc.{0} Nat (PartialOrder.toPreorder.{0} Nat (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (Nat.ceil.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.instLinearOrderedRingReal Real.instFloorRingRealInstLinearOrderedRingReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (Nat.cast.{0} Real Real.natCast x) r)) (Nat.floor.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.instLinearOrderedRingReal Real.instFloorRingRealInstLinearOrderedRingReal) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Nat.cast.{0} Real Real.natCast x) r)))
-Case conversion may be inaccurate. Consider using '#align nat.closed_ball_eq_Icc Nat.closedBall_eq_Iccₓ'. -/
 theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r⌉₊ ⌊↑x + r⌋₊ :=
   by
   rcases le_or_lt 0 r with (hr | hr)

f4758115

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -132,12 +132,8 @@ theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r
     apply (Icc_eq_empty _).symm
     rw [not_le]
     calc
-      ⌊(x : ℝ) + r⌋₊ ≤ ⌊(x : ℝ)⌋₊ := by
-        apply floor_mono
-        linarith
-      _ < ⌈↑x - r⌉₊ := by
-        rw [floor_coe, Nat.lt_ceil]
-        linarith
+      ⌊(x : ℝ) + r⌋₊ ≤ ⌊(x : ℝ)⌋₊ := by apply floor_mono; linarith
+      _ < ⌈↑x - r⌉₊ := by rw [floor_coe, Nat.lt_ceil]; linarith
       
 #align nat.closed_ball_eq_Icc Nat.closedBall_eq_Icc

f4758115

bump to nightly-2023-03-17-10

mathlib commit https://github.com/leanprover-community/mathlib/commit/da3fc4a33ff6bc75f077f691dc94c217b8d41559

11391fe2

Diff

@@ -43,7 +43,7 @@ theorem dist_eq (x y : ℕ) : dist x y = |x - y| :=
 lean 3 declaration is
   forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.hasDist ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) y)) (Dist.dist.{0} Nat Nat.hasDist x y)
 but is expected to have type
-  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.instDistInt (Nat.cast.{0} Int Int.instNatCastInt x) (Nat.cast.{0} Int Int.instNatCastInt y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.instDistInt (Nat.cast.{0} Int instNatCastInt x) (Nat.cast.{0} Int instNatCastInt y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
 Case conversion may be inaccurate. Consider using '#align nat.dist_coe_int Nat.dist_coe_intₓ'. -/
 theorem dist_coe_int (x y : ℕ) : dist (x : ℤ) (y : ℤ) = dist x y :=
   rfl

f4758115

bump to nightly-2023-03-09-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

061741a1

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module topology.instances.nat
-! leanprover-community/mathlib commit 620af85adf5cd4282f962eb060e6e562e3e0c0ba
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Topology.Instances.Int
 /-!
 # Topology on the natural numbers
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The structure of a metric space on `ℕ` is introduced in this file, induced from `ℝ`.
 -/

620af85a

bump to nightly-2023-03-04-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

51aaf796

Diff

@@ -26,19 +26,43 @@ namespace Nat
 noncomputable instance : Dist ℕ :=
   ⟨fun x y => dist (x : ℝ) y⟩
 
+/- warning: nat.dist_eq -> Nat.dist_eq is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Nat Nat.hasDist x y) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) y)))
+but is expected to have type
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Nat Nat.instDistNat x y) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (Nat.cast.{0} Real Real.natCast x) (Nat.cast.{0} Real Real.natCast y)))
+Case conversion may be inaccurate. Consider using '#align nat.dist_eq Nat.dist_eqₓ'. -/
 theorem dist_eq (x y : ℕ) : dist x y = |x - y| :=
   rfl
 #align nat.dist_eq Nat.dist_eq
 
+/- warning: nat.dist_coe_int -> Nat.dist_coe_int is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.hasDist ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) y)) (Dist.dist.{0} Nat Nat.hasDist x y)
+but is expected to have type
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Int Int.instDistInt (Nat.cast.{0} Int Int.instNatCastInt x) (Nat.cast.{0} Int Int.instNatCastInt y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
+Case conversion may be inaccurate. Consider using '#align nat.dist_coe_int Nat.dist_coe_intₓ'. -/
 theorem dist_coe_int (x y : ℕ) : dist (x : ℤ) (y : ℤ) = dist x y :=
   rfl
 #align nat.dist_coe_int Nat.dist_coe_int
 
