algebra.category.Ring.colimits | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

61db041a

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Category.Ring.Basic
-import Mathbin.CategoryTheory.Limits.HasLimits
-import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
+import Algebra.Category.Ring.Basic
+import CategoryTheory.Limits.HasLimits
+import CategoryTheory.ConcreteCategory.Elementwise
 
 #align_import algebra.category.Ring.colimits from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"

61db041a

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Ring.colimits
-! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Category.Ring.Basic
 import Mathbin.CategoryTheory.Limits.HasLimits
 import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
 
+#align_import algebra.category.Ring.colimits from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
+
 /-!
 # The category of commutative rings has all colimits.

61db041a

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -306,32 +306,42 @@ instance : CommRing (ColimitType F) :=
       rfl
       rfl }
 
+#print CommRingCat.Colimits.quot_zero /-
 @[simp]
 theorem quot_zero : Quot.mk Setoid.r zero = (0 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_zero CommRingCat.Colimits.quot_zero
+-/
 
+#print CommRingCat.Colimits.quot_one /-
 @[simp]
 theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_one CommRingCat.Colimits.quot_one
+-/
 
+#print CommRingCat.Colimits.quot_neg /-
 @[simp]
 theorem quot_neg (x) : Quot.mk Setoid.r (neg x) = (-Quot.mk Setoid.r x : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg
+-/
 
+#print CommRingCat.Colimits.quot_add /-
 @[simp]
 theorem quot_add (x y) :
     Quot.mk Setoid.r (add x y) = (Quot.mk Setoid.r x + Quot.mk Setoid.r y : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_add CommRingCat.Colimits.quot_add
+-/
 
+#print CommRingCat.Colimits.quot_mul /-
 @[simp]
 theorem quot_mul (x y) :
     Quot.mk Setoid.r (mul x y) = (Quot.mk Setoid.r x * Quot.mk Setoid.r y : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_mul CommRingCat.Colimits.quot_mul
+-/
 
 #print CommRingCat.Colimits.colimit /-
 /-- The bundled commutative ring giving the colimit of a diagram. -/
@@ -340,11 +350,14 @@ def colimit : CommRingCat :=
 #align CommRing.colimits.colimit CommRingCat.Colimits.colimit
 -/
 
+#print CommRingCat.Colimits.coconeFun /-
 /-- The function from a given commutative ring in the diagram to the colimit commutative ring. -/
 def coconeFun (j : J) (x : F.obj j) : ColimitType F :=
   Quot.mk _ (of j x)
 #align CommRing.colimits.cocone_fun CommRingCat.Colimits.coconeFun
+-/
 
+#print CommRingCat.Colimits.coconeMorphism /-
 /-- The ring homomorphism from a given commutative ring in the diagram to the colimit commutative
 ring. -/
 def coconeMorphism (j : J) : F.obj j ⟶ colimit F
@@ -355,7 +368,9 @@ def coconeMorphism (j : J) : F.obj j ⟶ colimit F
   map_zero' := by apply Quot.sound <;> apply relation.zero
   map_add' := by intros <;> apply Quot.sound <;> apply relation.add
 #align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphism
+-/
 
+#print CommRingCat.Colimits.cocone_naturality /-
 @[simp]
 theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
     F.map f ≫ coconeMorphism F j' = coconeMorphism F j :=
@@ -364,12 +379,15 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
   apply Quot.sound
   apply Relation.Map
 #align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturality
+-/
 
+#print CommRingCat.Colimits.cocone_naturality_components /-
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
     (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x := by rw [← cocone_naturality F f];
   rfl
 #align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_components
+-/
 
 #print CommRingCat.Colimits.colimitCocone /-
 /-- The cocone over the proposed colimit commutative ring. -/

61db041a

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -155,7 +155,8 @@ attribute [instance] colimit_setoid
 /-- The underlying type of the colimit of a diagram in `CommRing`.
 -/
 def ColimitType : Type v :=
-  Quotient (colimitSetoid F)deriving Inhabited
+  Quotient (colimitSetoid F)
+deriving Inhabited
 #align CommRing.colimits.colimit_type CommRingCat.Colimits.ColimitType
 -/

61db041a

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -305,57 +305,27 @@ instance : CommRing (ColimitType F) :=
       rfl
       rfl }
 
-/- warning: CommRing.colimits.quot_zero -> CommRingCat.Colimits.quot_zero is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.zero.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (OfNat.mk.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (Zero.zero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (MulZeroClass.toHasZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))))))))
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.zero.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (Zero.toOfNat0.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommMonoidWithZero.toZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommSemiring.toCommMonoidWithZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toCommSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_zero CommRingCat.Colimits.quot_zeroₓ'. -/
 @[simp]
 theorem quot_zero : Quot.mk Setoid.r zero = (0 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_zero CommRingCat.Colimits.quot_zero
 
-/- warning: CommRing.colimits.quot_one -> CommRingCat.Colimits.quot_one is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.one.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (OfNat.mk.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (One.one.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddMonoidWithOne.toOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddGroupWithOne.toAddMonoidWithOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.addGroupWithOne.{u1} J _inst_1 F))))))
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.one.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (One.toOfNat1.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Semiring.toOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommSemiring.toSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toCommSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_one CommRingCat.Colimits.quot_oneₓ'. -/
 @[simp]
 theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_one CommRingCat.Colimits.quot_one
 
-/- warning: CommRing.colimits.quot_neg -> CommRingCat.Colimits.quot_neg is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.neg.{u1} J _inst_1 F x)) (Neg.neg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (SubNegMonoid.toHasNeg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddGroup.toSubNegMonoid.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.addGroup.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x))
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.neg.{u1} J _inst_1 F x)) (Neg.neg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNeg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x))
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_negₓ'. -/
 @[simp]
 theorem quot_neg (x) : Quot.mk Setoid.r (neg x) = (-Quot.mk Setoid.r x : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg
 
-/- warning: CommRing.colimits.quot_add -> CommRingCat.Colimits.quot_add is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.add.{u1} J _inst_1 F x y)) (HAdd.hAdd.{u1, u1, u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (instHAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toHasAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.add.{u1} J _inst_1 F x y)) (Add.add.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocSemiring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_add CommRingCat.Colimits.quot_addₓ'. -/
 @[simp]
 theorem quot_add (x y) :
     Quot.mk Setoid.r (add x y) = (Quot.mk Setoid.r x + Quot.mk Setoid.r y : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_add CommRingCat.Colimits.quot_add
 
