category_theory.subobject.basicMathlib.CategoryTheory.Subobject.Basic

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -668,7 +668,7 @@ theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
 #align category_theory.subobject.pullback_comp CategoryTheory.Subobject.pullback_comp
 -/
 
-instance (f : X ⟶ Y) : Faithful (pullback f) where
+instance (f : X ⟶ Y) : CategoryTheory.Functor.Faithful (pullback f) where
 
 end Pullback
 
Diff
@@ -725,11 +725,11 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
   map_rel_iff' A B := by
     dsimp; fconstructor
     · intro h
-      apply_fun (map e.inv).obj at h 
-      simp_rw [← map_comp, e.hom_inv_id, map_id] at h 
+      apply_fun (map e.inv).obj at h
+      simp_rw [← map_comp, e.hom_inv_id, map_id] at h
       exact h
     · intro h
-      apply_fun (map e.hom).obj at h 
+      apply_fun (map e.hom).obj at h
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 -/
Diff
@@ -3,11 +3,11 @@ Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
 -/
-import Mathbin.CategoryTheory.Subobject.MonoOver
-import Mathbin.CategoryTheory.Skeletal
-import Mathbin.CategoryTheory.ConcreteCategory.Basic
-import Mathbin.Tactic.ApplyFun
-import Mathbin.Tactic.Elementwise
+import CategoryTheory.Subobject.MonoOver
+import CategoryTheory.Skeletal
+import CategoryTheory.ConcreteCategory.Basic
+import Tactic.ApplyFun
+import Tactic.Elementwise
 
 #align_import category_theory.subobject.basic from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
 
Diff
@@ -2,11 +2,6 @@
 Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.subobject.basic
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Subobject.MonoOver
 import Mathbin.CategoryTheory.Skeletal
@@ -14,6 +9,8 @@ import Mathbin.CategoryTheory.ConcreteCategory.Basic
 import Mathbin.Tactic.ApplyFun
 import Mathbin.Tactic.Elementwise
 
+#align_import category_theory.subobject.basic from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
+
 /-!
 # Subobjects
 
Diff
@@ -157,18 +157,22 @@ protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mon
 #align category_theory.subobject.lift CategoryTheory.Subobject.lift
 -/
 
+#print CategoryTheory.Subobject.lift_mk /-
 @[simp]
 protected theorem lift_mk {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α) {h A}
     (f : A ⟶ X) [Mono f] : Subobject.lift F h (Subobject.mk f) = F f :=
   rfl
 #align category_theory.subobject.lift_mk CategoryTheory.Subobject.lift_mk
+-/
 
+#print CategoryTheory.Subobject.equivMonoOver /-
 /-- The category of subobjects is equivalent to the `mono_over` category. It is more convenient to
 use the former due to the partial order instance, but oftentimes it is easier to define structures
 on the latter. -/
 noncomputable def equivMonoOver (X : C) : Subobject X ≌ MonoOver X :=
   ThinSkeleton.equivalence _
 #align category_theory.subobject.equiv_mono_over CategoryTheory.Subobject.equivMonoOver
+-/
 
 #print CategoryTheory.Subobject.representative /-
 /-- Use choice to pick a representative `mono_over X` for each `subobject X`.
@@ -178,6 +182,7 @@ noncomputable def representative {X : C} : Subobject X ⥤ MonoOver X :=
 #align category_theory.subobject.representative CategoryTheory.Subobject.representative
 -/
 
+#print CategoryTheory.Subobject.representativeIso /-
 /-- Starting with `A : mono_over X`, we can take its equivalence class in `subobject X`
 then pick an arbitrary representative using `representative.obj`.
 This is isomorphic (in `mono_over X`) to the original `A`.
@@ -186,6 +191,7 @@ noncomputable def representativeIso {X : C} (A : MonoOver X) :
     representative.obj ((toThinSkeleton _).obj A) ≅ A :=
   (equivMonoOver X).counitIso.app A
 #align category_theory.subobject.representative_iso CategoryTheory.Subobject.representativeIso
+-/
 
 #print CategoryTheory.Subobject.underlying /-
 /-- Use choice to pick a representative underlying object in `C` for any `subobject X`.
@@ -204,6 +210,7 @@ theorem underlying_as_coe {X : C} (P : Subobject X) : underlying.obj P = P :=
   rfl
 #align category_theory.subobject.underlying_as_coe CategoryTheory.Subobject.underlying_as_coe
 
+#print CategoryTheory.Subobject.underlyingIso /-
 /-- If we construct a `subobject Y` from an explicit `f : X ⟶ Y` with `[mono f]`,
 then pick an arbitrary choice of underlying object `(subobject.mk f : C)` back in `C`,
 it is isomorphic (in `C`) to the original `X`.
@@ -211,51 +218,69 @@ it is isomorphic (in `C`) to the original `X`.
 noncomputable def underlyingIso {X Y : C} (f : X ⟶ Y) [Mono f] : (Subobject.mk f : C) ≅ X :=
   (MonoOver.forget _ ⋙ Over.forget _).mapIso (representativeIso (MonoOver.mk' f))
 #align category_theory.subobject.underlying_iso CategoryTheory.Subobject.underlyingIso
+-/
 
+#print CategoryTheory.Subobject.arrow /-
 /-- The morphism in `C` from the arbitrarily chosen underlying object to the ambient object.
 -/
 noncomputable def arrow {X : C} (Y : Subobject X) : (Y : C) ⟶ X :=
   (representative.obj Y).obj.Hom
 #align category_theory.subobject.arrow CategoryTheory.Subobject.arrow
+-/
 
+#print CategoryTheory.Subobject.arrow_mono /-
 instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
   (representative.obj Y).property
 #align category_theory.subobject.arrow_mono CategoryTheory.Subobject.arrow_mono
+-/
 
+#print CategoryTheory.Subobject.arrow_congr /-
 @[simp]
 theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
     eqToHom (congr_arg (fun X : Subobject A => (X : C)) h) ≫ Y.arrow = X.arrow := by induction h;
   simp
 #align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congr
+-/
 
+#print CategoryTheory.Subobject.representative_coe /-
 @[simp]
 theorem representative_coe (Y : Subobject X) : (representative.obj Y : C) = (Y : C) :=
   rfl
 #align category_theory.subobject.representative_coe CategoryTheory.Subobject.representative_coe
+-/
 
+#print CategoryTheory.Subobject.representative_arrow /-
 @[simp]
 theorem representative_arrow (Y : Subobject X) : (representative.obj Y).arrow = Y.arrow :=
   rfl
 #align category_theory.subobject.representative_arrow CategoryTheory.Subobject.representative_arrow
+-/
 
+#print CategoryTheory.Subobject.underlying_arrow /-
 @[simp, reassoc]
 theorem underlying_arrow {X : C} {Y Z : Subobject X} (f : Y ⟶ Z) :
     underlying.map f ≫ arrow Z = arrow Y :=
   Over.w (representative.map f)
 #align category_theory.subobject.underlying_arrow CategoryTheory.Subobject.underlying_arrow
+-/
 
+#print CategoryTheory.Subobject.underlyingIso_arrow /-
 @[simp, reassoc, elementwise]
 theorem underlyingIso_arrow {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).inv ≫ (Subobject.mk f).arrow = f :=
   Over.w _
 #align category_theory.subobject.underlying_iso_arrow CategoryTheory.Subobject.underlyingIso_arrow
+-/
 
+#print CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk /-
 @[simp, reassoc]
 theorem underlyingIso_hom_comp_eq_mk {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).Hom ≫ f = (mk f).arrow :=
   (Iso.eq_inv_comp _).1 (underlyingIso_arrow f).symm
 #align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk
+-/
 
+#print CategoryTheory.Subobject.eq_of_comp_arrow_eq /-
 /-- Two morphisms into a subobject are equal exactly if
 the morphisms into the ambient object are equal -/
 @[ext]
@@ -263,6 +288,7 @@ theorem eq_of_comp_arrow_eq {X Y : C} {P : Subobject Y} {f g : X ⟶ P}
     (h : f ≫ P.arrow = g ≫ P.arrow) : f = g :=
   (cancel_mono P.arrow).mp h
 #align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eq
+-/
 
 #print CategoryTheory.Subobject.mk_le_mk_of_comm /-
 theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂] (g : A₁ ⟶ A₂)
@@ -271,6 +297,7 @@ theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶
 #align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_comm
 -/
 
+#print CategoryTheory.Subobject.mk_arrow /-
 @[simp]
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
   Quotient.inductionOn' P fun Q =>
@@ -278,21 +305,29 @@ theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
     obtain ⟨e⟩ := @Quotient.mk_out' _ (is_isomorphic_setoid _) Q
     refine' Quotient.sound' ⟨mono_over.iso_mk _ _ ≪≫ e⟩ <;> tidy
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
+-/
 
+#print CategoryTheory.Subobject.le_of_comm /-
 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
     X ≤ Y := by convert mk_le_mk_of_comm _ w <;> simp
 #align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_comm
+-/
 
+#print CategoryTheory.Subobject.le_mk_of_comm /-
 theorem le_mk_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : (X : C) ⟶ A)
     (w : g ≫ f = X.arrow) : X ≤ mk f :=
   le_of_comm (g ≫ (underlyingIso f).inv) <| by simp [w]
 #align category_theory.subobject.le_mk_of_comm CategoryTheory.Subobject.le_mk_of_comm
+-/
 
+#print CategoryTheory.Subobject.mk_le_of_comm /-
 theorem mk_le_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : A ⟶ (X : C))
     (w : g ≫ X.arrow = f) : mk f ≤ X :=
   le_of_comm ((underlyingIso f).Hom ≫ g) <| by simp [w]
 #align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_comm
+-/
 
+#print CategoryTheory.Subobject.eq_of_comm /-
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -300,7 +335,9 @@ theorem eq_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ≅ (Y : C))
     (w : f.Hom ≫ Y.arrow = X.arrow) : X = Y :=
   le_antisymm (le_of_comm f.Hom w) <| le_of_comm f.inv <| f.inv_comp_eq.2 w.symm
 #align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_comm
+-/
 
+#print CategoryTheory.Subobject.eq_mk_of_comm /-
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -308,7 +345,9 @@ theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X
     (w : i.Hom ≫ f = X.arrow) : X = mk f :=
   eq_of_comm (i.trans (underlyingIso f).symm) <| by simp [w]
 #align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_comm
+-/
 
+#print CategoryTheory.Subobject.mk_eq_of_comm /-
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -316,6 +355,7 @@ theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A
     (w : i.Hom ≫ X.arrow = f) : mk f = X :=
   Eq.symm <| eq_mk_of_comm _ i.symm <| by rw [iso.symm_hom, iso.inv_comp_eq, w]
 #align category_theory.subobject.mk_eq_of_comm CategoryTheory.Subobject.mk_eq_of_comm
+-/
 
 #print CategoryTheory.Subobject.mk_eq_mk_of_comm /-
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
@@ -327,6 +367,7 @@ theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mo
 #align category_theory.subobject.mk_eq_mk_of_comm CategoryTheory.Subobject.mk_eq_mk_of_comm
 -/
 
+#print CategoryTheory.Subobject.ofLE /-
 -- We make `X` and `Y` explicit arguments here so that when `of_le` appears in goal statements
 -- it is possible to see its source and target
 -- (`h` will just display as `_`, because it is in `Prop`).
@@ -334,11 +375,14 @@ theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mo
 def ofLE {B : C} (X Y : Subobject B) (h : X ≤ Y) : (X : C) ⟶ (Y : C) :=
   underlying.map <| h.Hom
 #align category_theory.subobject.of_le CategoryTheory.Subobject.ofLE
+-/
 
+#print CategoryTheory.Subobject.ofLE_arrow /-
 @[simp, reassoc]
 theorem ofLE_arrow {B : C} {X Y : Subobject B} (h : X ≤ Y) : ofLE X Y h ≫ Y.arrow = X.arrow :=
   underlying_arrow _
 #align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrow
+-/
 
 instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
   by
@@ -348,33 +392,43 @@ instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
   ext
   simpa using w
 
+#print CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm /-
 theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
     (g : A₁ ⟶ A₂) (w : g ≫ f₂ = f₁) :
     ofLE _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv := by ext;
   simp [w]
 #align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm
+-/
 
+#print CategoryTheory.Subobject.ofLEMk /-
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofLEMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) : (X : C) ⟶ A :=
   ofLE X (mk f) h ≫ (underlyingIso f).Hom
 deriving Mono
 #align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMk
+-/
 
+#print CategoryTheory.Subobject.ofLEMk_comp /-
 @[simp]
 theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X ≤ mk f) :
     ofLEMk X f h ≫ f = X.arrow := by simp [of_le_mk]
 #align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLEMk_comp
+-/
 
+#print CategoryTheory.Subobject.ofMkLE /-
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLE {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) : A ⟶ (X : C) :=
   (underlyingIso f).inv ≫ ofLE (mk f) X h
 deriving Mono
 #align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLE
+-/
 
+#print CategoryTheory.Subobject.ofMkLE_arrow /-
 @[simp]
 theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk f ≤ X) :
     ofMkLE f X h ≫ X.arrow = f := by simp [of_mk_le]
 #align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrow
+-/
 
 #print CategoryTheory.Subobject.ofMkLEMk /-
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
@@ -392,50 +446,64 @@ theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono
 #align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
 -/
 
+#print CategoryTheory.Subobject.ofLE_comp_ofLE /-
 @[simp, reassoc]
 theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
     ofLE X Y h₁ ≫ ofLE Y Z h₂ = ofLE X Z (h₁.trans h₂) := by
   simp [of_le, ← functor.map_comp underlying]
 #align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLE
+-/
 
+#print CategoryTheory.Subobject.ofLE_comp_ofLEMk /-
 @[simp, reassoc]
 theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h₁ : X ≤ Y)
     (h₂ : Y ≤ mk f) : ofLE X Y h₁ ≫ ofLEMk Y f h₂ = ofLEMk X f (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMk
+-/
 
+#print CategoryTheory.Subobject.ofLEMk_comp_ofMkLE /-
 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
     (h₁ : X ≤ mk f) (h₂ : mk f ≤ Y) : ofLEMk X f h₁ ≫ ofMkLE f Y h₂ = ofLE X Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp underlying]
 #align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLE
+-/
 
+#print CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk /-
 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
     [Mono g] (h₁ : X ≤ mk f) (h₂ : mk f ≤ mk g) :
     ofLEMk X f h₁ ≫ ofMkLEMk f g h₂ = ofLEMk X g (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk
+-/
 
+#print CategoryTheory.Subobject.ofMkLE_comp_ofLE /-
 @[simp, reassoc]
 theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject B) (h₁ : mk f ≤ X)
     (h₂ : X ≤ Y) : ofMkLE f X h₁ ≫ ofLE X Y h₂ = ofMkLE f Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLE
+-/
 
+#print CategoryTheory.Subobject.ofMkLE_comp_ofLEMk /-
 @[simp, reassoc]
 theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
     [Mono g] (h₁ : mk f ≤ X) (h₂ : X ≤ mk g) :
     ofMkLE f X h₁ ≫ ofLEMk X g h₂ = ofMkLEMk f g (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMk
+-/
 
+#print CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE /-
 @[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (X : Subobject B) (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ X) :
     ofMkLEMk f g h₁ ≫ ofMkLE g X h₂ = ofMkLE f X (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE
+-/
 
 #print CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk /-
 @[simp, reassoc]
@@ -446,10 +514,12 @@ theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk
 -/
 
