Entry Value
Name MONO_IMP
Conclusion !p1 p2 q1 q2. (p2 ==> p1) /\ (q1 ==> q2) ==> (p1 ==> q1) ==> p2 ==> q2
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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