∀ {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 (⊥_ C) X],
  (CategoryTheory.Limits.initialMul X).hom = CategoryTheory.Limits.prod.fst