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

aa812bd1

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f2b757fc

bump to nightly-2023-11-03-06

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

e743ac84

Diff

@@ -135,14 +135,14 @@ variable {X} (x : X)
 #print CategoryTheory.ActionCategory.stabilizerIsoEnd /-
 /-- The stabilizer of a point is isomorphic to the endomorphism monoid at the
   corresponding point. In fact they are definitionally equivalent. -/
-def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory M X) :=
+def stabilizerIsoEnd : MulAction.stabilizerSubmonoid M x ≃* End (↑x : ActionCategory M X) :=
   MulEquiv.refl _
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
 -/
 
 #print CategoryTheory.ActionCategory.stabilizerIsoEnd_apply /-
 @[simp]
-theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
+theorem stabilizerIsoEnd_apply (f : MulAction.stabilizerSubmonoid M x) :
     (stabilizerIsoEnd M x).toFun f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply

f2b757fc

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,11 +3,11 @@ Copyright (c) 2020 David Wärn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Wärn
 -/
-import Mathbin.CategoryTheory.Elements
-import Mathbin.CategoryTheory.IsConnected
-import Mathbin.CategoryTheory.SingleObj
-import Mathbin.GroupTheory.GroupAction.Quotient
-import Mathbin.GroupTheory.SemidirectProduct
+import CategoryTheory.Elements
+import CategoryTheory.IsConnected
+import CategoryTheory.SingleObj
+import GroupTheory.GroupAction.Quotient
+import GroupTheory.SemidirectProduct
 
 #align_import category_theory.action from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"

f2b757fc

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,11 +2,6 @@
 Copyright (c) 2020 David Wärn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Wärn
-
-! This file was ported from Lean 3 source module category_theory.action
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Elements
 import Mathbin.CategoryTheory.IsConnected
@@ -14,6 +9,8 @@ import Mathbin.CategoryTheory.SingleObj
 import Mathbin.GroupTheory.GroupAction.Quotient
 import Mathbin.GroupTheory.SemidirectProduct
 
+#align_import category_theory.action from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # Actions as functors and as categories

f2b757fc

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -70,15 +70,19 @@ def π : ActionCategory M X ⥤ SingleObj M :=
 #align category_theory.action_category.π CategoryTheory.ActionCategory.π
 -/
 
+#print CategoryTheory.ActionCategory.π_map /-
 @[simp]
 theorem π_map (p q : ActionCategory M X) (f : p ⟶ q) : (π M X).map f = f.val :=
   rfl
 #align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_map
+-/
 
+#print CategoryTheory.ActionCategory.π_obj /-
 @[simp]
 theorem π_obj (p : ActionCategory M X) : (π M X).obj p = SingleObj.star M :=
   Unit.ext
 #align category_theory.action_category.π_obj CategoryTheory.ActionCategory.π_obj
+-/
 
 variable {M X}
 
@@ -92,14 +96,18 @@ protected def back : ActionCategory M X → X := fun x => x.snd
 instance : CoeTC X (ActionCategory M X) :=
   ⟨fun x => ⟨(), x⟩⟩
 
+#print CategoryTheory.ActionCategory.coe_back /-
 @[simp]
 theorem coe_back (x : X) : (↑x : ActionCategory M X).back = x :=
   rfl
 #align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_back
+-/
 
+#print CategoryTheory.ActionCategory.back_coe /-
 @[simp]
 theorem back_coe (x : ActionCategory M X) : ↑x.back = x := by ext <;> rfl
 #align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coe
+-/
 
 variable (M X)
 
@@ -113,9 +121,11 @@ def objEquiv : X ≃ ActionCategory M X where
 #align category_theory.action_category.obj_equiv CategoryTheory.ActionCategory.objEquiv
 -/
 
+#print CategoryTheory.ActionCategory.hom_as_subtype /-
 theorem hom_as_subtype (p q : ActionCategory M X) : (p ⟶ q) = { m : M // m • p.back = q.back } :=
   rfl
 #align category_theory.action_category.hom_as_subtype CategoryTheory.ActionCategory.hom_as_subtype
+-/
 
 instance [Inhabited X] : Inhabited (ActionCategory M X) :=
   ⟨show X from default⟩
@@ -125,35 +135,45 @@ instance [Nonempty X] : Nonempty (ActionCategory M X) :=
 
 variable {X} (x : X)
 
+#print CategoryTheory.ActionCategory.stabilizerIsoEnd /-
 /-- The stabilizer of a point is isomorphic to the endomorphism monoid at the
   corresponding point. In fact they are definitionally equivalent. -/
 def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory M X) :=
   MulEquiv.refl _
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
+-/
 
+#print CategoryTheory.ActionCategory.stabilizerIsoEnd_apply /-
 @[simp]
 theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
     (stabilizerIsoEnd M x).toFun f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply
+-/
 
+#print CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_apply /-
 @[simp]
 theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_symm_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_apply
+-/
 
 variable {M X}
 
+#print CategoryTheory.ActionCategory.id_val /-
 @[simp]
 protected theorem id_val (x : ActionCategory M X) : Subtype.val (𝟙 x) = 1 :=
   rfl
 #align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_val
+-/
 
+#print CategoryTheory.ActionCategory.comp_val /-
 @[simp]
 protected theorem comp_val {x y z : ActionCategory M X} (f : x ⟶ y) (g : y ⟶ z) :
     (f ≫ g).val = g.val * f.val :=
   rfl
 #align category_theory.action_category.comp_val CategoryTheory.ActionCategory.comp_val
+-/
 
 instance [IsPretransitive M X] [Nonempty X] : IsConnected (ActionCategory M X) :=
   zigzag_isConnected fun x y =>
@@ -175,16 +195,21 @@ def endMulEquivSubgroup (H : Subgroup G) : End (objEquiv G (G ⧸ H) ↑(1 : G))
 #align category_theory.action_category.End_mul_equiv_subgroup CategoryTheory.ActionCategory.endMulEquivSubgroup
 -/
 
+#print CategoryTheory.ActionCategory.homOfPair /-
 /-- A target vertex `t` and a scalar `g` determine a morphism in the action groupoid. -/
 def homOfPair (t : X) (g : G) : ↑(g⁻¹ • t) ⟶ (t : ActionCategory G X) :=
   Subtype.mk g (smul_inv_smul g t)
 #align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPair
+-/
 
+#print CategoryTheory.ActionCategory.homOfPair.val /-
 @[simp]
 theorem homOfPair.val (t : X) (g : G) : (homOfPair t g).val = g :=
   rfl
 #align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.val
+-/
 
+#print CategoryTheory.ActionCategory.cases /-
 /-- Any morphism in the action groupoid is given by some pair. -/
 protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort _}
     (hyp : ∀ t g, P (homOfPair t g)) ⦃a b⦄ (f : a ⟶ b) : P f :=
@@ -196,6 +221,7 @@ protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort
   cases inv_smul_eq_iff.mpr h.symm
   rfl
 #align category_theory.action_category.cases CategoryTheory.ActionCategory.cases
+-/
 
 variable {H : Type _} [Group H]

f2b757fc

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -55,7 +55,8 @@ def actionAsFunctor : SingleObj M ⥤ Type u
  from x to y is a scalar taking x to y. Due to implementation details, the object type
  of this category is not equal to X, but is in bijection with X. -/
 def ActionCategory :=
-  (actionAsFunctor M X).Elements deriving Category
+  (actionAsFunctor M X).Elements
+deriving Category
 #align category_theory.action_category CategoryTheory.ActionCategory
 -/
 
@@ -206,10 +207,10 @@ def curry (F : ActionCategory G X ⥤ SingleObj H) : G →* (X → H) ⋊[mulAut
   have F_map_eq : ∀ {a b} {f : a ⟶ b}, F.map f = (F.map (homOfPair b.back f.val) : H) :=
     ActionCategory.cases fun _ _ => rfl
   { toFun := fun g => ⟨fun b => F.map (homOfPair b g), g⟩
-    map_one' := by congr ; funext; exact F_map_eq.symm.trans (F.map_id b)
+    map_one' := by congr; funext; exact F_map_eq.symm.trans (F.map_id b)
     map_mul' := by
       intro g h
-      congr ; funext
+      congr; funext
       exact F_map_eq.symm.trans (F.map_comp (hom_of_pair (g⁻¹ • b) h) (hom_of_pair b g)) }
 #align category_theory.action_category.curry CategoryTheory.ActionCategory.curry
 -/

f2b757fc

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -69,20 +69,11 @@ def π : ActionCategory M X ⥤ SingleObj M :=
 #align category_theory.action_category.π CategoryTheory.ActionCategory.π
 -/
 
-/- warning: category_theory.action_category.π_map -> CategoryTheory.ActionCategory.π_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_mapₓ'. -/
 @[simp]
 theorem π_map (p q : ActionCategory M X) (f : p ⟶ q) : (π M X).map f = f.val :=
   rfl
 #align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_map
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.π_obj CategoryTheory.ActionCategory.π_objₓ'. -/
 @[simp]
 theorem π_obj (p : ActionCategory M X) : (π M X).obj p = SingleObj.star M :=
   Unit.ext
@@ -100,23 +91,11 @@ protected def back : ActionCategory M X → X := fun x => x.snd
 instance : CoeTC X (ActionCategory M X) :=
   ⟨fun x => ⟨(), x⟩⟩
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_backₓ'. -/
 @[simp]
 theorem coe_back (x : X) : (↑x : ActionCategory M X).back = x :=
   rfl
 #align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_back
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coeₓ'. -/
 @[simp]
 theorem back_coe (x : ActionCategory M X) : ↑x.back = x := by ext <;> rfl
 #align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coe
@@ -133,12 +112,6 @@ def objEquiv : X ≃ ActionCategory M X where
 #align category_theory.action_category.obj_equiv CategoryTheory.ActionCategory.objEquiv
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.hom_as_subtype CategoryTheory.ActionCategory.hom_as_subtypeₓ'. -/
 theorem hom_as_subtype (p q : ActionCategory M X) : (p ⟶ q) = { m : M // m • p.back = q.back } :=
   rfl
 #align category_theory.action_category.hom_as_subtype CategoryTheory.ActionCategory.hom_as_subtype
@@ -151,30 +124,18 @@ instance [Nonempty X] : Nonempty (ActionCategory M X) :=
 
 variable {X} (x : X)
 
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 /-- The stabilizer of a point is isomorphic to the endomorphism monoid at the
   corresponding point. In fact they are definitionally equivalent. -/
 def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory M X) :=
   MulEquiv.refl _
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
 
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 @[simp]
 theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
     (stabilizerIsoEnd M x).toFun f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply
 
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 @[simp]
 theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun f = f :=
   rfl
@@ -182,17 +143,11 @@ theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun
 
 variable {M X}
 
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 @[simp]
 protected theorem id_val (x : ActionCategory M X) : Subtype.val (𝟙 x) = 1 :=
   rfl
 #align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_val
 
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 @[simp]
 protected theorem comp_val {x y z : ActionCategory M X} (f : x ⟶ y) (g : y ⟶ z) :
     (f ≫ g).val = g.val * f.val :=
@@ -219,31 +174,16 @@ def endMulEquivSubgroup (H : Subgroup G) : End (objEquiv G (G ⧸ H) ↑(1 : G))
 #align category_theory.action_category.End_mul_equiv_subgroup CategoryTheory.ActionCategory.endMulEquivSubgroup
 -/
 
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 /-- A target vertex `t` and a scalar `g` determine a morphism in the action groupoid. -/
 def homOfPair (t : X) (g : G) : ↑(g⁻¹ • t) ⟶ (t : ActionCategory G X) :=
   Subtype.mk g (smul_inv_smul g t)
 #align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPair
 
