Lang.vectByInd

vect : ℕ → 𝕌 → 𝕌
vect = λx y. ℕ-elim 𝟙 (n ih. y × ih) x

vectZ : (A : 𝕌) → vect Z A ≡ 𝟙 using (Lang.vectByInd.vect.eq)
vectZ = λA. ⋆

vectS : (n : ℕ) (A : 𝕌) → vect (S n) A ≡ A × vect n A using (Lang.vectByInd.vect.eq)
vectS = λn A. ⋆