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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/structures/Nsec".
19 (* $Id: Nsec.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
21 (*#* printing {#N} $\ensuremath{\mathrel\#_{\mathbb N}}$ *)
38 We prove some basic lemmas of the natural numbers.
40 A variant of [0_S] from the standard library
43 inline cic:/CoRN/model/structures/Nsec/S_O.con.
48 inline cic:/CoRN/model/structures/Nsec/ap_nat.con.
50 inline cic:/CoRN/model/structures/Nsec/ap_nat_irreflexive0.con.
52 inline cic:/CoRN/model/structures/Nsec/ap_nat_symmetric0.con.
54 inline cic:/CoRN/model/structures/Nsec/ap_nat_cotransitive0.con.
56 inline cic:/CoRN/model/structures/Nsec/ap_nat_tight0.con.
61 inline cic:/CoRN/model/structures/Nsec/plus_strext0.con.
63 (*#* There is no inverse for addition, because every candidate will fail for 2
66 inline cic:/CoRN/model/structures/Nsec/no_inverse0.con.
68 (*#* ***Multiplication
71 inline cic:/CoRN/model/structures/Nsec/mult_strext0.con.