Entry Value
Name FINITE_HAS_SIZE
Conclusion !s. FINITE s <=> s HAS_SIZE CARD s
Constructive Proof Yes
Axiom
N|A
Classical Lemmas N|A
Constructive Lemmas
  • T
  • !x. x = x
  • !t. (!x. t) <=> t
  • !t. F /\ t <=> F
  • !t. T /\ t <=> t
  • !t. t /\ F <=> F
  • !t. t /\ T <=> t
  • !t. t /\ t <=> t
  • !s n. s HAS_SIZE n <=> FINITE s /\ CARD s = n
  • F <=> (!p. p)
  • 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-size-thm
    Comment Standard HOL library retrieved from OpenTheory
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