Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.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] →
            (F : CategoryTheory.Functor B C) →
              (G : CategoryTheory.Functor C D) →
                (S : C) →
                  CategoryTheory.Functor (CategoryTheory.CostructuredArrow F S)
                    (CategoryTheory.CostructuredArrow (F.comp G) (G.obj S))

The functor (F, S) ⥤ (F ⋙ G, G(S)).

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

8 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category