topology.uniform_space.complete_separated

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

b363547b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

0a0ec350

bump to nightly-2024-03-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

22f01ce4

Diff

@@ -27,7 +27,7 @@ variable {α : Type _}
 
 #print IsComplete.isClosed /-
 --In a separated space, a complete set is closed
-theorem IsComplete.isClosed [UniformSpace α] [SeparatedSpace α] {s : Set α} (h : IsComplete s) :
+theorem IsComplete.isClosed [UniformSpace α] [T0Space α] {s : Set α} (h : IsComplete s) :
     IsClosed s :=
   isClosed_iff_clusterPt.2 fun a ha => by
     let f := 𝓝[s] a
@@ -43,7 +43,7 @@ open Filter
 
 variable [TopologicalSpace α] {β : Type _} [TopologicalSpace β]
 
-variable {γ : Type _} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
+variable {γ : Type _} [UniformSpace γ] [CompleteSpace γ] [T0Space γ]
 
 #print DenseInducing.continuous_extend_of_cauchy /-
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)

0a0ec350

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) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Topology.UniformSpace.Cauchy
-import Mathbin.Topology.UniformSpace.Separation
-import Mathbin.Topology.DenseEmbedding
+import Topology.UniformSpace.Cauchy
+import Topology.UniformSpace.Separation
+import Topology.DenseEmbedding
 
 #align_import topology.uniform_space.complete_separated from "leanprover-community/mathlib"@"0a0ec35061ed9960bf0e7ffb0335f44447b58977"

0a0ec350

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) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module topology.uniform_space.complete_separated
-! leanprover-community/mathlib commit 0a0ec35061ed9960bf0e7ffb0335f44447b58977
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.UniformSpace.Cauchy
 import Mathbin.Topology.UniformSpace.Separation
 import Mathbin.Topology.DenseEmbedding
 
+#align_import topology.uniform_space.complete_separated from "leanprover-community/mathlib"@"0a0ec35061ed9960bf0e7ffb0335f44447b58977"
+
 /-!
 # Theory of complete separated uniform spaces.

0a0ec350

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -48,10 +48,12 @@ variable [TopologicalSpace α] {β : Type _} [TopologicalSpace β]
 
 variable {γ : Type _} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
 
+#print DenseInducing.continuous_extend_of_cauchy /-
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)
     (h : ∀ b : β, Cauchy (map f (comap e <| 𝓝 b))) : Continuous (de.extend f) :=
   de.continuous_extend fun b => CompleteSpace.complete (h b)
 #align dense_inducing.continuous_extend_of_cauchy DenseInducing.continuous_extend_of_cauchy
+-/
 
 end DenseInducing

0a0ec350

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -24,7 +24,7 @@ This file is for elementary lemmas that depend on both Cauchy filters and separa
 
 open Filter
 
-open Topology Filter
+open scoped Topology Filter
 
 variable {α : Type _}

0a0ec350

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -48,12 +48,6 @@ variable [TopologicalSpace α] {β : Type _} [TopologicalSpace β]
 
 variable {γ : Type _} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
 
-/- warning: dense_inducing.continuous_extend_of_cauchy -> DenseInducing.continuous_extend_of_cauchy is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] {β : Type.{u2}} [_inst_2 : TopologicalSpace.{u2} β] {γ : Type.{u3}} [_inst_3 : UniformSpace.{u3} γ] [_inst_4 : CompleteSpace.{u3} γ _inst_3] [_inst_5 : SeparatedSpace.{u3} γ _inst_3] {e : α -> β} {f : α -> γ} (de : DenseInducing.{u1, u2} α β _inst_1 _inst_2 e), (forall (b : β), Cauchy.{u3} γ _inst_3 (Filter.map.{u1, u3} α γ f (Filter.comap.{u1, u2} α β e (nhds.{u2} β _inst_2 b)))) -> (Continuous.{u2, u3} β γ _inst_2 (UniformSpace.toTopologicalSpace.{u3} γ _inst_3) (DenseInducing.extend.{u1, u2, u3} α β γ _inst_1 _inst_2 e (UniformSpace.toTopologicalSpace.{u3} γ _inst_3) de f))
-but is expected to have type
-  forall {α : Type.{u3}} [_inst_1 : TopologicalSpace.{u3} α] {β : Type.{u2}} [_inst_2 : TopologicalSpace.{u2} β] {γ : Type.{u1}} [_inst_3 : UniformSpace.{u1} γ] [_inst_4 : CompleteSpace.{u1} γ _inst_3] [_inst_5 : SeparatedSpace.{u1} γ _inst_3] {e : α -> β} {f : α -> γ} (de : DenseInducing.{u3, u2} α β _inst_1 _inst_2 e), (forall (b : β), Cauchy.{u1} γ _inst_3 (Filter.map.{u3, u1} α γ f (Filter.comap.{u3, u2} α β e (nhds.{u2} β _inst_2 b)))) -> (Continuous.{u2, u1} β γ _inst_2 (UniformSpace.toTopologicalSpace.{u1} γ _inst_3) (DenseInducing.extend.{u3, u2, u1} α β γ _inst_1 _inst_2 e (UniformSpace.toTopologicalSpace.{u1} γ _inst_3) de f))
-Case conversion may be inaccurate. Consider using '#align dense_inducing.continuous_extend_of_cauchy DenseInducing.continuous_extend_of_cauchyₓ'. -/
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)
     (h : ∀ b : β, Cauchy (map f (comap e <| 𝓝 b))) : Continuous (de.extend f) :=
   de.continuous_extend fun b => CompleteSpace.complete (h b)

0a0ec350

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

b363547b

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -37,7 +37,6 @@ namespace DenseInducing
 open Filter
 
 variable [TopologicalSpace α] {β : Type*} [TopologicalSpace β]
-
 variable {γ : Type*} [UniformSpace γ] [CompleteSpace γ] [T0Space γ]
 
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)

b363547b

refactor(UniformSpace): drop separationRel (#10644)

We had duplicated API between topological spaces and uniform spaces. In this PR I mostly deduplicate it with some exceptions:

SeparationQuotient.lift' and SeparationQuotient.map are leftovers from the old version that are designed to work with uniform spaces;
probably, some theorems/instances still assume UniformSpace when TopologicalSpace would work.

Outside of UniformSpace/Separation, I mostly changed SeparatedSpace to T0Space and separationRel to Inseparable. I also rewrote a few proofs that were broken by the API change.

Fixes #2031

38155ec4

Diff

@@ -23,7 +23,7 @@ open Topology Filter
 variable {α : Type*}
 
 /-- In a separated space, a complete set is closed. -/
-theorem IsComplete.isClosed [UniformSpace α] [SeparatedSpace α] {s : Set α} (h : IsComplete s) :
+theorem IsComplete.isClosed [UniformSpace α] [T0Space α] {s : Set α} (h : IsComplete s) :
     IsClosed s :=
   isClosed_iff_clusterPt.2 fun a ha => by
     let f := 𝓝[s] a
@@ -38,7 +38,7 @@ open Filter
 
 variable [TopologicalSpace α] {β : Type*} [TopologicalSpace β]
 
-variable {γ : Type*} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
+variable {γ : Type*} [UniformSpace γ] [CompleteSpace γ] [T0Space γ]
 
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)
     (h : ∀ b : β, Cauchy (map f (comap e <| 𝓝 b))) : Continuous (de.extend f) :=

b363547b

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

@@ -20,7 +20,7 @@ open Filter
 
 open Topology Filter
 
-variable {α : Type _}
+variable {α : Type*}
 
 /-- In a separated space, a complete set is closed. -/
 theorem IsComplete.isClosed [UniformSpace α] [SeparatedSpace α] {s : Set α} (h : IsComplete s) :
@@ -36,9 +36,9 @@ namespace DenseInducing
 
 open Filter
 
-variable [TopologicalSpace α] {β : Type _} [TopologicalSpace β]
+variable [TopologicalSpace α] {β : Type*} [TopologicalSpace β]
 
-variable {γ : Type _} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
+variable {γ : Type*} [UniformSpace γ] [CompleteSpace γ] [SeparatedSpace γ]
 
 theorem continuous_extend_of_cauchy {e : α → β} {f : α → γ} (de : DenseInducing e)
     (h : ∀ b : β, Cauchy (map f (comap e <| 𝓝 b))) : Continuous (de.extend f) :=

b363547b

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) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module topology.uniform_space.complete_separated
-! leanprover-community/mathlib commit b363547b3113d350d053abdf2884e9850a56b205
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.UniformSpace.Cauchy
 import Mathlib.Topology.UniformSpace.Separation
 import Mathlib.Topology.DenseEmbedding
 
+#align_import topology.uniform_space.complete_separated from "leanprover-community/mathlib"@"b363547b3113d350d053abdf2884e9850a56b205"
+
 /-!
 # Theory of complete separated uniform spaces.

b363547b

feat: port Topology.UniformSpace.CompleteSeparated (#2063)

713bcc99

`topology.uniform_space.complete_separated` ⟷ `Mathlib.Topology.UniformSpace.CompleteSeparated`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 310

topology.uniform_space.complete_separated ⟷ Mathlib.Topology.UniformSpace.CompleteSeparated

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 310

`topology.uniform_space.complete_separated` ⟷ `Mathlib.Topology.UniformSpace.CompleteSeparated`