-/- warning: CommRing.colimits.quot_mul -> CommRingCat.Colimits.quot_mul is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.mul.{u1} J _inst_1 F x y)) (HMul.hMul.{u1, u1, u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (instHMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toHasMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.mul.{u1} J _inst_1 F x y)) (Mul.mul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_mul CommRingCat.Colimits.quot_mulₓ'. -/
 @[simp]
 theorem quot_mul (x y) :
     Quot.mk Setoid.r (mul x y) = (Quot.mk Setoid.r x * Quot.mk Setoid.r y : ColimitType F) :=
@@ -369,23 +339,11 @@ def colimit : CommRingCat :=
 #align CommRing.colimits.colimit CommRingCat.Colimits.colimit
 -/
 
-/- warning: CommRing.colimits.cocone_fun -> CommRingCat.Colimits.coconeFun is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J), (coeSort.{succ (succ u1), succ (succ u1)} CommRingCat.{u1} Type.{u1} CommRingCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F)
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J), (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) -> (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F)
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_fun CommRingCat.Colimits.coconeFunₓ'. -/
 /-- The function from a given commutative ring in the diagram to the colimit commutative ring. -/
 def coconeFun (j : J) (x : F.obj j) : ColimitType F :=
   Quot.mk _ (of j x)
 #align CommRing.colimits.cocone_fun CommRingCat.Colimits.coconeFun
 
-/- warning: CommRing.colimits.cocone_morphism -> CommRingCat.Colimits.coconeMorphism is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J), Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J), Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphismₓ'. -/
 /-- The ring homomorphism from a given commutative ring in the diagram to the colimit commutative
 ring. -/
 def coconeMorphism (j : J) : F.obj j ⟶ colimit F
@@ -397,12 +355,6 @@ def coconeMorphism (j : J) : F.obj j ⟶ colimit F
   map_add' := by intros <;> apply Quot.sound <;> apply relation.add
 #align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphism
 
-/- warning: CommRing.colimits.cocone_naturality -> CommRingCat.Colimits.cocone_naturality is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) {j : J} {j' : J} (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j'), Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.CategoryStruct.comp.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F) (CategoryTheory.Functor.map.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j j' f) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j')) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j)
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) {j : J} {j' : J} (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j'), Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.CategoryStruct.comp.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j')) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j)
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturalityₓ'. -/
 @[simp]
 theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
     F.map f ≫ coconeMorphism F j' = coconeMorphism F j :=
@@ -412,9 +364,6 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
   apply Relation.Map
 #align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturality
 
-/- warning: CommRing.colimits.cocone_naturality_components -> CommRingCat.Colimits.cocone_naturality_components is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_componentsₓ'. -/
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
     (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x := by rw [← cocone_naturality F f];

61db041a

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -417,9 +417,7 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
 Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_componentsₓ'. -/
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
-    (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x :=
-  by
-  rw [← cocone_naturality F f]
+    (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x := by rw [← cocone_naturality F f];
   rfl
 #align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_components

61db041a

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -413,10 +413,7 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
 #align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturality
 
 /- warning: CommRing.colimits.cocone_naturality_components -> CommRingCat.Colimits.cocone_naturality_components is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J) (j' : J) (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j') (x : coeSort.{succ (succ u1), succ (succ u1)} CommRingCat.{u1} Type.{u1} CommRingCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)), Eq.{succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j') (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')))))) (CategoryTheory.Functor.map.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j j' f) x)) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j) x)
-but is expected to have type
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J) (j' : J) (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j') (x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (a : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))))) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j') (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))))) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_componentsₓ'. -/
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :

61db041a

bump to nightly-2023-05-25-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

2175c3c2

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.category.Ring.colimits
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
 /-!
 # The category of commutative rings has all colimits.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file uses a "pre-automated" approach, just as for `Mon/colimits.lean`.
 It is a very uniform approach, that conceivably could be synthesised directly
 by a tactic that analyses the shape of `comm_ring` and `ring_hom`.

70fd9563

bump to nightly-2023-05-23-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

52e3d5e8

Diff

@@ -67,6 +67,7 @@ and the identifications given by the morphisms in the diagram.
 
 variable {J : Type v} [SmallCategory J] (F : J ⥤ CommRingCat.{v})
 
+#print CommRingCat.Colimits.Prequotient /-
 /-- An inductive type representing all commutative ring expressions (without relations)
 on a collection of types indexed by the objects of `J`.
 -/
@@ -80,6 +81,7 @@ inductive Prequotient-- There's always `of`
   | add : prequotient → prequotient → prequotient
   | mul : prequotient → prequotient → prequotient
 #align CommRing.colimits.prequotient CommRingCat.Colimits.Prequotient
+-/
 
 instance : Inhabited (Prequotient F) :=
   ⟨Prequotient.zero⟩
@@ -90,7 +92,7 @@ open Prequotient
 because of the commutative ring laws, or
 because one element is mapped to another by a morphism in the diagram.
 -/
-inductive Relation : Prequotient F → Prequotient F → Prop-- Make it an equivalence relation:
+inductive RelationCat : Prequotient F → Prequotient F → Prop-- Make it an equivalence relation:
 
   | refl : ∀ x, relation x x
   | symm : ∀ (x y) (h : relation x y), relation y x
@@ -132,23 +134,27 @@ inductive Relation : Prequotient F → Prequotient F → Prop-- Make it an equiv
   | mul_assoc : ∀ x y z, relation (mul (mul x y) z) (mul x (mul y z))
   | left_distrib : ∀ x y z, relation (mul x (add y z)) (add (mul x y) (mul x z))
   | right_distrib : ∀ x y z, relation (mul (add x y) z) (add (mul x z) (mul y z))
-#align CommRing.colimits.relation CommRingCat.Colimits.Relation
+#align CommRing.colimits.relation CommRingCat.Colimits.RelationCat
 
+#print CommRingCat.Colimits.colimitSetoid /-
 /-- The setoid corresponding to commutative expressions modulo monoid relations and identifications.
 -/
 def colimitSetoid : Setoid (Prequotient F)
     where
-  R := Relation F
-  iseqv := ⟨Relation.refl, Relation.symm, Relation.trans⟩
+  R := RelationCat F
+  iseqv := ⟨RelationCat.refl, RelationCat.symm, RelationCat.trans⟩
 #align CommRing.colimits.colimit_setoid CommRingCat.Colimits.colimitSetoid
+-/
 
 attribute [instance] colimit_setoid
 
+#print CommRingCat.Colimits.ColimitType /-
 /-- The underlying type of the colimit of a diagram in `CommRing`.
 -/
 def ColimitType : Type v :=
   Quotient (colimitSetoid F)deriving Inhabited
 #align CommRing.colimits.colimit_type CommRingCat.Colimits.ColimitType
+-/
 
 instance : AddGroup (ColimitType F)
     where
@@ -296,43 +302,87 @@ instance : CommRing (ColimitType F) :=
       rfl
       rfl }
 
