Theorems · Definition · category theory

CategoryTheory.StructuredArrow.post

{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 : C) →
              (F : CategoryTheory.Functor B C) →
                (G : CategoryTheory.Functor C D) →
                  CategoryTheory.Functor (CategoryTheory.StructuredArrow S F)
                    (CategoryTheory.StructuredArrow (G.obj S) (F.comp G))

The functor (S, F) ⥤ (G(S), F ⋙ G).

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

9 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category