topology.continuous_function.cocompact_map

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

0a0ec350

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

3e32bc90

bump to nightly-2024-01-19-06

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

33b57512

Diff

@@ -82,7 +82,7 @@ instance : CocompactMapClass (CocompactMap α β) α β
 /-- Helper instance for when there's too many metavariables to apply `fun_like.has_coe_to_fun`
 directly. -/
 instance : CoeFun (CocompactMap α β) fun _ => α → β :=
-  FunLike.hasCoeToFun
+  DFunLike.hasCoeToFun
 
 #print CocompactMap.coe_toContinuousMap /-
 @[simp]
@@ -94,7 +94,7 @@ theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α 
 #print CocompactMap.ext /-
 @[ext]
 theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align cocompact_map.ext CocompactMap.ext
 -/
 
@@ -118,7 +118,7 @@ theorem coe_copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : ⇑(f.
 
 #print CocompactMap.copy_eq /-
 theorem copy_eq (f : CocompactMap α β) (f' : α → β) (h : f' = f) : f.copy f' h = f :=
-  FunLike.ext' h
+  DFunLike.ext' h
 #align cocompact_map.copy_eq CocompactMap.copy_eq
 -/

3e32bc90

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) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
 -/
-import Mathbin.Topology.ContinuousFunction.Basic
+import Topology.ContinuousFunction.Basic
 
 #align_import topology.continuous_function.cocompact_map from "leanprover-community/mathlib"@"3e32bc908f617039c74c06ea9a897e30c30803c2"
 
@@ -219,7 +219,7 @@ theorem isCompact_preimage [T2Space β] (f : CocompactMap α β) ⦃s : Set β
             (cocompact_tendsto f <|
               mem_cocompact.mpr ⟨s, hs, compl_subset_compl.mpr (image_preimage_subset f _)⟩))
   exact
-    isCompact_of_isClosed_subset ht (hs.is_closed.preimage <| map_continuous f) (by simpa using hts)
+    IsCompact.of_isClosed_subset ht (hs.is_closed.preimage <| map_continuous f) (by simpa using hts)
 #align cocompact_map.is_compact_preimage CocompactMap.isCompact_preimage
 -/

3e32bc90

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) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
-
-! This file was ported from Lean 3 source module topology.continuous_function.cocompact_map
-! leanprover-community/mathlib commit 3e32bc908f617039c74c06ea9a897e30c30803c2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.ContinuousFunction.Basic
 
+#align_import topology.continuous_function.cocompact_map from "leanprover-community/mathlib"@"3e32bc908f617039c74c06ea9a897e30c30803c2"
+
 /-!
 # Cocompact continuous maps

3e32bc90

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -87,16 +87,21 @@ directly. -/
 instance : CoeFun (CocompactMap α β) fun _ => α → β :=
   FunLike.hasCoeToFun
 
+#print CocompactMap.coe_toContinuousMap /-
 @[simp]
 theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
   rfl
 #align cocompact_map.coe_to_continuous_fun CocompactMap.coe_toContinuousMap
+-/
 
+#print CocompactMap.ext /-
 @[ext]
 theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
   FunLike.ext _ _ h
 #align cocompact_map.ext CocompactMap.ext
+-/
 
+#print CocompactMap.copy /-
 /-- Copy of a `cocompact_map` with a new `to_fun` equal to the old one. Useful
 to fix definitional equalities. -/
 protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : CocompactMap α β
@@ -105,21 +110,28 @@ protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : Coco
   continuous_toFun := by rw [h]; exact f.continuous_to_fun
   cocompact_tendsto' := by simp_rw [h]; exact f.cocompact_tendsto'
 #align cocompact_map.copy CocompactMap.copy
+-/
 
+#print CocompactMap.coe_copy /-
 @[simp]
 theorem coe_copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : ⇑(f.copy f' h) = f' :=
   rfl
 #align cocompact_map.coe_copy CocompactMap.coe_copy
+-/
 
