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mk_all; remove ULift.conj
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Mathlib.lean

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@@ -2232,6 +2232,7 @@ import Mathlib.CategoryTheory.Category.PartialFun
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import Mathlib.CategoryTheory.Category.Pointed
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import Mathlib.CategoryTheory.Category.Preorder
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import Mathlib.CategoryTheory.Category.Quiv
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import Mathlib.CategoryTheory.Category.Quiv.AsOfFunctor
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import Mathlib.CategoryTheory.Category.ReflQuiv
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import Mathlib.CategoryTheory.Category.RelCat
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import Mathlib.CategoryTheory.Category.TwoP

Mathlib/CategoryTheory/Category/Quiv/AsOfFunctor.lean

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@@ -370,13 +370,13 @@ lemma naturality_tgt {U V : Quiv.{v, u}} {s t : U.α} (f : s ⟶ t)
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instance : (Functor.of (asFunctor.{w, v, u})).Full := ⟨fun {U V : Quiv.{v, u}} μ ↦
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⟨⟨ULift.conj (μ.app 0), asFunctor.natTransEdge μ⟩, by
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⟨⟨ULift.down ∘ μ.app 0 ∘ ULift.up, asFunctor.natTransEdge μ⟩, by
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ext q₀ x
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rcases q₀ with ⟨⟨⟩⟩
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· simp [Functor.of, zero_def]
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· simp [Functor.of, ULift.map, ULift.up_down]
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· rcases x with ⟨⟨s⟩, ⟨t⟩, f : s ⟶ t⟩
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simp only [Functor.of, asFunctor_obj, ULift.down_up, asFunctor.functorial_map_app, asHom,
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ULift.map_up, ULift.conj.eq_1, ULift.up_down]
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ULift.map_up, Function.comp_apply, ULift.up_down]
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ext <;> simp_rw [← one_def] <;> [rw [naturality_src]; rw [naturality_tgt]; simp] <;> simp⟩⟩
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instance : (Functor.of (asFunctor.{w, v, u})).Faithful := ⟨fun {X Y} μ ν h => by

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