Theorems · Definition · category theory

CategoryTheory.WithTerminal.mkCommaObject

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u_1} →
      [inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
        CategoryTheory.Functor (CategoryTheory.WithTerminal C) D →
          CategoryTheory.Comma (CategoryTheory.Functor.id (CategoryTheory.Functor C D)) (CategoryTheory.Functor.const C)

A functor WithTerminal C ⥤ D can be seen as an element of the comma category Comma (𝟭 (C ⥤ D)) (const C).

Defined in

Mathlib.CategoryTheory.WithTerminal.Basic

Cited by

14 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category