+#print CocompactMap.copy_eq /-
 theorem copy_eq (f : CocompactMap α β) (f' : α → β) (h : f' = f) : f.copy f' h = f :=
   FunLike.ext' h
 #align cocompact_map.copy_eq CocompactMap.copy_eq
+-/
 
+#print CocompactMap.coe_mk /-
 @[simp]
 theorem coe_mk (f : C(α, β)) (h : Tendsto f (cocompact α) (cocompact β)) :
     ⇑(⟨f, h⟩ : CocompactMap α β) = f :=
   rfl
 #align cocompact_map.coe_mk CocompactMap.coe_mk
+-/
 
 section
 
@@ -132,10 +144,12 @@ protected def id : CocompactMap α α :=
 #align cocompact_map.id CocompactMap.id
 -/
 
+#print CocompactMap.coe_id /-
 @[simp]
 theorem coe_id : ⇑(CocompactMap.id α) = id :=
   rfl
 #align cocompact_map.coe_id CocompactMap.coe_id
+-/
 
 end
 
@@ -149,31 +163,41 @@ def comp (f : CocompactMap β γ) (g : CocompactMap α β) : CocompactMap α γ
 #align cocompact_map.comp CocompactMap.comp
 -/
 
+#print CocompactMap.coe_comp /-
 @[simp]
 theorem coe_comp (f : CocompactMap β γ) (g : CocompactMap α β) : ⇑(comp f g) = f ∘ g :=
   rfl
 #align cocompact_map.coe_comp CocompactMap.coe_comp
+-/
 
+#print CocompactMap.comp_apply /-
 @[simp]
 theorem comp_apply (f : CocompactMap β γ) (g : CocompactMap α β) (a : α) : comp f g a = f (g a) :=
   rfl
 #align cocompact_map.comp_apply CocompactMap.comp_apply
+-/
 
+#print CocompactMap.comp_assoc /-
 @[simp]
 theorem comp_assoc (f : CocompactMap γ δ) (g : CocompactMap β γ) (h : CocompactMap α β) :
     (f.comp g).comp h = f.comp (g.comp h) :=
   rfl
 #align cocompact_map.comp_assoc CocompactMap.comp_assoc
+-/
 
+#print CocompactMap.id_comp /-
 @[simp]
 theorem id_comp (f : CocompactMap α β) : (CocompactMap.id _).comp f = f :=
   ext fun _ => rfl
 #align cocompact_map.id_comp CocompactMap.id_comp
+-/
 
+#print CocompactMap.comp_id /-
 @[simp]
 theorem comp_id (f : CocompactMap α β) : f.comp (CocompactMap.id _) = f :=
   ext fun _ => rfl
 #align cocompact_map.comp_id CocompactMap.comp_id
+-/
 
 #print CocompactMap.tendsto_of_forall_preimage /-
 theorem tendsto_of_forall_preimage {f : α → β} (h : ∀ s, IsCompact s → IsCompact (f ⁻¹' s)) :
@@ -184,6 +208,7 @@ theorem tendsto_of_forall_preimage {f : α → β} (h : ∀ s, IsCompact s → I
 #align cocompact_map.tendsto_of_forall_preimage CocompactMap.tendsto_of_forall_preimage
 -/
 
+#print CocompactMap.isCompact_preimage /-
 /-- If the codomain is Hausdorff, preimages of compact sets are compact under a cocompact
 continuous map. -/
 theorem isCompact_preimage [T2Space β] (f : CocompactMap α β) ⦃s : Set β⦄ (hs : IsCompact s) :
@@ -199,6 +224,7 @@ theorem isCompact_preimage [T2Space β] (f : CocompactMap α β) ⦃s : Set β
   exact
     isCompact_of_isClosed_subset ht (hs.is_closed.preimage <| map_continuous f) (by simpa using hts)
 #align cocompact_map.is_compact_preimage CocompactMap.isCompact_preimage
+-/
 
 end Basics

3e32bc90

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -38,7 +38,7 @@ when the codomain is Hausdorff (see `cocompact_map.tendsto_of_forall_preimage` a
 Cocompact maps thus generalise proper maps, with which they correspond when the codomain is
 Hausdorff. -/
 structure CocompactMap (α : Type u) (β : Type v) [TopologicalSpace α] [TopologicalSpace β] extends
-  ContinuousMap α β : Type max u v where
+    ContinuousMap α β : Type max u v where
   cocompact_tendsto' : Tendsto to_fun (cocompact α) (cocompact β)
 #align cocompact_map CocompactMap
 -/
@@ -50,7 +50,7 @@ section
 
 You should also extend this typeclass when you extend `cocompact_map`. -/
 class CocompactMapClass (F : Type _) (α β : outParam <| Type _) [TopologicalSpace α]
-  [TopologicalSpace β] extends ContinuousMapClass F α β where
+    [TopologicalSpace β] extends ContinuousMapClass F α β where
   cocompact_tendsto (f : F) : Tendsto f (cocompact α) (cocompact β)
 #align cocompact_map_class CocompactMapClass
 -/

3e32bc90

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -87,34 +87,16 @@ directly. -/
 instance : CoeFun (CocompactMap α β) fun _ => α → β :=
   FunLike.hasCoeToFun
 
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 @[simp]
 theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
   rfl
 #align cocompact_map.coe_to_continuous_fun CocompactMap.coe_toContinuousMap
 
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 @[ext]
 theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
   FunLike.ext _ _ h
 #align cocompact_map.ext CocompactMap.ext
 
-/- warning: cocompact_map.copy -> CocompactMap.copy is a dubious translation:
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 /-- Copy of a `cocompact_map` with a new `to_fun` equal to the old one. Useful
 to fix definitional equalities. -/
 protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : CocompactMap α β
@@ -124,33 +106,15 @@ protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : Coco
   cocompact_tendsto' := by simp_rw [h]; exact f.cocompact_tendsto'
 #align cocompact_map.copy CocompactMap.copy
 
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 @[simp]
 theorem coe_copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : ⇑(f.copy f' h) = f' :=
   rfl
 #align cocompact_map.coe_copy CocompactMap.coe_copy
 
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 theorem copy_eq (f : CocompactMap α β) (f' : α → β) (h : f' = f) : f.copy f' h = f :=
   FunLike.ext' h
 #align cocompact_map.copy_eq CocompactMap.copy_eq
 
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 @[simp]
 theorem coe_mk (f : C(α, β)) (h : Tendsto f (cocompact α) (cocompact β)) :
     ⇑(⟨f, h⟩ : CocompactMap α β) = f :=
@@ -168,12 +132,6 @@ protected def id : CocompactMap α α :=
 #align cocompact_map.id CocompactMap.id
 -/
 
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 @[simp]
 theorem coe_id : ⇑(CocompactMap.id α) = id :=
   rfl
@@ -191,57 +149,27 @@ def comp (f : CocompactMap β γ) (g : CocompactMap α β) : CocompactMap α γ
 #align cocompact_map.comp CocompactMap.comp
 -/
 
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 @[simp]
 theorem coe_comp (f : CocompactMap β γ) (g : CocompactMap α β) : ⇑(comp f g) = f ∘ g :=
   rfl
 #align cocompact_map.coe_comp CocompactMap.coe_comp
 
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 @[simp]
 theorem comp_apply (f : CocompactMap β γ) (g : CocompactMap α β) (a : α) : comp f g a = f (g a) :=
   rfl
 #align cocompact_map.comp_apply CocompactMap.comp_apply
 