+/- warning: CommRing.colimits.quot_zero -> CommRingCat.Colimits.quot_zero is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.zero.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (OfNat.mk.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (Zero.zero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (MulZeroClass.toHasZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))))))))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.zero.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 0 (Zero.toOfNat0.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommMonoidWithZero.toZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommSemiring.toCommMonoidWithZero.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toCommSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_zero CommRingCat.Colimits.quot_zeroₓ'. -/
 @[simp]
 theorem quot_zero : Quot.mk Setoid.r zero = (0 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_zero CommRingCat.Colimits.quot_zero
 
+/- warning: CommRing.colimits.quot_one -> CommRingCat.Colimits.quot_one is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.one.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (OfNat.mk.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (One.one.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddMonoidWithOne.toOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddGroupWithOne.toAddMonoidWithOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.addGroupWithOne.{u1} J _inst_1 F))))))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.one.{u1} J _inst_1 F)) (OfNat.ofNat.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) 1 (One.toOfNat1.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Semiring.toOne.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommSemiring.toSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toCommSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_one CommRingCat.Colimits.quot_oneₓ'. -/
 @[simp]
 theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_one CommRingCat.Colimits.quot_one
 
+/- warning: CommRing.colimits.quot_neg -> CommRingCat.Colimits.quot_neg is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.neg.{u1} J _inst_1 F x)) (Neg.neg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (SubNegMonoid.toHasNeg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (AddGroup.toSubNegMonoid.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.addGroup.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.neg.{u1} J _inst_1 F x)) (Neg.neg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNeg.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x))
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_negₓ'. -/
 @[simp]
 theorem quot_neg (x) : Quot.mk Setoid.r (neg x) = (-Quot.mk Setoid.r x : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg
 
+/- warning: CommRing.colimits.quot_add -> CommRingCat.Colimits.quot_add is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.add.{u1} J _inst_1 F x y)) (HAdd.hAdd.{u1, u1, u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (instHAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toHasAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.add.{u1} J _inst_1 F x y)) (Add.add.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toAdd.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocSemiring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_add CommRingCat.Colimits.quot_addₓ'. -/
 @[simp]
 theorem quot_add (x y) :
     Quot.mk Setoid.r (add x y) = (Quot.mk Setoid.r x + Quot.mk Setoid.r y : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_add CommRingCat.Colimits.quot_add
 
+/- warning: CommRing.colimits.quot_mul -> CommRingCat.Colimits.quot_mul is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.mul.{u1} J _inst_1 F x y)) (HMul.hMul.{u1, u1, u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (instHMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Distrib.toHasMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toDistrib.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.ColimitType.commRing.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (x : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (y : CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F), Eq.{succ u1} (Quot.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) (CommRingCat.Colimits.Prequotient.mul.{u1} J _inst_1 F x y)) (Mul.mul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonUnitalNonAssocRing.toMul.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (Ring.toNonAssocRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRing.toRing.{u1} (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F) (CommRingCat.Colimits.instCommRingColimitType.{u1} J _inst_1 F))))) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) x) (Quot.mk.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (Setoid.r.{succ u1} (CommRingCat.Colimits.Prequotient.{u1} J _inst_1 F) (CommRingCat.Colimits.colimitSetoid.{u1} J _inst_1 F)) y))
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.quot_mul CommRingCat.Colimits.quot_mulₓ'. -/
 @[simp]
 theorem quot_mul (x y) :
     Quot.mk Setoid.r (mul x y) = (Quot.mk Setoid.r x * Quot.mk Setoid.r y : ColimitType F) :=
   rfl
 #align CommRing.colimits.quot_mul CommRingCat.Colimits.quot_mul
 
+#print CommRingCat.Colimits.colimit /-
 /-- The bundled commutative ring giving the colimit of a diagram. -/
 def colimit : CommRingCat :=
   CommRingCat.of (ColimitType F)
 #align CommRing.colimits.colimit CommRingCat.Colimits.colimit
+-/
 
+/- warning: CommRing.colimits.cocone_fun -> CommRingCat.Colimits.coconeFun is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J), (coeSort.{succ (succ u1), succ (succ u1)} CommRingCat.{u1} Type.{u1} CommRingCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F)
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J), (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) -> (CommRingCat.Colimits.ColimitType.{u1} J _inst_1 F)
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_fun CommRingCat.Colimits.coconeFunₓ'. -/
 /-- The function from a given commutative ring in the diagram to the colimit commutative ring. -/
 def coconeFun (j : J) (x : F.obj j) : ColimitType F :=
   Quot.mk _ (of j x)
 #align CommRing.colimits.cocone_fun CommRingCat.Colimits.coconeFun
 
+/- warning: CommRing.colimits.cocone_morphism -> CommRingCat.Colimits.coconeMorphism is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J), Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J), Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphismₓ'. -/
 /-- The ring homomorphism from a given commutative ring in the diagram to the colimit commutative
 ring. -/
 def coconeMorphism (j : J) : F.obj j ⟶ colimit F
@@ -344,6 +394,12 @@ def coconeMorphism (j : J) : F.obj j ⟶ colimit F
   map_add' := by intros <;> apply Quot.sound <;> apply relation.add
 #align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphism
 
+/- warning: CommRing.colimits.cocone_naturality -> CommRingCat.Colimits.cocone_naturality is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) {j : J} {j' : J} (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j'), Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.CategoryStruct.comp.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F) (CategoryTheory.Functor.map.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j j' f) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j')) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j)
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) {j : J} {j' : J} (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j'), Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.CategoryStruct.comp.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j')) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j)
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturalityₓ'. -/
 @[simp]
 theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
     F.map f ≫ coconeMorphism F j' = coconeMorphism F j :=
@@ -353,6 +409,12 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
   apply Relation.Map
 #align CommRing.colimits.cocone_naturality CommRingCat.Colimits.cocone_naturality
 
