Theorems · Definition · category theory

CategoryTheory.Comma.hom

{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} → (self : CategoryTheory.Comma L R) → L.obj self.left ⟶ R.obj self.right

A morphism from L.obj left to R.obj right

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

490 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 12 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category