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-  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u4}} {δ : Type.{u3}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.{u2} β] [_inst_3 : TopologicalSpace.{u4} γ] [_inst_4 : TopologicalSpace.{u3} δ] (f : CocompactMap.{u4, u3} γ δ _inst_3 _inst_4) (g : CocompactMap.{u2, u4} β γ _inst_2 _inst_3) (h : CocompactMap.{u1, u2} α β _inst_1 _inst_2), Eq.{max (succ u1) (succ u3)} (CocompactMap.{u1, u3} α δ _inst_1 _inst_4) (CocompactMap.comp.{u1, u2, u3} α β δ _inst_1 _inst_2 _inst_4 (CocompactMap.comp.{u2, u4, u3} β γ δ _inst_2 _inst_3 _inst_4 f g) h) (CocompactMap.comp.{u1, u4, u3} α γ δ _inst_1 _inst_3 _inst_4 f (CocompactMap.comp.{u1, u2, u4} α β γ _inst_1 _inst_2 _inst_3 g h))
-Case conversion may be inaccurate. Consider using '#align cocompact_map.comp_assoc CocompactMap.comp_assocₓ'. -/
 @[simp]
 theorem comp_assoc (f : CocompactMap γ δ) (g : CocompactMap β γ) (h : CocompactMap α β) :
     (f.comp g).comp h = f.comp (g.comp h) :=
   rfl
 #align cocompact_map.comp_assoc CocompactMap.comp_assoc
 
-/- warning: cocompact_map.id_comp -> CocompactMap.id_comp 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 : CocompactMap.{u1, u2} α β _inst_1 _inst_2), Eq.{succ (max u1 u2)} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) (CocompactMap.comp.{u1, u2, u2} α β β _inst_1 _inst_2 _inst_2 (CocompactMap.id.{u2} β _inst_2) f) f
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} α] [_inst_2 : TopologicalSpace.{u1} β] (f : CocompactMap.{u2, u1} α β _inst_1 _inst_2), Eq.{max (succ u2) (succ u1)} (CocompactMap.{u2, u1} α β _inst_1 _inst_2) (CocompactMap.comp.{u2, u1, u1} α β β _inst_1 _inst_2 _inst_2 (CocompactMap.id.{u1} β _inst_2) f) f
-Case conversion may be inaccurate. Consider using '#align cocompact_map.id_comp CocompactMap.id_compₓ'. -/
 @[simp]
 theorem id_comp (f : CocompactMap α β) : (CocompactMap.id _).comp f = f :=
   ext fun _ => rfl
 #align cocompact_map.id_comp CocompactMap.id_comp
 
-/- warning: cocompact_map.comp_id -> CocompactMap.comp_id 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 : CocompactMap.{u1, u2} α β _inst_1 _inst_2), Eq.{succ (max u1 u2)} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) (CocompactMap.comp.{u1, u1, u2} α α β _inst_1 _inst_1 _inst_2 f (CocompactMap.id.{u1} α _inst_1)) f
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} α] [_inst_2 : TopologicalSpace.{u1} β] (f : CocompactMap.{u2, u1} α β _inst_1 _inst_2), Eq.{max (succ u2) (succ u1)} (CocompactMap.{u2, u1} α β _inst_1 _inst_2) (CocompactMap.comp.{u2, u2, u1} α α β _inst_1 _inst_1 _inst_2 f (CocompactMap.id.{u2} α _inst_1)) f
-Case conversion may be inaccurate. Consider using '#align cocompact_map.comp_id CocompactMap.comp_idₓ'. -/
 @[simp]
 theorem comp_id (f : CocompactMap α β) : f.comp (CocompactMap.id _) = f :=
   ext fun _ => rfl
@@ -256,12 +184,6 @@ theorem tendsto_of_forall_preimage {f : α → β} (h : ∀ s, IsCompact s → I
 #align cocompact_map.tendsto_of_forall_preimage CocompactMap.tendsto_of_forall_preimage
 -/
 
-/- warning: cocompact_map.is_compact_preimage -> CocompactMap.isCompact_preimage 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] [_inst_5 : T2Space.{u2} β _inst_2] (f : CocompactMap.{u1, u2} α β _inst_1 _inst_2) {{s : Set.{u2} β}}, (IsCompact.{u2} β _inst_2 s) -> (IsCompact.{u1} α _inst_1 (Set.preimage.{u1, u2} α β (coeFn.{succ (max u1 u2), max (succ u1) (succ u2)} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) (fun (_x : CocompactMap.{u1, u2} α β _inst_1 _inst_2) => α -> β) (CocompactMap.hasCoeToFun.{u1, u2} α β _inst_1 _inst_2) f) s))
-but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.{u2} β] [_inst_5 : T2Space.{u2} β _inst_2] (f : CocompactMap.{u1, u2} α β _inst_1 _inst_2) {{s : Set.{u2} β}}, (IsCompact.{u2} β _inst_2 s) -> (IsCompact.{u1} α _inst_1 (Set.preimage.{u1, u2} α β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) α (fun (_x : α) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : α) => β) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) α β _inst_1 _inst_2 (CocompactMapClass.toContinuousMapClass.{max u1 u2, u1, u2} (CocompactMap.{u1, u2} α β _inst_1 _inst_2) α β _inst_1 _inst_2 (CocompactMap.instCocompactMapClassCocompactMap.{u1, u2} α β _inst_1 _inst_2))) f) s))
-Case conversion may be inaccurate. Consider using '#align cocompact_map.is_compact_preimage CocompactMap.isCompact_preimageₓ'. -/
 /-- If the codomain is Hausdorff, preimages of compact sets are compact under a cocompact
 continuous map. -/
 theorem isCompact_preimage [T2Space β] (f : CocompactMap α β) ⦃s : Set β⦄ (hs : IsCompact s) :

3e32bc90

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -78,10 +78,7 @@ variable {α β γ δ : Type _} [TopologicalSpace α] [TopologicalSpace β] [Top
 instance : CocompactMapClass (CocompactMap α β) α β
     where
   coe f := f.toFun
-  coe_injective' f g h := by
-    obtain ⟨⟨_, _⟩, _⟩ := f
-    obtain ⟨⟨_, _⟩, _⟩ := g
-    congr
+  coe_injective' f g h := by obtain ⟨⟨_, _⟩, _⟩ := f; obtain ⟨⟨_, _⟩, _⟩ := g; congr
   map_continuous f := f.continuous_toFun
   cocompact_tendsto f := f.cocompact_tendsto'
 
@@ -123,12 +120,8 @@ to fix definitional equalities. -/
 protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : CocompactMap α β
     where
   toFun := f'
-  continuous_toFun := by
-    rw [h]
-    exact f.continuous_to_fun
-  cocompact_tendsto' := by
-    simp_rw [h]
-    exact f.cocompact_tendsto'
+  continuous_toFun := by rw [h]; exact f.continuous_to_fun
+  cocompact_tendsto' := by simp_rw [h]; exact f.cocompact_tendsto'
 #align cocompact_map.copy CocompactMap.copy
 
 /- warning: cocompact_map.coe_copy -> CocompactMap.coe_copy is a dubious translation:

3e32bc90

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

0a0ec350

refactor(Data/FunLike): use unbundled inheritance from FunLike (#8386)

The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike is EquivLike, since that has a custom coe_injective' field that is easier to implement. All other classes should take FunLike or EquivLike as a parameter.

Zulip thread

Important changes

Previously, morphism classes would be Type-valued and extend FunLike:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

After this PR, they should be Prop-valued and take FunLike as a parameter:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  [FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

(Note that A B stay marked as outParam even though they are not purely required to be so due to the FunLike parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam is slightly faster.)

Similarly, MyEquivClass should take EquivLike as a parameter.

As a result, every mention of [MyHomClass F A B] should become [FunLike F A B] [MyHomClass F A B].

Remaining issues

Slower (failing) search

While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul is more expensive. This is due to suboptimal processing of arguments. For example:

variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)

theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y

example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _

Before this PR, applying map_mul f gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Since M and N are out_params, [MulHomClass F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found.

After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Now [FunLike F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found, before trying MulHomClass F M N which fails. Since the Mul hierarchy is very big, this can be slow to fail, especially when there is no such Mul instance.

A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N] because MulHomClass fails or succeeds much faster than the others.

As a consequence, the simpNF linter is much slower since by design it tries and fails to apply many map_ lemmas. The same issue occurs a few times in existing calls to simp [map_mul], where map_mul is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.

`simp` not firing sometimes

This affects map_smulₛₗ and related definitions. For simp lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw can find every argument to map_smulₛₗ successfully but simp can't: leanprover/lean4#3701.