+/- warning: CommRing.colimits.cocone_naturality_components -> CommRingCat.Colimits.cocone_naturality_components is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (j : J) (j' : J) (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j') (x : coeSort.{succ (succ u1), succ (succ u1)} CommRingCat.{u1} Type.{u1} CommRingCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)), Eq.{succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j') (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j') (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j'))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j')))))) (CategoryTheory.Functor.map.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j j' f) x)) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (fun (_x : RingHom.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} CommRingCat.largeCategory.{u1} F j))))) (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Ring.toSemiring.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toRing.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} CommRing.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} CommRing.{u1}) (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CategoryTheory.Bundled.str.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j) x)
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (j : J) (j' : J) (f : Quiver.Hom.{succ u1, u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) j j') (x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (a : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))))) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j') (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j')) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j'))))))))) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j j' f) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) => CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))))) (NonUnitalNonAssocSemiring.toMul.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)))))) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))) (RingHom.instRingHomClassRingHom.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j)) (CommRingCat.instCommRingα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 CommRingCat.{u1} instCommRingCatLargeCategory.{u1} F) j))))) (Semiring.toNonAssocSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommSemiring.toSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRing.toCommSemiring.{u1} (CategoryTheory.Bundled.α.{u1, u1} CommRing.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F)) (CommRingCat.instCommRingα.{u1} (CommRingCat.Colimits.colimit.{u1} J _inst_1 F))))))))) (CommRingCat.Colimits.coconeMorphism.{u1} J _inst_1 F j) x)
+Case conversion may be inaccurate. Consider using '#align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_componentsₓ'. -/
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
     (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x :=
@@ -361,12 +423,15 @@ theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
   rfl
 #align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_components
 
+#print CommRingCat.Colimits.colimitCocone /-
 /-- The cocone over the proposed colimit commutative ring. -/
 def colimitCocone : Cocone F where
   pt := colimit F
   ι := { app := coconeMorphism F }
 #align CommRing.colimits.colimit_cocone CommRingCat.Colimits.colimitCocone
+-/
 
+#print CommRingCat.Colimits.descFunLift /-
 /-- The function from the free commutative ring on the diagram to the cone point of any other
 cocone. -/
 @[simp]
@@ -378,7 +443,9 @@ def descFunLift (s : Cocone F) : Prequotient F → s.pt
   | add x y => desc_fun_lift x + desc_fun_lift y
   | mul x y => desc_fun_lift x * desc_fun_lift y
 #align CommRing.colimits.desc_fun_lift CommRingCat.Colimits.descFunLift
+-/
 
+#print CommRingCat.Colimits.descFun /-
 /-- The function from the colimit commutative ring to the cone point of any other cocone. -/
 def descFun (s : Cocone F) : ColimitType F → s.pt :=
   by
@@ -437,7 +504,9 @@ def descFun (s : Cocone F) : ColimitType F → s.pt :=
     -- right_distrib
     · rw [right_distrib]
 #align CommRing.colimits.desc_fun CommRingCat.Colimits.descFun
+-/
 
+#print CommRingCat.Colimits.descMorphism /-
 /-- The ring homomorphism from the colimit commutative ring to the cone point of any other
 cocone. -/
 def descMorphism (s : Cocone F) : colimit F ⟶ s.pt
@@ -448,7 +517,9 @@ def descMorphism (s : Cocone F) : colimit F ⟶ s.pt
   map_add' x y := by induction x <;> induction y <;> rfl
   map_mul' x y := by induction x <;> induction y <;> rfl
 #align CommRing.colimits.desc_morphism CommRingCat.Colimits.descMorphism
+-/
 
+#print CommRingCat.Colimits.colimitIsColimit /-
 /-- Evidence that the proposed colimit is the colimit. -/
 def colimitIsColimit : IsColimit (colimitCocone F)
     where
@@ -468,7 +539,9 @@ def colimitIsColimit : IsColimit (colimitCocone F)
     · simp [*]
     rfl
 #align CommRing.colimits.colimit_is_colimit CommRingCat.Colimits.colimitIsColimit
+-/
 
+#print CommRingCat.Colimits.hasColimits_commRingCat /-
 instance hasColimits_commRingCat : HasColimits CommRingCat
     where HasColimitsOfShape J 𝒥 :=
     {
@@ -477,6 +550,7 @@ instance hasColimits_commRingCat : HasColimits CommRingCat
           { Cocone := colimit_cocone F
             IsColimit := colimit_is_colimit F } }
 #align CommRing.colimits.has_colimits_CommRing CommRingCat.Colimits.hasColimits_commRingCat
+-/
 
 end CommRingCat.Colimits

70fd9563

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -363,14 +363,14 @@ theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
 
 /-- The cocone over the proposed colimit commutative ring. -/
 def colimitCocone : Cocone F where
-  x := colimit F
+  pt := colimit F
   ι := { app := coconeMorphism F }
 #align CommRing.colimits.colimit_cocone CommRingCat.Colimits.colimitCocone
 
 /-- The function from the free commutative ring on the diagram to the cone point of any other
 cocone. -/
 @[simp]
-def descFunLift (s : Cocone F) : Prequotient F → s.x
+def descFunLift (s : Cocone F) : Prequotient F → s.pt
   | of j x => (s.ι.app j) x
   | zero => 0
   | one => 1
@@ -380,7 +380,7 @@ def descFunLift (s : Cocone F) : Prequotient F → s.x
 #align CommRing.colimits.desc_fun_lift CommRingCat.Colimits.descFunLift
 
 /-- The function from the colimit commutative ring to the cone point of any other cocone. -/
-def descFun (s : Cocone F) : ColimitType F → s.x :=
+def descFun (s : Cocone F) : ColimitType F → s.pt :=
   by
   fapply Quot.lift
   · exact desc_fun_lift F s
@@ -440,7 +440,7 @@ def descFun (s : Cocone F) : ColimitType F → s.x :=
 
 /-- The ring homomorphism from the colimit commutative ring to the cone point of any other
 cocone. -/
-def descMorphism (s : Cocone F) : colimit F ⟶ s.x
+def descMorphism (s : Cocone F) : colimit F ⟶ s.pt
     where
   toFun := descFun F s
   map_one' := rfl

70fd9563

bump to nightly-2023-02-27-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

91d8c210

Diff

@@ -453,7 +453,7 @@ def descMorphism (s : Cocone F) : colimit F ⟶ s.x
 def colimitIsColimit : IsColimit (colimitCocone F)
     where
   desc s := descMorphism F s
-  uniq' s m w := by
+  uniq s m w := by
     ext
     induction x
     induction x

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

refactor: do not allow nsmul and zsmul to default automatically (#6262)

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

e42f78a9

Diff

@@ -140,16 +140,24 @@ def ColimitType : Type v :=
   Quotient (colimitSetoid F)
 #align CommRing.colimits.colimit_type CommRingCat.Colimits.ColimitType
 
