Entry Value
Name sum_INDUCT
Conclusion !p. (!a. p (INL a)) /\ (!b. p (INR b)) ==> (!x. p x)
Constructive Proof Yes
Axiom 
N|A
Classical Lemmas N|A
Constructive Lemmas
  • T
  • !x. x = x
  • T <=> (\p. p) = (\p. p)
  • (/\) = (\p q. (\f. f p q) = (\f. f T T))
  • (==>) = (\p q. p /\ q <=> p)
  • (\/) = (\p q. !r. (p ==> r) ==> (q ==> r) ==> r)
  • (!) = (\p. p = (\x. T))
  • (?) = (\p. !q. (!x. p x ==> q) ==> q)
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    Contained Package sum-def
    Comment Standard HOL library retrieved from OpenTheory
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