+/- warning: nat.dist_cast_real -> Nat.dist_cast_real is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Real (PseudoMetricSpace.toHasDist.{0} Real Real.pseudoMetricSpace) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) y)) (Dist.dist.{0} Nat Nat.hasDist x y)
+but is expected to have type
+  forall (x : Nat) (y : Nat), Eq.{1} Real (Dist.dist.{0} Real (PseudoMetricSpace.toDist.{0} Real Real.pseudoMetricSpace) (Nat.cast.{0} Real Real.natCast x) (Nat.cast.{0} Real Real.natCast y)) (Dist.dist.{0} Nat Nat.instDistNat x y)
+Case conversion may be inaccurate. Consider using '#align nat.dist_cast_real Nat.dist_cast_realₓ'. -/
 @[norm_cast, simp]
 theorem dist_cast_real (x y : ℕ) : dist (x : ℝ) y = dist x y :=
   rfl
 #align nat.dist_cast_real Nat.dist_cast_real
 
+/- warning: nat.pairwise_one_le_dist -> Nat.pairwise_one_le_dist is a dubious translation:
+lean 3 declaration is
+  Pairwise.{0} Nat (fun (m : Nat) (n : Nat) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Dist.dist.{0} Nat Nat.hasDist m n))
+but is expected to have type
+  Pairwise.{0} Nat (fun (m : Nat) (n : Nat) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Dist.dist.{0} Nat Nat.instDistNat m n))
+Case conversion may be inaccurate. Consider using '#align nat.pairwise_one_le_dist Nat.pairwise_one_le_distₓ'. -/
 theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   by
   intro m n hne
@@ -47,10 +71,22 @@ theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n :=
   exact_mod_cast hne
 #align nat.pairwise_one_le_dist Nat.pairwise_one_le_dist
 
+/- warning: nat.uniform_embedding_coe_real -> Nat.uniformEmbedding_coe_real is a dubious translation:
+lean 3 declaration is
+  UniformEmbedding.{0, 0} Nat Real Nat.uniformSpace (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))))
+but is expected to have type
+  UniformEmbedding.{0, 0} Nat Real instUniformSpaceNat (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (Nat.cast.{0} Real Real.natCast)
+Case conversion may be inaccurate. Consider using '#align nat.uniform_embedding_coe_real Nat.uniformEmbedding_coe_realₓ'. -/
 theorem uniformEmbedding_coe_real : UniformEmbedding (coe : ℕ → ℝ) :=
   uniformEmbedding_bot_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.uniform_embedding_coe_real Nat.uniformEmbedding_coe_real
 
+/- warning: nat.closed_embedding_coe_real -> Nat.closedEmbedding_coe_real is a dubious translation:
+lean 3 declaration is
+  ClosedEmbedding.{0, 0} Nat Real Nat.topologicalSpace (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))))
+but is expected to have type
+  ClosedEmbedding.{0, 0} Nat Real instTopologicalSpaceNat (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (Nat.cast.{0} Real Real.natCast)
+Case conversion may be inaccurate. Consider using '#align nat.closed_embedding_coe_real Nat.closedEmbedding_coe_realₓ'. -/
 theorem closedEmbedding_coe_real : ClosedEmbedding (coe : ℕ → ℝ) :=
   closedEmbedding_of_pairwise_le_dist zero_lt_one pairwise_one_le_dist
 #align nat.closed_embedding_coe_real Nat.closedEmbedding_coe_real
@@ -58,14 +94,32 @@ theorem closedEmbedding_coe_real : ClosedEmbedding (coe : ℕ → ℝ) :=
 instance : MetricSpace ℕ :=
   Nat.uniformEmbedding_coe_real.comapMetricSpace _
 
+/- warning: nat.preimage_ball -> Nat.preimage_ball is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast)))) (Metric.ball.{0} Real Real.pseudoMetricSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Metric.ball.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r)
+but is expected to have type
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real (Nat.cast.{0} Real Real.natCast) (Metric.ball.{0} Real Real.pseudoMetricSpace (Nat.cast.{0} Real Real.natCast x) r)) (Metric.ball.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r)
+Case conversion may be inaccurate. Consider using '#align nat.preimage_ball Nat.preimage_ballₓ'. -/
 theorem preimage_ball (x : ℕ) (r : ℝ) : coe ⁻¹' ball (x : ℝ) r = ball x r :=
   rfl
 #align nat.preimage_ball Nat.preimage_ball
 
+/- warning: nat.preimage_closed_ball -> Nat.preimage_closedBall is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast)))) (Metric.closedBall.{0} Real Real.pseudoMetricSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r)
+but is expected to have type
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Set.preimage.{0, 0} Nat Real (Nat.cast.{0} Real Real.natCast) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (Nat.cast.{0} Real Real.natCast x) r)) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r)
+Case conversion may be inaccurate. Consider using '#align nat.preimage_closed_ball Nat.preimage_closedBallₓ'. -/
 theorem preimage_closedBall (x : ℕ) (r : ℝ) : coe ⁻¹' closedBall (x : ℝ) r = closedBall x r :=
   rfl
 #align nat.preimage_closed_ball Nat.preimage_closedBall
 
