Theorems · Theorem · category theory

CategoryTheory.Limits.mulInitial_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasStrictInitialObjects C]
  [inst_2 : CategoryTheory.Limits.HasInitial C] (X : C) [inst_3 : CategoryTheory.Limits.HasBinaryProduct X (⊥_ C)],
  (CategoryTheory.Limits.mulInitial X).hom = CategoryTheory.Limits.prod.snd

Defined in

Mathlib.CategoryTheory.Limits.Shapes.StrictInitial

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasStrictInitialObjectsCategoryTheory.Limits.HasInitialCategoryTheory.Limits.HasBinaryProduct