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// thanks to @chantisnake for providing this sample | ||
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// Part D: formulate and prove the associativity of or, namely | ||
// that (X || Y) || Z and X || (Y || Z) are equivalent / the same | ||
absprop PEQ (A: prop, B: prop) | ||
propdef <->(A: prop, B: prop) = PEQ(A, B) | ||
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extern praxi peq_intro {A, B: prop}: (A ->> B) && (B ->> A) -> (A <-> B) | ||
extern praxi peq_elim_from_right {A, B: prop}: (A <-> B) -> B -> A | ||
extern praxi peq_elim_from_left {A, B: prop}: (A <-> B) -> A -> B |
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