+instance ColimitType.instZero : Zero (ColimitType F) where zero := Quotient.mk _ zero
+
+instance ColimitType.instAdd : Add (ColimitType F) where
+  add := Quotient.map₂ add <| fun _x x' rx y _y' ry =>
+    Setoid.trans (Relation.add_1 _ _ y rx) (Relation.add_2 x' _ _ ry)
+
+instance ColimitType.instNeg : Neg (ColimitType F) where
+  neg := Quotient.map neg Relation.neg_1
+
 instance ColimitType.AddGroup : AddGroup (ColimitType F) where
-  zero := Quotient.mk _ zero
   neg := Quotient.map neg Relation.neg_1
-  add := Quotient.map₂ add fun x x' rx y y' ry =>
-    Setoid.trans (Relation.add_1 _ _ y rx) (Relation.add_2 x' _ _ ry)
-  zero_add := Quotient.ind fun _ => Quotient.sound <| Relation.zero_add _
-  add_zero := Quotient.ind fun _ => Quotient.sound <| Relation.add_zero _
-  add_left_neg := Quotient.ind fun _ => Quotient.sound <| Relation.add_left_neg _
-  add_assoc := Quotient.ind fun _ => Quotient.ind₂ fun _ _ =>
+  zero_add := Quotient.ind <| fun _ => Quotient.sound <| Relation.zero_add _
+  add_zero := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_zero _
+  add_left_neg := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_left_neg _
+  add_assoc := Quotient.ind <| fun _ => Quotient.ind₂ <| fun _ _ =>
     Quotient.sound <| Relation.add_assoc _ _ _
+  nsmul := nsmulRec
+  zsmul := zsmulRec
 
 -- Porting note: failed to derive `Inhabited` instance
 instance InhabitedColimitType : Inhabited <| ColimitType F where

70fd9563

style: reduce spacing variation in "porting note" comments (#10886)

In this pull request, I have systematically eliminated the leading whitespace preceding the colon (:) within all unlabelled or unclassified porting notes. This adjustment facilitates a more efficient review process for the remaining notes by ensuring no entries are overlooked due to formatting inconsistencies.

86b84c52

Diff

@@ -151,7 +151,7 @@ instance ColimitType.AddGroup : AddGroup (ColimitType F) where
   add_assoc := Quotient.ind fun _ => Quotient.ind₂ fun _ _ =>
     Quotient.sound <| Relation.add_assoc _ _ _
 
--- Porting note : failed to derive `Inhabited` instance
+-- Porting note: failed to derive `Inhabited` instance
 instance InhabitedColimitType : Inhabited <| ColimitType F where
   default := 0
 
@@ -189,13 +189,13 @@ theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
 
 @[simp]
 theorem quot_neg (x : Prequotient F) :
-    -- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type
+    -- Porting note: Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type
     -- annotation unless we use `by exact` to change the elaboration order.
     (by exact Quot.mk Setoid.r (neg x) : ColimitType F) = -(by exact Quot.mk Setoid.r x) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg
 
--- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
+-- Porting note: Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
 -- unless we use `by exact` to change the elaboration order.
 @[simp]
 theorem quot_add (x y) :
@@ -204,7 +204,7 @@ theorem quot_add (x y) :
   rfl
 #align CommRing.colimits.quot_add CommRingCat.Colimits.quot_add
 
--- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
+-- Porting note: Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
 -- unless we use `by exact` to change the elaboration order.
 @[simp]
 theorem quot_mul (x y) :

70fd9563

chore: reduce imports (#9830)

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

f4c4ca61

Diff

@@ -5,7 +5,6 @@ Authors: Scott Morrison
 -/
 import Mathlib.Algebra.Category.Ring.Basic
 import Mathlib.CategoryTheory.Limits.HasLimits
-import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 
 #align_import algebra.category.Ring.colimits from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"

70fd9563

chore(*): drop $/<| before fun (#9361)

Subset of #9319

3694e27d

Diff

@@ -144,12 +144,12 @@ def ColimitType : Type v :=
 instance ColimitType.AddGroup : AddGroup (ColimitType F) where
   zero := Quotient.mk _ zero
   neg := Quotient.map neg Relation.neg_1
-  add := Quotient.map₂ add <| fun x x' rx y y' ry =>
+  add := Quotient.map₂ add fun x x' rx y y' ry =>
     Setoid.trans (Relation.add_1 _ _ y rx) (Relation.add_2 x' _ _ ry)
-  zero_add := Quotient.ind <| fun _ => Quotient.sound <| Relation.zero_add _
-  add_zero := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_zero _
-  add_left_neg := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_left_neg _
-  add_assoc := Quotient.ind <| fun _ => Quotient.ind₂ <| fun _ _ =>
+  zero_add := Quotient.ind fun _ => Quotient.sound <| Relation.zero_add _
+  add_zero := Quotient.ind fun _ => Quotient.sound <| Relation.add_zero _
+  add_left_neg := Quotient.ind fun _ => Quotient.sound <| Relation.add_left_neg _
+  add_assoc := Quotient.ind fun _ => Quotient.ind₂ fun _ _ =>
     Quotient.sound <| Relation.add_assoc _ _ _
 
 -- Porting note : failed to derive `Inhabited` instance

70fd9563

chore: space after ← (#8178)

Co-authored-by: Moritz Firsching <firsching@google.com>

5fb9beab

Diff

@@ -310,7 +310,7 @@ def descMorphism (s : Cocone F) : colimit F ⟶ s.pt where
   map_add' x y := by
     refine Quot.induction_on₂ x y fun a b => ?_
     dsimp [descFun]
-    rw [←quot_add]
+    rw [← quot_add]
     rfl
   map_mul' x y := by exact Quot.induction_on₂ x y fun a b => rfl
 #align CommRing.colimits.desc_morphism CommRingCat.Colimits.descMorphism

70fd9563

fix: remove references to non-heterogenous operators in theorem statements (#8086)

Some of these are likely porting errors. Statements should always be about the heterogenous versions because these are the ones with notation.

For places where we are abusing defeq, this debuts the trick of using (by exact a : B) = (by exact a1) + (by exact b2) to ensure the = and + are typed as B instead of A.

