Entry Value
Name SUBSET_TRANS
Conclusion !s t u. s SUBSET t /\ t SUBSET u ==> s SUBSET u
Constructive Proof Yes
Axiom
N|A
Classical Lemmas N|A
Constructive Lemmas
  • T
  • !s t. s SUBSET t <=> (!x. x IN s ==> x IN 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 set-thm
    Comment Standard HOL library retrieved from OpenTheory
    Back to main package pageBack to contained package page