Theorems · Definition · category theory

CategoryTheory.Functor.mapIso

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor C D) → {X Y : C} → (X ≅ Y) → (F.obj X ≅ F.obj Y)

A functor F : C ⥤ D sends isomorphisms i : X ≅ Y to isomorphisms F.obj X ≅ F.obj Y

Defined in

Mathlib.CategoryTheory.Iso

Cited by

224 results in Mathlib

Foundations

Depth 17 from the axioms, rests on 96 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category