Theorems · Theorem · category theory

CategoryTheory.Subfunctor.ofSection_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor Cᵒᵖ (Type w)} {X : Cᵒᵖ}
  (x : F.obj X) (U : Cᵒᵖ),
  (CategoryTheory.Subfunctor.ofSection x).obj U = {u | ∃ f, (CategoryTheory.ConcreteCategory.hom (F.map f)) x = u}

Defined in

Mathlib.CategoryTheory.Subfunctor.OfSection

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category