Theorems · Theorem · category theory

CategoryTheory.Limits.Pi.constCompPiIsoConst_hom_app

∀ {α : Type w₂} {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  [inst_1 : CategoryTheory.Limits.HasProductsOfShape α C] {I : α → Type u_1}
  [inst_2 : (i : α) → CategoryTheory.Category.{v_1, u_1} (I i)] (X : α → C) (X_1 : (i : α) → I i),
  (CategoryTheory.Limits.Pi.constCompPiIsoConst X).hom.app X_1 = CategoryTheory.CategoryStruct.id (∏ᶜ fun i => X i)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Products

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProductsOfShapeCategoryTheory.Category