Theorems · Definition · category theory

CategoryTheory.MorphismProperty.Comma.forget

{A : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} A] →
    {B : Type u_2} →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} B] →
        {T : Type u_3} →
          [inst_2 : CategoryTheory.Category.{v_3, u_3} T] →
            (L : CategoryTheory.Functor A T) →
              (R : CategoryTheory.Functor B T) →
                (P : CategoryTheory.MorphismProperty T) →
                  (Q : CategoryTheory.MorphismProperty A) →
                    (W : CategoryTheory.MorphismProperty B) →
                      [inst_3 : Q.IsMultiplicative] →
                        [inst_4 : W.IsMultiplicative] →
                          CategoryTheory.Functor (CategoryTheory.MorphismProperty.Comma L R P Q W)
                            (CategoryTheory.Comma L R)

The forgetful functor.

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

28 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicativeCategoryTheory.MorphismProperty.IsMultiplicative