| Entry |
Value |
|
Name |
real_div |
|
Conclusion |
!x y. ~(y = &0) ==> x / y = x * inv y |
|
Constructive Proof |
Yes |
|
Axiom |
N|A |
|
Classical Lemmas |
N|A |
|
Constructive Lemmas |
T!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 ==> tF <=> (!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)) |
|
Contained Package |
real-def |
|
Comment |
Standard HOL library retrieved from OpenTheory |