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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.essentiallySmall_unop_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty Cᵒᵖ),
  CategoryTheory.ObjectProperty.EssentiallySmall.{w, v, u} P.unop ↔
    CategoryTheory.ObjectProperty.EssentiallySmall.{w, v, u} P
Defined in
Mathlib.CategoryTheory.ObjectProperty.Small
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.essentiallySmall_costructuredArrow_Spec · cited by 0AlgebraicGeometry.essenti…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryOpposite · cited by 8081OppositeCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.ObjectProperty.unop · cited by 29ObjectProperty.unopCategoryTheory.ObjectProperty.EssentiallySmall · cited by 26ObjectProperty.Essentiall…CategoryTheory.ObjectProperty.op_unop · cited by 10ObjectProperty.op_unopCategoryTheory.ObjectProperty.essentiallySmall_op_iff · cited by 1ObjectProperty.essentiall…ObjectProperty.essentiallySma…CITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.