| Entry |
Value |
|
Name |
sum_CASES |
|
Conclusion |
!x. (?a. x = INL a) \/ (?b. x = INR b) |
|
Constructive Proof |
Yes |
|
Axiom |
N|A |
|
Classical Lemmas |
N|A |
|
Constructive Lemmas |
T!x. x = x!p. (!a. p (INL a)) /\ (!b. p (INR b)) ==> (!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 |
sum-thm |
|
Comment |
Standard HOL library retrieved from OpenTheory |
