algebraic_topology.fundamental_groupoid.simply_connected

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

38341f11

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

1a51edf1

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -5,8 +5,8 @@ Authors: Praneeth Kolichala
 -/
 import AlgebraicTopology.FundamentalGroupoid.InducedMaps
 import Topology.Homotopy.Contractible
-import CategoryTheory.Punit
-import AlgebraicTopology.FundamentalGroupoid.Punit
+import CategoryTheory.PUnit
+import AlgebraicTopology.FundamentalGroupoid.PUnit
 
 #align_import algebraic_topology.fundamental_groupoid.simply_connected from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"

1a51edf1

bump to nightly-2024-02-05-08

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

516c6ec2

Diff

@@ -35,7 +35,7 @@ open ContinuousMap
 open scoped ContinuousMap
 
 #print SimplyConnectedSpace /-
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

1a51edf1

bump to nightly-2023-12-23-06

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

b8c74971

Diff

@@ -35,7 +35,7 @@ open ContinuousMap
 open scoped ContinuousMap
 
 #print SimplyConnectedSpace /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

1a51edf1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
 -/
-import Mathbin.AlgebraicTopology.FundamentalGroupoid.InducedMaps
-import Mathbin.Topology.Homotopy.Contractible
-import Mathbin.CategoryTheory.Punit
-import Mathbin.AlgebraicTopology.FundamentalGroupoid.Punit
+import AlgebraicTopology.FundamentalGroupoid.InducedMaps
+import Topology.Homotopy.Contractible
+import CategoryTheory.Punit
+import AlgebraicTopology.FundamentalGroupoid.Punit
 
 #align_import algebraic_topology.fundamental_groupoid.simply_connected from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"
 
@@ -35,7 +35,7 @@ open ContinuousMap
 open scoped ContinuousMap
 
 #print SimplyConnectedSpace /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

1a51edf1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
-
-! This file was ported from Lean 3 source module algebraic_topology.fundamental_groupoid.simply_connected
-! leanprover-community/mathlib commit 1a51edf13debfcbe223fa06b1cb353b9ed9751cc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicTopology.FundamentalGroupoid.InducedMaps
 import Mathbin.Topology.Homotopy.Contractible
 import Mathbin.CategoryTheory.Punit
 import Mathbin.AlgebraicTopology.FundamentalGroupoid.Punit
 
+#align_import algebraic_topology.fundamental_groupoid.simply_connected from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"
+
 /-!
 # Simply connected spaces

1a51edf1

bump to nightly-2023-07-09-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a51edf13debfcbe223fa06b1cb353b9ed9751cc

e0217a15

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
 
 ! This file was ported from Lean 3 source module algebraic_topology.fundamental_groupoid.simply_connected
-! leanprover-community/mathlib commit 38341f11ded9e2bc1371eb42caad69ecacf8f541
+! leanprover-community/mathlib commit 1a51edf13debfcbe223fa06b1cb353b9ed9751cc
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.AlgebraicTopology.FundamentalGroupoid.Punit
 
 /-!
 # Simply connected spaces
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 This file defines simply connected spaces.
 A topological space is simply connected if its fundamental groupoid is equivalent to `unit`.

38341f11

bump to nightly-2023-07-07-17

mathlib commit https://github.com/leanprover-community/mathlib/commit/8905e5ed90859939681a725b00f6063e65096d95

862e7059

Diff

@@ -34,22 +34,28 @@ open ContinuousMap
 
 open scoped ContinuousMap
 
+#print SimplyConnectedSpace /-
 /- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)
 #align simply_connected_space SimplyConnectedSpace
+-/
 
+#print simply_connected_def /-
 theorem simply_connected_def (X : Type _) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔ Nonempty (FundamentalGroupoid X ≌ Discrete Unit) :=
   ⟨fun h => @SimplyConnectedSpace.equiv_unit X _ h, fun h => ⟨h⟩⟩
 #align simply_connected_def simply_connected_def
+-/
 