+#print CategoryTheory.Subobject.ofLE_refl /-
 @[simp]
 theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ := by
   apply (cancel_mono X.arrow).mp; simp
 #align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLE_refl
+-/
 
 #print CategoryTheory.Subobject.ofMkLEMk_refl /-
 @[simp]
@@ -458,6 +528,7 @@ theorem ofMkLEMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLEMk f f le_r
 #align category_theory.subobject.of_mk_le_mk_refl CategoryTheory.Subobject.ofMkLEMk_refl
 -/
 
+#print CategoryTheory.Subobject.isoOfEq /-
 -- As with `of_le`, we have `X` and `Y` as explicit arguments for readability.
 /-- An equality of subobjects gives an isomorphism of the corresponding objects.
 (One could use `underlying.map_iso (eq_to_iso h))` here, but this is more readable.) -/
@@ -467,7 +538,9 @@ def isoOfEq {B : C} (X Y : Subobject B) (h : X = Y) : (X : C) ≅ (Y : C)
   Hom := ofLE _ _ h.le
   inv := ofLE _ _ h.ge
 #align category_theory.subobject.iso_of_eq CategoryTheory.Subobject.isoOfEq
+-/
 
+#print CategoryTheory.Subobject.isoOfEqMk /-
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfEqMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X = mk f) : (X : C) ≅ A
@@ -475,7 +548,9 @@ def isoOfEqMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X = mk f)
   Hom := ofLEMk X f h.le
   inv := ofMkLE f X h.ge
 #align category_theory.subobject.iso_of_eq_mk CategoryTheory.Subobject.isoOfEqMk
+-/
 
+#print CategoryTheory.Subobject.isoOfMkEq /-
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfMkEq {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f = X) : A ≅ (X : C)
@@ -483,6 +558,7 @@ def isoOfMkEq {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f = X)
   Hom := ofMkLE f X h.le
   inv := ofLEMk X f h.ge
 #align category_theory.subobject.iso_of_mk_eq CategoryTheory.Subobject.isoOfMkEq
+-/
 
 #print CategoryTheory.Subobject.isoOfMkEqMk /-
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
@@ -541,6 +617,7 @@ def lowerAdjunction {A : C} {B : D} {L : MonoOver A ⥤ MonoOver B} {R : MonoOve
 #align category_theory.subobject.lower_adjunction CategoryTheory.Subobject.lowerAdjunction
 -/
 
+#print CategoryTheory.Subobject.lowerEquivalence /-
 /-- An equivalence between `mono_over A` and `mono_over B` gives an equivalence
 between `subobject A` and `subobject B`. -/
 @[simps]
@@ -559,6 +636,7 @@ def lowerEquivalence {A : C} {B : D} (e : MonoOver A ≌ MonoOver B) : Subobject
     · exact (thin_skeleton.map_comp_eq _ _).symm
     · exact thin_skeleton.map_id_eq.symm
 #align category_theory.subobject.lower_equivalence CategoryTheory.Subobject.lowerEquivalence
+-/
 
 section Pullback
 
@@ -572,6 +650,7 @@ def pullback (f : X ⟶ Y) : Subobject Y ⥤ Subobject X :=
 #align category_theory.subobject.pullback CategoryTheory.Subobject.pullback
 -/
 
+#print CategoryTheory.Subobject.pullback_id /-
 theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -579,7 +658,9 @@ theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   apply Quotient.sound
   exact ⟨mono_over.pullback_id.app f⟩
 #align category_theory.subobject.pullback_id CategoryTheory.Subobject.pullback_id
+-/
 
+#print CategoryTheory.Subobject.pullback_comp /-
 theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
     (pullback (f ≫ g)).obj x = (pullback f).obj ((pullback g).obj x) :=
   by
@@ -588,6 +669,7 @@ theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
   apply Quotient.sound
   refine' ⟨(mono_over.pullback_comp _ _).app t⟩
 #align category_theory.subobject.pullback_comp CategoryTheory.Subobject.pullback_comp
+-/
 
 instance (f : X ⟶ Y) : Faithful (pullback f) where
 
@@ -604,6 +686,7 @@ def map (f : X ⟶ Y) [Mono f] : Subobject X ⥤ Subobject Y :=
 #align category_theory.subobject.map CategoryTheory.Subobject.map
 -/
 
+#print CategoryTheory.Subobject.map_id /-
 theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -611,7 +694,9 @@ theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   apply Quotient.sound
   exact ⟨mono_over.map_id.app f⟩
 #align category_theory.subobject.map_id CategoryTheory.Subobject.map_id
+-/
 
+#print CategoryTheory.Subobject.map_comp /-
 theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X) :
     (map (f ≫ g)).obj x = (map g).obj ((map f).obj x) :=
   by
@@ -620,11 +705,14 @@ theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X)
   apply Quotient.sound
   refine' ⟨(mono_over.map_comp _ _).app t⟩
 #align category_theory.subobject.map_comp CategoryTheory.Subobject.map_comp
+-/
 
+#print CategoryTheory.Subobject.mapIso /-
 /-- Isomorphic objects have equivalent subobject lattices. -/
 def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
+-/
 
 #print CategoryTheory.Subobject.mapIsoToOrderIso /-
 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
@@ -649,17 +737,21 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 -/
 
+#print CategoryTheory.Subobject.mapIsoToOrderIso_apply /-
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
     mapIsoToOrderIso e P = (map e.Hom).obj P :=
   rfl
 #align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_apply
+-/
 
+#print CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply /-
 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
     (mapIsoToOrderIso e).symm Q = (map e.inv).obj Q :=
   rfl
 #align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply
+-/
 
 #print CategoryTheory.Subobject.mapPullbackAdj /-
 /-- `map f : subobject X ⥤ subobject Y` is
@@ -669,6 +761,7 @@ def mapPullbackAdj [HasPullbacks C] (f : X ⟶ Y) [Mono f] : map f ⊣ pullback
 #align category_theory.subobject.map_pullback_adj CategoryTheory.Subobject.mapPullbackAdj
 -/
 
+#print CategoryTheory.Subobject.pullback_map_self /-
 @[simp]
 theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject X) :
     (pullback f).obj ((map f).obj g) = g := by
@@ -678,7 +771,9 @@ theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject
   apply Quotient.sound
   exact ⟨(mono_over.pullback_map_self f).app _⟩
 #align category_theory.subobject.pullback_map_self CategoryTheory.Subobject.pullback_map_self
+-/
 
+#print CategoryTheory.Subobject.map_pullback /-
 theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z} {h : Y ⟶ W} {k : Z ⟶ W}
     [Mono h] [Mono g] (comm : f ≫ h = g ≫ k) (t : IsLimit (PullbackCone.mk f g comm))
     (p : Subobject Y) : (map g).obj ((pullback f).obj p) = (pullback k).obj ((map h).obj p) :=
@@ -701,6 +796,7 @@ theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z}
     · dsimp; rw [pullback.lift_snd_assoc]
       apply (pullback_cone.is_limit.lift' _ _ _ _).2.2
 #align category_theory.subobject.map_pullback CategoryTheory.Subobject.map_pullback
+-/
 
 end Map
 
Diff
@@ -640,11 +640,11 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
   map_rel_iff' A B := by
     dsimp; fconstructor
     · intro h
-      apply_fun (map e.inv).obj  at h 
+      apply_fun (map e.inv).obj at h 
       simp_rw [← map_comp, e.hom_inv_id, map_id] at h 
       exact h
     · intro h
-      apply_fun (map e.hom).obj  at h 
+      apply_fun (map e.hom).obj at h 
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 -/
Diff
@@ -103,7 +103,8 @@ with morphisms becoming inequalities, and isomorphisms becoming equations.
 /-- The category of subobjects of `X : C`, defined as isomorphism classes of monomorphisms into `X`.
 -/
 def Subobject (X : C) :=
-  ThinSkeleton (MonoOver X)deriving PartialOrder, Category
+  ThinSkeleton (MonoOver X)
+deriving PartialOrder, Category
 #align category_theory.subobject CategoryTheory.Subobject
 -/
 
@@ -355,7 +356,8 @@ theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂
 
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofLEMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) : (X : C) ⟶ A :=
-  ofLE X (mk f) h ≫ (underlyingIso f).Hom deriving Mono
+  ofLE X (mk f) h ≫ (underlyingIso f).Hom
+deriving Mono
 #align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMk
 
 @[simp]
@@ -365,7 +367,8 @@ theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X 
 
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLE {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) : A ⟶ (X : C) :=
-  (underlyingIso f).inv ≫ ofLE (mk f) X h deriving Mono
+  (underlyingIso f).inv ≫ ofLE (mk f) X h
+deriving Mono
 #align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLE
 
 @[simp]
@@ -377,7 +380,8 @@ theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
     A₁ ⟶ A₂ :=
-  (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
+  (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom
+deriving Mono
 #align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk
 -/
 
@@ -636,11 +640,11 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
   map_rel_iff' A B := by
     dsimp; fconstructor
     · intro h
-      apply_fun (map e.inv).obj  at h
-      simp_rw [← map_comp, e.hom_inv_id, map_id] at h
+      apply_fun (map e.inv).obj  at h 
+      simp_rw [← map_comp, e.hom_inv_id, map_id] at h 
       exact h
     · intro h
-      apply_fun (map e.hom).obj  at h
+      apply_fun (map e.hom).obj  at h 
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 -/
Diff
@@ -263,10 +263,12 @@ theorem eq_of_comp_arrow_eq {X Y : C} {P : Subobject Y} {f g : X ⟶ P}
   (cancel_mono P.arrow).mp h
 #align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eq
 
+#print CategoryTheory.Subobject.mk_le_mk_of_comm /-
 theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂] (g : A₁ ⟶ A₂)
     (w : g ≫ f₂ = f₁) : mk f₁ ≤ mk f₂ :=
   ⟨MonoOver.homMk _ w⟩
 #align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_comm
+-/
 
 @[simp]
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
@@ -371,16 +373,20 @@ theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk
     ofMkLE f X h ≫ X.arrow = f := by simp [of_mk_le]
 #align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrow
 
+#print CategoryTheory.Subobject.ofMkLEMk /-
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
     A₁ ⟶ A₂ :=
   (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
 #align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk
+-/
 
+#print CategoryTheory.Subobject.ofMkLEMk_comp /-
 @[simp]
 theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono f] [Mono g] (h : mk f ≤ mk g) :
     ofMkLEMk f g h ≫ g = f := by simp [of_mk_le_mk]
 #align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
+-/
 
 @[simp, reassoc]
 theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
@@ -427,12 +433,14 @@ theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE
 
+#print CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk /-
 @[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (h : A₃ ⟶ B) [Mono h] (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ mk h) :
     ofMkLEMk f g h₁ ≫ ofMkLEMk g h h₂ = ofMkLEMk f h (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk
+-/
 
 @[simp]
 theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ := by
@@ -614,6 +622,7 @@ def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
 
+#print CategoryTheory.Subobject.mapIsoToOrderIso /-
 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
 -- whose left hand side is not in simp normal form.
 /-- In fact, there's a type level bijection between the subobjects of isomorphic objects,
@@ -634,6 +643,7 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
       apply_fun (map e.hom).obj  at h
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
+-/
 
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
Diff
@@ -156,24 +156,12 @@ protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mon
 #align category_theory.subobject.lift CategoryTheory.Subobject.lift
 -/
 
-/- warning: category_theory.subobject.lift_mk -> CategoryTheory.Subobject.lift_mk is a dubious translation:
-lean 3 declaration is
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 @[simp]
 protected theorem lift_mk {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α) {h A}
     (f : A ⟶ X) [Mono f] : Subobject.lift F h (Subobject.mk f) = F f :=
   rfl
 #align category_theory.subobject.lift_mk CategoryTheory.Subobject.lift_mk
 
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 /-- The category of subobjects is equivalent to the `mono_over` category. It is more convenient to
 use the former due to the partial order instance, but oftentimes it is easier to define structures
 on the latter. -/
@@ -189,12 +177,6 @@ noncomputable def representative {X : C} : Subobject X ⥤ MonoOver X :=
 #align category_theory.subobject.representative CategoryTheory.Subobject.representative
 -/
 
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 /-- Starting with `A : mono_over X`, we can take its equivalence class in `subobject X`
 then pick an arbitrary representative using `representative.obj`.
 This is isomorphic (in `mono_over X`) to the original `A`.
@@ -221,12 +203,6 @@ theorem underlying_as_coe {X : C} (P : Subobject X) : underlying.obj P = P :=
   rfl
 #align category_theory.subobject.underlying_as_coe CategoryTheory.Subobject.underlying_as_coe
 
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 /-- If we construct a `subobject Y` from an explicit `f : X ⟶ Y` with `[mono f]`,
 then pick an arbitrary choice of underlying object `(subobject.mk f : C)` back in `C`,
 it is isomorphic (in `C`) to the original `X`.
@@ -235,98 +211,50 @@ noncomputable def underlyingIso {X Y : C} (f : X ⟶ Y) [Mono f] : (Subobject.mk
   (MonoOver.forget _ ⋙ Over.forget _).mapIso (representativeIso (MonoOver.mk' f))
 #align category_theory.subobject.underlying_iso CategoryTheory.Subobject.underlyingIso
 
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 /-- The morphism in `C` from the arbitrarily chosen underlying object to the ambient object.
 -/
 noncomputable def arrow {X : C} (Y : Subobject X) : (Y : C) ⟶ X :=
   (representative.obj Y).obj.Hom
 #align category_theory.subobject.arrow CategoryTheory.Subobject.arrow
 
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 instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
   (representative.obj Y).property
 #align category_theory.subobject.arrow_mono CategoryTheory.Subobject.arrow_mono
 
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 @[simp]
 theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
     eqToHom (congr_arg (fun X : Subobject A => (X : C)) h) ≫ Y.arrow = X.arrow := by induction h;
   simp
 #align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congr
 
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 @[simp]
 theorem representative_coe (Y : Subobject X) : (representative.obj Y : C) = (Y : C) :=
   rfl
 #align category_theory.subobject.representative_coe CategoryTheory.Subobject.representative_coe
 
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 @[simp]
 theorem representative_arrow (Y : Subobject X) : (representative.obj Y).arrow = Y.arrow :=
   rfl
 #align category_theory.subobject.representative_arrow CategoryTheory.Subobject.representative_arrow
 
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 @[simp, reassoc]
 theorem underlying_arrow {X : C} {Y Z : Subobject X} (f : Y ⟶ Z) :
     underlying.map f ≫ arrow Z = arrow Y :=
   Over.w (representative.map f)
 #align category_theory.subobject.underlying_arrow CategoryTheory.Subobject.underlying_arrow
 
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 @[simp, reassoc, elementwise]
 theorem underlyingIso_arrow {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).inv ≫ (Subobject.mk f).arrow = f :=
   Over.w _
 #align category_theory.subobject.underlying_iso_arrow CategoryTheory.Subobject.underlyingIso_arrow
 
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 @[simp, reassoc]
 theorem underlyingIso_hom_comp_eq_mk {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).Hom ≫ f = (mk f).arrow :=
   (Iso.eq_inv_comp _).1 (underlyingIso_arrow f).symm
 #align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk
 
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 /-- Two morphisms into a subobject are equal exactly if
 the morphisms into the ambient object are equal -/
 @[ext]
@@ -335,23 +263,11 @@ theorem eq_of_comp_arrow_eq {X Y : C} {P : Subobject Y} {f g : X ⟶ P}
   (cancel_mono P.arrow).mp h
 #align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eq
 