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 @[simp]
 theorem homOfPair.val (t : X) (g : G) : (homOfPair t g).val = g :=
   rfl
 #align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.val
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.action_category.cases CategoryTheory.ActionCategory.casesₓ'. -/
 /-- Any morphism in the action groupoid is given by some pair. -/
 protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort _}
     (hyp : ∀ t g, P (homOfPair t g)) ⦃a b⦄ (f : a ⟶ b) : P f :=

f2b757fc

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -266,10 +266,7 @@ def curry (F : ActionCategory G X ⥤ SingleObj H) : G →* (X → H) ⋊[mulAut
   have F_map_eq : ∀ {a b} {f : a ⟶ b}, F.map f = (F.map (homOfPair b.back f.val) : H) :=
     ActionCategory.cases fun _ _ => rfl
   { toFun := fun g => ⟨fun b => F.map (homOfPair b g), g⟩
-    map_one' := by
-      congr
-      funext
-      exact F_map_eq.symm.trans (F.map_id b)
+    map_one' := by congr ; funext; exact F_map_eq.symm.trans (F.map_id b)
     map_mul' := by
       intro g h
       congr ; funext
@@ -285,10 +282,7 @@ def uncurry (F : G →* (X → H) ⋊[mulAutArrow] G) (sane : ∀ g, (F g).right
     ActionCategory G X ⥤ SingleObj H where
   obj _ := ()
   map a b f := (F f.val).left b.back
-  map_id' := by
-    intro x
-    rw [action_category.id_val, F.map_one]
-    rfl
+  map_id' := by intro x; rw [action_category.id_val, F.map_one]; rfl
   map_comp' := by
     intro x y z f g; revert y z g
     refine' action_category.cases _

f2b757fc

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -70,10 +70,7 @@ def π : ActionCategory M X ⥤ SingleObj M :=
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_mapₓ'. -/
 @[simp]
 theorem π_map (p q : ActionCategory M X) (f : p ⟶ q) : (π M X).map f = f.val :=
@@ -167,10 +164,7 @@ def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
@@ -179,10 +173,7 @@ theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply
 
 /- warning: category_theory.action_category.stabilizer_iso_End_symm_apply -> CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_symm_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun f = f :=
@@ -192,10 +183,7 @@ theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun
 variable {M X}
 
 /- warning: category_theory.action_category.id_val -> CategoryTheory.ActionCategory.id_val is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_valₓ'. -/
 @[simp]
 protected theorem id_val (x : ActionCategory M X) : Subtype.val (𝟙 x) = 1 :=
@@ -203,10 +191,7 @@ protected theorem id_val (x : ActionCategory M X) : Subtype.val (𝟙 x) = 1 :=
 #align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_val
 
 /- warning: category_theory.action_category.comp_val -> CategoryTheory.ActionCategory.comp_val is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.comp_val CategoryTheory.ActionCategory.comp_valₓ'. -/
 @[simp]
 protected theorem comp_val {x y z : ActionCategory M X} (f : x ⟶ y) (g : y ⟶ z) :
@@ -246,10 +231,7 @@ def homOfPair (t : X) (g : G) : ↑(g⁻¹ • t) ⟶ (t : ActionCategory G X) :
 #align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPair
 
 /- warning: category_theory.action_category.hom_of_pair.val -> CategoryTheory.ActionCategory.homOfPair.val is a dubious translation:
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(Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit t)) f (Sigma.snd.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit (HSMul.hSMul.{u1, u2, u2} G X X (instHSMul.{u1, u2} G X (MulAction.toSMul.{u1, u2} G X (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) _inst_4)) (Inv.inv.{u1} G (InvOneClass.toInv.{u1} G (DivInvOneMonoid.toInvOneClass.{u1} G (DivisionMonoid.toDivInvOneMonoid.{u1} G (Group.toDivisionMonoid.{u1} G _inst_3)))) g) t)))) (Sigma.snd.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit t))) (CategoryTheory.ActionCategory.homOfPair.{u2, u1} X G _inst_3 _inst_4 t g)) g
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.valₓ'. -/
 @[simp]
 theorem homOfPair.val (t : X) (g : G) : (homOfPair t g).val = g :=

f2b757fc

bump to nightly-2023-05-16-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

b356e20f

Diff

@@ -170,7 +170,7 @@ def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory
 lean 3 declaration is
   forall (M : Type.{u2}) [_inst_1 : Monoid.{u2} M] {X : Type.{u1}} [_inst_2 : MulAction.{u2, u1} M X _inst_1] (x : X) (f : coeSort.{succ u2, succ (succ u2)} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) M (Submonoid.setLike.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1))) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)), Eq.{succ u2} (CategoryTheory.End.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.category.{u2, u1} M _inst_1 X _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (HasLiftT.mk.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.hasCoeT.{u1, u2} M _inst_1 X _inst_2))) x)) (MulEquiv.toFun.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) M (Submonoid.setLike.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1))) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (CategoryTheory.End.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.category.{u2, u1} M _inst_1 X _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (HasLiftT.mk.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.hasCoeT.{u1, u2} M _inst_1 X _inst_2))) x)) (Submonoid.mul.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (Submonoid.mul.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (CategoryTheory.ActionCategory.stabilizerIsoEnd.{u1, u2} M _inst_1 X _inst_2 x) f) f
 but is expected to have type
-  forall (M : Type.{u1}) [_inst_1 : Monoid.{u1} M] {X : Type.{u2}} [_inst_2 : MulAction.{u1, u2} M X _inst_1] (x : X) (f : Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) => CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) f) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x))) (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (fun (a : Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) => CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} 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_inst_1 X _inst_2)) c) Unit.unit x)))))) (CategoryTheory.ActionCategory.stabilizerIsoEnd.{u2, u1} M _inst_1 X _inst_2 x) f) f
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(Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x))) (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x))) (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)))))) (CategoryTheory.ActionCategory.stabilizerIsoEnd.{u2, u1} M _inst_1 X _inst_2 x) f) f
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
@@ -182,7 +182,7 @@ theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
 lean 3 declaration is
   forall (M : Type.{u2}) [_inst_1 : Monoid.{u2} M] {X : Type.{u1}} [_inst_2 : MulAction.{u2, u1} M X _inst_1] (x : X) (f : CategoryTheory.End.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.category.{u2, u1} M _inst_1 X _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (HasLiftT.mk.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.hasCoeT.{u1, u2} M _inst_1 X _inst_2))) x)), Eq.{succ u2} (coeSort.{succ u2, succ (succ u2)} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) M (Submonoid.setLike.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1))) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (MulEquiv.invFun.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submonoid.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1)) M (Submonoid.setLike.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1))) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (CategoryTheory.End.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.category.{u2, u1} M _inst_1 X _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (HasLiftT.mk.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} M _inst_1 X _inst_2) (CategoryTheory.ActionCategory.hasCoeT.{u1, u2} M _inst_1 X _inst_2))) x)) (Submonoid.mul.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (Submonoid.mul.{u2} M (Monoid.toMulOneClass.{u2} M _inst_1) (MulAction.Stabilizer.submonoid.{u2, u1} M X _inst_1 _inst_2 x)) (CategoryTheory.ActionCategory.stabilizerIsoEnd.{u1, u2} M _inst_1 X _inst_2 x) f) f
 but is expected to have type
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(Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} 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_inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)))))) (MulEquiv.symm.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} 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X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (CategoryTheory.ActionCategory.stabilizerIsoEnd.{u2, u1} M _inst_1 X _inst_2 x)) f) f
 Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_symm_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun f = f :=

