Entry
Value
Name
TRIV_FORALL_OR_THM
Conclusion
!p q. (!x. p \/ q) <=> (!x. p) \/ (!x. q)
Constructive Proof
Yes
Axiom
N|A
Classical Lemmas
N|A
Constructive Lemmas
T
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))
Contained Package
bool-int
Comment
Standard HOL library retrieved from OpenTheory
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