topology.quasi_separated | 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

5dc6092d

(last sync)

dc6c365e

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

ac34df03

bump to nightly-2023-10-03-06

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

4daf4174

Diff

@@ -80,17 +80,17 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
   convert
     (H (f ⁻¹' U) (f ⁻¹' V) _ (h.continuous.1 _ hU') _ _ (h.continuous.1 _ hV') _).image h.continuous
   · symm
-    rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact (Set.inter_subset_left _ _).trans (hU.trans (Set.image_subset_range _ _))
   · intro x hx; rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]; exact hU hx
   · rw [h.is_compact_iff_is_compact_image]
     convert hU''
-    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hU.trans (Set.image_subset_range _ _)
   · intro x hx; rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]; exact hV hx
   · rw [h.is_compact_iff_is_compact_image]
     convert hV''
-    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hV.trans (Set.image_subset_range _ _)
 #align is_quasi_separated.image_of_embedding IsQuasiSeparated.image_of_embedding
 -/

ac34df03

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathbin.Topology.SubsetProperties
-import Mathbin.Topology.Separation
-import Mathbin.Topology.NoetherianSpace
+import Topology.SubsetProperties
+import Topology.Separation
+import Topology.NoetherianSpace
 
 #align_import topology.quasi_separated from "leanprover-community/mathlib"@"ac34df03f74e6f797efd6991df2e3b7f7d8d33e0"

ac34df03

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module topology.quasi_separated
-! leanprover-community/mathlib commit ac34df03f74e6f797efd6991df2e3b7f7d8d33e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.SubsetProperties
 import Mathbin.Topology.Separation
 import Mathbin.Topology.NoetherianSpace
 
+#align_import topology.quasi_separated from "leanprover-community/mathlib"@"ac34df03f74e6f797efd6991df2e3b7f7d8d33e0"
+
 /-!
 # Quasi-separated spaces

ac34df03

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -76,6 +76,7 @@ theorem isQuasiSeparated_univ {α : Type _} [TopologicalSpace α] [QuasiSeparate
 #align is_quasi_separated_univ isQuasiSeparated_univ
 -/
 
+#print IsQuasiSeparated.image_of_embedding /-
 theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s) (h : Embedding f) :
     IsQuasiSeparated (f '' s) := by
   intro U V hU hU' hU'' hV hV' hV''
@@ -95,7 +96,9 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
     rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
     exact hV.trans (Set.image_subset_range _ _)
 #align is_quasi_separated.image_of_embedding IsQuasiSeparated.image_of_embedding
+-/
 
+#print OpenEmbedding.isQuasiSeparated_iff /-
 theorem OpenEmbedding.isQuasiSeparated_iff (h : OpenEmbedding f) {s : Set α} :
     IsQuasiSeparated s ↔ IsQuasiSeparated (f '' s) :=
   by
@@ -106,6 +109,7 @@ theorem OpenEmbedding.isQuasiSeparated_iff (h : OpenEmbedding f) {s : Set α} :
     H (f '' U) (f '' V) (Set.image_subset _ hU) (h.is_open_map _ hU') (hU''.image h.continuous)
       (Set.image_subset _ hV) (h.is_open_map _ hV') (hV''.image h.continuous)
 #align open_embedding.is_quasi_separated_iff OpenEmbedding.isQuasiSeparated_iff
+-/
 
 #print isQuasiSeparated_iff_quasiSeparatedSpace /-
 theorem isQuasiSeparated_iff_quasiSeparatedSpace (s : Set α) (hs : IsOpen s) :
@@ -144,9 +148,11 @@ theorem IsQuasiSeparated.of_quasiSeparatedSpace (s : Set α) [QuasiSeparatedSpac
 #align is_quasi_separated.of_quasi_separated_space IsQuasiSeparated.of_quasiSeparatedSpace
 -/
 
