Theorems · Theorem · category theory

CategoryTheory.MonoOver.mapIso_counitIso

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A B : C} (e : A ≅ B),
  (CategoryTheory.MonoOver.mapIso e).counitIso =
    (CategoryTheory.MonoOver.mapComp e.inv e.hom).symm ≪≫ CategoryTheory.eqToIso ⋯ ≪≫ CategoryTheory.MonoOver.mapId B

Defined in

Mathlib.CategoryTheory.Subobject.MonoOver

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category