Theorems · Inductive type · category theory

CategoryTheory.CommaMorphism

{A : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} A] →
    {B : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
        {T : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
            {L : CategoryTheory.Functor A T} →
              {R : CategoryTheory.Functor B T} → CategoryTheory.Comma L R → CategoryTheory.Comma L R → Type (max v₁ v₂)

A morphism between two objects in the comma category is a commutative square connecting the morphisms coming from the two objects using morphisms in the image of the functors L and R.

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

16 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category