+#print QuasiSeparatedSpace.of_openEmbedding /-
 theorem QuasiSeparatedSpace.of_openEmbedding (h : OpenEmbedding f) [QuasiSeparatedSpace β] :
     QuasiSeparatedSpace α :=
   isQuasiSeparated_univ_iff.mp
     (h.isQuasiSeparated_iff.mpr <| IsQuasiSeparated.of_quasiSeparatedSpace _)
 #align quasi_separated_space.of_open_embedding QuasiSeparatedSpace.of_openEmbedding
+-/

ac34df03

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -79,8 +79,8 @@ theorem isQuasiSeparated_univ {α : Type _} [TopologicalSpace α] [QuasiSeparate
 theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s) (h : Embedding f) :
     IsQuasiSeparated (f '' s) := by
   intro U V hU hU' hU'' hV hV' hV''
-  convert(H (f ⁻¹' U) (f ⁻¹' V) _ (h.continuous.1 _ hU') _ _ (h.continuous.1 _ hV') _).image
-      h.continuous
+  convert
+    (H (f ⁻¹' U) (f ⁻¹' V) _ (h.continuous.1 _ hU') _ _ (h.continuous.1 _ hV') _).image h.continuous
   · symm
     rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
     exact (Set.inter_subset_left _ _).trans (hU.trans (Set.image_subset_range _ _))

ac34df03

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -76,12 +76,6 @@ theorem isQuasiSeparated_univ {α : Type _} [TopologicalSpace α] [QuasiSeparate
 #align is_quasi_separated_univ isQuasiSeparated_univ
 -/
 
-/- warning: is_quasi_separated.image_of_embedding -> IsQuasiSeparated.image_of_embedding is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.{u2} β] {f : α -> β} {s : Set.{u1} α}, (IsQuasiSeparated.{u1} α _inst_1 s) -> (Embedding.{u1, u2} α β _inst_1 _inst_2 f) -> (IsQuasiSeparated.{u2} β _inst_2 (Set.image.{u1, u2} α β f s))
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} α] [_inst_2 : TopologicalSpace.{u1} β] {f : α -> β} {s : Set.{u2} α}, (IsQuasiSeparated.{u2} α _inst_1 s) -> (Embedding.{u2, u1} α β _inst_1 _inst_2 f) -> (IsQuasiSeparated.{u1} β _inst_2 (Set.image.{u2, u1} α β f s))
-Case conversion may be inaccurate. Consider using '#align is_quasi_separated.image_of_embedding IsQuasiSeparated.image_of_embeddingₓ'. -/
 theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s) (h : Embedding f) :
     IsQuasiSeparated (f '' s) := by
   intro U V hU hU' hU'' hV hV' hV''
@@ -102,12 +96,6 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
     exact hV.trans (Set.image_subset_range _ _)
 #align is_quasi_separated.image_of_embedding IsQuasiSeparated.image_of_embedding
 
-/- warning: open_embedding.is_quasi_separated_iff -> OpenEmbedding.isQuasiSeparated_iff is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.{u2} β] {f : α -> β}, (OpenEmbedding.{u1, u2} α β _inst_1 _inst_2 f) -> (forall {s : Set.{u1} α}, Iff (IsQuasiSeparated.{u1} α _inst_1 s) (IsQuasiSeparated.{u2} β _inst_2 (Set.image.{u1, u2} α β f s)))
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} α] [_inst_2 : TopologicalSpace.{u1} β] {f : α -> β}, (OpenEmbedding.{u2, u1} α β _inst_1 _inst_2 f) -> (forall {s : Set.{u2} α}, Iff (IsQuasiSeparated.{u2} α _inst_1 s) (IsQuasiSeparated.{u1} β _inst_2 (Set.image.{u2, u1} α β f s)))
-Case conversion may be inaccurate. Consider using '#align open_embedding.is_quasi_separated_iff OpenEmbedding.isQuasiSeparated_iffₓ'. -/
 theorem OpenEmbedding.isQuasiSeparated_iff (h : OpenEmbedding f) {s : Set α} :
     IsQuasiSeparated s ↔ IsQuasiSeparated (f '' s) :=
   by
@@ -156,12 +144,6 @@ theorem IsQuasiSeparated.of_quasiSeparatedSpace (s : Set α) [QuasiSeparatedSpac
 #align is_quasi_separated.of_quasi_separated_space IsQuasiSeparated.of_quasiSeparatedSpace
 -/
 
-/- warning: quasi_separated_space.of_open_embedding -> QuasiSeparatedSpace.of_openEmbedding is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.{u2} β] {f : α -> β}, (OpenEmbedding.{u1, u2} α β _inst_1 _inst_2 f) -> (forall [_inst_3 : QuasiSeparatedSpace.{u2} β _inst_2], QuasiSeparatedSpace.{u1} α _inst_1)
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} α] [_inst_2 : TopologicalSpace.{u1} β] {f : α -> β}, (OpenEmbedding.{u2, u1} α β _inst_1 _inst_2 f) -> (forall [_inst_3 : QuasiSeparatedSpace.{u1} β _inst_2], QuasiSeparatedSpace.{u2} α _inst_1)
-Case conversion may be inaccurate. Consider using '#align quasi_separated_space.of_open_embedding QuasiSeparatedSpace.of_openEmbeddingₓ'. -/
 theorem QuasiSeparatedSpace.of_openEmbedding (h : OpenEmbedding f) [QuasiSeparatedSpace β] :
     QuasiSeparatedSpace α :=
   isQuasiSeparated_univ_iff.mp

ac34df03

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -90,16 +90,12 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
   · symm
     rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
     exact (Set.inter_subset_left _ _).trans (hU.trans (Set.image_subset_range _ _))
-  · intro x hx
-    rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]
-    exact hU hx
+  · intro x hx; rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]; exact hU hx
   · rw [h.is_compact_iff_is_compact_image]
     convert hU''
     rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
     exact hU.trans (Set.image_subset_range _ _)
-  · intro x hx
-    rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]
-    exact hV hx
+  · intro x hx; rw [← (h.inj.inj_on _).mem_image_iff (Set.subset_univ _) trivial]; exact hV hx
   · rw [h.is_compact_iff_is_compact_image]
     convert hV''
     rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]

ac34df03

bump to nightly-2023-03-17-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

c85864d4

Diff

@@ -85,8 +85,8 @@ Case conversion may be inaccurate. Consider using '#align is_quasi_separated.ima
 theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s) (h : Embedding f) :
     IsQuasiSeparated (f '' s) := by
   intro U V hU hU' hU'' hV hV' hV''
-  convert
-    (H (f ⁻¹' U) (f ⁻¹' V) _ (h.continuous.1 _ hU') _ _ (h.continuous.1 _ hV') _).image h.continuous
+  convert(H (f ⁻¹' U) (f ⁻¹' V) _ (h.continuous.1 _ hU') _ _ (h.continuous.1 _ hV') _).image
+      h.continuous
   · symm
     rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
     exact (Set.inter_subset_left _ _).trans (hU.trans (Set.image_subset_range _ _))

ac34df03

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

5dc6092d

style: replace '.-/' by '. -/' (#11938)

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

3556ded2

Diff

@@ -45,7 +45,7 @@ def IsQuasiSeparated (s : Set α) : Prop :=
 subsets are still compact. -/
 @[mk_iff]
 class QuasiSeparatedSpace (α : Type*) [TopologicalSpace α] : Prop where
-  /-- The intersection of two open compact subsets of a quasi-separated space is compact.-/
+  /-- The intersection of two open compact subsets of a quasi-separated space is compact. -/
   inter_isCompact :
     ∀ U V : Set α, IsOpen U → IsCompact U → IsOpen V → IsCompact V → IsCompact (U ∩ V)
 #align quasi_separated_space QuasiSeparatedSpace

5dc6092d

refactor: decapitalize names in @[mk_iff] (#9378)

@[mk_iff] class MyPred now generates myPred_iff, not MyPred_iff
add Lean.Name.decapitalize
fix indentation and a few typos in the docs/comments.