+#print simply_connected_iff_unique_homotopic /-
 theorem simply_connected_iff_unique_homotopic (X : Type _) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔
       Nonempty X ∧ ∀ x y : X, Nonempty (Unique (Path.Homotopic.Quotient x y)) :=
   by rw [simply_connected_def, equiv_punit_iff_unique]; rfl
 #align simply_connected_iff_unique_homotopic simply_connected_iff_unique_homotopic
+-/
 
 namespace SimplyConnectedSpace
 
@@ -65,11 +71,14 @@ instance (priority := 100) : PathConnectedSpace X :=
   { Nonempty := unique_homotopic.1
     Joined := fun x y => ⟨(unique_homotopic.2 x y).some.default.out⟩ }
 
+#print SimplyConnectedSpace.paths_homotopic /-
 /-- In a simply connected space, any two paths are homotopic -/
 theorem paths_homotopic {x y : X} (p₁ p₂ : Path x y) : Path.Homotopic p₁ p₂ := by
   simpa using @Subsingleton.elim (Path.Homotopic.Quotient x y) _ ⟦p₁⟧ ⟦p₂⟧
 #align simply_connected_space.paths_homotopic SimplyConnectedSpace.paths_homotopic
+-/
 
+#print SimplyConnectedSpace.ofContractible /-
 instance (priority := 100) ofContractible (Y : Type _) [TopologicalSpace Y] [ContractibleSpace Y] :
     SimplyConnectedSpace Y
     where equiv_unit :=
@@ -77,11 +86,13 @@ instance (priority := 100) ofContractible (Y : Type _) [TopologicalSpace Y] [Con
     ⟨(FundamentalGroupoidFunctor.equivOfHomotopyEquiv H).trans
         FundamentalGroupoid.punitEquivDiscretePUnit⟩
 #align simply_connected_space.of_contractible SimplyConnectedSpace.ofContractible
+-/
 
 end SimplyConnectedSpace
 
 attribute [local instance] Path.Homotopic.setoid
 
+#print simply_connected_iff_paths_homotopic /-
 /-- A space is simply connected iff it is path connected, and there is at most one path
   up to homotopy between any two points. -/
 theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
@@ -92,7 +103,9 @@ theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
     cases h; rw [simply_connected_iff_unique_homotopic]
     exact ⟨inferInstance, fun x y => ⟨uniqueOfSubsingleton ⟦PathConnectedSpace.somePath x y⟧⟩⟩⟩
 #align simply_connected_iff_paths_homotopic simply_connected_iff_paths_homotopic
+-/
 
+#print simply_connected_iff_paths_homotopic' /-
 /-- Another version of `simply_connected_iff_paths_homotopic` -/
 theorem simply_connected_iff_paths_homotopic' {Y : Type _} [TopologicalSpace Y] :
     SimplyConnectedSpace Y ↔
@@ -101,4 +114,5 @@ theorem simply_connected_iff_paths_homotopic' {Y : Type _} [TopologicalSpace Y]
   convert simply_connected_iff_paths_homotopic
   simp [Path.Homotopic.Quotient, Setoid.eq_top_iff]; rfl
 #align simply_connected_iff_paths_homotopic' simply_connected_iff_paths_homotopic'
+-/

38341f11

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -34,7 +34,7 @@ open ContinuousMap
 
 open scoped ContinuousMap
 
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

38341f11

bump to nightly-2023-06-09-11

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

f5e7eb19

Diff

@@ -75,7 +75,7 @@ instance (priority := 100) ofContractible (Y : Type _) [TopologicalSpace Y] [Con
     where equiv_unit :=
     let H : TopCat.of Y ≃ₕ TopCat.of Unit := (ContractibleSpace.hequiv_unit Y).some
     ⟨(FundamentalGroupoidFunctor.equivOfHomotopyEquiv H).trans
-        FundamentalGroupoid.punitEquivDiscretePunit⟩
+        FundamentalGroupoid.punitEquivDiscretePUnit⟩
 #align simply_connected_space.of_contractible SimplyConnectedSpace.ofContractible
 
 end SimplyConnectedSpace

38341f11

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -34,7 +34,7 @@ open ContinuousMap
 
 open scoped ContinuousMap
 
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

38341f11

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -87,7 +87,7 @@ attribute [local instance] Path.Homotopic.setoid
 theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
     SimplyConnectedSpace Y ↔
       PathConnectedSpace Y ∧ ∀ x y : Y, Subsingleton (Path.Homotopic.Quotient x y) :=
-  ⟨by intro ; constructor <;> infer_instance, fun h =>
+  ⟨by intro; constructor <;> infer_instance, fun h =>
     by
     cases h; rw [simply_connected_iff_unique_homotopic]
     exact ⟨inferInstance, fun x y => ⟨uniqueOfSubsingleton ⟦PathConnectedSpace.somePath x y⟧⟩⟩⟩

