Theorems · Theorem · category theory

CategoryTheory.Functor.objEquiv.congr_simp

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F F_1 : CategoryTheory.Functor C D) (e_F : F = F_1)
  [inst_2 : F.IsIso], F.objEquiv = F_1.objEquiv

Defined in: Mathlib.CategoryTheory.IsoCat
Cited by: 0 results in Mathlib
Foundations: Depth 14 from the axioms · uses Classical.choice
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsIso

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
Equivstatement · cited by 8,337
CategoryTheory.Functor.IsIsostatement and proof · cited by 4
CategoryTheory.Functor.objEquivstatement and proof · cited by 3

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