79da87bb

Diff

@@ -191,26 +191,26 @@ theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
 @[simp]
 theorem quot_neg (x : Prequotient F) :
     -- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type
-    -- annotation so use `Neg.neg (α := ColimitType F)` to tell Lean negation happens inside
-    -- `ColimitType F`.
-    (Quot.mk Setoid.r (neg x) : ColimitType F) =
-    Neg.neg (α := ColimitType F) (Quot.mk Setoid.r x) :=
+    -- annotation unless we use `by exact` to change the elaboration order.
+    (by exact Quot.mk Setoid.r (neg x) : ColimitType F) = -(by exact Quot.mk Setoid.r x) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg
 
 -- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
--- so use `Add.add (α := ColimitType F)` to tell Lean addition happens inside `ColimitType F`.
+-- unless we use `by exact` to change the elaboration order.
 @[simp]
 theorem quot_add (x y) :
-    Quot.mk Setoid.r (add x y) = Add.add (α := ColimitType F) (Quot.mk _ x) (Quot.mk _ y) :=
+    (by exact Quot.mk Setoid.r (add x y) : ColimitType F) =
+      (by exact Quot.mk _ x) + (by exact Quot.mk _ y) :=
   rfl
 #align CommRing.colimits.quot_add CommRingCat.Colimits.quot_add
 
 -- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
--- so use `Mul.mul (α := ColimitType F)` to tell Lean multiplication happens inside `ColimitType F`.
+-- unless we use `by exact` to change the elaboration order.
 @[simp]
 theorem quot_mul (x y) :
-    Quot.mk Setoid.r (mul x y) = Mul.mul (α := ColimitType F) (Quot.mk _ x) (Quot.mk _ y) :=
+    (by exact Quot.mk Setoid.r (mul x y) : ColimitType F) =
+      (by exact Quot.mk _ x) * (by exact Quot.mk _ y) :=
   rfl
 #align CommRing.colimits.quot_mul CommRingCat.Colimits.quot_mul
 
@@ -309,7 +309,7 @@ def descMorphism (s : Cocone F) : colimit F ⟶ s.pt where
   map_zero' := rfl
   map_add' x y := by
     refine Quot.induction_on₂ x y fun a b => ?_
-    dsimp [descFun, (· + ·)]
+    dsimp [descFun]
     rw [←quot_add]
     rfl
   map_mul' x y := by exact Quot.induction_on₂ x y fun a b => rfl

70fd9563

Revert "chore: revert #7703 (#7710)"

This reverts commit f3695eb2.

ab56fa28

Diff

@@ -325,11 +325,16 @@ def colimitIsColimit : IsColimit (colimitCocone F) where
     induction x with
     | zero => erw [quot_zero, map_zero (f := m), (descMorphism F s).map_zero]
     | one => erw [quot_one, map_one (f := m), (descMorphism F s).map_one]
-    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]
+    -- extra rfl with leanprover/lean4#2644
+    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]; rfl
     | of j x =>
       exact congr_fun (congr_arg (fun f : F.obj j ⟶ s.pt => (f : F.obj j → s.pt)) (w j)) x
-    | add x y ih_x ih_y => erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]
-    | mul x y ih_x ih_y => erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]
+    | add x y ih_x ih_y =>
+    -- extra rfl with leanprover/lean4#2644
+        erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]; rfl
+    | mul x y ih_x ih_y =>
+    -- extra rfl with leanprover/lean4#2644
+        erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]; rfl
 #align CommRing.colimits.colimit_is_colimit CommRingCat.Colimits.colimitIsColimit
 
 instance hasColimits_commRingCat : HasColimits CommRingCat where

70fd9563

chore: revert #7703 (#7710)

This reverts commit 26eb2b0a.

f3695eb2

Diff

@@ -325,16 +325,11 @@ def colimitIsColimit : IsColimit (colimitCocone F) where
     induction x with
     | zero => erw [quot_zero, map_zero (f := m), (descMorphism F s).map_zero]
     | one => erw [quot_one, map_one (f := m), (descMorphism F s).map_one]
-    -- extra rfl with leanprover/lean4#2644
-    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]; rfl
+    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]
     | of j x =>
       exact congr_fun (congr_arg (fun f : F.obj j ⟶ s.pt => (f : F.obj j → s.pt)) (w j)) x
-    | add x y ih_x ih_y =>
-    -- extra rfl with leanprover/lean4#2644
-        erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]; rfl
-    | mul x y ih_x ih_y =>
-    -- extra rfl with leanprover/lean4#2644
-        erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]; rfl
+    | add x y ih_x ih_y => erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]
+    | mul x y ih_x ih_y => erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]
 #align CommRing.colimits.colimit_is_colimit CommRingCat.Colimits.colimitIsColimit
 
 instance hasColimits_commRingCat : HasColimits CommRingCat where

70fd9563

chore: bump toolchain to v4.2.0-rc2 (#7703)

This includes all the changes from #7606.

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

26eb2b0a

Diff

@@ -325,11 +325,16 @@ def colimitIsColimit : IsColimit (colimitCocone F) where
     induction x with
     | zero => erw [quot_zero, map_zero (f := m), (descMorphism F s).map_zero]
     | one => erw [quot_one, map_one (f := m), (descMorphism F s).map_one]
-    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]
+    -- extra rfl with leanprover/lean4#2644
+    | neg x ih => erw [quot_neg, map_neg (f := m), (descMorphism F s).map_neg, ih]; rfl
     | of j x =>
       exact congr_fun (congr_arg (fun f : F.obj j ⟶ s.pt => (f : F.obj j → s.pt)) (w j)) x
-    | add x y ih_x ih_y => erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]
-    | mul x y ih_x ih_y => erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]
+    | add x y ih_x ih_y =>
+    -- extra rfl with leanprover/lean4#2644
+        erw [quot_add, map_add (f := m), (descMorphism F s).map_add, ih_x, ih_y]; rfl
+    | mul x y ih_x ih_y =>
+    -- extra rfl with leanprover/lean4#2644
+        erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]; rfl
 #align CommRing.colimits.colimit_is_colimit CommRingCat.Colimits.colimitIsColimit
 
 instance hasColimits_commRingCat : HasColimits CommRingCat where

70fd9563

chore: only four spaces for subsequent lines (#7286)

Co-authored-by: Moritz Firsching <firsching@google.com>

0c7d6fa5

Diff

@@ -190,9 +190,11 @@ theorem quot_one : Quot.mk Setoid.r one = (1 : ColimitType F) :=
 