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 theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂] (g : A₁ ⟶ A₂)
     (w : g ≫ f₂ = f₁) : mk f₁ ≤ mk f₂ :=
   ⟨MonoOver.homMk _ w⟩
 #align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_comm
 
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 @[simp]
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
   Quotient.inductionOn' P fun Q =>
@@ -360,38 +276,20 @@ theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
     refine' Quotient.sound' ⟨mono_over.iso_mk _ _ ≪≫ e⟩ <;> tidy
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
 
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 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
     X ≤ Y := by convert mk_le_mk_of_comm _ w <;> simp
 #align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_comm
 
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 theorem le_mk_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : (X : C) ⟶ A)
     (w : g ≫ f = X.arrow) : X ≤ mk f :=
   le_of_comm (g ≫ (underlyingIso f).inv) <| by simp [w]
 #align category_theory.subobject.le_mk_of_comm CategoryTheory.Subobject.le_mk_of_comm
 
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 theorem mk_le_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : A ⟶ (X : C))
     (w : g ≫ X.arrow = f) : mk f ≤ X :=
   le_of_comm ((underlyingIso f).Hom ≫ g) <| by simp [w]
 #align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_comm
 
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 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -400,12 +298,6 @@ theorem eq_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ≅ (Y : C))
   le_antisymm (le_of_comm f.Hom w) <| le_of_comm f.inv <| f.inv_comp_eq.2 w.symm
 #align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_comm
 
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 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -414,12 +306,6 @@ theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X
   eq_of_comm (i.trans (underlyingIso f).symm) <| by simp [w]
 #align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_comm
 
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 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -438,12 +324,6 @@ theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mo
 #align category_theory.subobject.mk_eq_mk_of_comm CategoryTheory.Subobject.mk_eq_mk_of_comm
 -/
 
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 -- We make `X` and `Y` explicit arguments here so that when `of_le` appears in goal statements
 -- it is possible to see its source and target
 -- (`h` will just display as `_`, because it is in `Prop`).
@@ -452,12 +332,6 @@ def ofLE {B : C} (X Y : Subobject B) (h : X ≤ Y) : (X : C) ⟶ (Y : C) :=
   underlying.map <| h.Hom
 #align category_theory.subobject.of_le CategoryTheory.Subobject.ofLE
 
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 @[simp, reassoc]
 theorem ofLE_arrow {B : C} {X Y : Subobject B} (h : X ≤ Y) : ofLE X Y h ≫ Y.arrow = X.arrow :=
   underlying_arrow _
@@ -471,115 +345,61 @@ instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
   ext
   simpa using w
 
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 theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
     (g : A₁ ⟶ A₂) (w : g ≫ f₂ = f₁) :
     ofLE _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv := by ext;
   simp [w]
 #align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm
 
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 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofLEMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) : (X : C) ⟶ A :=
   ofLE X (mk f) h ≫ (underlyingIso f).Hom deriving Mono
 #align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMk
 
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 @[simp]
 theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X ≤ mk f) :
     ofLEMk X f h ≫ f = X.arrow := by simp [of_le_mk]
 #align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLEMk_comp
 
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 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLE {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) : A ⟶ (X : C) :=
   (underlyingIso f).inv ≫ ofLE (mk f) X h deriving Mono
 #align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLE
 
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 @[simp]
 theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk f ≤ X) :
     ofMkLE f X h ≫ X.arrow = f := by simp [of_mk_le]
 #align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrow
 
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 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
     A₁ ⟶ A₂ :=
   (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
 #align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk
 
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 @[simp]
 theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono f] [Mono g] (h : mk f ≤ mk g) :
     ofMkLEMk f g h ≫ g = f := by simp [of_mk_le_mk]
 #align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
 
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 @[simp, reassoc]
 theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
     ofLE X Y h₁ ≫ ofLE Y Z h₂ = ofLE X Z (h₁.trans h₂) := by
   simp [of_le, ← functor.map_comp underlying]
 #align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLE
 
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 @[simp, reassoc]
 theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h₁ : X ≤ Y)
     (h₂ : Y ≤ mk f) : ofLE X Y h₁ ≫ ofLEMk Y f h₂ = ofLEMk X f (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMk
 
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 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
     (h₁ : X ≤ mk f) (h₂ : mk f ≤ Y) : ofLEMk X f h₁ ≫ ofMkLE f Y h₂ = ofLE X Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp underlying]
 #align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLE
 
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 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
     [Mono g] (h₁ : X ≤ mk f) (h₂ : mk f ≤ mk g) :
@@ -587,21 +407,12 @@ theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk
 
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 @[simp, reassoc]
 theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject B) (h₁ : mk f ≤ X)
     (h₂ : X ≤ Y) : ofMkLE f X h₁ ≫ ofLE X Y h₂ = ofMkLE f Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLE
 
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 @[simp, reassoc]
 theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
     [Mono g] (h₁ : mk f ≤ X) (h₂ : X ≤ mk g) :
@@ -609,12 +420,6 @@ theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subo
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMk
 
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 @[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (X : Subobject B) (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ X) :
@@ -622,12 +427,6 @@ theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE
 
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 @[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (h : A₃ ⟶ B) [Mono h] (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ mk h) :
@@ -635,12 +434,6 @@ theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f]
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk
 
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 @[simp]
 theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ := by
   apply (cancel_mono X.arrow).mp; simp
@@ -653,12 +446,6 @@ theorem ofMkLEMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLEMk f f le_r
 #align category_theory.subobject.of_mk_le_mk_refl CategoryTheory.Subobject.ofMkLEMk_refl
 -/
 
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 -- As with `of_le`, we have `X` and `Y` as explicit arguments for readability.
 /-- An equality of subobjects gives an isomorphism of the corresponding objects.
 (One could use `underlying.map_iso (eq_to_iso h))` here, but this is more readable.) -/
@@ -669,12 +456,6 @@ def isoOfEq {B : C} (X Y : Subobject B) (h : X = Y) : (X : C) ≅ (Y : C)
   inv := ofLE _ _ h.ge
 #align category_theory.subobject.iso_of_eq CategoryTheory.Subobject.isoOfEq
 
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 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfEqMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X = mk f) : (X : C) ≅ A
@@ -683,12 +464,6 @@ def isoOfEqMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X = mk f)
   inv := ofMkLE f X h.ge
 #align category_theory.subobject.iso_of_eq_mk CategoryTheory.Subobject.isoOfEqMk
 
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 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfMkEq {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f = X) : A ≅ (X : C)
@@ -754,12 +529,6 @@ def lowerAdjunction {A : C} {B : D} {L : MonoOver A ⥤ MonoOver B} {R : MonoOve
 #align category_theory.subobject.lower_adjunction CategoryTheory.Subobject.lowerAdjunction
 -/
 
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 /-- An equivalence between `mono_over A` and `mono_over B` gives an equivalence
 between `subobject A` and `subobject B`. -/
 @[simps]
@@ -791,12 +560,6 @@ def pullback (f : X ⟶ Y) : Subobject Y ⥤ Subobject X :=
 #align category_theory.subobject.pullback CategoryTheory.Subobject.pullback
 -/
 
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 theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -805,12 +568,6 @@ theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   exact ⟨mono_over.pullback_id.app f⟩
 #align category_theory.subobject.pullback_id CategoryTheory.Subobject.pullback_id
 
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 theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
     (pullback (f ≫ g)).obj x = (pullback f).obj ((pullback g).obj x) :=
   by
@@ -835,12 +592,6 @@ def map (f : X ⟶ Y) [Mono f] : Subobject X ⥤ Subobject Y :=
 #align category_theory.subobject.map CategoryTheory.Subobject.map
 -/
 
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 theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -849,12 +600,6 @@ theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   exact ⟨mono_over.map_id.app f⟩
 #align category_theory.subobject.map_id CategoryTheory.Subobject.map_id
 
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 theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X) :
     (map (f ≫ g)).obj x = (map g).obj ((map f).obj x) :=
   by
@@ -864,23 +609,11 @@ theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X)
   refine' ⟨(mono_over.map_comp _ _).app t⟩
 #align category_theory.subobject.map_comp CategoryTheory.Subobject.map_comp
 
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 /-- Isomorphic objects have equivalent subobject lattices. -/
 def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
 
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 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
 -- whose left hand side is not in simp normal form.
 /-- In fact, there's a type level bijection between the subobjects of isomorphic objects,
@@ -902,18 +635,12 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
     mapIsoToOrderIso e P = (map e.Hom).obj P :=
   rfl
 #align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_apply
 
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-<too large>
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 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
     (mapIsoToOrderIso e).symm Q = (map e.inv).obj Q :=
@@ -928,12 +655,6 @@ def mapPullbackAdj [HasPullbacks C] (f : X ⟶ Y) [Mono f] : map f ⊣ pullback
 #align category_theory.subobject.map_pullback_adj CategoryTheory.Subobject.mapPullbackAdj
 -/
 
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 @[simp]
 theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject X) :
     (pullback f).obj ((map f).obj g) = g := by
@@ -944,9 +665,6 @@ theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject
   exact ⟨(mono_over.pullback_map_self f).app _⟩
 #align category_theory.subobject.pullback_map_self CategoryTheory.Subobject.pullback_map_self
 
-/- warning: category_theory.subobject.map_pullback -> CategoryTheory.Subobject.map_pullback is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_pullback CategoryTheory.Subobject.map_pullbackₓ'. -/
 theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z} {h : Y ⟶ W} {k : Z ⟶ W}
     [Mono h] [Mono g] (comm : f ≫ h = g ≫ k) (t : IsLimit (PullbackCone.mk f g comm))
     (p : Subobject Y) : (map g).obj ((pullback f).obj p) = (pullback k).obj ((map h).obj p) :=
Diff
@@ -262,9 +262,7 @@ instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congrₓ'. -/
 @[simp]
 theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
-    eqToHom (congr_arg (fun X : Subobject A => (X : C)) h) ≫ Y.arrow = X.arrow :=
-  by
-  induction h
+    eqToHom (congr_arg (fun X : Subobject A => (X : C)) h) ≫ Y.arrow = X.arrow := by induction h;
   simp
 #align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congr
 
@@ -478,9 +476,7 @@ instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_commₓ'. -/
 theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
     (g : A₁ ⟶ A₂) (w : g ≫ f₂ = f₁) :
-    ofLE _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv :=
-  by
-  ext
+    ofLE _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv := by ext;
   simp [w]
 #align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm
 
@@ -646,18 +642,14 @@ but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLE_reflₓ'. -/
 @[simp]
-theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ :=
-  by
-  apply (cancel_mono X.arrow).mp
-  simp
+theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ := by
+  apply (cancel_mono X.arrow).mp; simp
 #align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLE_refl
 
 #print CategoryTheory.Subobject.ofMkLEMk_refl /-
 @[simp]
-theorem ofMkLEMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLEMk f f le_rfl = 𝟙 _ :=
-  by
-  apply (cancel_mono f).mp
-  simp
+theorem ofMkLEMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLEMk f f le_rfl = 𝟙 _ := by
+  apply (cancel_mono f).mp; simp
 #align category_theory.subobject.of_mk_le_mk_refl CategoryTheory.Subobject.ofMkLEMk_refl
 -/
 
@@ -973,10 +965,8 @@ theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z}
           (pullback_cone.is_limit.lift' t (pullback.fst ≫ a.arrow) pullback.snd _).1
           (pullback_cone.is_limit.lift' _ _ _ _).2.1.symm)
         _
-    · rw [← pullback.condition, assoc]
-      rfl
-    · dsimp
-      rw [pullback.lift_snd_assoc]
+    · rw [← pullback.condition, assoc]; rfl
+    · dsimp; rw [pullback.lift_snd_assoc]
       apply (pullback_cone.is_limit.lift' _ _ _ _).2.2
 #align category_theory.subobject.map_pullback CategoryTheory.Subobject.map_pullback
 
Diff
@@ -258,10 +258,7 @@ instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
 #align category_theory.subobject.arrow_mono CategoryTheory.Subobject.arrow_mono
 
 /- warning: category_theory.subobject.arrow_congr -> CategoryTheory.Subobject.arrow_congr is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congrₓ'. -/
 @[simp]
 theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
@@ -330,10 +327,7 @@ theorem underlyingIso_hom_comp_eq_mk {X Y : C} (f : X ⟶ Y) [Mono f] :
 #align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eqₓ'. -/
 /-- Two morphisms into a subobject are equal exactly if
 the morphisms into the ambient object are equal -/
@@ -369,10 +363,7 @@ theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_commₓ'. -/
 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
     X ≤ Y := by convert mk_le_mk_of_comm _ w <;> simp
@@ -401,10 +392,7 @@ theorem mk_le_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : A
 #align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_comm
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_commₓ'. -/
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
@@ -486,10 +474,7 @@ instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
   simpa using w
 
 /- warning: category_theory.subobject.of_le_mk_le_mk_of_comm -> CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_commₓ'. -/
 theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
     (g : A₁ ⟶ A₂) (w : g ≫ f₂ = f₁) :
@@ -567,10 +552,7 @@ theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono
 #align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
 
 /- warning: category_theory.subobject.of_le_comp_of_le -> CategoryTheory.Subobject.ofLE_comp_ofLE is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLEₓ'. -/
 @[simp, reassoc]
 theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
@@ -591,10 +573,7 @@ theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h
 #align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMk
 
 /- warning: category_theory.subobject.of_le_mk_comp_of_mk_le -> CategoryTheory.Subobject.ofLEMk_comp_ofMkLE is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLEₓ'. -/
 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
@@ -603,10 +582,7 @@ theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y
 #align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLE
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMkₓ'. -/
 @[simp, reassoc]
 theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
@@ -628,10 +604,7 @@ theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject
 #align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLE
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMkₓ'. -/
 @[simp, reassoc]
 theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
@@ -938,10 +911,7 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
@@ -950,10 +920,7 @@ theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
 #align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_apply
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
@@ -986,10 +953,7 @@ theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject
 #align category_theory.subobject.pullback_map_self CategoryTheory.Subobject.pullback_map_self
 
