Entry Value
Name natural-bits_204
Conclusion !m n. bit_and m n = bits_to_num (MAP (\i. bit_nth m i /\ bit_nth n i) (interval 0 (MIN (bit_width m) (bit_width n))))
Constructive Proof Yes
Axiom
N|A
Classical Lemmas N|A
Constructive Lemmas
  • T
  • !x. x = x
  • !t. (!x. t) <=> t
  • !f y. (\x. f x) y = f y
  • !m n. bit_and m n = bits_to_num (MAP (\i. bit_nth m i /\ bit_nth n i) (interval 0 (MIN (bit_width m) (bit_width n))))
  • T <=> (\p. p) = (\p. p)
  • (/\) = (\p q. (\f. f p q) = (\f. f T T))
  • (==>) = (\p q. p /\ q <=> p)
  • (!) = (\p. p = (\x. T))
  • NUMERAL = (\n. n)
  • Contained Package natural-bits
    Comment Probability package from OpenTheory.
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