import logic data.num
open num
constant b : num
check b + b + b
check true ∧ false ∧ true
check (true ∧ false) ∧ true
check 2 + (2 + 2)
check (2 + 2) + 2
check 1 = (2 + 3)*2
check 2 + 3 * 2 = 3 * 2 + 2
check (true ∨ false) = (true ∨ false) ∧ true
check true ∧ (false ∨ true)
constant A : Type₁
constant a : A
notation 1 := a
check a
open nat
check ℕ → ℕ