Entry Value
Name stream_51
Conclusion !l s n. snth (sappend l s) n = (if n < LENGTH l then nth l n else snth s (n - LENGTH l))
Constructive Proof Yes
Axiom
N|A
Classical Lemmas N|A
Constructive Lemmas
  • T
  • !t. (!x. t) <=> t
  • !t. (T <=> t) <=> t
  • !l s n. snth (sappend l s) n = (if n < LENGTH l then nth l n else snth s (n - LENGTH l))
  • !l s. sappend l s = stream (\n. if n < LENGTH l then nth l n else snth s (n - LENGTH l))
  • !s. stream (snth s) = s
  • 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 stream
    Comment Stream package from OpenTheory.
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