geometry.manifold.metrizableMathlib.Geometry.Manifold.Metrizable

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
 import Geometry.Manifold.SmoothManifoldWithCorners
-import Topology.Paracompact
-import Topology.MetricSpace.Metrizable
+import Topology.Compactness.Paracompact
+import Topology.Metrizable.Basic
 
 #align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
 
Diff
@@ -3,9 +3,9 @@ Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Geometry.Manifold.SmoothManifoldWithCorners
-import Mathbin.Topology.Paracompact
-import Mathbin.Topology.MetricSpace.Metrizable
+import Geometry.Manifold.SmoothManifoldWithCorners
+import Topology.Paracompact
+import Topology.MetricSpace.Metrizable
 
 #align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
 
Diff
@@ -30,7 +30,7 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E]
     (M : Type _) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
   haveI := I.locally_compact; haveI := ChartedSpace.locallyCompactSpace H M
-  haveI : NormalSpace M := normal_of_paracompact_t2
+  haveI : NormalSpace M := T4Space.of_paracompactSpace_t2Space
   haveI := I.second_countable_topology
   haveI := ChartedSpace.secondCountable_of_sigma_compact H M
   exact metrizable_space_of_t3_second_countable M
Diff
@@ -29,7 +29,7 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E]
     [FiniteDimensional ℝ E] {H : Type _} [TopologicalSpace H] (I : ModelWithCorners ℝ E H)
     (M : Type _) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
-  haveI := I.locally_compact; haveI := ChartedSpace.locallyCompact H M
+  haveI := I.locally_compact; haveI := ChartedSpace.locallyCompactSpace H M
   haveI : NormalSpace M := normal_of_paracompact_t2
   haveI := I.second_countable_topology
   haveI := ChartedSpace.secondCountable_of_sigma_compact H M
Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module geometry.manifold.metrizable
-! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.SmoothManifoldWithCorners
 import Mathbin.Topology.Paracompact
 import Mathbin.Topology.MetricSpace.Metrizable
 
+#align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
 /-!
 # Metrizability of a σ-compact manifold
 
Diff
@@ -25,6 +25,7 @@ vector space is metrizable.
 
 open TopologicalSpace
 
+#print ManifoldWithCorners.metrizableSpace /-
 /-- A σ-compact Hausdorff topological manifold over a finite dimensional real vector space is
 metrizable. -/
 theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
@@ -37,4 +38,5 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E]
   haveI := ChartedSpace.secondCountable_of_sigma_compact H M
   exact metrizable_space_of_t3_second_countable M
 #align manifold_with_corners.metrizable_space ManifoldWithCorners.metrizableSpace
+-/
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module geometry.manifold.metrizable
-! leanprover-community/mathlib commit d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Topology.MetricSpace.Metrizable
 /-!
 # Metrizability of a σ-compact manifold
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we show that a σ-compact Hausdorff topological manifold over a finite dimensional real
 vector space is metrizable.
 -/
Diff
@@ -28,10 +28,10 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E]
     [FiniteDimensional ℝ E] {H : Type _} [TopologicalSpace H] (I : ModelWithCorners ℝ E H)
     (M : Type _) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
-  haveI := I.locally_compact; haveI := ChartedSpace.locally_compact H M
+  haveI := I.locally_compact; haveI := ChartedSpace.locallyCompact H M
   haveI : NormalSpace M := normal_of_paracompact_t2
   haveI := I.second_countable_topology
-  haveI := ChartedSpace.second_countable_of_sigma_compact H M
+  haveI := ChartedSpace.secondCountable_of_sigma_compact H M
   exact metrizable_space_of_t3_second_countable M
 #align manifold_with_corners.metrizable_space ManifoldWithCorners.metrizableSpace
 

Changes in mathlib4

mathlib3
mathlib4
chore: split Topology.MetricSpace.Metrizable* (#7912)

Move

  • basic definitions to Topology.Metrizable.Basic,
  • Urysohn's metrization theorem to `Topology.Metrizable.Urysohns', and
  • metrizability of a uniform space with countably generated uniformity to Topology.Metrizable.Uniform.

The next step is to redefine Metrizable as "uniformizable with countably generated uniformity" and make this definition available much earlier.

