Theorems · Theorem · category theory

CategoryTheory.Functor.essImage.ofIso

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F : CategoryTheory.Functor C D} {Y Y' : D} (h : Y ≅ Y'), F.essImage Y → F.essImage Y'

Being in the essential image is a "hygienic" property: it is preserved under isomorphism.

Defined in

Mathlib.CategoryTheory.EssentialImage

Cited by

3 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category