Theorems · Inductive type · category theory

CategoryTheory.MorphismProperty.Comma.Hom

{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} →
                      CategoryTheory.MorphismProperty.Comma L R P Q W →
                        CategoryTheory.MorphismProperty.Comma L R P Q W → Type (max v_1 v_2)

A morphism in P.Comma L R Q W is a morphism in Comma L R where the left hom satisfies Q and the right one satisfies W.

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

15 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category