Theorems · Definition · category theory

CategoryTheory.Subobject.functor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [CategoryTheory.Limits.HasPullbacks C] → CategoryTheory.Functor Cᵒᵖ (Type (max u₁ v₁))

Sending X : C to Subobject X is a contravariant functor Cᵒᵖ ⥤ Type.

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

2 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks