Theorems · Definition · category theory

CategoryTheory.Functor.kernel

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u'} →
      [inst_1 : CategoryTheory.Category.{v', u'} D] → CategoryTheory.Functor C D → CategoryTheory.ObjectProperty C

Given a functor F : C ⥤ D, this is the property of objects of C satisfied by those X : C such that IsZero (F.obj X).

Defined in

Mathlib.CategoryTheory.ObjectProperty.ContainsZero

Cited by

5 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category