38341f11

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -32,7 +32,7 @@ open CategoryTheory
 
 open ContinuousMap
 
-open ContinuousMap
+open scoped ContinuousMap
 
 /- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/

38341f11

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -48,9 +48,7 @@ theorem simply_connected_def (X : Type _) [TopologicalSpace X] :
 theorem simply_connected_iff_unique_homotopic (X : Type _) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔
       Nonempty X ∧ ∀ x y : X, Nonempty (Unique (Path.Homotopic.Quotient x y)) :=
-  by
-  rw [simply_connected_def, equiv_punit_iff_unique]
-  rfl
+  by rw [simply_connected_def, equiv_punit_iff_unique]; rfl
 #align simply_connected_iff_unique_homotopic simply_connected_iff_unique_homotopic
 
 namespace SimplyConnectedSpace
@@ -58,11 +56,7 @@ namespace SimplyConnectedSpace
 variable {X : Type _} [TopologicalSpace X] [SimplyConnectedSpace X]
 
 instance (x y : X) : Subsingleton (Path.Homotopic.Quotient x y) :=
-  @Unique.subsingleton _
-    (Nonempty.some
-      (by
-        rw [simply_connected_iff_unique_homotopic] at *
-        tauto))
+  @Unique.subsingleton _ (Nonempty.some (by rw [simply_connected_iff_unique_homotopic] at *; tauto))
 
 attribute [local instance] Path.Homotopic.setoid
 
@@ -93,9 +87,8 @@ attribute [local instance] Path.Homotopic.setoid
 theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
     SimplyConnectedSpace Y ↔
       PathConnectedSpace Y ∧ ∀ x y : Y, Subsingleton (Path.Homotopic.Quotient x y) :=
-  ⟨by
-    intro
-    constructor <;> infer_instance, fun h => by
+  ⟨by intro ; constructor <;> infer_instance, fun h =>
+    by
     cases h; rw [simply_connected_iff_unique_homotopic]
     exact ⟨inferInstance, fun x y => ⟨uniqueOfSubsingleton ⟦PathConnectedSpace.somePath x y⟧⟩⟩⟩
 #align simply_connected_iff_paths_homotopic simply_connected_iff_paths_homotopic

38341f11

bump to nightly-2023-04-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

ff662d55

Diff

@@ -34,7 +34,7 @@ open ContinuousMap
 
 open ContinuousMap
 
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`equiv_unit] [] -/
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `discrete unit` -/
 class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)

38341f11

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

38341f11

fix: decapitalize names of proof-valued fields (#8509)

Only Prop-values fields should be capitalized, not P-valued fields where P is Prop-valued.

Rather than fixing Nonempty := in constructors, I just deleted the line as the instance can almost always be found automatically.

e2426ff5

Diff

@@ -60,8 +60,8 @@ attribute [local instance] Path.Homotopic.setoid
 
 instance (priority := 100) : PathConnectedSpace X :=
   let unique_homotopic := (simply_connected_iff_unique_homotopic X).mp inferInstance
-  { Nonempty := unique_homotopic.1
-    Joined := fun x y => ⟨(unique_homotopic.2 x y).some.default.out⟩ }
+  { nonempty := unique_homotopic.1
+    joined := fun x y => ⟨(unique_homotopic.2 x y).some.default.out⟩ }
 
 /-- In a simply connected space, any two paths are homotopic -/
 theorem paths_homotopic {x y : X} (p₁ p₂ : Path x y) : Path.Homotopic p₁ p₂ :=

