Theorems · Definition · category theory

CategoryTheory.Functor.asIsomorphism

{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 : CategoryTheory.Functor C D) → [F.IsIso] → CategoryTheory.IsoCat C D

A functor that is an isomorphism of categories assembles into an IsoCat, with Functor.strictInv as its inverse.

Defined in: Mathlib.CategoryTheory.IsoCat
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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
CategoryTheory.IsoCatstatement · cited by 9
CategoryTheory.Functor.IsIsostatement and proof · cited by 4
CategoryTheory.Functor.strictInvproof · cited by 0

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