Our Spartan (intensional) Martin-LΓΆf type theory has the empty type β , the unit type π, two-point-type π, natural numbers β, product types Ξ , sum types Ξ£ (and hence binary product types _Γ_), sum types _+_, identity types _β‘_, and universes π€, π₯, π¦, .... \begin{code} {-# OPTIONS --without-K --exact-split --safe #-} module SpartanMLTT where open import Empty public open import Unit public open import Two public open import NaturalNumbers public open import Plus public open import Pi public open import Sigma public open import Universes public open import Id public open import GeneralNotation public \end{code}