Theorems · Theorem · category theory

CategoryTheory.Equivalence.symmEquivFunctor_obj

∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] (D : Type u_2)
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (e : C ≌ D),
  (CategoryTheory.Equivalence.symmEquivFunctor C D).obj e = Opposite.op e.symm

Defined in: Mathlib.CategoryTheory.Equivalence.Symmetry
Cited by: 0 results in Mathlib
Foundations: Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
Oppositestatement · cited by 8,081
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.Equivalence.symmstatement · cited by 195
CategoryTheory.Equivalence.symmEquivFunctorstatement and proof · cited by 5

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