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Proposition: In order to prove a property
forall x in S: Ffor an inductively defined set S, it suffices to prove
for every constructor fi of S.
forall x1,...,xmi, y1 in S, ..., yni in S: (F[x := y1] /\ ... /\ F[x := yni]) => F[x := fi(x1,...,xmi, y1, ..., yni)]