Theorems · Definition · category theory

CategoryTheory.StructuredArrow.pre

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {B : Type u₄} →
          [inst_2 : CategoryTheory.Category.{v₄, u₄} B] →
            (S : D) →
              (F : CategoryTheory.Functor B C) →
                (G : CategoryTheory.Functor C D) →
                  CategoryTheory.Functor (CategoryTheory.StructuredArrow S (F.comp G))
                    (CategoryTheory.StructuredArrow S G)

The functor (S, F ⋙ G) ⥤ (S, G).

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

32 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category