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arithmetics for λδ
[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / nat.txt
1 "cic:/matita/arithmetics/nat/nat.ind"
2 #
3 "cic:/matita/arithmetics/nat/nat_ind.con"
4 "cic:/matita/arithmetics/nat/nat_elim2.con"
5 "cic:/matita/arithmetics/nat/injective_S.con"
6 #
7 "cic:/matita/arithmetics/nat/plus.con"
8 "cic:/matita/arithmetics/nat/plus_n_O.con"
9 "cic:/matita/arithmetics/nat/plus_n_Sm.con"
10 "cic:/matita/arithmetics/nat/plus_O_n.con"
11 "cic:/matita/arithmetics/nat/commutative_plus.con"
12 "cic:/matita/arithmetics/nat/associative_plus.con"
13 "cic:/matita/arithmetics/nat/plus_plus_comm_23.con"
14 "cic:/matita/arithmetics/nat/assoc_plus1.con"
15 "cic:/matita/arithmetics/nat/injective_plus_l.con"
16 "cic:/matita/arithmetics/nat/injective_plus_r.con"
17 "cic:/matita/arithmetics/nat/nat_ind_plus.con"
18 #
19 "cic:/matita/arithmetics/nat/le.ind"
20 "cic:/matita/arithmetics/nat/le_ind.con"
21 "cic:/matita/arithmetics/nat/le_n_Sn.con"
22 "cic:/matita/arithmetics/nat/le_O_n.con"
23 "cic:/matita/arithmetics/nat/le_S_S.con"
24 "cic:/matita/arithmetics/nat/le_or_ge.con"
25 "cic:/matita/arithmetics/nat/le_S_S_to_le.con"
26 "cic:/matita/arithmetics/nat/le_n_O_to_eq.con"
27 "cic:/matita/arithmetics/nat/le_to_le_to_eq.con"
28 "cic:/matita/arithmetics/nat/transitive_le.con"
29 "cic:/matita/arithmetics/nat/decidable_le.con"
30 %
31 "cic:/matita/arithmetics/nat/monotonic_le_plus_l.con"
32 "cic:/matita/arithmetics/nat/monotonic_le_plus_r.con"
33 "cic:/matita/arithmetics/nat/le_plus_n_r.con"
34 "cic:/matita/arithmetics/nat/le_plus_n.con"
35 "cic:/matita/arithmetics/nat/le_plus_b.con"
36 "cic:/matita/arithmetics/nat/le_plus_a.con"
37 "cic:/matita/arithmetics/nat/le_plus.con"
38 "cic:/matita/arithmetics/nat/plus_le_0.con"
39 "cic:/matita/arithmetics/nat/le_plus_to_le_r.con"
40 "cic:/matita/arithmetics/nat/le_plus_to_le.con"
41 #
42 "cic:/matita/arithmetics/nat/lt.con"
43 "cic:/matita/arithmetics/nat/lt_O_S.con"
44 "cic:/matita/arithmetics/nat/le_to_or_lt_eq.con"
45 "cic:/matita/arithmetics/nat/eq_or_gt.con"
46 "cic:/matita/arithmetics/nat/lt_or_ge.con"
47 "cic:/matita/arithmetics/nat/not_le_to_lt.con"
48 "cic:/matita/arithmetics/nat/lt_to_le_to_lt.con"
49 "cic:/matita/arithmetics/nat/le_to_lt_to_lt.con"
50 "cic:/matita/arithmetics/nat/lt_to_not_le.con"
51 "cic:/matita/arithmetics/nat/lt_to_not_eq.con"
52 "cic:/matita/arithmetics/nat/lt_to_le.con"
53 "cic:/matita/arithmetics/nat/ltn_to_ltO.con"
54 "cic:/matita/arithmetics/nat/transitive_lt.con"
55 "cic:/matita/arithmetics/nat/nat_elim1.con"
56 "cic:/matita/arithmetics/nat/f_ind.con"
57 "cic:/matita/arithmetics/nat/f2_ind.con"
58 "cic:/matita/arithmetics/nat/f3_ind.con"
59
60 ####################################
61
62 "cic:/matita/arithmetics/nat/lt_plus_Sn_r.con"
63 "cic:/matita/arithmetics/nat/lt_plus_to_lt_l.con"
64 "cic:/matita/arithmetics/nat/monotonic_lt_plus_l.con"
65 "cic:/matita/arithmetics/nat/monotonic_lt_plus_r.con"
66
67 "cic:/matita/arithmetics/nat/le_pred_n.con"