f2b757fc

bump to nightly-2023-04-30-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/86d04064ca33ee3d3405fbfc497d494fd2dd4796

648ff713

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Wärn
 
 ! This file was ported from Lean 3 source module category_theory.action
-! leanprover-community/mathlib commit aa812bd12a4dbbd2c129b38205f222df282df26d
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.GroupTheory.SemidirectProduct
 /-!
 # Actions as functors and as categories
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 From a multiplicative action M ↻ X, we can construct a functor from M to the category of
 types, mapping the single object of M to X and an element `m : M` to map `X → X` given by
 multiplication by `m`.

aa812bd1

bump to nightly-2023-04-28-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

f7c08f8f

Diff

@@ -34,6 +34,7 @@ universe u
 
 variable (M : Type _) [Monoid M] (X : Type u) [MulAction M X]
 
+#print CategoryTheory.actionAsFunctor /-
 /-- A multiplicative action M ↻ X viewed as a functor mapping the single object of M to X
   and an element `m : M` to the map `X → X` given by multiplication by `m`. -/
 @[simps]
@@ -44,27 +45,44 @@ def actionAsFunctor : SingleObj M ⥤ Type u
   map_id' _ := funext <| MulAction.one_smul
   map_comp' _ _ _ f g := funext fun x => (smul_smul g f x).symm
 #align category_theory.action_as_functor CategoryTheory.actionAsFunctor
+-/
 
+#print CategoryTheory.ActionCategory /-
 /-- A multiplicative action M ↻ X induces a category strucure on X, where a morphism
  from x to y is a scalar taking x to y. Due to implementation details, the object type
  of this category is not equal to X, but is in bijection with X. -/
 def ActionCategory :=
   (actionAsFunctor M X).Elements deriving Category
 #align category_theory.action_category CategoryTheory.ActionCategory
+-/
 
 namespace ActionCategory
 
+#print CategoryTheory.ActionCategory.π /-
 /-- The projection from the action category to the monoid, mapping a morphism to its
   label. -/
 def π : ActionCategory M X ⥤ SingleObj M :=
   CategoryOfElements.π _
 #align category_theory.action_category.π CategoryTheory.ActionCategory.π
+-/
 
+/- warning: category_theory.action_category.π_map -> CategoryTheory.ActionCategory.π_map is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_mapₓ'. -/
 @[simp]
 theorem π_map (p q : ActionCategory M X) (f : p ⟶ q) : (π M X).map f = f.val :=
   rfl
 #align category_theory.action_category.π_map CategoryTheory.ActionCategory.π_map
 
+/- warning: category_theory.action_category.π_obj -> CategoryTheory.ActionCategory.π_obj is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.π_obj CategoryTheory.ActionCategory.π_objₓ'. -/
 @[simp]
 theorem π_obj (p : ActionCategory M X) : (π M X).obj p = SingleObj.star M :=
   Unit.ext
@@ -72,25 +90,40 @@ theorem π_obj (p : ActionCategory M X) : (π M X).obj p = SingleObj.star M :=
 
 variable {M X}
 
+#print CategoryTheory.ActionCategory.back /-
 /-- The canonical map `action_category M X → X`. It is given by `λ x, x.snd`, but
   has a more explicit type. -/
 protected def back : ActionCategory M X → X := fun x => x.snd
 #align category_theory.action_category.back CategoryTheory.ActionCategory.back
+-/
 
 instance : CoeTC X (ActionCategory M X) :=
   ⟨fun x => ⟨(), x⟩⟩
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_backₓ'. -/
 @[simp]
 theorem coe_back (x : X) : (↑x : ActionCategory M X).back = x :=
   rfl
 #align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_back
 
+/- warning: category_theory.action_category.back_coe -> CategoryTheory.ActionCategory.back_coe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coeₓ'. -/
 @[simp]
 theorem back_coe (x : ActionCategory M X) : ↑x.back = x := by ext <;> rfl
 #align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coe
 
 variable (M X)
 
+#print CategoryTheory.ActionCategory.objEquiv /-
 /-- An object of the action category given by M ↻ X corresponds to an element of X. -/
 def objEquiv : X ≃ ActionCategory M X where
   toFun := coe
@@ -98,7 +131,14 @@ def objEquiv : X ≃ ActionCategory M X where
   left_inv := coe_back
   right_inv := back_coe
 #align category_theory.action_category.obj_equiv CategoryTheory.ActionCategory.objEquiv
+-/
 
