:type ∃ (x:Z). x > 3 :type ∃ (x:Q). x > 3 :type ∃ (x:N), (y : N). x > y :type ∃ (x:N). ∃ (y:N). x > y :type ∀ (x:N), (y:N), (z:N). (x + y) + z == x + (y + z) :type ∃ (x:N). ∀ (y:N). x <= y :type not (∀ x:Bool. true or x) :type (∀ x:Void. false) and true :type (∀ x:Void. false) or true