Partially addresses issue #9129

5192777c

Diff

@@ -43,7 +43,6 @@ def IsQuasiSeparated (s : Set α) : Prop :=
 
 /-- A topological space is quasi-separated if the intersections of any pairs of compact open
 subsets are still compact. -/
--- Porting note: mk_iff currently generates `QuasiSeparatedSpace_iff`. Undesirable capitalization?
 @[mk_iff]
 class QuasiSeparatedSpace (α : Type*) [TopologicalSpace α] : Prop where
   /-- The intersection of two open compact subsets of a quasi-separated space is compact.-/
@@ -53,7 +52,7 @@ class QuasiSeparatedSpace (α : Type*) [TopologicalSpace α] : Prop where
 
 theorem isQuasiSeparated_univ_iff {α : Type*} [TopologicalSpace α] :
     IsQuasiSeparated (Set.univ : Set α) ↔ QuasiSeparatedSpace α := by
-  rw [QuasiSeparatedSpace_iff]
+  rw [quasiSeparatedSpace_iff]
   simp [IsQuasiSeparated]
 #align is_quasi_separated_univ_iff isQuasiSeparated_univ_iff

5dc6092d

feat: sigma-compact sets (#7576)

Define sigma-compact subsets of a topological space and show their basic properties.

compact sets are sigma-compact
countable unions of (sigma-)compact sets are sigma-compact
closed subsets of sigma-compact sets are sigma-compact.

Relate them to sigma-compact space: a set is sigma-compact iff it is a sigma-compact space (w.r.t. the subspace topology).

In a later PR, we'll show that sigma-compact measure zero sets are nowhere dense.

depends on: #7528

Co-authored-by: David Loeffler <d.loeffler.01@cantab.net> Co-authored-by: grunweg <grunweg@posteo.de>

eece5add

Diff

@@ -74,14 +74,14 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
   · intro x hx
     rw [← (h.inj.injOn _).mem_image_iff (Set.subset_univ _) trivial]
     exact hU hx
-  · rw [h.isCompact_iff_isCompact_image]
+  · rw [h.isCompact_iff]
     convert hU''
     rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hU.trans (Set.image_subset_range _ _)
   · intro x hx
     rw [← (h.inj.injOn _).mem_image_iff (Set.subset_univ _) trivial]
     exact hV hx
-  · rw [h.isCompact_iff_isCompact_image]
+  · rw [h.isCompact_iff]
     convert hV''
     rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hV.trans (Set.image_subset_range _ _)
@@ -91,7 +91,7 @@ theorem OpenEmbedding.isQuasiSeparated_iff (h : OpenEmbedding f) {s : Set α} :
     IsQuasiSeparated s ↔ IsQuasiSeparated (f '' s) := by
   refine' ⟨fun hs => hs.image_of_embedding h.toEmbedding, _⟩
   intro H U V hU hU' hU'' hV hV' hV''
-  rw [h.toEmbedding.isCompact_iff_isCompact_image, Set.image_inter h.inj]
+  rw [h.toEmbedding.isCompact_iff, Set.image_inter h.inj]
   exact
     H (f '' U) (f '' V) (Set.image_subset _ hU) (h.isOpenMap _ hU') (hU''.image h.continuous)
       (Set.image_subset _ hV) (h.isOpenMap _ hV') (hV''.image h.continuous)

5dc6092d

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/.

13444d80

Diff

@@ -3,7 +3,6 @@ Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathlib.Topology.SubsetProperties
 import Mathlib.Topology.Separation
 import Mathlib.Topology.NoetherianSpace

5dc6092d

chore: Make Set/Finset lemmas match lattice lemma names (#7378)

Rename union_eq_left_iff_subset to union_eq_left to match sup_eq_left. Similarly for the right and inter versions.