Missing instances due to unification failing

Especially in the category theory library, we might sometimes have a type A which is also accessible as a synonym (Bundled A hA).1. Instance synthesis doesn't always work if we have f : A →* B but x * y : (Bundled A hA).1 or vice versa. This seems to be mostly fixed by keeping A B as outParams in MulHomClass F A B. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1 instead of using the syntax in the discrimination tree.)

Workaround for issues

The timeouts can be worked around for now by specifying which map_mul we mean, either as map_mul f for some explicit f, or as e.g. MonoidHomClass.map_mul.

map_smulₛₗ not firing as simp lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ a simp lemma instead of the generic map_smulₛₗ. Writing simp [map_smulₛₗ _] also works.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

c6a73d4f

Diff

@@ -42,7 +42,7 @@ section
 
 You should also extend this typeclass when you extend `CocompactMap`. -/
 class CocompactMapClass (F : Type*) (α β : outParam <| Type*) [TopologicalSpace α]
-  [TopologicalSpace β] extends ContinuousMapClass F α β where
+  [TopologicalSpace β] [FunLike F α β] extends ContinuousMapClass F α β : Prop where
   /-- The cocompact filter on `α` tends to the cocompact filter on `β` under the function -/
   cocompact_tendsto (f : F) : Tendsto f (cocompact α) (cocompact β)
 #align cocompact_map_class CocompactMapClass
@@ -51,7 +51,8 @@ end
 
 namespace CocompactMapClass
 
-variable {F α β : Type*} [TopologicalSpace α] [TopologicalSpace β] [CocompactMapClass F α β]
+variable {F α β : Type*} [TopologicalSpace α] [TopologicalSpace β]
+variable [FunLike F α β] [CocompactMapClass F α β]
 
 /-- Turn an element of a type `F` satisfying `CocompactMapClass F α β` into an actual
 `CocompactMap`. This is declared as the default coercion from `F` to `CocompactMap α β`. -/
@@ -74,21 +75,17 @@ section Basics
 variable {α β γ δ : Type*} [TopologicalSpace α] [TopologicalSpace β] [TopologicalSpace γ]
   [TopologicalSpace δ]
 
-instance : CocompactMapClass (CocompactMap α β) α β where
+instance : FunLike (CocompactMap α β) α β where
   coe f := f.toFun
   coe_injective' f g h := by
     obtain ⟨⟨_, _⟩, _⟩ := f
     obtain ⟨⟨_, _⟩, _⟩ := g
     congr
+
+instance : CocompactMapClass (CocompactMap α β) α β where
   map_continuous f := f.continuous_toFun
   cocompact_tendsto f := f.cocompact_tendsto'
 
-/- Porting note: not needed anymore
-/-- Helper instance for when there's too many metavariables to apply `DFunLike.hasCoeToFun`
-directly. -/
-instance : CoeFun (CocompactMap α β) fun _ => α → β :=
-  DFunLike.hasCoeToFun-/
-
 @[simp]
 theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
   rfl

0a0ec350

chore(*): rename FunLike to DFunLike (#9785)

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

82656743

Diff

@@ -84,10 +84,10 @@ instance : CocompactMapClass (CocompactMap α β) α β where
   cocompact_tendsto f := f.cocompact_tendsto'
 
 /- Porting note: not needed anymore
-/-- Helper instance for when there's too many metavariables to apply `fun_like.has_coe_to_fun`
+/-- Helper instance for when there's too many metavariables to apply `DFunLike.hasCoeToFun`
 directly. -/
 instance : CoeFun (CocompactMap α β) fun _ => α → β :=
-  FunLike.hasCoeToFun-/
+  DFunLike.hasCoeToFun-/
 
 @[simp]
 theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
@@ -96,7 +96,7 @@ theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α 
 
 @[ext]
 theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align cocompact_map.ext CocompactMap.ext
 
 /-- Copy of a `CocompactMap` with a new `toFun` equal to the old one. Useful
@@ -117,7 +117,7 @@ theorem coe_copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : ⇑(f.
 #align cocompact_map.coe_copy CocompactMap.coe_copy
 
 theorem copy_eq (f : CocompactMap α β) (f' : α → β) (h : f' = f) : f.copy f' h = f :=
-  FunLike.ext' h
+  DFunLike.ext' h
 #align cocompact_map.copy_eq CocompactMap.copy_eq
 
 @[simp]

0a0ec350

chore(Topology/SubsetProperties): rename isCompact_of_isClosed_subset (#7298)

As discussed on Zulip.