Diff
@@ -5,7 +5,7 @@ Authors: Yury Kudryashov
 -/
 import Mathlib.Geometry.Manifold.SmoothManifoldWithCorners
 import Mathlib.Topology.Compactness.Paracompact
-import Mathlib.Topology.MetricSpace.Metrizable
+import Mathlib.Topology.Metrizable.Urysohn
 
 #align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1"
 
chore(Topology/SubsetProperties): Refactor SubsetProperties.lean (#7628)

Split up the 2000-line Topology/SubsetProperties.lean into several smaller files. Not only is it too huge, but the name is very unhelpful, since actually about 90% of the file is about compactness; I've moved this material into various files inside a new subdirectory Topology/Compactness/.

Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
 import Mathlib.Geometry.Manifold.SmoothManifoldWithCorners
-import Mathlib.Topology.Paracompact
+import Mathlib.Topology.Compactness.Paracompact
 import Mathlib.Topology.MetricSpace.Metrizable
 
 #align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1"
refactor: split NormalSpace into NormalSpace and T4Space (#7072)
  • Rename NormalSpace to T4Space.
  • Add NormalSpace, a version without the T1Space assumption.
  • Adjust some theorems.
  • Supersedes thus closes #6892.
  • Add some instance cycles, see #2030
Diff
@@ -26,7 +26,6 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type*} [NormedAddCommGroup E] [
     (M : Type*) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
   haveI := I.locallyCompactSpace; haveI := ChartedSpace.locallyCompactSpace H M
-  haveI : NormalSpace M := normal_of_paracompact_t2
   haveI := I.secondCountableTopology
   haveI := ChartedSpace.secondCountable_of_sigma_compact H M
   exact metrizableSpace_of_t3_second_countable M
chore: rename 2 lemmas (#6767)
  • ChartedSpace.locallyCompactChartedSpace.locallyCompactSpace
  • ModelWithCorners.locally_compactModelWithCorners.locallyCompactSpace
Diff
@@ -25,7 +25,7 @@ theorem ManifoldWithCorners.metrizableSpace {E : Type*} [NormedAddCommGroup E] [
     [FiniteDimensional ℝ E] {H : Type*} [TopologicalSpace H] (I : ModelWithCorners ℝ E H)
     (M : Type*) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
-  haveI := I.locally_compact; haveI := ChartedSpace.locallyCompact H M
+  haveI := I.locallyCompactSpace; haveI := ChartedSpace.locallyCompactSpace H M
   haveI : NormalSpace M := normal_of_paracompact_t2
   haveI := I.secondCountableTopology
   haveI := ChartedSpace.secondCountable_of_sigma_compact H M
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
@@ -21,9 +21,9 @@ open TopologicalSpace
 
 /-- A σ-compact Hausdorff topological manifold over a finite dimensional real vector space is
 metrizable. -/
-theorem ManifoldWithCorners.metrizableSpace {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
-    [FiniteDimensional ℝ E] {H : Type _} [TopologicalSpace H] (I : ModelWithCorners ℝ E H)
-    (M : Type _) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
+theorem ManifoldWithCorners.metrizableSpace {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
+    [FiniteDimensional ℝ E] {H : Type*} [TopologicalSpace H] (I : ModelWithCorners ℝ E H)
+    (M : Type*) [TopologicalSpace M] [ChartedSpace H M] [SigmaCompactSpace M] [T2Space M] :
     MetrizableSpace M := by
   haveI := I.locally_compact; haveI := ChartedSpace.locallyCompact H M
   haveI : NormalSpace M := normal_of_paracompact_t2
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
@@ -2,16 +2,13 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module geometry.manifold.metrizable
-! leanprover-community/mathlib commit d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Geometry.Manifold.SmoothManifoldWithCorners
 import Mathlib.Topology.Paracompact
 import Mathlib.Topology.MetricSpace.Metrizable
 
+#align_import geometry.manifold.metrizable from "leanprover-community/mathlib"@"d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1"
+
 /-!
 # Metrizability of a σ-compact manifold
 
feat: port Geometry.Manifold.Metrizable (#4679)

Dependencies 12 + 887

888 files ported (98.7%)
393468 lines ported (98.6%)
Show graph

The unported dependencies are

The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file