Theorems · Theorem · category theory

CategoryTheory.NatTrans.rightOpWhiskerRight

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G : CategoryTheory.Functor Cᵒᵖ D} {E : Type u_1} [inst_2 : CategoryTheory.Category.{v_1, u_1} E]
  {H : CategoryTheory.Functor D E} (α : F ⟶ G),
  CategoryTheory.NatTrans.rightOp (CategoryTheory.Functor.whiskerRight α H) =
    CategoryTheory.CategoryStruct.comp (G.rightOpComp H).hom
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Functor.whiskerRight (CategoryTheory.NatTrans.rightOp α) H.op)
        (F.rightOpComp H).inv)

Defined in

Mathlib.CategoryTheory.Opposites

Cited by

1 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category