 /- warning: category_theory.subobject.map_pullback -> CategoryTheory.Subobject.map_pullback is a dubious translation:
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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X W) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y W f h) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z W g k)), (CategoryTheory.Limits.IsLimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) C _inst_1 (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 Y Z W h k) (CategoryTheory.Limits.PullbackCone.mk.{u1, u2} C _inst_1 Y Z W h k X f g comm)) -> (forall (p : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Z) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, 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(CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 W) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 W) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 W)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 W) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 W))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y W h _inst_4) p)))
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.Limits.HasPullbacks.{u1, u2} C _inst_1] {X : C} {Y : C} {Z : C} {W : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} {g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z} {h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y W} {k : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z W} [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 Y W h] [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Z g] (comm : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X W) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y W f h) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z W g k)), (CategoryTheory.Limits.IsLimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) C _inst_1 (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 Y Z W h k) (CategoryTheory.Limits.PullbackCone.mk.{u1, u2} C _inst_1 Y Z W h k X f g comm)) -> (forall (p : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Z) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} 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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_pullback CategoryTheory.Subobject.map_pullbackₓ'. -/
 theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z} {h : Y ⟶ W} {k : Z ⟶ W}
     [Mono h] [Mono g] (comm : f ≫ h = g ≫ k) (t : IsLimit (PullbackCone.mk f g comm))
Diff
@@ -299,7 +299,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 X} {Z : CategoryTheory.Subobject.{u1, u2} C _inst_1 X} (f : Quiver.Hom.{max (succ u2) (succ u1), max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Z) X (Prefunctor.map.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y Z f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X Z)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X Y)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_arrow CategoryTheory.Subobject.underlying_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem underlying_arrow {X : C} {Y Z : Subobject X} (f : Y ⟶ Z) :
     underlying.map f ≫ arrow Z = arrow Y :=
   Over.w (representative.map f)
@@ -311,7 +311,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) Y (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) X (CategoryTheory.Subobject.underlyingIso.{u1, u2} C _inst_1 X Y f _inst_3)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3))) f
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_iso_arrow CategoryTheory.Subobject.underlyingIso_arrowₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem underlyingIso_arrow {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).inv ≫ (Subobject.mk f).arrow = f :=
   Over.w _
@@ -323,7 +323,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) X (CategoryTheory.Subobject.underlyingIso.{u1, u2} C _inst_1 X Y f _inst_3)) f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mkₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem underlyingIso_hom_comp_eq_mk {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).Hom ≫ f = (mk f).arrow :=
   (Iso.eq_inv_comp _).1 (underlyingIso_arrow f).symm
@@ -472,7 +472,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) B (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofLE_arrow {B : C} {X Y : Subobject B} (h : X ≤ Y) : ofLE X Y h ≫ Y.arrow = X.arrow :=
   underlying_arrow _
 #align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrow
@@ -572,7 +572,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Z : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Z)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Z) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B Y Z h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Z (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X Y Z h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLEₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
     ofLE X Y h₁ ≫ ofLE Y Z h₂ = ofLE X Z (h₁.trans h₂) := by
   simp [of_le, ← functor.map_comp underlying]
@@ -584,7 +584,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) A (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A Y f _inst_3 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMkₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h₁ : X ≤ Y)
     (h₂ : Y ≤ mk f) : ofLE X Y h₁ ≫ ofLEMk Y f h₂ = ofLEMk X f (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp_assoc underlying]
@@ -596,7 +596,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 Y h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLEₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
     (h₁ : X ≤ mk f) (h₂ : mk f ≤ Y) : ofLEMk X f h₁ ≫ ofMkLE f Y h₂ = ofLE X Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp underlying]
@@ -608,7 +608,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₁ A₂ (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₁ X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMkₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
     [Mono g] (h₁ : X ≤ mk f) (h₂ : mk f ≤ mk g) :
     ofLEMk X f h₁ ≫ ofMkLEMk f g h₂ = ofLEMk X g (h₁.trans h₂) := by
@@ -621,7 +621,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X Y h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLEₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject B) (h₁ : mk f ≤ X)
     (h₂ : X ≤ Y) : ofMkLE f X h₁ ≫ ofLE X Y h₂ = ofMkLE f Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
@@ -633,7 +633,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₂ (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMkₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
     [Mono g] (h₁ : mk f ≤ X) (h₂ : X ≤ mk g) :
     ofMkLE f X h₁ ≫ ofLEMk X g h₂ = ofMkLEMk f g (h₁.trans h₂) := by
@@ -646,7 +646,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₂ g _inst_4 X h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (X : Subobject B) (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ X) :
     ofMkLEMk f g h₁ ≫ ofMkLE g X h₂ = ofMkLE f X (h₁.trans h₂) := by
@@ -659,7 +659,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {A₃ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₃ B) [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₃ B h] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₃) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ A₃ (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₂ A₃ g h _inst_4 _inst_5 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₃ f h _inst_3 _inst_5 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMkₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (h : A₃ ⟶ B) [Mono h] (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ mk h) :
     ofMkLEMk f g h₁ ≫ ofMkLEMk g h h₂ = ofMkLEMk f h (h₁.trans h₂) := by
Diff
@@ -941,7 +941,7 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (fun (_x : RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) => (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) -> (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y)) (RelIso.hasCoeToFun.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e)))) P)
 but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.instRelHomClassRelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e))))) P)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302) (RelIso.instRelHomClassRelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e))))) P)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
@@ -953,7 +953,7 @@ theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
 lean 3 declaration is
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 but is expected to have type
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x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) 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(CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} 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(CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e))))) Q)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 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x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1285 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1287 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1285 x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) 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x._@.Mathlib.Order.Hom.Basic._hyg.1287) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1300 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1302 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1300 x._@.Mathlib.Order.Hom.Basic._hyg.1302))) (OrderIso.symm.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e))))) Q)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
Diff
@@ -343,12 +343,16 @@ theorem eq_of_comp_arrow_eq {X Y : C} {P : Subobject Y} {f g : X ⟶ P}
   (cancel_mono P.arrow).mp h
 #align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eq
 
-#print CategoryTheory.Subobject.mk_le_mk_of_comm /-
+/- warning: category_theory.subobject.mk_le_mk_of_comm -> CategoryTheory.Subobject.mk_le_mk_of_comm is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {f₁ : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B} {f₂ : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f₁] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B f₂] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ B g f₂) f₁) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f₁ _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ f₂ _inst_4))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {f₁ : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B} {f₂ : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f₁] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B f₂] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ B g f₂) f₁) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f₁ _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ f₂ _inst_4))
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_commₓ'. -/
 theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂] (g : A₁ ⟶ A₂)
     (w : g ≫ f₂ = f₁) : mk f₁ ≤ mk f₂ :=
   ⟨MonoOver.homMk _ w⟩
 #align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_comm
--/
 
 /- warning: category_theory.subobject.mk_arrow -> CategoryTheory.Subobject.mk_arrow is a dubious translation:
 lean 3 declaration is
@@ -366,7 +370,7 @@ theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
 
 /- warning: category_theory.subobject.le_of_comm -> CategoryTheory.Subobject.le_of_comm is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) B f (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) B f (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_commₓ'. -/
@@ -376,7 +380,7 @@ theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f
 
 /- warning: category_theory.subobject.le_mk_of_comm -> CategoryTheory.Subobject.le_mk_of_comm is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A B g f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A B g f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A B g f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.le_mk_of_comm CategoryTheory.Subobject.le_mk_of_commₓ'. -/
@@ -387,7 +391,7 @@ theorem le_mk_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : (X
 
 /- warning: category_theory.subobject.mk_le_of_comm -> CategoryTheory.Subobject.mk_le_of_comm is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B g (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B g (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B g (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_commₓ'. -/
@@ -450,7 +454,7 @@ theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mo
 
 /- warning: category_theory.subobject.of_le -> CategoryTheory.Subobject.ofLE is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le CategoryTheory.Subobject.ofLEₓ'. -/
@@ -464,7 +468,7 @@ def ofLE {B : C} (X Y : Subobject B) (h : X ≤ Y) : (X : C) ⟶ (Y : C) :=
 
 /- warning: category_theory.subobject.of_le_arrow -> CategoryTheory.Subobject.ofLE_arrow is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) B (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) B (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) B (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B Y)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrowₓ'. -/
@@ -497,7 +501,7 @@ theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂
 
 /- warning: category_theory.subobject.of_le_mk -> CategoryTheory.Subobject.ofLEMk is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f], (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f], (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f], (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMkₓ'. -/
@@ -508,7 +512,7 @@ def ofLEMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) :
 
 /- warning: category_theory.subobject.of_le_mk_comp -> CategoryTheory.Subobject.ofLEMk_comp is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A B (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h) f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A B (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h) f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A B (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h) f) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLEMk_compₓ'. -/
@@ -519,7 +523,7 @@ theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X 
 
 /- warning: category_theory.subobject.of_mk_le -> CategoryTheory.Subobject.ofMkLE is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B), (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLEₓ'. -/
@@ -530,7 +534,7 @@ def ofMkLE {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) :
 
 /- warning: category_theory.subobject.of_mk_le_arrow -> CategoryTheory.Subobject.ofMkLE_arrow is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 X h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 X h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 X h) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrowₓ'. -/
@@ -539,24 +543,32 @@ theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk
     ofMkLE f X h ≫ X.arrow = f := by simp [of_mk_le]
 #align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrow
 
-#print CategoryTheory.Subobject.ofMkLEMk /-
+/- warning: category_theory.subobject.of_mk_le_mk -> CategoryTheory.Subobject.ofMkLEMk is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g], (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g], (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂)
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMkₓ'. -/
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
 def ofMkLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
     A₁ ⟶ A₂ :=
   (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
 #align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk
--/
 
-#print CategoryTheory.Subobject.ofMkLEMk_comp /-
+/- warning: category_theory.subobject.of_mk_le_mk_comp -> CategoryTheory.Subobject.ofMkLEMk_comp is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B} {g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ B (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h) g) f
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B} {g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B} [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ B (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h) g) f
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_compₓ'. -/
 @[simp]
 theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono f] [Mono g] (h : mk f ≤ mk g) :
     ofMkLEMk f g h ≫ g = f := by simp [of_mk_le_mk]
 #align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
--/
 
 /- warning: category_theory.subobject.of_le_comp_of_le -> CategoryTheory.Subobject.ofLE_comp_ofLE is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Z : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Z)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Z) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B Y Z h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Z (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X Y Z h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Z : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Z)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Z) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B Y Z h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Z (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X Y Z h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLEₓ'. -/
@@ -568,7 +580,7 @@ theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y
 
 /- warning: category_theory.subobject.of_le_comp_of_le_mk -> CategoryTheory.Subobject.ofLE_comp_ofLEMk is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) A (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A Y f _inst_3 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) A (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A Y f _inst_3 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) A (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A Y f _inst_3 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X Y (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMkₓ'. -/
@@ -580,7 +592,7 @@ theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h
 
 /- warning: category_theory.subobject.of_le_mk_comp_of_mk_le -> CategoryTheory.Subobject.ofLEMk_comp_ofMkLE is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 Y h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 Y h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A f _inst_3 Y h₂)) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) Y h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLEₓ'. -/
@@ -592,7 +604,7 @@ theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y
 
 /- warning: category_theory.subobject.of_le_mk_comp_of_mk_le_mk -> CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₁ A₂ (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₁ X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₁ A₂ (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₁ X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₁ A₂ (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₁ X f _inst_3 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₂)) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMkₓ'. -/
@@ -605,7 +617,7 @@ theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B
 
 /- warning: category_theory.subobject.of_mk_le_comp_of_le -> CategoryTheory.Subobject.ofMkLE_comp_ofLE is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X Y h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) Y) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X Y h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) Y) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLE.{u1, u2} C _inst_1 B X Y h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 Y (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X Y h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLEₓ'. -/
@@ -617,7 +629,7 @@ theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject
 
 /- warning: category_theory.subobject.of_mk_le_comp_of_le_mk -> CategoryTheory.Subobject.ofMkLE_comp_ofLEMk is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₂ (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) A₂ (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₂) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) A₂ (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X h₁) (CategoryTheory.Subobject.ofLEMk.{u1, u2} C _inst_1 B A₂ X g _inst_4 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) X (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMkₓ'. -/
@@ -630,7 +642,7 @@ theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subo
 
 /- warning: category_theory.subobject.of_mk_le_mk_comp_of_mk_le -> CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₂ g _inst_4 X h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X h₁ h₂))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₂ g _inst_4 X h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X h₁ h₂))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₂ g _inst_4 X h₂)) (CategoryTheory.Subobject.ofMkLE.{u1, u2} C _inst_1 B A₁ f _inst_3 X (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) X h₁ h₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEₓ'. -/
@@ -641,14 +653,18 @@ theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE
 
-#print CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk /-
+/- warning: category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk -> CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {A₃ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₃ B) [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₃ B h] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₃) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ A₃ (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₂ A₃ g h _inst_4 _inst_5 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₃ f h _inst_3 _inst_5 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5) h₁ h₂))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A₁ : C} {A₂ : C} {A₃ : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₁ B f] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₂ B) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₂ B g] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₃ B) [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 A₃ B h] (h₁ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4)) (h₂ : LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A₁ A₃) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A₁ A₂ A₃ (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₂ f g _inst_3 _inst_4 h₁) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₂ A₃ g h _inst_4 _inst_5 h₂)) (CategoryTheory.Subobject.ofMkLEMk.{u1, u2} C _inst_1 B A₁ A₃ f h _inst_3 _inst_5 (LE.le.trans.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₁ f _inst_3) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₂ g _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A₃ h _inst_5) h₁ h₂))
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMkₓ'. -/
 @[simp, reassoc.1]
 theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (h : A₃ ⟶ B) [Mono h] (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ mk h) :
     ofMkLEMk f g h₁ ≫ ofMkLEMk g h h₂ = ofMkLEMk f h (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
 #align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk
--/
 
 /- warning: category_theory.subobject.of_le_refl -> CategoryTheory.Subobject.ofLE_refl is a dubious translation:
 lean 3 declaration is
@@ -894,7 +910,12 @@ def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
 
-#print CategoryTheory.Subobject.mapIsoToOrderIso /-
+/- warning: category_theory.subobject.map_iso_to_order_iso -> CategoryTheory.Subobject.mapIsoToOrderIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C}, (CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) -> (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C}, (CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) -> (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIsoₓ'. -/
 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
 -- whose left hand side is not in simp normal form.
 /-- In fact, there's a type level bijection between the subobjects of isomorphic objects,
@@ -915,11 +936,10 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
       apply_fun (map e.hom).obj  at h
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
--/
 
 /- warning: category_theory.subobject.map_iso_to_order_iso_apply -> CategoryTheory.Subobject.mapIsoToOrderIso_apply is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (fun (_x : RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) => (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) -> (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y)) (RelIso.hasCoeToFun.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e)))) P)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.instRelHomClassRelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e))))) P)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
@@ -931,7 +951,7 @@ theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
 
 /- warning: category_theory.subobject.map_iso_to_order_iso_symm_apply -> CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (fun (_x : RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))))) => (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) -> (CategoryTheory.Subobject.{u1, u2} C _inst_1 X)) (RelIso.hasCoeToFun.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))))) (OrderIso.symm.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e)))) Q)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.instRelHomClassRelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298))) (OrderIso.symm.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e))))) Q)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_applyₓ'. -/
Diff
@@ -1002,7 +1002,7 @@ section Exists
 
 variable [HasImages C]
 
-#print CategoryTheory.Subobject.exists_ /-
+#print CategoryTheory.Subobject.exists /-
 /-- The functor from subobjects of `X` to subobjects of `Y` given by
 sending the subobject `S` to its "image" under `f`, usually denoted $\exists_f$.
 For instance, when `C` is the category of types,
@@ -1011,15 +1011,15 @@ viewing `subobject X` as `set X` this is just `set.image f`.
 This functor is left adjoint to the `pullback f` functor (shown in `exists_pullback_adj`)
 provided both are defined, and generalises the `map f` functor, again provided it is defined.
 -/
-def exists_ (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
-  lower (MonoOver.exists_ f)
-#align category_theory.subobject.exists CategoryTheory.Subobject.exists_
+def exists (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
+  lower (MonoOver.exists f)
+#align category_theory.subobject.exists CategoryTheory.Subobject.exists
 -/
 