68 "cic:/matita/arithmetics/nat/pred.con"
69 "cic:/matita/arithmetics/nat/pred_Sn.con"
70 "cic:/matita/arithmetics/nat/S_pred.con"
71 "cic:/matita/arithmetics/nat/monotonic_pred.con"
72
73 "cic:/matita/arithmetics/nat/discr_minus_x_xy.con"
74 "cic:/matita/arithmetics/nat/discr_plus_xy_minus_xz.con"
75 "cic:/matita/arithmetics/nat/eq_minus_O.con"
76 "cic:/matita/arithmetics/nat/eq_minus_S_pred.con"
77 "cic:/matita/arithmetics/nat/inv_eq_minus_O.con"
78 "cic:/matita/arithmetics/nat/le_minus_to_plus.con"
79 "cic:/matita/arithmetics/nat/le_minus_to_plus_r.con"
80 "cic:/matita/arithmetics/nat/le_plus_minus_m_m.con"
81 "cic:/matita/arithmetics/nat/le_plus_to_minus.con"
82 "cic:/matita/arithmetics/nat/le_plus_to_minus_r.con"
83 "cic:/matita/arithmetics/nat/lt_minus_to_plus.con"
84 "cic:/matita/arithmetics/nat/lt_minus_to_plus_r.con"
85 "cic:/matita/arithmetics/nat/lt_plus_to_minus.con"
86 "cic:/matita/arithmetics/nat/lt_plus_to_minus_r.con"
87 "cic:/matita/arithmetics/nat/minus.con"
88 "cic:/matita/arithmetics/nat/minus_le.con"
89 "cic:/matita/arithmetics/nat/minus_le_minus_minus_comm.con"
90 "cic:/matita/arithmetics/nat/minus_minus_associative.con"
91 "cic:/matita/arithmetics/nat/minus_minus_comm.con"
92 "cic:/matita/arithmetics/nat/minus_minus.con"
93 "cic:/matita/arithmetics/nat/minus_minus_m_m.con"
94 "cic:/matita/arithmetics/nat/minus_n_n.con"
95 "cic:/matita/arithmetics/nat/minus_n_O.con"
96 "cic:/matita/arithmetics/nat/minus_O_n.con"
97 "cic:/matita/arithmetics/nat/minus_plus.con"
98 "cic:/matita/arithmetics/nat/minus_plus_m_m.con"
99 "cic:/matita/arithmetics/nat/minus_plus_plus_l.con"
100 "cic:/matita/arithmetics/nat/minus_pred_pred.con"
101 "cic:/matita/arithmetics/nat/minus_Sn_m.con"
102 "cic:/matita/arithmetics/nat/minus_Sn_n.con"
103 "cic:/matita/arithmetics/nat/minus_S_S.con"
104 "cic:/matita/arithmetics/nat/monotonic_le_minus_l.con"
105 "cic:/matita/arithmetics/nat/monotonic_le_minus_r.con"
106 "cic:/matita/arithmetics/nat/monotonic_lt_minus_l.con"
107 "cic:/matita/arithmetics/nat/plus_minus_associative.con"
108 "cic:/matita/arithmetics/nat/plus_minus.con"
109 "cic:/matita/arithmetics/nat/plus_minus_m_m.con"
110 "cic:/matita/arithmetics/nat/plus_minus_plus_plus_l.con"
111 "cic:/matita/arithmetics/nat/plus_to_minus.con"
112 "cic:/matita/arithmetics/nat/le_inv_plus_l.con"
113 "cic:/matita/arithmetics/nat/lt_inv_plus_l.con"
114
115 "cic:/matita/arithmetics/nat/to_max.con"
116 "cic:/matita/arithmetics/nat/commutative_max.con"
117 "cic:/matita/arithmetics/nat/leb.con"
118 "cic:/matita/arithmetics/nat/leb_elim.con"
119 "cic:/matita/arithmetics/nat/le_maxl.con"
120 "cic:/matita/arithmetics/nat/le_maxr.con"
121 "cic:/matita/arithmetics/nat/le_to_leb_true.con"
122 "cic:/matita/arithmetics/nat/max.con"
123 "cic:/matita/arithmetics/nat/not_le_to_leb_false.con"
124
125 "cic:/matita/arithmetics/nat/nat_discr.con"
126 "cic:/matita/arithmetics/nat/times.con"
127 "cic:/matita/arithmetics/nat/times_n_1.con"
128 "cic:/matita/arithmetics/nat/times_Sn_m.con"