Theorems · Theorem · category theory

CategoryTheory.Limits.FormalCoproduct.mapPower_powerMap

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

Defined in

Mathlib.CategoryTheory.Limits.FormalCoproducts.Cech

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProductsOfShapeCategoryTheory.Limits.HasProductsOfShape