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more static libs for matitaprover
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14
15 set "baseuri" "cic:/matita/RELATIONAL-ARITHMETICS/nat_fwd".
16
17 include "nat_defs.ma".
18
19 theorem eq_gen_O_S: \forall (P:Prop). \forall m2. O = S m2 \to P.
20  intros. discriminate H.
21 qed.
22
23 theorem eq_gen_S_O: \forall (P:Prop). \forall m1. S m1 = O \to P.
24  intros. discriminate H.
25 qed.
26
27 theorem eq_gen_S_S: \forall m1,m2. S m1 = S m2 \to m1 = m2.
28  intros. injection H. assumption.
29 qed.