Theorems · Definition · category theory

CategoryTheory.MorphismProperty.Over.forget

{T : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} T] →
    (P Q : CategoryTheory.MorphismProperty T) →
      (X : T) → [inst_1 : Q.IsMultiplicative] → CategoryTheory.Functor (P.Over Q X) (CategoryTheory.Over X)

The forgetful functor from the full subcategory of Over X defined by P to Over X.

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

14 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative