Theorems · Definition · category theory

CategoryTheory.Functor.essImage.witness

{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 : D} → F.essImage Y → C

Get the witnessing object that Y is in the subcategory given by F.

Defined in

Mathlib.CategoryTheory.EssentialImage

Cited by

1 results in Mathlib

Foundations

Depth 9 from the axioms · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Category