Entry Value
Name FORALL_AND_THM
Conclusion !p q. (!x. p x /\ q x) <=> (!x. p x) /\ (!x. q x)
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. p = (\x. T))
    		•
    Contained Package bool-int
    Comment Standard HOL library retrieved from OpenTheory
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