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 theorem hom_as_subtype (p q : ActionCategory M X) : (p ⟶ q) = { m : M // m • p.back = q.back } :=
   rfl
 #align category_theory.action_category.hom_as_subtype CategoryTheory.ActionCategory.hom_as_subtype
@@ -111,18 +151,36 @@ instance [Nonempty X] : Nonempty (ActionCategory M X) :=
 
 variable {X} (x : X)
 
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 /-- The stabilizer of a point is isomorphic to the endomorphism monoid at the
   corresponding point. In fact they are definitionally equivalent. -/
 def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* End (↑x : ActionCategory M X) :=
   MulEquiv.refl _
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
 
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_inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) f) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} 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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
     (stabilizerIsoEnd M x).toFun f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply
 
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+but is expected to have type
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Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)))))) (MulEquiv.symm.{u1, u1} (Subtype.{succ u1} M (fun (x_1 : M) => Membership.mem.{u1, u1} M (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1)) M (Submonoid.instSetLikeSubmonoid.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1))) x_1 (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x))) (CategoryTheory.End.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2)) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} M) (fun (c : CategoryTheory.SingleObj.{u1} M) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} M) (CategoryTheory.SingleObj.category.{u1} M _inst_1) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} M _inst_1 X _inst_2)) c) Unit.unit x)) (Submonoid.mul.{u1} M (Monoid.toMulOneClass.{u1} M _inst_1) (MulAction.Stabilizer.submonoid.{u1, u2} M X _inst_1 _inst_2 x)) (CategoryTheory.End.mul.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, 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(CategoryTheory.ActionCategory.stabilizerIsoEnd.{u2, u1} M _inst_1 X _inst_2 x)) f) f
+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.stabilizer_iso_End_symm_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_applyₓ'. -/
 @[simp]
 theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun f = f :=
   rfl
@@ -130,11 +188,23 @@ theorem stabilizerIsoEnd_symm_apply (f : End _) : (stabilizerIsoEnd M x).invFun
 
 variable {M X}
 
+/- warning: category_theory.action_category.id_val -> CategoryTheory.ActionCategory.id_val is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_valₓ'. -/
 @[simp]
 protected theorem id_val (x : ActionCategory M X) : Subtype.val (𝟙 x) = 1 :=
   rfl
 #align category_theory.action_category.id_val CategoryTheory.ActionCategory.id_val
 
+/- warning: category_theory.action_category.comp_val -> CategoryTheory.ActionCategory.comp_val is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {M : Type.{u1}} [_inst_1 : Monoid.{u1} M] {X : Type.{u2}} [_inst_2 : MulAction.{u1, u2} M X _inst_1] {x : CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2} {y : CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2} {z : CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2} (f : Quiver.Hom.{succ u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.instCategoryActionCategory.{u2, u1} M _inst_1 X _inst_2))) x y) (g : Quiver.Hom.{succ u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 X _inst_2) (CategoryTheory.Category.toCategoryStruct.{u1, u2} (CategoryTheory.ActionCategory.{u2, u1} M _inst_1 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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.comp_val CategoryTheory.ActionCategory.comp_valₓ'. -/
 @[simp]
 protected theorem comp_val {x y z : ActionCategory M X} (f : x ⟶ y) (g : y ⟶ z) :
     (f ≫ g).val = g.val * f.val :=
@@ -153,22 +223,42 @@ variable {G : Type _} [Group G] [MulAction G X]
 noncomputable instance : Groupoid (ActionCategory G X) :=
   CategoryTheory.groupoidOfElements _
 
+#print CategoryTheory.ActionCategory.endMulEquivSubgroup /-
 /-- Any subgroup of `G` is a vertex group in its action groupoid. -/
 def endMulEquivSubgroup (H : Subgroup G) : End (objEquiv G (G ⧸ H) ↑(1 : G)) ≃* H :=
   MulEquiv.trans (stabilizerIsoEnd G ((1 : G) : G ⧸ H)).symm
     (MulEquiv.subgroupCongr <| stabilizer_quotient H)
 #align category_theory.action_category.End_mul_equiv_subgroup CategoryTheory.ActionCategory.endMulEquivSubgroup
+-/
 
+/- warning: category_theory.action_category.hom_of_pair -> CategoryTheory.ActionCategory.homOfPair is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPairₓ'. -/
 /-- A target vertex `t` and a scalar `g` determine a morphism in the action groupoid. -/
 def homOfPair (t : X) (g : G) : ↑(g⁻¹ • t) ⟶ (t : ActionCategory G X) :=
   Subtype.mk g (smul_inv_smul g t)
 #align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPair
 
