Theorems · Theorem · category theory

CategoryTheory.Limits.FormalCoproduct.mapPower_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (U : CategoryTheory.Limits.FormalCoproduct C) {α β γ : Type t}
  [inst_1 : CategoryTheory.Limits.HasProductsOfShape α C] [inst_2 : CategoryTheory.Limits.HasProductsOfShape β C]
  [inst_3 : CategoryTheory.Limits.HasProductsOfShape γ C] (f : α → β) (g : β → γ),
  U.mapPower (g ∘ f) = CategoryTheory.CategoryStruct.comp (U.mapPower g) (U.mapPower f)

Defined in

Mathlib.CategoryTheory.Limits.FormalCoproducts.Cech

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProductsOfShapeCategoryTheory.Limits.HasProductsOfShapeCategoryTheory.Limits.HasProductsOfShape