Theorems · Definition · category theory

CategoryTheory.Comma.mapRight

{B : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} B] →
    {A : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} A] →
        {T : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
            (L : CategoryTheory.Functor A T) →
              {R₁ R₂ : CategoryTheory.Functor B T} →
                (R₂ ⟶ R₁) → CategoryTheory.Functor (CategoryTheory.Comma L R₂) (CategoryTheory.Comma L R₁)

A natural transformation R₁ ⟶ R₂ induces a functor Comma L R₁ ⥤ Comma L R₂.

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

52 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category