 #print CategoryTheory.Subobject.exists_iso_map /-
 /-- When `f : X ⟶ Y` is a monomorphism, `exists f` agrees with `map f`.
 -/
-theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists_ f = map f :=
+theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists f = map f :=
   lower_iso _ _ (MonoOver.existsIsoMap f)
 #align category_theory.subobject.exists_iso_map CategoryTheory.Subobject.exists_iso_map
 -/
@@ -1028,7 +1028,7 @@ theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists_ f = map f :=
 /-- `exists f : subobject X ⥤ subobject Y` is
 left adjoint to `pullback f : subobject Y ⥤ subobject X`.
 -/
-def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : exists_ f ⊣ pullback f :=
+def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : exists f ⊣ pullback f :=
   lowerAdjunction (MonoOver.existsPullbackAdj f)
 #align category_theory.subobject.exists_pullback_adj CategoryTheory.Subobject.existsPullbackAdj
 -/
Diff
@@ -921,7 +921,7 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (fun (_x : RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) => (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) -> (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y)) (RelIso.hasCoeToFun.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e)))) P)
 but is expected to have type
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(CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Function.instEmbeddingLikeEmbedding.{succ (max u2 u1), succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y))) (RelEmbedding.toEmbedding.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.toRelEmbedding.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} 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(Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e))))) P)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (P : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.instRelHomClassRelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e) P) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 X Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso.{u1, u2} C _inst_1 X Y e))))) P)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
@@ -933,7 +933,7 @@ theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (OrderIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X)))) (fun (_x : RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))))) => (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) -> (CategoryTheory.Subobject.{u1, u2} C _inst_1 X)) (RelIso.hasCoeToFun.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y)))) (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))))) (OrderIso.symm.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e)))) Q)
 but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => CategoryTheory.Subobject.{u1, u2} C _inst_1 X) Q) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (Function.Embedding.{succ (max u2 u1), succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => CategoryTheory.Subobject.{u1, u2} C _inst_1 X) _x) (EmbeddingLike.toFunLike.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (Function.Embedding.{succ (max u2 u1), succ (max u2 u1)} 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x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298) (RelIso.toRelEmbedding.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} 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(CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)))) Q) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} 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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u2} C _inst_1 X Y) (Q : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (FunLike.coe.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (fun (_x : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (RelHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RelIso.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298)) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1281 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (x._@.Mathlib.Order.Hom.Basic._hyg.1283 : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) x._@.Mathlib.Order.Hom.Basic._hyg.1281 x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) 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x._@.Mathlib.Order.Hom.Basic._hyg.1283) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.1296 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (x._@.Mathlib.Order.Hom.Basic._hyg.1298 : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) x._@.Mathlib.Order.Hom.Basic._hyg.1296 x._@.Mathlib.Order.Hom.Basic._hyg.1298))) (OrderIso.symm.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.mapIsoToOrderIso.{u1, u2} C _inst_1 X Y e)) Q) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.mono_of_strongMono.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.strongMono_of_isIso.{u1, u2} C _inst_1 Y X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 X Y e) (CategoryTheory.IsIso.of_iso_inv.{u1, u2} C _inst_1 X Y e))))) Q)
 Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.subobject.basic
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.Tactic.Elementwise
 /-!
 # Subobjects
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `subobject X` as the quotient (by isomorphisms) of
 `mono_over X := {f : over X // mono f.hom}`.
 
Diff
@@ -96,23 +96,28 @@ with morphisms becoming inequalities, and isomorphisms becoming equations.
 -/
 
 
+#print CategoryTheory.Subobject /-
 /-- The category of subobjects of `X : C`, defined as isomorphism classes of monomorphisms into `X`.
 -/
 def Subobject (X : C) :=
   ThinSkeleton (MonoOver X)deriving PartialOrder, Category
 #align category_theory.subobject CategoryTheory.Subobject
+-/
 
 namespace Subobject
 
+#print CategoryTheory.Subobject.mk /-
 /-- Convenience constructor for a subobject. -/
 abbrev mk {X A : C} (f : A ⟶ X) [Mono f] : Subobject X :=
   (toThinSkeleton _).obj (MonoOver.mk' f)
 #align category_theory.subobject.mk CategoryTheory.Subobject.mk
+-/
 
 section
 
 attribute [local ext] CategoryTheory.Comma
 
+#print CategoryTheory.Subobject.ind /-
 protected theorem ind {X : C} (p : Subobject X → Prop)
     (h : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], p (subobject.mk f)) (P : Subobject X) : p P :=
   by
@@ -121,7 +126,9 @@ protected theorem ind {X : C} (p : Subobject X → Prop)
   convert h a.arrow
   ext <;> rfl
 #align category_theory.subobject.ind CategoryTheory.Subobject.ind
+-/
 
+#print CategoryTheory.Subobject.ind₂ /-
 protected theorem ind₂ {X : C} (p : Subobject X → Subobject X → Prop)
     (h : ∀ ⦃A B : C⦄ (f : A ⟶ X) (g : B ⟶ X) [Mono f] [Mono g], p (subobject.mk f) (subobject.mk g))
     (P Q : Subobject X) : p P Q := by
@@ -129,9 +136,11 @@ protected theorem ind₂ {X : C} (p : Subobject X → Subobject X → Prop)
   intro a b
   convert h a.arrow b.arrow <;> ext <;> rfl
 #align category_theory.subobject.ind₂ CategoryTheory.Subobject.ind₂
+-/
 
 end
 
+#print CategoryTheory.Subobject.lift /-
 /-- Declare a function on subobjects of `X` by specifying a function on monomorphisms with
     codomain `X`. -/
 protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α)
@@ -142,13 +151,26 @@ protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mon
   Quotient.liftOn' P (fun m => F m.arrow) fun m n ⟨i⟩ =>
     h m.arrow n.arrow ((MonoOver.forget X ⋙ Over.forget X).mapIso i) (Over.w i.Hom)
 #align category_theory.subobject.lift CategoryTheory.Subobject.lift
+-/
 
+/- warning: category_theory.subobject.lift_mk -> CategoryTheory.Subobject.lift_mk is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {α : Sort.{u3}} {X : C} (F : forall {{A : C}} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A X f], α) {h : forall {{A : C}} {{B : C}} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) B X) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A X f] [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 B X g] (i : CategoryTheory.Iso.{u1, u2} C _inst_1 A B), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A B X (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 A B i) g) f) -> (Eq.{u3} α (F A f _inst_4) (F B g _inst_5))} {A : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X) [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 A X f], Eq.{u3} α (CategoryTheory.Subobject.lift.{u1, u2, u3} C _inst_1 α X F h (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 X A f _inst_4)) (F A f _inst_4)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {α : Sort.{u1}} {X : C} (F : forall {{A : C}} (f : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) A X) [_inst_3 : CategoryTheory.Mono.{u2, u3} C _inst_1 A X f], α) {h : forall {{A : C}} {{B : C}} (f : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) A X) (g : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) B X) [_inst_4 : CategoryTheory.Mono.{u2, u3} C _inst_1 A X f] [_inst_5 : CategoryTheory.Mono.{u2, u3} C _inst_1 B X g] (i : CategoryTheory.Iso.{u2, u3} C _inst_1 A B), (Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) A X) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) A B X (CategoryTheory.Iso.hom.{u2, u3} C _inst_1 A B i) g) f) -> (Eq.{u1} α (F A f _inst_4) (F B g _inst_5))} {A : C} (f : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) A X) [_inst_4 : CategoryTheory.Mono.{u2, u3} C _inst_1 A X f], Eq.{u1} α (CategoryTheory.Subobject.lift.{u2, u3, u1} C _inst_1 α X F h (CategoryTheory.Subobject.mk.{u2, u3} C _inst_1 X A f _inst_4)) (F A f _inst_4)
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.lift_mk CategoryTheory.Subobject.lift_mkₓ'. -/
 @[simp]
 protected theorem lift_mk {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α) {h A}
     (f : A ⟶ X) [Mono f] : Subobject.lift F h (Subobject.mk f) = F f :=
   rfl
 #align category_theory.subobject.lift_mk CategoryTheory.Subobject.lift_mk
 
+/- warning: category_theory.subobject.equiv_mono_over -> CategoryTheory.Subobject.equivMonoOver is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (X : C), CategoryTheory.Equivalence.{max u2 u1, u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (X : C), CategoryTheory.Equivalence.{max u2 u1, u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.equiv_mono_over CategoryTheory.Subobject.equivMonoOverₓ'. -/
 /-- The category of subobjects is equivalent to the `mono_over` category. It is more convenient to
 use the former due to the partial order instance, but oftentimes it is easier to define structures
 on the latter. -/
@@ -156,12 +178,20 @@ noncomputable def equivMonoOver (X : C) : Subobject X ≌ MonoOver X :=
   ThinSkeleton.equivalence _
 #align category_theory.subobject.equiv_mono_over CategoryTheory.Subobject.equivMonoOver
 
+#print CategoryTheory.Subobject.representative /-
 /-- Use choice to pick a representative `mono_over X` for each `subobject X`.
 -/
 noncomputable def representative {X : C} : Subobject X ⥤ MonoOver X :=
   (equivMonoOver X).Functor
 #align category_theory.subobject.representative CategoryTheory.Subobject.representative
+-/
 
+/- warning: category_theory.subobject.representative_iso -> CategoryTheory.Subobject.representativeIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} (A : CategoryTheory.MonoOver.{u1, u2} C _inst_1 X), CategoryTheory.Iso.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X) (CategoryTheory.Functor.obj.{max u2 u1, u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X) (CategoryTheory.Subobject.representative.{u1, u2} C _inst_1 X) (CategoryTheory.Functor.obj.{u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X) (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.toThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) A)) A
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} (A : CategoryTheory.MonoOver.{u1, u2} C _inst_1 X), CategoryTheory.Iso.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.representative.{u1, u2} C _inst_1 X)) (Prefunctor.obj.{succ u1, succ (max u2 u1), max u2 u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X))) (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X))))) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X))) (CategoryTheory.toThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.instCategoryMonoOver.{u1, u2} C _inst_1 X))) A)) A
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.representative_iso CategoryTheory.Subobject.representativeIsoₓ'. -/
 /-- Starting with `A : mono_over X`, we can take its equivalence class in `subobject X`
 then pick an arbitrary representative using `representative.obj`.
 This is isomorphic (in `mono_over X`) to the original `A`.
@@ -171,6 +201,7 @@ noncomputable def representativeIso {X : C} (A : MonoOver X) :
   (equivMonoOver X).counitIso.app A
 #align category_theory.subobject.representative_iso CategoryTheory.Subobject.representativeIso
 
+#print CategoryTheory.Subobject.underlying /-
 /-- Use choice to pick a representative underlying object in `C` for any `subobject X`.
 
 Prefer to use the coercion `P : C` rather than explicitly writing `underlying.obj P`.
@@ -178,6 +209,7 @@ Prefer to use the coercion `P : C` rather than explicitly writing `underlying.ob
 noncomputable def underlying {X : C} : Subobject X ⥤ C :=
   representative ⋙ MonoOver.forget _ ⋙ Over.forget _
 #align category_theory.subobject.underlying CategoryTheory.Subobject.underlying
+-/
 
 instance : Coe (Subobject X) C where coe Y := underlying.obj Y
 
@@ -186,6 +218,12 @@ theorem underlying_as_coe {X : C} (P : Subobject X) : underlying.obj P = P :=
   rfl
 #align category_theory.subobject.underlying_as_coe CategoryTheory.Subobject.underlying_as_coe
 
+/- warning: category_theory.subobject.underlying_iso -> CategoryTheory.Subobject.underlyingIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Y f], CategoryTheory.Iso.{u1, u2} C _inst_1 ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 Y)))) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) X
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Y f], CategoryTheory.Iso.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 Y X f _inst_3)) X
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_iso CategoryTheory.Subobject.underlyingIsoₓ'. -/
 /-- If we construct a `subobject Y` from an explicit `f : X ⟶ Y` with `[mono f]`,
 then pick an arbitrary choice of underlying object `(subobject.mk f : C)` back in `C`,
 it is isomorphic (in `C`) to the original `X`.
@@ -194,16 +232,34 @@ noncomputable def underlyingIso {X Y : C} (f : X ⟶ Y) [Mono f] : (Subobject.mk
   (MonoOver.forget _ ⋙ Over.forget _).mapIso (representativeIso (MonoOver.mk' f))
 #align category_theory.subobject.underlying_iso CategoryTheory.Subobject.underlyingIso
 
+/- warning: category_theory.subobject.arrow -> CategoryTheory.Subobject.arrow is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) Y) X
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.arrow CategoryTheory.Subobject.arrowₓ'. -/
 /-- The morphism in `C` from the arbitrarily chosen underlying object to the ambient object.
 -/
 noncomputable def arrow {X : C} (Y : Subobject X) : (Y : C) ⟶ X :=
   (representative.obj Y).obj.Hom
 #align category_theory.subobject.arrow CategoryTheory.Subobject.arrow
 
+/- warning: category_theory.subobject.arrow_mono -> CategoryTheory.Subobject.arrow_mono is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.arrow_mono CategoryTheory.Subobject.arrow_monoₓ'. -/
 instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
   (representative.obj Y).property
 #align category_theory.subobject.arrow_mono CategoryTheory.Subobject.arrow_mono
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congrₓ'. -/
 @[simp]
 theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
     eqToHom (congr_arg (fun X : Subobject A => (X : C)) h) ≫ Y.arrow = X.arrow :=
@@ -212,34 +268,70 @@ theorem arrow_congr {A : C} (X Y : Subobject A) (h : X = Y) :
   simp
 #align category_theory.subobject.arrow_congr CategoryTheory.Subobject.arrow_congr
 
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(CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y)
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.representative_coe CategoryTheory.Subobject.representative_coeₓ'. -/
 @[simp]
 theorem representative_coe (Y : Subobject X) : (representative.obj Y : C) = (Y : C) :=
   rfl
 #align category_theory.subobject.representative_coe CategoryTheory.Subobject.representative_coe
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.representative_arrow CategoryTheory.Subobject.representative_arrowₓ'. -/
 @[simp]
 theorem representative_arrow (Y : Subobject X) : (representative.obj Y).arrow = Y.arrow :=
   rfl
 #align category_theory.subobject.representative_arrow CategoryTheory.Subobject.representative_arrow
 
+/- warning: category_theory.subobject.underlying_arrow -> CategoryTheory.Subobject.underlying_arrow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_arrow CategoryTheory.Subobject.underlying_arrowₓ'. -/
 @[simp, reassoc.1]
 theorem underlying_arrow {X : C} {Y Z : Subobject X} (f : Y ⟶ Z) :
     underlying.map f ≫ arrow Z = arrow Y :=
   Over.w (representative.map f)
 #align category_theory.subobject.underlying_arrow CategoryTheory.Subobject.underlying_arrow
 
+/- warning: category_theory.subobject.underlying_iso_arrow -> CategoryTheory.Subobject.underlyingIso_arrow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_iso_arrow CategoryTheory.Subobject.underlyingIso_arrowₓ'. -/
 @[simp, reassoc.1, elementwise]
 theorem underlyingIso_arrow {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).inv ≫ (Subobject.mk f).arrow = f :=
   Over.w _
 #align category_theory.subobject.underlying_iso_arrow CategoryTheory.Subobject.underlyingIso_arrow
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mkₓ'. -/
 @[simp, reassoc.1]
 theorem underlyingIso_hom_comp_eq_mk {X Y : C} (f : X ⟶ Y) [Mono f] :
     (underlyingIso f).Hom ≫ f = (mk f).arrow :=
   (Iso.eq_inv_comp _).1 (underlyingIso_arrow f).symm
 #align category_theory.subobject.underlying_iso_hom_comp_eq_mk CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eqₓ'. -/
 /-- Two morphisms into a subobject are equal exactly if
 the morphisms into the ambient object are equal -/
 @[ext]
@@ -248,11 +340,19 @@ theorem eq_of_comp_arrow_eq {X Y : C} {P : Subobject Y} {f g : X ⟶ P}
   (cancel_mono P.arrow).mp h
 #align category_theory.subobject.eq_of_comp_arrow_eq CategoryTheory.Subobject.eq_of_comp_arrow_eq
 