aef04106

Diff

@@ -70,21 +70,21 @@ theorem IsQuasiSeparated.image_of_embedding {s : Set α} (H : IsQuasiSeparated s
     (H (f ⁻¹' U) (f ⁻¹' V)
       ?_ (h.continuous.1 _ hU') ?_ ?_ (h.continuous.1 _ hV') ?_).image h.continuous
   · symm
-    rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [← Set.preimage_inter, Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact (Set.inter_subset_left _ _).trans (hU.trans (Set.image_subset_range _ _))
   · intro x hx
     rw [← (h.inj.injOn _).mem_image_iff (Set.subset_univ _) trivial]
     exact hU hx
   · rw [h.isCompact_iff_isCompact_image]
     convert hU''
-    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hU.trans (Set.image_subset_range _ _)
   · intro x hx
     rw [← (h.inj.injOn _).mem_image_iff (Set.subset_univ _) trivial]
     exact hV hx
   · rw [h.isCompact_iff_isCompact_image]
     convert hV''
-    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left_iff_subset]
+    rw [Set.image_preimage_eq_inter_range, Set.inter_eq_left]
     exact hV.trans (Set.image_subset_range _ _)
 #align is_quasi_separated.image_of_embedding IsQuasiSeparated.image_of_embedding

5dc6092d

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.

32de3f67

Diff

@@ -32,7 +32,7 @@ of compact open subsets are still compact.
 
 open TopologicalSpace
 
-variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {f : α → β}
+variable {α β : Type*} [TopologicalSpace α] [TopologicalSpace β] {f : α → β}
 
 /-- A subset `s` of a topological space is quasi-separated if the intersections of any pairs of
 compact open subsets of `s` are still compact.
@@ -46,19 +46,19 @@ def IsQuasiSeparated (s : Set α) : Prop :=
 subsets are still compact. -/
 -- Porting note: mk_iff currently generates `QuasiSeparatedSpace_iff`. Undesirable capitalization?
 @[mk_iff]
-class QuasiSeparatedSpace (α : Type _) [TopologicalSpace α] : Prop where
+class QuasiSeparatedSpace (α : Type*) [TopologicalSpace α] : Prop where
   /-- The intersection of two open compact subsets of a quasi-separated space is compact.-/
   inter_isCompact :
     ∀ U V : Set α, IsOpen U → IsCompact U → IsOpen V → IsCompact V → IsCompact (U ∩ V)
 #align quasi_separated_space QuasiSeparatedSpace
 
-theorem isQuasiSeparated_univ_iff {α : Type _} [TopologicalSpace α] :
+theorem isQuasiSeparated_univ_iff {α : Type*} [TopologicalSpace α] :
     IsQuasiSeparated (Set.univ : Set α) ↔ QuasiSeparatedSpace α := by
   rw [QuasiSeparatedSpace_iff]
   simp [IsQuasiSeparated]
 #align is_quasi_separated_univ_iff isQuasiSeparated_univ_iff
 
-theorem isQuasiSeparated_univ {α : Type _} [TopologicalSpace α] [QuasiSeparatedSpace α] :
+theorem isQuasiSeparated_univ {α : Type*} [TopologicalSpace α] [QuasiSeparatedSpace α] :
     IsQuasiSeparated (Set.univ : Set α) :=
   isQuasiSeparated_univ_iff.mpr inferInstance
 #align is_quasi_separated_univ isQuasiSeparated_univ

5dc6092d

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module topology.quasi_separated
-! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.SubsetProperties
 import Mathlib.Topology.Separation
 import Mathlib.Topology.NoetherianSpace
 
+#align_import topology.quasi_separated from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"
+
 /-!
 # Quasi-separated spaces

5dc6092d

chore: update SHAs after #19153 was reverted (#5712)

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

6c35041e

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 
 ! This file was ported from Lean 3 source module topology.quasi_separated
-! leanprover-community/mathlib commit dc6c365e751e34d100e80fe6e314c3c3e0fd2988
+! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

dc6c365e

feat port Topology.QuasiSeparated (#2261)

54d77d95

`topology.quasi_separated` ⟷ `Mathlib.Topology.QuasiSeparated`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 323

topology.quasi_separated ⟷ Mathlib.Topology.QuasiSeparated

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 323

`topology.quasi_separated` ⟷ `Mathlib.Topology.QuasiSeparated`