Theorems · Theorem · category theory

CategoryTheory.NatTrans.isIso_app_iff_of_iso

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  {F G : CategoryTheory.Functor C D} (α : F ⟶ G) {X Y : C} (e : X ≅ Y),
  CategoryTheory.IsIso (α.app X) ↔ CategoryTheory.IsIso (α.app Y)

Defined in

Mathlib.CategoryTheory.MorphismProperty.Basic

Cited by

5 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category