+/- warning: category_theory.action_category.hom_of_pair.val -> CategoryTheory.ActionCategory.homOfPair.val is a dubious translation:
+lean 3 declaration is
+  forall {X : Type.{u1}} {G : Type.{u2}} [_inst_3 : Group.{u2} G] [_inst_4 : MulAction.{u2, u1} G X (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))] (t : X) (g : G), Eq.{succ u2} (Quiver.Hom.{succ u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.CategoryStruct.toQuiver.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.Category.toCategoryStruct.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))))) (Sigma.fst.{0, u1} (CategoryTheory.SingleObj.{u2} G) (fun (c : CategoryTheory.SingleObj.{u2} G) => CategoryTheory.Functor.obj.{u2, u1, 0, succ u1} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.actionAsFunctor.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) c) ((fun 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(DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (HasLiftT.mk.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CoeTCₓ.coe.{succ u1, succ u1} X (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.ActionCategory.hasCoeT.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4))) t))) (CategoryTheory.ActionCategory.homOfPair.{u1, u2} X G _inst_3 _inst_4 t g)) g
+but is expected to have type
+  forall {X : Type.{u2}} {G : Type.{u1}} [_inst_3 : Group.{u1} G] [_inst_4 : MulAction.{u1, u2} G X (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))] (t : X) (g : G), Eq.{succ u1} (Quiver.Hom.{succ u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit (HSMul.hSMul.{u1, u2, u2} G X X (instHSMul.{u1, u2} G X (MulAction.toSMul.{u1, u2} G X (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) _inst_4)) (Inv.inv.{u1} G (InvOneClass.toInv.{u1} G (DivInvOneMonoid.toInvOneClass.{u1} G (DivisionMonoid.toDivInvOneMonoid.{u1} G (Group.toDivisionMonoid.{u1} G _inst_3)))) g) t))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit t))) (Subtype.val.{succ u1} (Quiver.Hom.{succ u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit (HSMul.hSMul.{u1, u2, u2} G X X (instHSMul.{u1, u2} G X (MulAction.toSMul.{u1, u2} G X (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) _inst_4)) (Inv.inv.{u1} G (InvOneClass.toInv.{u1} G (DivInvOneMonoid.toInvOneClass.{u1} G (DivisionMonoid.toDivInvOneMonoid.{u1} G (Group.toDivisionMonoid.{u1} G _inst_3)))) g) t))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit t))) (fun (f : Quiver.Hom.{succ u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit (HSMul.hSMul.{u1, u2, u2} G X X (instHSMul.{u1, u2} G X (MulAction.toSMul.{u1, u2} G X (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) _inst_4)) (Inv.inv.{u1} G (InvOneClass.toInv.{u1} G (DivInvOneMonoid.toInvOneClass.{u1} G (DivisionMonoid.toDivInvOneMonoid.{u1} G (Group.toDivisionMonoid.{u1} G _inst_3)))) g) t))) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) Unit.unit t))) => Eq.{succ u2} (Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) (Sigma.fst.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))) Type.{u2} CategoryTheory.types.{u2} (CategoryTheory.actionAsFunctor.{u2, u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3)) X _inst_4)) c) (Sigma.mk.{0, u2} (CategoryTheory.SingleObj.{u1} G) (fun (c : CategoryTheory.SingleObj.{u1} G) => Prefunctor.obj.{succ u1, succ u2, 0, succ u2} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.CategoryStruct.toQuiver.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.Category.toCategoryStruct.{u1, 0} (CategoryTheory.SingleObj.{u1} G) (CategoryTheory.SingleObj.category.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_3))))) Type.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} Type.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} Type.{u2} CategoryTheory.types.{u2})) (CategoryTheory.Functor.toPrefunctor.{u1, u2, 0, succ u2} 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(CategoryTheory.ActionCategory.homOfPair.{u2, u1} X G _inst_3 _inst_4 t g)) g
+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.valₓ'. -/
 @[simp]
 theorem homOfPair.val (t : X) (g : G) : (homOfPair t g).val = g :=
   rfl
 #align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.val
 
+/- warning: category_theory.action_category.cases -> CategoryTheory.ActionCategory.cases is a dubious translation:
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+but is expected to have type
+  forall {X : Type.{u1}} {G : Type.{u2}} [_inst_3 : Group.{u2} G] [_inst_4 : MulAction.{u2, u1} G X (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))] {P : forall {{a : CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4}} {{b : CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4}}, (Quiver.Hom.{succ u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.instCategoryActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4))) a b) -> Sort.{u3}}, (forall (t : X) (g : G), P (Sigma.mk.{0, u1} (CategoryTheory.SingleObj.{u2} G) (fun (c : CategoryTheory.SingleObj.{u2} G) => Prefunctor.obj.{succ u2, succ u1, 0, succ u1} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.CategoryStruct.toQuiver.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.Category.toCategoryStruct.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))))) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u2, u1, 0, succ u1} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.actionAsFunctor.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4)) c) Unit.unit (HSMul.hSMul.{u2, u1, u1} G X X (instHSMul.{u2, u1} G X (MulAction.toSMul.{u2, u1} G X (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) _inst_4)) (Inv.inv.{u2} G (InvOneClass.toInv.{u2} G (DivInvOneMonoid.toInvOneClass.{u2} G (DivisionMonoid.toDivInvOneMonoid.{u2} G (Group.toDivisionMonoid.{u2} G _inst_3)))) g) t)) (Sigma.mk.{0, u1} (CategoryTheory.SingleObj.{u2} G) (fun (c : CategoryTheory.SingleObj.{u2} G) => Prefunctor.obj.{succ u2, succ u1, 0, succ u1} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.CategoryStruct.toQuiver.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.Category.toCategoryStruct.{u2, 0} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))))) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u2, u1, 0, succ u1} (CategoryTheory.SingleObj.{u2} G) (CategoryTheory.SingleObj.category.{u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3))) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.actionAsFunctor.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4)) c) Unit.unit t) (CategoryTheory.ActionCategory.homOfPair.{u1, u2} X G _inst_3 _inst_4 t g)) -> (forall {{a : CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4}} {{b : CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4}} (f : Quiver.Hom.{succ u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.Category.toCategoryStruct.{u2, u1} (CategoryTheory.ActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4) (CategoryTheory.instCategoryActionCategory.{u1, u2} G (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_3)) X _inst_4))) a b), P a b f)
+Case conversion may be inaccurate. Consider using '#align category_theory.action_category.cases CategoryTheory.ActionCategory.casesₓ'. -/
 /-- Any morphism in the action groupoid is given by some pair. -/
 protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort _}
     (hyp : ∀ t g, P (homOfPair t g)) ⦃a b⦄ (f : a ⟶ b) : P f :=
@@ -183,6 +273,7 @@ protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort
 
 variable {H : Type _} [Group H]
 
+#print CategoryTheory.ActionCategory.curry /-
 /-- Given `G` acting on `X`, a functor from the corresponding action groupoid to a group `H`
     can be curried to a group homomorphism `G →* (X → H) ⋊ G`. -/
 @[simps]
@@ -199,7 +290,9 @@ def curry (F : ActionCategory G X ⥤ SingleObj H) : G →* (X → H) ⋊[mulAut
       congr ; funext
       exact F_map_eq.symm.trans (F.map_comp (hom_of_pair (g⁻¹ • b) h) (hom_of_pair b g)) }
 #align category_theory.action_category.curry CategoryTheory.ActionCategory.curry
+-/
 