38341f11

fix: Fix FundamentalGroupoid being reducible. (#8257)

Instead it is now the opposite -- a structure with a single field.

zulip discussion

Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com>

6b362d1e

Diff

@@ -42,7 +42,10 @@ class SimplyConnectedSpace (X : Type*) [TopologicalSpace X] : Prop where
 theorem simply_connected_iff_unique_homotopic (X : Type*) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔
       Nonempty X ∧ ∀ x y : X, Nonempty (Unique (Path.Homotopic.Quotient x y)) := by
-  rw [simply_connected_def, equiv_punit_iff_unique]; rfl
+  simp only [simply_connected_def, equiv_punit_iff_unique,
+    FundamentalGroupoid.nonempty_iff X, and_congr_right_iff, Nonempty.forall]
+  intros
+  exact ⟨fun h _ _ => h _ _, fun h _ _ => h _ _⟩
 #align simply_connected_iff_unique_homotopic simply_connected_iff_unique_homotopic
 
 namespace SimplyConnectedSpace

38341f11

chore: remove many Type _ before the colon (#7718)

We have turned to Type* instead of Type _, but many of them remained in mathlib because the straight replacement did not work. In general, having Type _ before the colon is a code smell, though, as it hides which types should be in the same universe and which shouldn't, and is not very robust.

This PR replaces most of the remaining Type _ before the colon (except those in category theory) by Type* or Type u. This has uncovered a few bugs (where declarations were not as polymorphic as they should be).

I had to increase heartbeats at two places when replacing Type _ by Type*, but I think it's worth it as it's really more robust.

fe9572d2

Diff

@@ -22,6 +22,7 @@ A topological space is simply connected if its fundamental groupoid is equivalen
   - `SimplyConnectedSpace.ofContractible` - A contractible space is simply connected
 -/
 
+universe u
 
 noncomputable section
 
@@ -64,10 +65,10 @@ theorem paths_homotopic {x y : X} (p₁ p₂ : Path x y) : Path.Homotopic p₁ p
   Quotient.eq.mp (@Subsingleton.elim (Path.Homotopic.Quotient x y) _ _ _)
 #align simply_connected_space.paths_homotopic SimplyConnectedSpace.paths_homotopic
 
-instance (priority := 100) ofContractible (Y : Type _) [TopologicalSpace Y] [ContractibleSpace Y] :
+instance (priority := 100) ofContractible (Y : Type u) [TopologicalSpace Y] [ContractibleSpace Y] :
     SimplyConnectedSpace Y where
   equiv_unit :=
-    let H : TopCat.of Y ≃ₕ TopCat.of Unit := (ContractibleSpace.hequiv_unit Y).some
+    let H : TopCat.of Y ≃ₕ TopCat.of PUnit.{u+1} := (ContractibleSpace.hequiv Y PUnit.{u+1}).some
     ⟨(FundamentalGroupoidFunctor.equivOfHomotopyEquiv H).trans
       FundamentalGroupoid.punitEquivDiscretePUnit⟩
 #align simply_connected_space.of_contractible SimplyConnectedSpace.ofContractible

38341f11

chore: use mk_iff more (#7105)

fd58eb4f

Diff

@@ -32,13 +32,10 @@ open ContinuousMap
 open scoped ContinuousMap
 
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `Discrete Unit` -/
+@[mk_iff simply_connected_def]
 class SimplyConnectedSpace (X : Type*) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)
 #align simply_connected_space SimplyConnectedSpace
-
-theorem simply_connected_def (X : Type*) [TopologicalSpace X] :
-    SimplyConnectedSpace X ↔ Nonempty (FundamentalGroupoid X ≌ Discrete Unit) :=
-  ⟨fun h => @SimplyConnectedSpace.equiv_unit X _ h, fun h => ⟨h⟩⟩
 #align simply_connected_def simply_connected_def
 
 theorem simply_connected_iff_unique_homotopic (X : Type*) [TopologicalSpace X] :

