CC_EQ_I

Entry	Value
Name	CC_EQ_I
Conclusion	!f. C (C f) = f
Constructive Proof	Yes
Axiom	(\a. a = (\b. (\c. c) = (\c. c))) (\d. (\e. d e) = d)
Classical Lemmas	N\|A
Constructive Lemmas	T !x y. x = y <=> y = x !x y. x = y ==> y = x !x. x = x !t. (!x. t) <=> t !t. F ==> t <=> T !t. T ==> t <=> t !t. t ==> F <=> ~t !t. t ==> T <=> T !t. t ==> t !f y. (\x. f x) y = f y !f g. (!x. f x = g x) <=> f = g !f g. (!x. f x = g x) ==> f = g !t. (\x. t x) = t !f x y. C f x y = f y x 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. p = (\x. T)) C = (\f x y. f y x)
Contained Package	function-thm
Comment	Standard HOL library retrieved from OpenTheory