+#print CategoryTheory.Subobject.mk_le_mk_of_comm /-
 theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂] (g : A₁ ⟶ A₂)
     (w : g ≫ f₂ = f₁) : mk f₁ ≤ mk f₂ :=
   ⟨MonoOver.homMk _ w⟩
 #align category_theory.subobject.mk_le_mk_of_comm CategoryTheory.Subobject.mk_le_mk_of_comm
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrowₓ'. -/
 @[simp]
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
   Quotient.inductionOn' P fun Q =>
@@ -261,20 +361,44 @@ theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
     refine' Quotient.sound' ⟨mono_over.iso_mk _ _ ≪≫ e⟩ <;> tidy
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_commₓ'. -/
 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
     X ≤ Y := by convert mk_le_mk_of_comm _ w <;> simp
 #align category_theory.subobject.le_of_comm CategoryTheory.Subobject.le_of_comm
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.le_mk_of_comm CategoryTheory.Subobject.le_mk_of_commₓ'. -/
 theorem le_mk_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : (X : C) ⟶ A)
     (w : g ≫ f = X.arrow) : X ≤ mk f :=
   le_of_comm (g ≫ (underlyingIso f).inv) <| by simp [w]
 #align category_theory.subobject.le_mk_of_comm CategoryTheory.Subobject.le_mk_of_comm
 
+/- warning: category_theory.subobject.mk_le_of_comm -> CategoryTheory.Subobject.mk_le_of_comm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_commₓ'. -/
 theorem mk_le_of_comm {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (g : A ⟶ (X : C))
     (w : g ≫ X.arrow = f) : mk f ≤ X :=
   le_of_comm ((underlyingIso f).Hom ≫ g) <| by simp [w]
 #align category_theory.subobject.mk_le_of_comm CategoryTheory.Subobject.mk_le_of_comm
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_commₓ'. -/
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -283,6 +407,12 @@ theorem eq_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ≅ (Y : C))
   le_antisymm (le_of_comm f.Hom w) <| le_of_comm f.inv <| f.inv_comp_eq.2 w.symm
 #align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_comm
 
+/- warning: category_theory.subobject.eq_mk_of_comm -> CategoryTheory.Subobject.eq_mk_of_comm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_commₓ'. -/
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -291,6 +421,12 @@ theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X
   eq_of_comm (i.trans (underlyingIso f).symm) <| by simp [w]
 #align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_comm
 
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {B : C} {A : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 A B f] (i : CategoryTheory.Iso.{u1, u2} C _inst_1 A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) i) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B A f _inst_3) X)
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.mk_eq_of_comm CategoryTheory.Subobject.mk_eq_of_commₓ'. -/
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -299,6 +435,7 @@ theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A
   Eq.symm <| eq_mk_of_comm _ i.symm <| by rw [iso.symm_hom, iso.inv_comp_eq, w]
 #align category_theory.subobject.mk_eq_of_comm CategoryTheory.Subobject.mk_eq_of_comm
 
+#print CategoryTheory.Subobject.mk_eq_mk_of_comm /-
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 @[ext]
@@ -306,21 +443,34 @@ theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mo
     (w : i.Hom ≫ g = f) : mk f = mk g :=
   eq_mk_of_comm _ ((underlyingIso f).trans i) <| by simp [w]
 #align category_theory.subobject.mk_eq_mk_of_comm CategoryTheory.Subobject.mk_eq_mk_of_comm
+-/
 
+/- warning: category_theory.subobject.of_le -> CategoryTheory.Subobject.ofLE is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le CategoryTheory.Subobject.ofLEₓ'. -/
 -- We make `X` and `Y` explicit arguments here so that when `of_le` appears in goal statements
 -- it is possible to see its source and target
 -- (`h` will just display as `_`, because it is in `Prop`).
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
-def ofLe {B : C} (X Y : Subobject B) (h : X ≤ Y) : (X : C) ⟶ (Y : C) :=
+def ofLE {B : C} (X Y : Subobject B) (h : X ≤ Y) : (X : C) ⟶ (Y : C) :=
   underlying.map <| h.Hom
-#align category_theory.subobject.of_le CategoryTheory.Subobject.ofLe
-
+#align category_theory.subobject.of_le CategoryTheory.Subobject.ofLE
+
+/- warning: category_theory.subobject.of_le_arrow -> CategoryTheory.Subobject.ofLE_arrow is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrowₓ'. -/
 @[simp, reassoc.1]
-theorem ofLe_arrow {B : C} {X Y : Subobject B} (h : X ≤ Y) : ofLe X Y h ≫ Y.arrow = X.arrow :=
+theorem ofLE_arrow {B : C} {X Y : Subobject B} (h : X ≤ Y) : ofLE X Y h ≫ Y.arrow = X.arrow :=
   underlying_arrow _
-#align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLe_arrow
+#align category_theory.subobject.of_le_arrow CategoryTheory.Subobject.ofLE_arrow
 
-instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLe X Y h) :=
+instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLE X Y h) :=
   by
   fconstructor
   intro Z f g w
@@ -328,144 +478,250 @@ instance {B : C} (X Y : Subobject B) (h : X ≤ Y) : Mono (ofLe X Y h) :=
   ext
   simpa using w
 
-theorem ofLe_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
+/- warning: category_theory.subobject.of_le_mk_le_mk_of_comm -> CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_commₓ'. -/
+theorem ofLE_mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶ B} [Mono f₁] [Mono f₂]
     (g : A₁ ⟶ A₂) (w : g ≫ f₂ = f₁) :
-    ofLe _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv :=
+    ofLE _ _ (mk_le_mk_of_comm g w) = (underlyingIso _).Hom ≫ g ≫ (underlyingIso _).inv :=
   by
   ext
   simp [w]
-#align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLe_mk_le_mk_of_comm
-
+#align category_theory.subobject.of_le_mk_le_mk_of_comm CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm
+
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMkₓ'. -/
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
-def ofLeMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) : (X : C) ⟶ A :=
-  ofLe X (mk f) h ≫ (underlyingIso f).Hom deriving Mono
-#align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLeMk
-
+def ofLEMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X ≤ mk f) : (X : C) ⟶ A :=
+  ofLE X (mk f) h ≫ (underlyingIso f).Hom deriving Mono
+#align category_theory.subobject.of_le_mk CategoryTheory.Subobject.ofLEMk
+
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLEMk_compₓ'. -/
 @[simp]
-theorem ofLeMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X ≤ mk f) :
-    ofLeMk X f h ≫ f = X.arrow := by simp [of_le_mk]
-#align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLeMk_comp
-
+theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X ≤ mk f) :
+    ofLEMk X f h ≫ f = X.arrow := by simp [of_le_mk]
+#align category_theory.subobject.of_le_mk_comp CategoryTheory.Subobject.ofLEMk_comp
+
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLEₓ'. -/
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
-def ofMkLe {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) : A ⟶ (X : C) :=
-  (underlyingIso f).inv ≫ ofLe (mk f) X h deriving Mono
-#align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLe
-
+def ofMkLE {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f ≤ X) : A ⟶ (X : C) :=
+  (underlyingIso f).inv ≫ ofLE (mk f) X h deriving Mono
+#align category_theory.subobject.of_mk_le CategoryTheory.Subobject.ofMkLE
+
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrowₓ'. -/
 @[simp]
-theorem ofMkLe_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk f ≤ X) :
-    ofMkLe f X h ≫ X.arrow = f := by simp [of_mk_le]
-#align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLe_arrow
+theorem ofMkLE_arrow {B A : C} {f : A ⟶ B} [Mono f] {X : Subobject B} (h : mk f ≤ X) :
+    ofMkLE f X h ≫ X.arrow = f := by simp [of_mk_le]
+#align category_theory.subobject.of_mk_le_arrow CategoryTheory.Subobject.ofMkLE_arrow
 
+#print CategoryTheory.Subobject.ofMkLEMk /-
 /-- An inequality of subobjects is witnessed by some morphism between the corresponding objects. -/
-def ofMkLeMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
+def ofMkLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f ≤ mk g) :
     A₁ ⟶ A₂ :=
-  (underlyingIso f).inv ≫ ofLe (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
-#align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLeMk
+  (underlyingIso f).inv ≫ ofLE (mk f) (mk g) h ≫ (underlyingIso g).Hom deriving Mono
+#align category_theory.subobject.of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk
+-/
 
+#print CategoryTheory.Subobject.ofMkLEMk_comp /-
 @[simp]
-theorem ofMkLeMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono f] [Mono g] (h : mk f ≤ mk g) :
-    ofMkLeMk f g h ≫ g = f := by simp [of_mk_le_mk]
-#align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLeMk_comp
+theorem ofMkLEMk_comp {B A₁ A₂ : C} {f : A₁ ⟶ B} {g : A₂ ⟶ B} [Mono f] [Mono g] (h : mk f ≤ mk g) :
+    ofMkLEMk f g h ≫ g = f := by simp [of_mk_le_mk]
+#align category_theory.subobject.of_mk_le_mk_comp CategoryTheory.Subobject.ofMkLEMk_comp
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLEₓ'. -/
 @[simp, reassoc.1]
-theorem ofLe_comp_ofLe {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
-    ofLe X Y h₁ ≫ ofLe Y Z h₂ = ofLe X Z (h₁.trans h₂) := by
+theorem ofLE_comp_ofLE {B : C} (X Y Z : Subobject B) (h₁ : X ≤ Y) (h₂ : Y ≤ Z) :
+    ofLE X Y h₁ ≫ ofLE Y Z h₂ = ofLE X Z (h₁.trans h₂) := by
   simp [of_le, ← functor.map_comp underlying]
-#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLe_comp_ofLe
-
+#align category_theory.subobject.of_le_comp_of_le CategoryTheory.Subobject.ofLE_comp_ofLE
+
+/- warning: category_theory.subobject.of_le_comp_of_le_mk -> CategoryTheory.Subobject.ofLE_comp_ofLEMk is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMkₓ'. -/
 @[simp, reassoc.1]
-theorem ofLe_comp_ofLeMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h₁ : X ≤ Y)
-    (h₂ : Y ≤ mk f) : ofLe X Y h₁ ≫ ofLeMk Y f h₂ = ofLeMk X f (h₁.trans h₂) := by
+theorem ofLE_comp_ofLEMk {B A : C} (X Y : Subobject B) (f : A ⟶ B) [Mono f] (h₁ : X ≤ Y)
+    (h₂ : Y ≤ mk f) : ofLE X Y h₁ ≫ ofLEMk Y f h₂ = ofLEMk X f (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp_assoc underlying]
-#align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLe_comp_ofLeMk
-
+#align category_theory.subobject.of_le_comp_of_le_mk CategoryTheory.Subobject.ofLE_comp_ofLEMk
+
+/- warning: category_theory.subobject.of_le_mk_comp_of_mk_le -> CategoryTheory.Subobject.ofLEMk_comp_ofMkLE is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLEₓ'. -/
 @[simp, reassoc.1]
-theorem ofLeMk_comp_ofMkLe {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
-    (h₁ : X ≤ mk f) (h₂ : mk f ≤ Y) : ofLeMk X f h₁ ≫ ofMkLe f Y h₂ = ofLe X Y (h₁.trans h₂) := by
+theorem ofLEMk_comp_ofMkLE {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (Y : Subobject B)
+    (h₁ : X ≤ mk f) (h₂ : mk f ≤ Y) : ofLEMk X f h₁ ≫ ofMkLE f Y h₂ = ofLE X Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, ← functor.map_comp underlying]
-#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLeMk_comp_ofMkLe
-
+#align category_theory.subobject.of_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofLEMk_comp_ofMkLE
+
+/- warning: category_theory.subobject.of_le_mk_comp_of_mk_le_mk -> CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMkₓ'. -/
 @[simp, reassoc.1]
-theorem ofLeMk_comp_ofMkLeMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
+theorem ofLEMk_comp_ofMkLEMk {B A₁ A₂ : C} (X : Subobject B) (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B)
     [Mono g] (h₁ : X ≤ mk f) (h₂ : mk f ≤ mk g) :
-    ofLeMk X f h₁ ≫ ofMkLeMk f g h₂ = ofLeMk X g (h₁.trans h₂) := by
+    ofLEMk X f h₁ ≫ ofMkLEMk f g h₂ = ofLEMk X g (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
-#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLeMk_comp_ofMkLeMk
-
+#align category_theory.subobject.of_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk
+
+/- warning: category_theory.subobject.of_mk_le_comp_of_le -> CategoryTheory.Subobject.ofMkLE_comp_ofLE is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLEₓ'. -/
 @[simp, reassoc.1]
-theorem ofMkLe_comp_ofLe {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject B) (h₁ : mk f ≤ X)
-    (h₂ : X ≤ Y) : ofMkLe f X h₁ ≫ ofLe X Y h₂ = ofMkLe f Y (h₁.trans h₂) := by
+theorem ofMkLE_comp_ofLE {B A₁ : C} (f : A₁ ⟶ B) [Mono f] (X Y : Subobject B) (h₁ : mk f ≤ X)
+    (h₂ : X ≤ Y) : ofMkLE f X h₁ ≫ ofLE X Y h₂ = ofMkLE f Y (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
-#align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLe_comp_ofLe
-
+#align category_theory.subobject.of_mk_le_comp_of_le CategoryTheory.Subobject.ofMkLE_comp_ofLE
+
+/- warning: category_theory.subobject.of_mk_le_comp_of_le_mk -> CategoryTheory.Subobject.ofMkLE_comp_ofLEMk is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMkₓ'. -/
 @[simp, reassoc.1]
-theorem ofMkLe_comp_ofLeMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
+theorem ofMkLE_comp_ofLEMk {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (X : Subobject B) (g : A₂ ⟶ B)
     [Mono g] (h₁ : mk f ≤ X) (h₂ : X ≤ mk g) :
-    ofMkLe f X h₁ ≫ ofLeMk X g h₂ = ofMkLeMk f g (h₁.trans h₂) := by
+    ofMkLE f X h₁ ≫ ofLEMk X g h₂ = ofMkLEMk f g (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
-#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLe_comp_ofLeMk
-
+#align category_theory.subobject.of_mk_le_comp_of_le_mk CategoryTheory.Subobject.ofMkLE_comp_ofLEMk
+
+/- warning: category_theory.subobject.of_mk_le_mk_comp_of_mk_le -> CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEₓ'. -/
 @[simp, reassoc.1]
-theorem ofMkLeMk_comp_ofMkLe {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
+theorem ofMkLEMk_comp_ofMkLE {B A₁ A₂ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (X : Subobject B) (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ X) :
-    ofMkLeMk f g h₁ ≫ ofMkLe g X h₂ = ofMkLe f X (h₁.trans h₂) := by
+    ofMkLEMk f g h₁ ≫ ofMkLE g X h₂ = ofMkLE f X (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp underlying]
-#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLeMk_comp_ofMkLe
+#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE
 
+#print CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk /-
 @[simp, reassoc.1]
-theorem ofMkLeMk_comp_ofMkLeMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
+theorem ofMkLEMk_comp_ofMkLEMk {B A₁ A₂ A₃ : C} (f : A₁ ⟶ B) [Mono f] (g : A₂ ⟶ B) [Mono g]
     (h : A₃ ⟶ B) [Mono h] (h₁ : mk f ≤ mk g) (h₂ : mk g ≤ mk h) :
-    ofMkLeMk f g h₁ ≫ ofMkLeMk g h h₂ = ofMkLeMk f h (h₁.trans h₂) := by
+    ofMkLEMk f g h₁ ≫ ofMkLEMk g h h₂ = ofMkLEMk f h (h₁.trans h₂) := by
   simp [of_mk_le, of_le_mk, of_le, of_mk_le_mk, ← functor.map_comp_assoc underlying]
-#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLeMk_comp_ofMkLeMk
+#align category_theory.subobject.of_mk_le_mk_comp_of_mk_le_mk CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk
+-/
 