+#print CategoryTheory.ActionCategory.uncurry /-
 /-- Given `G` acting on `X`, a group homomorphism `φ : G →* (X → H) ⋊ G` can be uncurried to
     a functor from the action groupoid to `H`, provided that `φ g = (_, g)` for all `g`. -/
 @[simps]
@@ -216,6 +309,7 @@ def uncurry (F : G →* (X → H) ⋊[mulAutArrow] G) (sane : ∀ g, (F g).right
     refine' action_category.cases _
     simp [single_obj.comp_as_mul, sane]
 #align category_theory.action_category.uncurry CategoryTheory.ActionCategory.uncurry
+-/
 
 end Group

aa812bd1

bump to nightly-2023-03-31-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a

ed17fad3

Diff

@@ -57,7 +57,7 @@ namespace ActionCategory
 /-- The projection from the action category to the monoid, mapping a morphism to its
   label. -/
 def π : ActionCategory M X ⥤ SingleObj M :=
-  categoryOfElements.π _
+  CategoryOfElements.π _
 #align category_theory.action_category.π CategoryTheory.ActionCategory.π
 
 @[simp]

aa812bd1

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

aa812bd1

chore: remove useless tactics (#11333)

The removal of some pointless tactics flagged by #11308.

ee18bf38

Diff

@@ -199,7 +199,6 @@ def curry (F : ActionCategory G X ⥤ SingleObj H) : G →* (X → H) ⋊[mulAut
     rfl
   { toFun := fun g => ⟨fun b => F.map (homOfPair b g), g⟩
     map_one' := by
-      congr
       dsimp
       ext1
       ext b
@@ -207,7 +206,6 @@ def curry (F : ActionCategory G X ⥤ SingleObj H) : G →* (X → H) ⋊[mulAut
       rfl
     map_mul' := by
       intro g h
-      congr
       ext b
       exact F_map_eq.symm.trans (F.map_comp (homOfPair (g⁻¹ • b) h) (homOfPair b g))
       rfl }

aa812bd1

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -180,7 +180,7 @@ protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort*
   rfl
 #align category_theory.action_category.cases CategoryTheory.ActionCategory.cases
 
--- porting note: added to ease the proof of `uncurry`
+-- Porting note: added to ease the proof of `uncurry`
 lemma cases' ⦃a' b' : ActionCategory G X⦄ (f : a' ⟶ b') :
     ∃ (a b : X) (g : G) (ha : a' = a) (hb : b' = b) (hg : a = g⁻¹ • b),
       f = eqToHom (by rw [ha, hg]) ≫ homOfPair b g ≫ eqToHom (by rw [hb]) := by
@@ -225,7 +225,7 @@ def uncurry (F : G →* (X → H) ⋊[mulAutArrow] G) (sane : ∀ g, (F g).right
     rw [F.map_one]
     rfl
   map_comp f g := by
-    -- porting note: I was not able to use `ActionCategory.cases` here,
+    -- Porting note: I was not able to use `ActionCategory.cases` here,
     -- but `ActionCategory.cases'` seems as good; the original proof was:
     -- intro x y z f g; revert y z g
     -- refine' action_category.cases _

aa812bd1

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -160,7 +160,7 @@ def endMulEquivSubgroup (H : Subgroup G) : End (objEquiv G (G ⧸ H) ↑(1 : G))
 #align category_theory.action_category.End_mul_equiv_subgroup CategoryTheory.ActionCategory.endMulEquivSubgroup
 
 /-- A target vertex `t` and a scalar `g` determine a morphism in the action groupoid. -/
-def homOfPair (t : X) (g : G) : @Quiver.Hom (ActionCategory G X) _ (g⁻¹ • t) t :=
+def homOfPair (t : X) (g : G) : @Quiver.Hom (ActionCategory G X) _ (g⁻¹ • t :) t :=
   Subtype.mk g (smul_inv_smul g t)
 #align category_theory.action_category.hom_of_pair CategoryTheory.ActionCategory.homOfPair

aa812bd1

refactor(GroupTheory/GroupAction/Basic): re-organise, rename, and make some variables implicit (#7786)

Re-organise the namespace and section structure of GroupTheory/GroupAction/Basic.lean.
Remove the namespaces MulAction.Stabilizer and AddAction.Stabilizer, renaming MulAction.Stabilizer.submonoid to MulAction.stabilizerSubmonoid.
Make variables for the monoid/group/set implicit when an element or subset is used in the statement.

51dd9ef2

Diff

@@ -113,12 +113,12 @@ variable {X} (x : X)
 
 /-- The stabilizer of a point is isomorphic to the endomorphism monoid at the
   corresponding point. In fact they are definitionally equivalent. -/
-def stabilizerIsoEnd : Stabilizer.submonoid M x ≃* @End (ActionCategory M X) _ x :=
+def stabilizerIsoEnd : stabilizerSubmonoid M x ≃* @End (ActionCategory M X) _ x :=
   MulEquiv.refl _
 #align category_theory.action_category.stabilizer_iso_End CategoryTheory.ActionCategory.stabilizerIsoEnd
 
 @[simp]
-theorem stabilizerIsoEnd_apply (f : Stabilizer.submonoid M x) :
+theorem stabilizerIsoEnd_apply (f : stabilizerSubmonoid M x) :
     (stabilizerIsoEnd M x) f = f :=
   rfl
 #align category_theory.action_category.stabilizer_iso_End_apply CategoryTheory.ActionCategory.stabilizerIsoEnd_apply

aa812bd1

chore: Make groupoidOfElements use Groupoid.inv instead of CategoryTheory.inv (#7616)

It seemed suspicious to me that the definition of the action groupoid was noncomputable, since the definition is so explicit. It turns out CategoryTheory.groupoidOfElements was marked noncomputable because its definition of Groupoid.inv used CategoryTheory.inv to choose an inverse. This seems like it was probably just a namespace issue, and the author intended to use Groupoid.inv (which is computable). It seems like this definition would be a lot easier to work with in practice.

