| Entry |
Value |
|
Name |
option_cases |
|
Conclusion |
!x. x = NONE \/ (?a. x = SOME a) |
|
Constructive Proof |
Yes |
|
Axiom |
N|A |
|
Classical Lemmas |
N|A |
|
Constructive Lemmas |
T!x. x = x!f y. (\x. f x) y = f y!p. p NONE /\ (!a. p (SOME a)) ==> (!x. p x)T <=> (\p. p) = (\p. p)(/\) = (\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) |
|
Contained Package |
option-thm |
|
Comment |
Standard HOL library retrieved from OpenTheory |
