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Theorems · Theorem · category theory

CategoryTheory.Equivalence.id_asNatTrans

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {e : C ≌ D},
  CategoryTheory.Equivalence.asNatTrans (CategoryTheory.CategoryStruct.id e) =
    CategoryTheory.CategoryStruct.id e.functor
Defined in
Mathlib.CategoryTheory.Equivalence
Cited by
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Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Category
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Equivalence.functor · cited by 1268Equivalence.functorCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceCategoryTheory.Equivalence.asNatTrans · cited by 14Equivalence.asNatTransEquivalence.id_asNatTransCITED BYCITES

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