Theorems · Theorem · category theory

CategoryTheory.NatIso.isIso_map_iff

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F₁ F₂ : CategoryTheory.Functor C D} (e : F₁ ≅ F₂) {X Y : C} (f : X ⟶ Y),
  CategoryTheory.IsIso (F₁.map f) ↔ CategoryTheory.IsIso (F₂.map f)

Defined in

Mathlib.CategoryTheory.NatIso

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category