+/- warning: nat.closed_ball_eq_Icc -> Nat.closedBall_eq_Icc is a dubious translation:
+lean 3 declaration is
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.metricSpace) x r) (Set.Icc.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (Nat.ceil.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.linearOrderedRing Real.floorRing) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)) (Nat.floor.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.linearOrderedRing Real.floorRing) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Real (HasLiftT.mk.{1, 1} Nat Real (CoeTCₓ.coe.{1, 1} Nat Real (Nat.castCoe.{0} Real Real.hasNatCast))) x) r)))
+but is expected to have type
+  forall (x : Nat) (r : Real), Eq.{1} (Set.{0} Nat) (Metric.closedBall.{0} Nat (MetricSpace.toPseudoMetricSpace.{0} Nat Nat.instMetricSpaceNat) x r) (Set.Icc.{0} Nat (PartialOrder.toPreorder.{0} Nat (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (Nat.ceil.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.instLinearOrderedRingReal Real.instFloorRingRealInstLinearOrderedRingReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (Nat.cast.{0} Real Real.natCast x) r)) (Nat.floor.{0} Real Real.orderedSemiring (FloorRing.toFloorSemiring.{0} Real Real.instLinearOrderedRingReal Real.instFloorRingRealInstLinearOrderedRingReal) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Nat.cast.{0} Real Real.natCast x) r)))
+Case conversion may be inaccurate. Consider using '#align nat.closed_ball_eq_Icc Nat.closedBall_eq_Iccₓ'. -/
 theorem closedBall_eq_Icc (x : ℕ) (r : ℝ) : closedBall x r = Icc ⌈↑x - r⌉₊ ⌊↑x + r⌋₊ :=
   by
   rcases le_or_lt 0 r with (hr | hr)

620af85a

bump to nightly-2023-03-03-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

99b78e56

Diff

@@ -23,7 +23,7 @@ open Metric Set Filter
 
 namespace Nat
 
-noncomputable instance : HasDist ℕ :=
+noncomputable instance : Dist ℕ :=
   ⟨fun x y => dist (x : ℝ) y⟩
 
 theorem dist_eq (x y : ℕ) : dist x y = |x - y| :=

620af85a

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

620af85a

chore: replace exact_mod_cast tactic with mod_cast elaborator where possible (#8404)

We still have the exact_mod_cast tactic, used in a few places, which somehow (?) works a little bit harder to prevent the expected type influencing the elaboration of the term. I would like to get to the bottom of this, and it will be easier once the only usages of exact_mod_cast are the ones that don't work using the term elaborator by itself.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

693fd795

Diff

@@ -32,8 +32,8 @@ theorem dist_coe_int (x y : ℕ) : dist (x : ℤ) (y : ℤ) = dist x y := rfl
 theorem dist_cast_real (x y : ℕ) : dist (x : ℝ) y = dist x y := rfl
 #align nat.dist_cast_real Nat.dist_cast_real
 
-theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n := fun m n hne =>
-  Int.pairwise_one_le_dist <| by exact_mod_cast hne
+theorem pairwise_one_le_dist : Pairwise fun m n : ℕ => 1 ≤ dist m n := fun _ _ hne =>
+  Int.pairwise_one_le_dist <| mod_cast hne
 #align nat.pairwise_one_le_dist Nat.pairwise_one_le_dist
 
 theorem uniformEmbedding_coe_real : UniformEmbedding ((↑) : ℕ → ℝ) :=
@@ -72,4 +72,3 @@ instance : NoncompactSpace ℕ :=
   noncompactSpace_of_neBot <| by simp [Filter.atTop_neBot]
 
 end Nat
-

620af85a

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 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
-
-! This file was ported from Lean 3 source module topology.instances.nat
-! leanprover-community/mathlib commit 620af85adf5cd4282f962eb060e6e562e3e0c0ba
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Instances.Int
 
+#align_import topology.instances.nat from "leanprover-community/mathlib"@"620af85adf5cd4282f962eb060e6e562e3e0c0ba"
+
 /-!
 # Topology on the natural numbers

620af85a

feat: port Topology.Instances.Nat (#2616)

94a6006b

`topology.instances.nat` ⟷ `Mathlib.Topology.Instances.Nat`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 446

topology.instances.nat ⟷ Mathlib.Topology.Instances.Nat

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 446

`topology.instances.nat` ⟷ `Mathlib.Topology.Instances.Nat`