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Mathlib/CategoryTheory/EssentiallySmall.lean

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@@ -38,7 +38,7 @@ namespace CategoryTheory
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/-- A category is `EssentiallySmall.{w}` if there exists
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an equivalence to some `S : Type w` with `[SmallCategory S]`. -/
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@[pp_with_univ]
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@[univ_out_params, pp_with_univ]
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class EssentiallySmall (C : Type u) [Category.{v} C] : Prop where
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/-- An essentially small category is equivalent to some small category. -/
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equiv_smallCategory : ∃ (S : Type w) (_ : SmallCategory S), Nonempty (C ≌ S)
@@ -88,7 +88,7 @@ theorem essentiallySmallSelf : EssentiallySmall.{max w v u} C :=
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See `ShrinkHoms C` for a category instance where every hom set has been replaced by a small model.
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-/
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@[pp_with_univ]
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@[univ_out_params, pp_with_univ]
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class LocallySmall (C : Type u) [Category.{v} C] : Prop where
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/-- A locally small category has small hom-types. -/
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hom_small : ∀ X Y : C, Small.{w} (X ⟶ Y) := by infer_instance

Mathlib/Logic/UnivLE.lean

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@@ -41,7 +41,7 @@ it could be bigger than both!
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See also `Mathlib/CategoryTheory/UnivLE.lean` for the statement that the stronger definition is
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equivalent to `EssSurj (uliftFunctor : Type v ⥤ Type max u v)`.
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-/
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@[pp_with_univ, mk_iff]
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@[univ_out_params, pp_with_univ, mk_iff]
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class UnivLE : Prop where
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small (α : Type u) : Small.{v} α
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