+/- warning: category_theory.subobject.of_le_refl -> CategoryTheory.Subobject.ofLE_refl is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLE_reflₓ'. -/
 @[simp]
-theorem ofLe_refl {B : C} (X : Subobject B) : ofLe X X le_rfl = 𝟙 _ :=
+theorem ofLE_refl {B : C} (X : Subobject B) : ofLE X X le_rfl = 𝟙 _ :=
   by
   apply (cancel_mono X.arrow).mp
   simp
-#align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLe_refl
+#align category_theory.subobject.of_le_refl CategoryTheory.Subobject.ofLE_refl
 
+#print CategoryTheory.Subobject.ofMkLEMk_refl /-
 @[simp]
-theorem ofMkLeMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLeMk f f le_rfl = 𝟙 _ :=
+theorem ofMkLEMk_refl {B A₁ : C} (f : A₁ ⟶ B) [Mono f] : ofMkLEMk f f le_rfl = 𝟙 _ :=
   by
   apply (cancel_mono f).mp
   simp
-#align category_theory.subobject.of_mk_le_mk_refl CategoryTheory.Subobject.ofMkLeMk_refl
+#align category_theory.subobject.of_mk_le_mk_refl CategoryTheory.Subobject.ofMkLEMk_refl
+-/
 
+/- warning: category_theory.subobject.iso_of_eq -> CategoryTheory.Subobject.isoOfEq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.iso_of_eq CategoryTheory.Subobject.isoOfEqₓ'. -/
 -- As with `of_le`, we have `X` and `Y` as explicit arguments for readability.
 /-- An equality of subobjects gives an isomorphism of the corresponding objects.
 (One could use `underlying.map_iso (eq_to_iso h))` here, but this is more readable.) -/
 @[simps]
 def isoOfEq {B : C} (X Y : Subobject B) (h : X = Y) : (X : C) ≅ (Y : C)
     where
-  Hom := ofLe _ _ h.le
-  inv := ofLe _ _ h.ge
+  Hom := ofLE _ _ h.le
+  inv := ofLE _ _ h.ge
 #align category_theory.subobject.iso_of_eq CategoryTheory.Subobject.isoOfEq
 
+/- warning: category_theory.subobject.iso_of_eq_mk -> CategoryTheory.Subobject.isoOfEqMk is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.iso_of_eq_mk CategoryTheory.Subobject.isoOfEqMkₓ'. -/
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfEqMk {B A : C} (X : Subobject B) (f : A ⟶ B) [Mono f] (h : X = mk f) : (X : C) ≅ A
     where
-  Hom := ofLeMk X f h.le
-  inv := ofMkLe f X h.ge
+  Hom := ofLEMk X f h.le
+  inv := ofMkLE f X h.ge
 #align category_theory.subobject.iso_of_eq_mk CategoryTheory.Subobject.isoOfEqMk
 
+/- warning: category_theory.subobject.iso_of_mk_eq -> CategoryTheory.Subobject.isoOfMkEq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.iso_of_mk_eq CategoryTheory.Subobject.isoOfMkEqₓ'. -/
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfMkEq {B A : C} (f : A ⟶ B) [Mono f] (X : Subobject B) (h : mk f = X) : A ≅ (X : C)
     where
-  Hom := ofMkLe f X h.le
-  inv := ofLeMk X f h.ge
+  Hom := ofMkLE f X h.le
+  inv := ofLEMk X f h.ge
 #align category_theory.subobject.iso_of_mk_eq CategoryTheory.Subobject.isoOfMkEq
 
+#print CategoryTheory.Subobject.isoOfMkEqMk /-
 /-- An equality of subobjects gives an isomorphism of the corresponding objects. -/
 @[simps]
 def isoOfMkEqMk {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (h : mk f = mk g) :
     A₁ ≅ A₂ where
-  Hom := ofMkLeMk f g h.le
-  inv := ofMkLeMk g f h.ge
+  Hom := ofMkLEMk f g h.le
+  inv := ofMkLEMk g f h.ge
 #align category_theory.subobject.iso_of_mk_eq_mk CategoryTheory.Subobject.isoOfMkEqMk
+-/
 
 end Subobject
 
@@ -473,37 +729,53 @@ open CategoryTheory.Limits
 
 namespace Subobject
 
+#print CategoryTheory.Subobject.lower /-
 /-- Any functor `mono_over X ⥤ mono_over Y` descends to a functor
 `subobject X ⥤ subobject Y`, because `mono_over Y` is thin. -/
 def lower {Y : D} (F : MonoOver X ⥤ MonoOver Y) : Subobject X ⥤ Subobject Y :=
   ThinSkeleton.map F
 #align category_theory.subobject.lower CategoryTheory.Subobject.lower
+-/
 
+#print CategoryTheory.Subobject.lower_iso /-
 /-- Isomorphic functors become equal when lowered to `subobject`.
 (It's not as evil as usual to talk about equality between functors
 because the categories are thin and skeletal.) -/
 theorem lower_iso (F₁ F₂ : MonoOver X ⥤ MonoOver Y) (h : F₁ ≅ F₂) : lower F₁ = lower F₂ :=
   ThinSkeleton.map_iso_eq h
 #align category_theory.subobject.lower_iso CategoryTheory.Subobject.lower_iso
+-/
 
+#print CategoryTheory.Subobject.lower₂ /-
 /-- A ternary version of `subobject.lower`. -/
 def lower₂ (F : MonoOver X ⥤ MonoOver Y ⥤ MonoOver Z) : Subobject X ⥤ Subobject Y ⥤ Subobject Z :=
   ThinSkeleton.map₂ F
 #align category_theory.subobject.lower₂ CategoryTheory.Subobject.lower₂
+-/
 
+#print CategoryTheory.Subobject.lower_comm /-
 @[simp]
 theorem lower_comm (F : MonoOver Y ⥤ MonoOver X) :
     toThinSkeleton _ ⋙ lower F = F ⋙ toThinSkeleton _ :=
   rfl
 #align category_theory.subobject.lower_comm CategoryTheory.Subobject.lower_comm
+-/
 
+#print CategoryTheory.Subobject.lowerAdjunction /-
 /-- An adjunction between `mono_over A` and `mono_over B` gives an adjunction
 between `subobject A` and `subobject B`. -/
 def lowerAdjunction {A : C} {B : D} {L : MonoOver A ⥤ MonoOver B} {R : MonoOver B ⥤ MonoOver A}
     (h : L ⊣ R) : lower L ⊣ lower R :=
   ThinSkeleton.lowerAdjunction _ _ h
 #align category_theory.subobject.lower_adjunction CategoryTheory.Subobject.lowerAdjunction
+-/
 
+/- warning: category_theory.subobject.lower_equivalence -> CategoryTheory.Subobject.lowerEquivalence is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.lower_equivalence CategoryTheory.Subobject.lowerEquivalenceₓ'. -/
 /-- An equivalence between `mono_over A` and `mono_over B` gives an equivalence
 between `subobject A` and `subobject B`. -/
 @[simps]
@@ -527,12 +799,20 @@ section Pullback
 
 variable [HasPullbacks C]
 
+#print CategoryTheory.Subobject.pullback /-
 /-- When `C` has pullbacks, a morphism `f : X ⟶ Y` induces a functor `subobject Y ⥤ subobject X`,
 by pulling back a monomorphism along `f`. -/
 def pullback (f : X ⟶ Y) : Subobject Y ⥤ Subobject X :=
   lower (MonoOver.pullback f)
 #align category_theory.subobject.pullback CategoryTheory.Subobject.pullback
+-/
 
+/- warning: category_theory.subobject.pullback_id -> CategoryTheory.Subobject.pullback_id is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.pullback_id CategoryTheory.Subobject.pullback_idₓ'. -/
 theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -541,6 +821,12 @@ theorem pullback_id (x : Subobject X) : (pullback (𝟙 X)).obj x = x :=
   exact ⟨mono_over.pullback_id.app f⟩
 #align category_theory.subobject.pullback_id CategoryTheory.Subobject.pullback_id
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.pullback_comp CategoryTheory.Subobject.pullback_compₓ'. -/
 theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
     (pullback (f ≫ g)).obj x = (pullback f).obj ((pullback g).obj x) :=
   by
@@ -556,13 +842,21 @@ end Pullback
 
 section Map
 
+#print CategoryTheory.Subobject.map /-
 /-- We can map subobjects of `X` to subobjects of `Y`
 by post-composition with a monomorphism `f : X ⟶ Y`.
 -/
 def map (f : X ⟶ Y) [Mono f] : Subobject X ⥤ Subobject Y :=
   lower (MonoOver.map f)
 #align category_theory.subobject.map CategoryTheory.Subobject.map
+-/
 
+/- warning: category_theory.subobject.map_id -> CategoryTheory.Subobject.map_id is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} (x : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 X) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 X))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 X X (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X) (CategoryTheory.CategoryStruct.id.mono.{u1, u2} C _inst_1 X)) x) x
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_id CategoryTheory.Subobject.map_idₓ'. -/
 theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   by
   apply Quotient.inductionOn' x
@@ -571,6 +865,12 @@ theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x :=
   exact ⟨mono_over.map_id.app f⟩
 #align category_theory.subobject.map_id CategoryTheory.Subobject.map_id
 
+/- warning: category_theory.subobject.map_comp -> CategoryTheory.Subobject.map_comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_comp CategoryTheory.Subobject.map_compₓ'. -/
 theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X) :
     (map (f ≫ g)).obj x = (map g).obj ((map f).obj x) :=
   by
@@ -580,11 +880,18 @@ theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X)
   refine' ⟨(mono_over.map_comp _ _).app t⟩
 #align category_theory.subobject.map_comp CategoryTheory.Subobject.map_comp
 
+/- warning: category_theory.subobject.map_iso -> CategoryTheory.Subobject.mapIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C}, (CategoryTheory.Iso.{u1, u2} C _inst_1 A B) -> (CategoryTheory.Equivalence.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Subobject.category.{u2, u1} C _inst_1 A) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.category.{u2, u1} C _inst_1 B))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C}, (CategoryTheory.Iso.{u1, u2} C _inst_1 A B) -> (CategoryTheory.Equivalence.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 A))) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIsoₓ'. -/
 /-- Isomorphic objects have equivalent subobject lattices. -/
 def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
 
+#print CategoryTheory.Subobject.mapIsoToOrderIso /-
 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
 -- whose left hand side is not in simp normal form.
 /-- In fact, there's a type level bijection between the subobjects of isomorphic objects,
@@ -605,25 +912,46 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y
       apply_fun (map e.hom).obj  at h
       exact h
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
+-/
 
+/- warning: category_theory.subobject.map_iso_to_order_iso_apply -> CategoryTheory.Subobject.mapIsoToOrderIso_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_apply (e : X ≅ Y) (P : Subobject X) :
     mapIsoToOrderIso e P = (map e.Hom).obj P :=
   rfl
 #align category_theory.subobject.map_iso_to_order_iso_apply CategoryTheory.Subobject.mapIsoToOrderIso_apply
 
+/- warning: category_theory.subobject.map_iso_to_order_iso_symm_apply -> CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_applyₓ'. -/
 @[simp]
 theorem mapIsoToOrderIso_symm_apply (e : X ≅ Y) (Q : Subobject Y) :
     (mapIsoToOrderIso e).symm Q = (map e.inv).obj Q :=
   rfl
 #align category_theory.subobject.map_iso_to_order_iso_symm_apply CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply
 
+#print CategoryTheory.Subobject.mapPullbackAdj /-
 /-- `map f : subobject X ⥤ subobject Y` is
 the left adjoint of `pullback f : subobject Y ⥤ subobject X`. -/
 def mapPullbackAdj [HasPullbacks C] (f : X ⟶ Y) [Mono f] : map f ⊣ pullback f :=
   lowerAdjunction (MonoOver.mapPullbackAdj f)
 #align category_theory.subobject.map_pullback_adj CategoryTheory.Subobject.mapPullbackAdj
+-/
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.pullback_map_self CategoryTheory.Subobject.pullback_map_selfₓ'. -/
 @[simp]
 theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject X) :
     (pullback f).obj ((map f).obj g) = g := by
@@ -634,6 +962,12 @@ theorem pullback_map_self [HasPullbacks C] (f : X ⟶ Y) [Mono f] (g : Subobject
   exact ⟨(mono_over.pullback_map_self f).app _⟩
 #align category_theory.subobject.pullback_map_self CategoryTheory.Subobject.pullback_map_self
 
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(CategoryTheory.MonoOver.{u1, u2} C _inst_1 W) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 W))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 Z) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Z) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Z)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Z) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Z))) (CategoryTheory.Subobject.pullback.{u1, u2} C _inst_1 Z W _inst_3 k) (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 Y) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 Y))) (CategoryTheory.Subobject.{u1, u2} C _inst_1 W) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.ThinSkeleton.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 W) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 W)) (CategoryTheory.ThinSkeleton.preorder.{u1, max u2 u1} (CategoryTheory.MonoOver.{u1, u2} C _inst_1 W) (CategoryTheory.MonoOver.category.{u2, u1} C _inst_1 W))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y W h _inst_4) p)))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.Limits.HasPullbacks.{u1, u2} C _inst_1] {X : C} {Y : C} {Z : C} {W : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} {g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z} {h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y W} {k : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z W} [_inst_4 : CategoryTheory.Mono.{u1, u2} C _inst_1 Y W h] [_inst_5 : CategoryTheory.Mono.{u1, u2} C _inst_1 X Z g] (comm : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X W) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y W f h) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z W g k)), (CategoryTheory.Limits.IsLimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) C _inst_1 (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 Y Z W h k) (CategoryTheory.Limits.PullbackCone.mk.{u1, u2} C _inst_1 Y Z W h k X f g comm)) -> (forall (p : CategoryTheory.Subobject.{u1, u2} C _inst_1 Y), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Z) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} 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(CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 W))) (CategoryTheory.Subobject.map.{u1, u2} C _inst_1 Y W h _inst_4)) p)))
+Case conversion may be inaccurate. Consider using '#align category_theory.subobject.map_pullback CategoryTheory.Subobject.map_pullbackₓ'. -/
 theorem map_pullback [HasPullbacks C] {X Y Z W : C} {f : X ⟶ Y} {g : X ⟶ Z} {h : Y ⟶ W} {k : Z ⟶ W}
     [Mono h] [Mono g] (comm : f ≫ h = g ≫ k) (t : IsLimit (PullbackCone.mk f g comm))
     (p : Subobject Y) : (map g).obj ((pullback f).obj p) = (pullback k).obj ((map h).obj p) :=
@@ -665,6 +999,7 @@ section Exists
 
 variable [HasImages C]
 
+#print CategoryTheory.Subobject.exists_ /-
 /-- The functor from subobjects of `X` to subobjects of `Y` given by
 sending the subobject `S` to its "image" under `f`, usually denoted $\exists_f$.
 For instance, when `C` is the category of types,
@@ -673,22 +1008,27 @@ viewing `subobject X` as `set X` this is just `set.image f`.
 This functor is left adjoint to the `pullback f` functor (shown in `exists_pullback_adj`)
 provided both are defined, and generalises the `map f` functor, again provided it is defined.
 -/
-def exists (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
+def exists_ (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
   lower (MonoOver.exists_ f)
-#align category_theory.subobject.exists CategoryTheory.Subobject.exists
+#align category_theory.subobject.exists CategoryTheory.Subobject.exists_
+-/
 
+#print CategoryTheory.Subobject.exists_iso_map /-
 /-- When `f : X ⟶ Y` is a monomorphism, `exists f` agrees with `map f`.
 -/
-theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists f = map f :=
+theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists_ f = map f :=
   lower_iso _ _ (MonoOver.existsIsoMap f)
 #align category_theory.subobject.exists_iso_map CategoryTheory.Subobject.exists_iso_map
+-/
 
+#print CategoryTheory.Subobject.existsPullbackAdj /-
 /-- `exists f : subobject X ⥤ subobject Y` is
 left adjoint to `pullback f : subobject Y ⥤ subobject X`.
 -/
-def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : exists f ⊣ pullback f :=
+def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : exists_ f ⊣ pullback f :=
   lowerAdjunction (MonoOver.existsPullbackAdj f)
 #align category_theory.subobject.exists_pullback_adj CategoryTheory.Subobject.existsPullbackAdj
+-/
 
 end Exists
 
Diff
@@ -674,7 +674,7 @@ This functor is left adjoint to the `pullback f` functor (shown in `exists_pullb
 provided both are defined, and generalises the `map f` functor, again provided it is defined.
 -/
 def exists (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
-  lower (MonoOver.exists f)
+  lower (MonoOver.exists_ f)
 #align category_theory.subobject.exists CategoryTheory.Subobject.exists
 
 /-- When `f : X ⟶ Y` is a monomorphism, `exists f` agrees with `map f`.

Changes in mathlib4

mathlib3
mathlib4
chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

Diff
@@ -564,7 +564,7 @@ theorem pullback_comp (f : X ⟶ Y) (g : Y ⟶ Z) (x : Subobject Z) :
   exact Quotient.sound ⟨(MonoOver.pullbackComp _ _).app t⟩
 #align category_theory.subobject.pullback_comp CategoryTheory.Subobject.pullback_comp
 
-instance (f : X ⟶ Y) : Faithful (pullback f) where
+instance (f : X ⟶ Y) : (pullback f).Faithful where
 
 end Pullback
 
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -79,7 +79,6 @@ namespace CategoryTheory
 open CategoryTheory CategoryTheory.Category CategoryTheory.Limits
 
 variable {C : Type u₁} [Category.{v₁} C] {X Y Z : C}
-
 variable {D : Type u₂} [Category.{v₂} D]
 
 /-!
chore: classify removed @[ext] porting notes (#11183)

Classifies by adding issue number #11182 to porting notes claiming:

removed @[ext]

Diff
@@ -285,7 +285,7 @@ theorem eq_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ≅ (Y : C))
   le_antisymm (le_of_comm f.hom w) <| le_of_comm f.inv <| f.inv_comp_eq.2 w.symm
 #align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_comm
 
--- Porting note: removed @[ext]
+-- Porting note (#11182): removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X : C) ≅ A)
@@ -293,7 +293,7 @@ theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X
   eq_of_comm (i.trans (underlyingIso f).symm) <| by simp [w]
 #align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_comm
 
--- Porting note: removed @[ext]
+-- Porting note (#11182): removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A ≅ (X : C))
@@ -301,7 +301,7 @@ theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A
   Eq.symm <| eq_mk_of_comm _ i.symm <| by rw [Iso.symm_hom, Iso.inv_comp_eq, w]
 #align category_theory.subobject.mk_eq_of_comm CategoryTheory.Subobject.mk_eq_of_comm
 
--- Porting note: removed @[ext]
+-- Porting note (#11182): removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (i : A₁ ≅ A₂)
style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

  • converts "--porting note" into "-- Porting note";
  • converts "porting note" into "Porting note".
Diff
@@ -105,7 +105,7 @@ instance (X : C) : PartialOrder (Subobject X) := by
 
 namespace Subobject
 
--- porting note: made it a def rather than an abbreviation
+-- Porting note: made it a def rather than an abbreviation
 -- because Lean would make it too transparent
 /-- Convenience constructor for a subobject. -/
 def mk {X A : C} (f : A ⟶ X) [Mono f] : Subobject X :=
@@ -183,7 +183,7 @@ noncomputable def underlying {X : C} : Subobject X ⥤ C :=
 
 instance : CoeOut (Subobject X) C where coe Y := underlying.obj Y
 
--- porting note: removed as it has become a syntactic tautology
+-- Porting note: removed as it has become a syntactic tautology
 -- @[simp]
 -- theorem underlying_as_coe {X : C} (P : Subobject X) : underlying.obj P = P :=
 --   rfl
@@ -285,7 +285,7 @@ theorem eq_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ≅ (Y : C))
   le_antisymm (le_of_comm f.hom w) <| le_of_comm f.inv <| f.inv_comp_eq.2 w.symm
 #align category_theory.subobject.eq_of_comm CategoryTheory.Subobject.eq_of_comm
 
--- porting note: removed @[ext]
+-- Porting note: removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X : C) ≅ A)
@@ -293,7 +293,7 @@ theorem eq_mk_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : (X
   eq_of_comm (i.trans (underlyingIso f).symm) <| by simp [w]
 #align category_theory.subobject.eq_mk_of_comm CategoryTheory.Subobject.eq_mk_of_comm
 
--- porting note: removed @[ext]
+-- Porting note: removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A ≅ (X : C))
@@ -301,7 +301,7 @@ theorem mk_eq_of_comm {B A : C} {X : Subobject B} (f : A ⟶ B) [Mono f] (i : A
   Eq.symm <| eq_mk_of_comm _ i.symm <| by rw [Iso.symm_hom, Iso.inv_comp_eq, w]
 #align category_theory.subobject.mk_eq_of_comm CategoryTheory.Subobject.mk_eq_of_comm
 
--- porting note: removed @[ext]
+-- Porting note: removed @[ext]
 /-- To show that two subobjects are equal, it suffices to exhibit an isomorphism commuting with
     the arrows. -/
 theorem mk_eq_mk_of_comm {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B) [Mono f] [Mono g] (i : A₁ ≅ A₂)
feat(CategoryTheory/Sites): internal hom of (pre)sheaves (#8622)

In this PR, we define a presheaf presheafHom F G when F and G are presheaves Cᵒᵖ ⥤ A and show that it is a sheaf when G is a sheaf (for a certain Grothendieck topology on C).

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

Diff
@@ -580,7 +580,7 @@ def map (f : X ⟶ Y) [Mono f] : Subobject X ⥤ Subobject Y :=
 
 theorem map_id (x : Subobject X) : (map (𝟙 X)).obj x = x := by
   induction' x using Quotient.inductionOn' with f
-  exact Quotient.sound ⟨MonoOver.mapId.app f⟩
+  exact Quotient.sound ⟨(MonoOver.mapId _).app f⟩
 #align category_theory.subobject.map_id CategoryTheory.Subobject.map_id
 
 theorem map_comp (f : X ⟶ Y) (g : Y ⟶ Z) [Mono f] [Mono g] (x : Subobject X) :
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -136,7 +136,7 @@ end
 
 /-- Declare a function on subobjects of `X` by specifying a function on monomorphisms with
     codomain `X`. -/
-protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α)
+protected def lift {α : Sort*} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α)
     (h :
       ∀ ⦃A B : C⦄ (f : A ⟶ X) (g : B ⟶ X) [Mono f] [Mono g] (i : A ≅ B),
         i.hom ≫ g = f → F f = F g) :
@@ -146,7 +146,7 @@ protected def lift {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mon
 #align category_theory.subobject.lift CategoryTheory.Subobject.lift
 
 @[simp]
-protected theorem lift_mk {α : Sort _} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α) {h A}
+protected theorem lift_mk {α : Sort*} {X : C} (F : ∀ ⦃A : C⦄ (f : A ⟶ X) [Mono f], α) {h A}
     (f : A ⟶ X) [Mono f] : Subobject.lift F h (Subobject.mk f) = F f :=
   rfl
 #align category_theory.subobject.lift_mk CategoryTheory.Subobject.lift_mk
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,11 +2,6 @@
 Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.subobject.basic
-! 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.CategoryTheory.Subobject.MonoOver
 import Mathlib.CategoryTheory.Skeletal
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.ConcreteCategory.Basic
 import Mathlib.Tactic.ApplyFun
 import Mathlib.Tactic.CategoryTheory.Elementwise
 
+#align_import category_theory.subobject.basic from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Subobjects
 
chore: cleanup whitespace (#5988)

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

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

Diff
@@ -262,7 +262,7 @@ theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
   Quotient.inductionOn' P fun Q => by
     obtain ⟨e⟩ := @Quotient.mk_out' _ (isIsomorphicSetoid _) Q
-    exact Quotient.sound' ⟨MonoOver.isoMk (Iso.refl _)  ≪≫ e⟩
+    exact Quotient.sound' ⟨MonoOver.isoMk (Iso.refl _) ≪≫ e⟩
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
 
 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
chore: fix focusing dots (#5708)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

Diff
@@ -610,14 +610,14 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y where
   map_rel_iff' {A B} := by
     dsimp
     constructor
-    . intro h
+    · intro h
       apply_fun (map e.inv).obj at h
-      . simpa only [← map_comp, e.hom_inv_id, map_id] using h
-      . apply Functor.monotone
-    . intro h
+      · simpa only [← map_comp, e.hom_inv_id, map_id] using h
+      · apply Functor.monotone
+    · intro h
       apply_fun (map e.hom).obj at h
-      . exact h
-      . apply Functor.monotone
+      · exact h
+      · apply Functor.monotone
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
 
 @[simp]
chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

Diff
@@ -262,7 +262,7 @@ theorem mk_le_mk_of_comm {B A₁ A₂ : C} {f₁ : A₁ ⟶ B} {f₂ : A₂ ⟶
 theorem mk_arrow (P : Subobject X) : mk P.arrow = P :=
   Quotient.inductionOn' P fun Q => by
     obtain ⟨e⟩ := @Quotient.mk_out' _ (isIsomorphicSetoid _) Q
-    exact Quotient.sound' ⟨MonoOver.isoMk (Iso.refl _) (by aesop_cat) ≪≫ e⟩
+    exact Quotient.sound' ⟨MonoOver.isoMk (Iso.refl _)  ≪≫ e⟩
 #align category_theory.subobject.mk_arrow CategoryTheory.Subobject.mk_arrow
 
 theorem le_of_comm {B : C} {X Y : Subobject B} (f : (X : C) ⟶ (Y : C)) (w : f ≫ Y.arrow = X.arrow) :
chore: move category theory tactics to Tactic/CategoryTheory (#4461)
Diff
@@ -12,7 +12,7 @@ import Mathlib.CategoryTheory.Subobject.MonoOver
 import Mathlib.CategoryTheory.Skeletal
 import Mathlib.CategoryTheory.ConcreteCategory.Basic
 import Mathlib.Tactic.ApplyFun
-import Mathlib.Tactic.Elementwise
+import Mathlib.Tactic.CategoryTheory.Elementwise
 
 /-!
 # Subobjects
chore: tidy various files (#3996)
Diff
@@ -28,7 +28,7 @@ There is a coercion from `Subobject X` back to the ambient category `C`
 `P.arrow : (P : C) ⟶ X` is the inclusion morphism.
 
 We provide
-* `def pullback [HasPpullbacks C] (f : X ⟶ Y) : Subobject Y ⥤ Subobject X`
+* `def pullback [HasPullbacks C] (f : X ⟶ Y) : Subobject Y ⥤ Subobject X`
 * `def map (f : X ⟶ Y) [Mono f] : Subobject X ⥤ Subobject Y`
 * `def «exists_» [HasImages C] (f : X ⟶ Y) : Subobject X ⥤ Subobject Y`
 and prove their basic properties and relationships.
chore: tidy various files (#3848)
Diff
@@ -87,7 +87,7 @@ variable {D : Type u₂} [Category.{v₂} D]
 
 /-!
 We now construct the subobject lattice for `X : C`,
-as the quotient by isomorphisms of `mono_over X`.
+as the quotient by isomorphisms of `MonoOver X`.
 
 Since `MonoOver X` is a thin category, we use `ThinSkeleton` to take the quotient.
 
@@ -597,6 +597,7 @@ def mapIso {A B : C} (e : A ≅ B) : Subobject A ≌ Subobject B :=
   lowerEquivalence (MonoOver.mapIso e)
 #align category_theory.subobject.map_iso CategoryTheory.Subobject.mapIso
 
+-- Porting note: the note below doesn't seem true anymore
 -- @[simps] here generates a lemma `map_iso_to_order_iso_to_equiv_symm_apply`
 -- whose left hand side is not in simp normal form.
 /-- In fact, there's a type level bijection between the subobjects of isomorphic objects,
@@ -614,7 +615,7 @@ def mapIsoToOrderIso (e : X ≅ Y) : Subobject X ≃o Subobject Y where
       . simpa only [← map_comp, e.hom_inv_id, map_id] using h
       . apply Functor.monotone
     . intro h
-      apply_fun (map e.hom).obj  at h
+      apply_fun (map e.hom).obj at h
       . exact h
       . apply Functor.monotone
 #align category_theory.subobject.map_iso_to_order_iso CategoryTheory.Subobject.mapIsoToOrderIso
@@ -671,7 +672,6 @@ section Exists
 
 variable [HasImages C]
 
--- porting note: renamed `exists` as `exists_` because it is a reserved word
 /-- The functor from subobjects of `X` to subobjects of `Y` given by
 sending the subobject `S` to its "image" under `f`, usually denoted $\exists_f$.
 For instance, when `C` is the category of types,
@@ -680,20 +680,20 @@ viewing `Subobject X` as `Set X` this is just `Set.image f`.
 This functor is left adjoint to the `pullback f` functor (shown in `existsPullbackAdj`)
 provided both are defined, and generalises the `map f` functor, again provided it is defined.
 -/
-def exists_ (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
-  lower (MonoOver.exists_ f)
-#align category_theory.subobject.exists CategoryTheory.Subobject.exists_
+def «exists» (f : X ⟶ Y) : Subobject X ⥤ Subobject Y :=
+  lower (MonoOver.exists f)
+#align category_theory.subobject.exists CategoryTheory.Subobject.exists
 
-/-- When `f : X ⟶ Y` is a monomorphism, `exists_ f` agrees with `map f`.
+/-- When `f : X ⟶ Y` is a monomorphism, `exists f` agrees with `map f`.
 -/
-theorem exists_iso_map (f : X ⟶ Y) [Mono f] : exists_ f = map f :=
+theorem exists_iso_map (f : X ⟶ Y) [Mono f] : «exists» f = map f :=
   lower_iso _ _ (MonoOver.existsIsoMap f)
 #align category_theory.subobject.exists_iso_map CategoryTheory.Subobject.exists_iso_map
 
-/-- `exists_ f : Subobject X ⥤ Subobject Y` is
+/-- `exists f : Subobject X ⥤ Subobject Y` is
 left adjoint to `pullback f : Subobject Y ⥤ Subobject X`.
 -/
-def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : exists_ f ⊣ pullback f :=
+def existsPullbackAdj (f : X ⟶ Y) [HasPullbacks C] : «exists» f ⊣ pullback f :=
   lowerAdjunction (MonoOver.existsPullbackAdj f)
 #align category_theory.subobject.exists_pullback_adj CategoryTheory.Subobject.existsPullbackAdj
 
feat: port CategoryTheory.Subobject.Basic (#3444)

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

Dependencies 141

142 files ported (100.0%)
57696 lines ported (100.0%)

All dependencies are ported!