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Theorems · Theorem · category theory

CategoryTheory.shrinkCoyoneda_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] {X : Cᵒᵖ},
  CategoryTheory.shrinkCoyoneda.{w, v, u}.obj X =
    CategoryTheory.FunctorToTypes.shrink.{w, v, v, u} (CategoryTheory.coyoneda.obj X)
Defined in
Mathlib.CategoryTheory.ShrinkYoneda
Cited by
0 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.LocallySmall
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.LocallySmall · cited by 242CategoryTheory.LocallySma…CategoryTheory.coyoneda · cited by 208CategoryTheory.coyonedaCategoryTheory.shrinkCoyoneda · cited by 23CategoryTheory.shrinkCoyo…CategoryTheory.FunctorToTypes.shrink · cited by 9FunctorToTypes.shrinkCategoryTheory.shrinkCoyoneda…CITED BYCITES

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