Theorems · Definition · category theory

CategoryTheory.Functor.isoWhiskerLeft

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {E : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            (F : CategoryTheory.Functor C D) → {G H : CategoryTheory.Functor D E} → (G ≅ H) → (F.comp G ≅ F.comp H)

If α : G ≅ H is a natural isomorphism then isoWhiskerLeft F α : (F ⋙ G) ≅ (F ⋙ H) has components α.app (F.obj X).

Defined in

Mathlib.CategoryTheory.Whiskering

Cited by

177 results in Mathlib

Foundations

Depth 27 from the axioms, rests on 114 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category