 @[simp]
 theorem quot_neg (x : Prequotient F) :
--- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type annotation
--- so use `Neg.neg (α := ColimitType F)` to tell Lean negation happens inside `ColimitType F`.
-  (Quot.mk Setoid.r (neg x) : ColimitType F) = Neg.neg (α := ColimitType F) (Quot.mk Setoid.r x) :=
+    -- Porting note : Lean can't see `Quot.mk Setoid.r x` is a `ColimitType F` even with type
+    -- annotation so use `Neg.neg (α := ColimitType F)` to tell Lean negation happens inside
+    -- `ColimitType F`.
+    (Quot.mk Setoid.r (neg x) : ColimitType F) =
+    Neg.neg (α := ColimitType F) (Quot.mk Setoid.r x) :=
   rfl
 #align CommRing.colimits.quot_neg CommRingCat.Colimits.quot_neg

70fd9563

doc(Algebra/Category/MonCat/Colimits): label #print remarks as only working in Lean 3 (#7183)

This also fixes some markdown issues.

e10f5f89

Diff

@@ -29,7 +29,7 @@ open CategoryTheory.Limits
 -- You should pretend for now that this file was automatically generated.
 -- It follows the same template as colimits in Mon.
 /-
-`#print comm_ring` used to say:
+`#print comm_ring` in Lean 3 used to say:
 
 structure comm_ring : Type u → Type u
 fields:

70fd9563

chore: tidy various files (#6577)

837c4ae2

Diff

@@ -12,9 +12,10 @@ import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 /-!
 # The category of commutative rings has all colimits.
 
-This file uses a "pre-automated" approach, just as for `Mon/colimits.lean`.
+This file uses a "pre-automated" approach, just as for
+`Mathlib/Algebra/Category/MonCat/Colimits.lean`.
 It is a very uniform approach, that conceivably could be synthesised directly
-by a tactic that analyses the shape of `comm_ring` and `ring_hom`.
+by a tactic that analyses the shape of `CommRing` and `RingHom`.
 -/
 
 
@@ -28,7 +29,7 @@ open CategoryTheory.Limits
 -- You should pretend for now that this file was automatically generated.
 -- It follows the same template as colimits in Mon.
 /-
-`#print comm_ring` says:
+`#print comm_ring` used to say:
 
 structure comm_ring : Type u → Type u
 fields:
@@ -55,7 +56,7 @@ comm_ring.right_distrib : ∀ {α : Type u} [c : comm_ring α] (a b c_1 : α),
 namespace CommRingCat.Colimits
 
 /-!
-We build the colimit of a diagram in `CommRing` by constructing the
+We build the colimit of a diagram in `CommRingCat` by constructing the
 free commutative ring on the disjoint union of all the commutative rings in the diagram,
 then taking the quotient by the commutative ring laws within each commutative ring,
 and the identifications given by the morphisms in the diagram.
@@ -134,7 +135,7 @@ def colimitSetoid : Setoid (Prequotient F) where
 
 attribute [instance] colimitSetoid
 
-/-- The underlying type of the colimit of a diagram in `CommRing`.
+/-- The underlying type of the colimit of a diagram in `CommRingCat`.
 -/
 def ColimitType : Type v :=
   Quotient (colimitSetoid F)
@@ -242,8 +243,7 @@ theorem cocone_naturality {j j' : J} (f : j ⟶ j') :
 @[simp]
 theorem cocone_naturality_components (j j' : J) (f : j ⟶ j') (x : F.obj j) :
     (coconeMorphism F j') (F.map f x) = (coconeMorphism F j) x := by
-  rw [← cocone_naturality F f]
-  rfl
+  rw [← cocone_naturality F f, comp_apply]
 #align CommRing.colimits.cocone_naturality_components CommRingCat.Colimits.cocone_naturality_components
 
 /-- The cocone over the proposed colimit commutative ring. -/
@@ -330,13 +330,12 @@ def colimitIsColimit : IsColimit (colimitCocone F) where
     | mul x y ih_x ih_y => erw [quot_mul, map_mul (f := m), (descMorphism F s).map_mul, ih_x, ih_y]
 #align CommRing.colimits.colimit_is_colimit CommRingCat.Colimits.colimitIsColimit
 
-instance hasColimits_commRingCat : HasColimits CommRingCat
-  where has_colimits_of_shape _ _ :=
-  {
-    has_colimit := fun F =>
-      HasColimit.mk
-        { cocone := colimitCocone F
-          isColimit := colimitIsColimit F } }
+instance hasColimits_commRingCat : HasColimits CommRingCat where
+  has_colimits_of_shape _ _ :=
+    { has_colimit := fun F =>
+        HasColimit.mk
+          { cocone := colimitCocone F
+            isColimit := colimitIsColimit F } }
 #align CommRing.colimits.has_colimits_CommRing CommRingCat.Colimits.hasColimits_commRingCat
 
 end CommRingCat.Colimits

70fd9563

chore(Algebra/Category/*/Colimits): golf (#6265)

Found while doing a larger refactor. This doesn't change any defeqs, and the new proofs make it obvious that there's nothing interesting going on here.

427e0b19

Diff

@@ -140,45 +140,23 @@ def ColimitType : Type v :=
   Quotient (colimitSetoid F)
 #align CommRing.colimits.colimit_type CommRingCat.Colimits.ColimitType
 
+instance ColimitType.AddGroup : AddGroup (ColimitType F) where
+  zero := Quotient.mk _ zero
+  neg := Quotient.map neg Relation.neg_1
+  add := Quotient.map₂ add <| fun x x' rx y y' ry =>
+    Setoid.trans (Relation.add_1 _ _ y rx) (Relation.add_2 x' _ _ ry)
+  zero_add := Quotient.ind <| fun _ => Quotient.sound <| Relation.zero_add _
+  add_zero := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_zero _
+  add_left_neg := Quotient.ind <| fun _ => Quotient.sound <| Relation.add_left_neg _
+  add_assoc := Quotient.ind <| fun _ => Quotient.ind₂ <| fun _ _ =>
+    Quotient.sound <| Relation.add_assoc _ _ _
+
 -- Porting note : failed to derive `Inhabited` instance
 instance InhabitedColimitType : Inhabited <| ColimitType F where
-  default := Quot.mk _ zero
-
-instance ColimitType.AddGroup : AddGroup (ColimitType F) where
-  zero := Quot.mk _ zero
-  neg := by
-    fapply @Quot.lift
-    · intro x
-      exact Quot.mk _ (neg x)
-    · intro x x' r
-      apply Quot.sound
-      exact Relation.neg_1 _ _ r
-  add := by
-    fapply @Quot.lift _ _ (ColimitType F → ColimitType F)
-    · intro x
-      fapply @Quot.lift
-      · intro y
-        exact Quot.mk _ (add x y)
-      · intro y y' r
-        apply Quot.sound
-        exact Relation.add_2 _ _ _ r
-    · intro x x' r
-      funext y
-      refine Quot.inductionOn y ?_
-      exact fun _ => Quot.sound (Relation.add_1 _ _ _ r)
-  zero_add x := Quot.inductionOn x fun _ => Quot.sound (Relation.zero_add _)
-  add_zero x := Quot.inductionOn x fun _ => Quot.sound (Relation.add_zero _)
-  add_left_neg := Quot.ind fun x => by
-    simp only [(· + ·)]
-    exact Quot.sound (Relation.add_left_neg x)
-  add_assoc x y z := by
-    refine Quot.induction_on₃ x y z (fun a b c => ?_)
-    simp only [(· + ·)]
-    apply Quot.sound
-    apply Relation.add_assoc
+  default := 0
 