Co-authored-by: grunweg <grunweg@posteo.de>

b68cba43

Diff

@@ -195,7 +195,7 @@ theorem isCompact_preimage [T2Space β] (f : CocompactMap α β) ⦃s : Set β
             (cocompact_tendsto f <|
               mem_cocompact.mpr ⟨s, hs, compl_subset_compl.mpr (image_preimage_subset f _)⟩))
   exact
-    isCompact_of_isClosed_subset ht (hs.isClosed.preimage <| map_continuous f) (by simpa using hts)
+    ht.of_isClosed_subset (hs.isClosed.preimage <| map_continuous f) (by simpa using hts)
 #align cocompact_map.is_compact_preimage CocompactMap.isCompact_preimage
 
 end Basics

0a0ec350

chore: make sure that some coercions have an attached definition (#6667)

0a3c0125

Diff

@@ -53,8 +53,15 @@ namespace CocompactMapClass
 
 variable {F α β : Type*} [TopologicalSpace α] [TopologicalSpace β] [CocompactMapClass F α β]
 
+/-- Turn an element of a type `F` satisfying `CocompactMapClass F α β` into an actual
+`CocompactMap`. This is declared as the default coercion from `F` to `CocompactMap α β`. -/
+@[coe]
+def toCocompactMap (f : F) : CocompactMap α β :=
+  { (f : C(α, β)) with
+    cocompact_tendsto' := cocompact_tendsto f }
+
 instance : CoeTC F (CocompactMap α β) :=
-  ⟨fun f => ⟨f, cocompact_tendsto f⟩⟩
+  ⟨toCocompactMap⟩
 
 end CocompactMapClass

0a0ec350

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

@@ -41,7 +41,7 @@ section
 /-- `CocompactMapClass F α β` states that `F` is a type of cocompact continuous maps.
 
 You should also extend this typeclass when you extend `CocompactMap`. -/
-class CocompactMapClass (F : Type _) (α β : outParam <| Type _) [TopologicalSpace α]
+class CocompactMapClass (F : Type*) (α β : outParam <| Type*) [TopologicalSpace α]
   [TopologicalSpace β] extends ContinuousMapClass F α β where
   /-- The cocompact filter on `α` tends to the cocompact filter on `β` under the function -/
   cocompact_tendsto (f : F) : Tendsto f (cocompact α) (cocompact β)
@@ -51,7 +51,7 @@ end
 
 namespace CocompactMapClass
 
-variable {F α β : Type _} [TopologicalSpace α] [TopologicalSpace β] [CocompactMapClass F α β]
+variable {F α β : Type*} [TopologicalSpace α] [TopologicalSpace β] [CocompactMapClass F α β]
 
 instance : CoeTC F (CocompactMap α β) :=
   ⟨fun f => ⟨f, cocompact_tendsto f⟩⟩
@@ -64,7 +64,7 @@ namespace CocompactMap
 
 section Basics
 
-variable {α β γ δ : Type _} [TopologicalSpace α] [TopologicalSpace β] [TopologicalSpace γ]
+variable {α β γ δ : Type*} [TopologicalSpace α] [TopologicalSpace β] [TopologicalSpace γ]
   [TopologicalSpace δ]
 
 instance : CocompactMapClass (CocompactMap α β) α β where
@@ -197,7 +197,7 @@ end CocompactMap
 
 /-- A homeomorphism is a cocompact map. -/
 @[simps]
-def Homeomorph.toCocompactMap {α β : Type _} [TopologicalSpace α] [TopologicalSpace β]
+def Homeomorph.toCocompactMap {α β : Type*} [TopologicalSpace α] [TopologicalSpace β]
     (f : α ≃ₜ β) : CocompactMap α β where
   toFun := f
   continuous_toFun := f.continuous