38341f11

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

@@ -32,16 +32,16 @@ open ContinuousMap
 open scoped ContinuousMap
 
 /-- A simply connected space is one whose fundamental groupoid is equivalent to `Discrete Unit` -/
-class SimplyConnectedSpace (X : Type _) [TopologicalSpace X] : Prop where
+class SimplyConnectedSpace (X : Type*) [TopologicalSpace X] : Prop where
   equiv_unit : Nonempty (FundamentalGroupoid X ≌ Discrete Unit)
 #align simply_connected_space SimplyConnectedSpace
 
-theorem simply_connected_def (X : Type _) [TopologicalSpace X] :
+theorem simply_connected_def (X : Type*) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔ Nonempty (FundamentalGroupoid X ≌ Discrete Unit) :=
   ⟨fun h => @SimplyConnectedSpace.equiv_unit X _ h, fun h => ⟨h⟩⟩
 #align simply_connected_def simply_connected_def
 
-theorem simply_connected_iff_unique_homotopic (X : Type _) [TopologicalSpace X] :
+theorem simply_connected_iff_unique_homotopic (X : Type*) [TopologicalSpace X] :
     SimplyConnectedSpace X ↔
       Nonempty X ∧ ∀ x y : X, Nonempty (Unique (Path.Homotopic.Quotient x y)) := by
   rw [simply_connected_def, equiv_punit_iff_unique]; rfl
@@ -49,7 +49,7 @@ theorem simply_connected_iff_unique_homotopic (X : Type _) [TopologicalSpace X]
 
 namespace SimplyConnectedSpace
 
-variable {X : Type _} [TopologicalSpace X] [SimplyConnectedSpace X]
+variable {X : Type*} [TopologicalSpace X] [SimplyConnectedSpace X]
 
 instance (x y : X) : Subsingleton (Path.Homotopic.Quotient x y) :=
   @Unique.instSubsingleton _ (Nonempty.some (by
@@ -81,7 +81,7 @@ attribute [local instance] Path.Homotopic.setoid
 
 /-- A space is simply connected iff it is path connected, and there is at most one path
   up to homotopy between any two points. -/
-theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
+theorem simply_connected_iff_paths_homotopic {Y : Type*} [TopologicalSpace Y] :
     SimplyConnectedSpace Y ↔
       PathConnectedSpace Y ∧ ∀ x y : Y, Subsingleton (Path.Homotopic.Quotient x y) :=
   ⟨by intro; constructor <;> infer_instance, fun h => by
@@ -90,7 +90,7 @@ theorem simply_connected_iff_paths_homotopic {Y : Type _} [TopologicalSpace Y] :
 #align simply_connected_iff_paths_homotopic simply_connected_iff_paths_homotopic
 
 /-- Another version of `simply_connected_iff_paths_homotopic` -/
-theorem simply_connected_iff_paths_homotopic' {Y : Type _} [TopologicalSpace Y] :
+theorem simply_connected_iff_paths_homotopic' {Y : Type*} [TopologicalSpace Y] :
     SimplyConnectedSpace Y ↔
       PathConnectedSpace Y ∧ ∀ {x y : Y} (p₁ p₂ : Path x y), Path.Homotopic p₁ p₂ := by
   convert simply_connected_iff_paths_homotopic (Y := Y)

38341f11

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

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
-
-! This file was ported from Lean 3 source module algebraic_topology.fundamental_groupoid.simply_connected
-! leanprover-community/mathlib commit 38341f11ded9e2bc1371eb42caad69ecacf8f541
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps
 import Mathlib.Topology.Homotopy.Contractible
 import Mathlib.CategoryTheory.PUnit
 import Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit
 
+#align_import algebraic_topology.fundamental_groupoid.simply_connected from "leanprover-community/mathlib"@"38341f11ded9e2bc1371eb42caad69ecacf8f541"
+
 /-!
 # Simply connected spaces
 This file defines simply connected spaces.

38341f11

feat: port AlgebraicTopology.FundamentalGroupoid.SimplyConnected (#5759)

38b0bb05

`algebraic_topology.fundamental_groupoid.simply_connected` ⟷ `Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 665

algebraic_topology.fundamental_groupoid.simply_connected ⟷ Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 665

`algebraic_topology.fundamental_groupoid.simply_connected` ⟷ `Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected`