Theorems · Definition · category theory

CategoryTheory.Subfunctor.ofSection

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {F : CategoryTheory.Functor Cᵒᵖ (Type w)} → {X : Cᵒᵖ} → F.obj X → CategoryTheory.Subfunctor F

The subpresheaf of F : Cᵒᵖ ⥤ Type w that is generated by a section x : F.obj X.

Defined in

Mathlib.CategoryTheory.Subfunctor.OfSection

Cited by

14 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category