0a0ec350

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) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
-
-! This file was ported from Lean 3 source module topology.continuous_function.cocompact_map
-! leanprover-community/mathlib commit 0a0ec35061ed9960bf0e7ffb0335f44447b58977
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.ContinuousFunction.Basic
 
+#align_import topology.continuous_function.cocompact_map from "leanprover-community/mathlib"@"0a0ec35061ed9960bf0e7ffb0335f44447b58977"
+
 /-!
 # Cocompact continuous maps

0a0ec350

chore: fix many typos (#4967)

These are all doc fixes

6f9e51c3

Diff

@@ -198,7 +198,7 @@ end Basics
 
 end CocompactMap
 
-/-- A homemomorphism is a cocompact map. -/
+/-- A homeomorphism is a cocompact map. -/
 @[simps]
 def Homeomorph.toCocompactMap {α β : Type _} [TopologicalSpace α] [TopologicalSpace β]
     (f : α ≃ₜ β) : CocompactMap α β where

0a0ec350

chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

14167e48

Diff

@@ -204,8 +204,7 @@ def Homeomorph.toCocompactMap {α β : Type _} [TopologicalSpace α] [Topologica
     (f : α ≃ₜ β) : CocompactMap α β where
   toFun := f
   continuous_toFun := f.continuous
-  cocompact_tendsto' :=
-    by
+  cocompact_tendsto' := by
     refine' CocompactMap.tendsto_of_forall_preimage fun K hK => _
     erw [K.preimage_equiv_eq_image_symm]
     exact hK.image f.symm.continuous

0a0ec350

chore: tidy various files (#2236)

a2ebfa0b

Diff

@@ -70,8 +70,7 @@ section Basics
 variable {α β γ δ : Type _} [TopologicalSpace α] [TopologicalSpace β] [TopologicalSpace γ]
   [TopologicalSpace δ]
 
-instance : CocompactMapClass (CocompactMap α β) α β
-    where
+instance : CocompactMapClass (CocompactMap α β) α β where
   coe f := f.toFun
   coe_injective' f g h := by
     obtain ⟨⟨_, _⟩, _⟩ := f
@@ -87,9 +86,9 @@ instance : CoeFun (CocompactMap α β) fun _ => α → β :=
   FunLike.hasCoeToFun-/
 
 @[simp]
-theorem coe_to_continuous_fun {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
+theorem coe_toContinuousMap {f : CocompactMap α β} : (f.toContinuousMap : α → β) = f :=
   rfl
-#align cocompact_map.coe_to_continuous_fun CocompactMap.coe_to_continuous_fun
+#align cocompact_map.coe_to_continuous_fun CocompactMap.coe_toContinuousMap
 
 @[ext]
 theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
@@ -98,8 +97,7 @@ theorem ext {f g : CocompactMap α β} (h : ∀ x, f x = g x) : f = g :=
 
 /-- Copy of a `CocompactMap` with a new `toFun` equal to the old one. Useful
 to fix definitional equalities. -/
-protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : CocompactMap α β
-    where
+protected def copy (f : CocompactMap α β) (f' : α → β) (h : f' = f) : CocompactMap α β where
   toFun := f'
   continuous_toFun := by
     rw [h]

0a0ec350

feat: port Topology.ContinuousFunction.CocompactMap (#2130)

3ab70990

`topology.continuous_function.cocompact_map` ⟷ `Mathlib.Topology.ContinuousFunction.CocompactMap`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Important changes

Remaining issues

Slower (failing) search

`simp` not firing sometimes

Missing instances due to unification failing

Workaround for issues

Dependencies 8 + 308

topology.continuous_function.cocompact_map ⟷ Mathlib.Topology.ContinuousFunction.CocompactMap

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Important changes

Remaining issues

Slower (failing) search

simp not firing sometimes

Missing instances due to unification failing

Workaround for issues

Dependencies 8 + 308

`topology.continuous_function.cocompact_map` ⟷ `Mathlib.Topology.ContinuousFunction.CocompactMap`

`simp` not firing sometimes