 instance ColimitType.AddGroupWithOne : AddGroupWithOne (ColimitType F) :=
-  { ColimitType.AddGroup F with one := Quot.mk _ one }
+  { ColimitType.AddGroup F with one := Quotient.mk _ one }
 
 instance : CommRing (ColimitType.{v} F) :=
   { ColimitType.AddGroupWithOne F with
@@ -187,9 +165,6 @@ instance : CommRing (ColimitType.{v} F) :=
     mul_one := fun x => Quot.inductionOn x fun x => Quot.sound <| Relation.mul_one _
     add_comm := fun x y => Quot.induction_on₂ x y fun x y => Quot.sound <| Relation.add_comm _ _
     mul_comm := fun x y => Quot.induction_on₂ x y fun x y => Quot.sound <| Relation.mul_comm _ _
-    add_assoc := fun x y z => Quot.induction_on₃ x y z fun x y z => by
-      simp only [(· + ·), Add.add]
-      exact Quot.sound (Relation.add_assoc _ _ _)
     mul_assoc := fun x y z => Quot.induction_on₃ x y z fun x y z => by
       simp only [(· * ·)]
       exact Quot.sound (Relation.mul_assoc _ _ _)

70fd9563

chore: use · instead of . (#6085)

898a8e78

Diff

@@ -169,11 +169,11 @@ instance ColimitType.AddGroup : AddGroup (ColimitType F) where
   zero_add x := Quot.inductionOn x fun _ => Quot.sound (Relation.zero_add _)
   add_zero x := Quot.inductionOn x fun _ => Quot.sound (Relation.add_zero _)
   add_left_neg := Quot.ind fun x => by
-    simp only [(. + .)]
+    simp only [(· + ·)]
     exact Quot.sound (Relation.add_left_neg x)
   add_assoc x y z := by
     refine Quot.induction_on₃ x y z (fun a b c => ?_)
-    simp only [(. + .)]
+    simp only [(· + ·)]
     apply Quot.sound
     apply Relation.add_assoc
 
@@ -188,18 +188,18 @@ instance : CommRing (ColimitType.{v} F) :=
     add_comm := fun x y => Quot.induction_on₂ x y fun x y => Quot.sound <| Relation.add_comm _ _
     mul_comm := fun x y => Quot.induction_on₂ x y fun x y => Quot.sound <| Relation.mul_comm _ _
     add_assoc := fun x y z => Quot.induction_on₃ x y z fun x y z => by
-      simp only [(. + .), Add.add]
+      simp only [(· + ·), Add.add]
       exact Quot.sound (Relation.add_assoc _ _ _)
     mul_assoc := fun x y z => Quot.induction_on₃ x y z fun x y z => by
-      simp only [(. * .)]
+      simp only [(· * ·)]
       exact Quot.sound (Relation.mul_assoc _ _ _)
     mul_zero := fun x => Quot.inductionOn x fun x => Quot.sound <| Relation.mul_zero _
     zero_mul := fun x => Quot.inductionOn x fun x => Quot.sound <| Relation.zero_mul _
     left_distrib := fun x y z => Quot.induction_on₃ x y z fun x y z => by
-      simp only [(. + .), (. * .), Add.add]
+      simp only [(· + ·), (· * ·), Add.add]
       exact Quot.sound (Relation.left_distrib _ _ _)
     right_distrib := fun x y z => Quot.induction_on₃ x y z fun x y z => by
-      simp only [(. + .), (. * .), Add.add]
+      simp only [(· + ·), (· * ·), Add.add]
       exact Quot.sound (Relation.right_distrib _ _ _) }
 
 @[simp]
@@ -332,7 +332,7 @@ def descMorphism (s : Cocone F) : colimit F ⟶ s.pt where
   map_zero' := rfl
   map_add' x y := by
     refine Quot.induction_on₂ x y fun a b => ?_
-    dsimp [descFun, (. + .)]
+    dsimp [descFun, (· + ·)]
     rw [←quot_add]
     rfl
   map_mul' x y := by exact Quot.induction_on₂ x y fun a b => rfl

70fd9563

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Ring.colimits
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Category.Ring.Basic
 import Mathlib.CategoryTheory.Limits.HasLimits
 import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 
+#align_import algebra.category.Ring.colimits from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # The category of commutative rings has all colimits.

70fd9563

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

@@ -253,10 +253,10 @@ def coconeFun (j : J) (x : F.obj j) : ColimitType F :=
 ring. -/
 def coconeMorphism (j : J) : F.obj j ⟶ colimit F where
   toFun := coconeFun F j
-  map_one' := by apply Quot.sound ; apply Relation.one
-  map_mul' := by intros ; apply Quot.sound ; apply Relation.mul
-  map_zero' := by apply Quot.sound ; apply Relation.zero
-  map_add' := by intros ; apply Quot.sound ; apply Relation.add
+  map_one' := by apply Quot.sound; apply Relation.one
+  map_mul' := by intros; apply Quot.sound; apply Relation.mul
+  map_zero' := by apply Quot.sound; apply Relation.zero
+  map_add' := by intros; apply Quot.sound; apply Relation.add
 #align CommRing.colimits.cocone_morphism CommRingCat.Colimits.coconeMorphism
 
 @[simp]

70fd9563

feat: port Algebra.Category.Ring.Colimits (#4164)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

b2a93020

`algebra.category.Ring.colimits` ⟷ `Mathlib.Algebra.Category.Ring.Colimits`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 242

algebra.category.Ring.colimits ⟷ Mathlib.Algebra.Category.Ring.Colimits

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 242

`algebra.category.Ring.colimits` ⟷ `Mathlib.Algebra.Category.Ring.Colimits`