6b31fee6

Diff

@@ -150,7 +150,7 @@ section Group
 
 variable {G : Type*} [Group G] [MulAction G X]
 
-noncomputable instance : Groupoid (ActionCategory G X) :=
+instance : Groupoid (ActionCategory G X) :=
   CategoryTheory.groupoidOfElements _
 
 /-- Any subgroup of `G` is a vertex group in its action groupoid. -/

aa812bd1

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

@@ -29,7 +29,7 @@ namespace CategoryTheory
 
 universe u
 
-variable (M : Type _) [Monoid M] (X : Type u) [MulAction M X]
+variable (M : Type*) [Monoid M] (X : Type u) [MulAction M X]
 
 /-- A multiplicative action M ↻ X viewed as a functor mapping the single object of M to X
   and an element `m : M` to the map `X → X` given by multiplication by `m`. -/
@@ -148,7 +148,7 @@ instance [IsPretransitive M X] [Nonempty X] : IsConnected (ActionCategory M X) :
 
 section Group
 
-variable {G : Type _} [Group G] [MulAction G X]
+variable {G : Type*} [Group G] [MulAction G X]
 
 noncomputable instance : Groupoid (ActionCategory G X) :=
   CategoryTheory.groupoidOfElements _
@@ -170,7 +170,7 @@ theorem homOfPair.val (t : X) (g : G) : (homOfPair t g).val = g :=
 #align category_theory.action_category.hom_of_pair.val CategoryTheory.ActionCategory.homOfPair.val
 
 /-- Any morphism in the action groupoid is given by some pair. -/
-protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort _}
+protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort*}
     (hyp : ∀ t g, P (homOfPair t g)) ⦃a b⦄ (f : a ⟶ b) : P f := by
   refine' cast _ (hyp b.back f.val)
   rcases a with ⟨⟨⟩, a : X⟩
@@ -187,7 +187,7 @@ lemma cases' ⦃a' b' : ActionCategory G X⦄ (f : a' ⟶ b') :
   revert a' b' f
   exact ActionCategory.cases (fun t g => ⟨g⁻¹ • t, t, g, rfl, rfl, rfl, by simp⟩)
 
-variable {H : Type _} [Group H]
+variable {H : Type*} [Group H]
 
 /-- Given `G` acting on `X`, a functor from the corresponding action groupoid to a group `H`
     can be curried to a group homomorphism `G →* (X → H) ⋊ G`. -/

aa812bd1

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 David Wärn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Wärn
-
-! This file was ported from Lean 3 source module category_theory.action
-! leanprover-community/mathlib commit aa812bd12a4dbbd2c129b38205f222df282df26d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Elements
 import Mathlib.CategoryTheory.IsConnected
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.SingleObj
 import Mathlib.GroupTheory.GroupAction.Quotient
 import Mathlib.GroupTheory.SemidirectProduct
 
+#align_import category_theory.action from "leanprover-community/mathlib"@"aa812bd12a4dbbd2c129b38205f222df282df26d"
+
 /-!
 # Actions as functors and as categories

aa812bd1

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

12343aa5

Diff

@@ -185,7 +185,7 @@ protected def cases {P : ∀ ⦃a b : ActionCategory G X⦄, (a ⟶ b) → Sort
 
 -- porting note: added to ease the proof of `uncurry`
 lemma cases' ⦃a' b' : ActionCategory G X⦄ (f : a' ⟶ b') :
-    ∃ (a b : X) (g : G) (ha : a' = a) (hb : b' = b)  (hg : a = g⁻¹ • b),
+    ∃ (a b : X) (g : G) (ha : a' = a) (hb : b' = b) (hg : a = g⁻¹ • b),
       f = eqToHom (by rw [ha, hg]) ≫ homOfPair b g ≫ eqToHom (by rw [hb]) := by
   revert a' b' f
   exact ActionCategory.cases (fun t g => ⟨g⁻¹ • t, t, g, rfl, rfl, rfl, by simp⟩)

aa812bd1

chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

c795bd35

Diff

@@ -89,7 +89,7 @@ theorem coe_back (x : X) : ActionCategory.back (x : ActionCategory M X) = x :=
 #align category_theory.action_category.coe_back CategoryTheory.ActionCategory.coe_back
 
 @[simp]
-theorem back_coe (x : ActionCategory M X) : ↑x.back = x := by cases x ; rfl
+theorem back_coe (x : ActionCategory M X) : ↑x.back = x := by cases x; rfl
 #align category_theory.action_category.back_coe CategoryTheory.ActionCategory.back_coe
 
 variable (M X)

aa812bd1

chore: fix backtick in docs (#5077)

I wrote a script to find lines that contain an odd number of backticks

878d95c4

Diff

@@ -22,7 +22,7 @@ types, mapping the single object of M to X and an element `m : M` to map `X →
 multiplication by `m`.
   This functor induces a category structure on X -- a special case of the category of elements.
 A morphism `x ⟶ y` in this category is simply a scalar `m : M` such that `m • x = y`. In the case
-where M is a group, this category is a groupoid -- the `action groupoid'.
+where M is a group, this category is a groupoid -- the *action groupoid*.
 -/

aa812bd1

chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

92beef58

Diff

@@ -44,7 +44,7 @@ def actionAsFunctor : SingleObj M ⥤ Type u where
   map_comp f g := funext fun x => (smul_smul g f x).symm
 #align category_theory.action_as_functor CategoryTheory.actionAsFunctor
 
-/-- A multiplicative action M ↻ X induces a category strucure on X, where a morphism
+/-- A multiplicative action M ↻ X induces a category structure on X, where a morphism
  from x to y is a scalar taking x to y. Due to implementation details, the object type
  of this category is not equal to X, but is in bijection with X. -/
 def ActionCategory :=

aa812bd1

feat: port CategoryTheory.Action (#3657)

81e58562

`category_theory.action` ⟷ `Mathlib.CategoryTheory.Action`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 8 + 384

category_theory.action ⟷ Mathlib.CategoryTheory.Action

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 8 + 384

`category_theory.action` ⟷ `Mathlib.CategoryTheory.Action`