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Constructive Lemmas |
T!a. ~ISR (INL a)!x. x = x!b. ISR (INR b)!b. OUTR (INR b) = b!t. (F <=> t) <=> ~t!t. (T <=> t) <=> t!t. (t <=> F) <=> ~t!t. (t <=> T) <=> t!t. F ==> t <=> T!t. T ==> t <=> t!t. t ==> F <=> ~t!t. t ==> T <=> T!t. t ==> t!f g a. case_sum f g (INL a) = f a!f g b. case_sum f g (INR b) = g b!p. (!a. p (INL a)) /\ (!b. p (INR b)) ==> (!x. p x)!x. (?a. x = INL a) \/ (?b. x = INR b)F <=> (!p. p)T <=> (\p. p) = (\p. p)(~) = (\p. p ==> F)(/\) = (\p q. (\f. f p q) = (\f. f T T))(==>) = (\p q. p /\ q <=> p)(\/) = (\p q. !r. (p ==> r) ==> (q ==> r) ==> r)(!) = (\p. p = (\x. T))(?) = (\p. !q. (!x. p x ==> q) ==> q) |
