arithmetics for λδ

[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / nat.txt

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/nat.txt b/matita/matita/contribs/lambdadelta/ground/arith/nat.txt
new file mode 100644 (file)
index 0000000..96c8c9c
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/arith/nat.txt
@@ -0,0 +1,128 @@
+"cic:/matita/arithmetics/nat/nat.ind"
+#
+"cic:/matita/arithmetics/nat/nat_ind.con"
+"cic:/matita/arithmetics/nat/nat_elim2.con"
+"cic:/matita/arithmetics/nat/injective_S.con"
+#
+"cic:/matita/arithmetics/nat/plus.con"
+"cic:/matita/arithmetics/nat/plus_n_O.con"
+"cic:/matita/arithmetics/nat/plus_n_Sm.con"
+"cic:/matita/arithmetics/nat/plus_O_n.con"
+"cic:/matita/arithmetics/nat/commutative_plus.con"
+"cic:/matita/arithmetics/nat/associative_plus.con"
+"cic:/matita/arithmetics/nat/plus_plus_comm_23.con"
+"cic:/matita/arithmetics/nat/assoc_plus1.con"
+"cic:/matita/arithmetics/nat/injective_plus_l.con"
+"cic:/matita/arithmetics/nat/injective_plus_r.con"
+"cic:/matita/arithmetics/nat/nat_ind_plus.con"
+#
+"cic:/matita/arithmetics/nat/le.ind"
+"cic:/matita/arithmetics/nat/le_ind.con"
+"cic:/matita/arithmetics/nat/le_n_Sn.con"
+"cic:/matita/arithmetics/nat/le_O_n.con"
+"cic:/matita/arithmetics/nat/le_S_S.con"
+"cic:/matita/arithmetics/nat/le_or_ge.con"
+"cic:/matita/arithmetics/nat/le_S_S_to_le.con"
+"cic:/matita/arithmetics/nat/le_n_O_to_eq.con"
+"cic:/matita/arithmetics/nat/le_to_le_to_eq.con"
+"cic:/matita/arithmetics/nat/transitive_le.con"
+"cic:/matita/arithmetics/nat/decidable_le.con"
+%
+"cic:/matita/arithmetics/nat/monotonic_le_plus_l.con"
+"cic:/matita/arithmetics/nat/monotonic_le_plus_r.con"
+"cic:/matita/arithmetics/nat/le_plus_n_r.con"
+"cic:/matita/arithmetics/nat/le_plus_n.con"
+"cic:/matita/arithmetics/nat/le_plus_b.con"
+"cic:/matita/arithmetics/nat/le_plus_a.con"
+"cic:/matita/arithmetics/nat/le_plus.con"
+"cic:/matita/arithmetics/nat/plus_le_0.con"
+"cic:/matita/arithmetics/nat/le_plus_to_le_r.con"
+"cic:/matita/arithmetics/nat/le_plus_to_le.con"
+#
+"cic:/matita/arithmetics/nat/lt.con"
+"cic:/matita/arithmetics/nat/lt_O_S.con"
+"cic:/matita/arithmetics/nat/le_to_or_lt_eq.con"
+"cic:/matita/arithmetics/nat/eq_or_gt.con"
+"cic:/matita/arithmetics/nat/lt_or_ge.con"
+"cic:/matita/arithmetics/nat/not_le_to_lt.con"
+"cic:/matita/arithmetics/nat/lt_to_le_to_lt.con"
+"cic:/matita/arithmetics/nat/le_to_lt_to_lt.con"
+"cic:/matita/arithmetics/nat/lt_to_not_le.con"
+"cic:/matita/arithmetics/nat/lt_to_not_eq.con"
+"cic:/matita/arithmetics/nat/lt_to_le.con"
+"cic:/matita/arithmetics/nat/ltn_to_ltO.con"
+"cic:/matita/arithmetics/nat/transitive_lt.con"
+"cic:/matita/arithmetics/nat/nat_elim1.con"
+"cic:/matita/arithmetics/nat/f_ind.con"
+"cic:/matita/arithmetics/nat/f2_ind.con"
+"cic:/matita/arithmetics/nat/f3_ind.con"
+
+####################################
+
+"cic:/matita/arithmetics/nat/lt_plus_Sn_r.con"
+"cic:/matita/arithmetics/nat/lt_plus_to_lt_l.con"
+"cic:/matita/arithmetics/nat/monotonic_lt_plus_l.con"
+"cic:/matita/arithmetics/nat/monotonic_lt_plus_r.con"
+
+"cic:/matita/arithmetics/nat/le_pred_n.con"
+"cic:/matita/arithmetics/nat/pred.con"
+"cic:/matita/arithmetics/nat/pred_Sn.con"
+"cic:/matita/arithmetics/nat/S_pred.con"
+"cic:/matita/arithmetics/nat/monotonic_pred.con"
+
+"cic:/matita/arithmetics/nat/discr_minus_x_xy.con"
+"cic:/matita/arithmetics/nat/discr_plus_xy_minus_xz.con"
+"cic:/matita/arithmetics/nat/eq_minus_O.con"
+"cic:/matita/arithmetics/nat/eq_minus_S_pred.con"
+"cic:/matita/arithmetics/nat/inv_eq_minus_O.con"
+"cic:/matita/arithmetics/nat/le_minus_to_plus.con"
+"cic:/matita/arithmetics/nat/le_minus_to_plus_r.con"
+"cic:/matita/arithmetics/nat/le_plus_minus_m_m.con"
+"cic:/matita/arithmetics/nat/le_plus_to_minus.con"
+"cic:/matita/arithmetics/nat/le_plus_to_minus_r.con"
+"cic:/matita/arithmetics/nat/lt_minus_to_plus.con"
+"cic:/matita/arithmetics/nat/lt_minus_to_plus_r.con"
+"cic:/matita/arithmetics/nat/lt_plus_to_minus.con"
+"cic:/matita/arithmetics/nat/lt_plus_to_minus_r.con"
+"cic:/matita/arithmetics/nat/minus.con"
+"cic:/matita/arithmetics/nat/minus_le.con"
+"cic:/matita/arithmetics/nat/minus_le_minus_minus_comm.con"
+"cic:/matita/arithmetics/nat/minus_minus_associative.con"
+"cic:/matita/arithmetics/nat/minus_minus_comm.con"
+"cic:/matita/arithmetics/nat/minus_minus.con"
+"cic:/matita/arithmetics/nat/minus_minus_m_m.con"
+"cic:/matita/arithmetics/nat/minus_n_n.con"
+"cic:/matita/arithmetics/nat/minus_n_O.con"
+"cic:/matita/arithmetics/nat/minus_O_n.con"
+"cic:/matita/arithmetics/nat/minus_plus.con"
+"cic:/matita/arithmetics/nat/minus_plus_m_m.con"
+"cic:/matita/arithmetics/nat/minus_plus_plus_l.con"
+"cic:/matita/arithmetics/nat/minus_pred_pred.con"
+"cic:/matita/arithmetics/nat/minus_Sn_m.con"
+"cic:/matita/arithmetics/nat/minus_Sn_n.con"
+"cic:/matita/arithmetics/nat/minus_S_S.con"
+"cic:/matita/arithmetics/nat/monotonic_le_minus_l.con"
+"cic:/matita/arithmetics/nat/monotonic_le_minus_r.con"
+"cic:/matita/arithmetics/nat/monotonic_lt_minus_l.con"
+"cic:/matita/arithmetics/nat/plus_minus_associative.con"
+"cic:/matita/arithmetics/nat/plus_minus.con"
+"cic:/matita/arithmetics/nat/plus_minus_m_m.con"
+"cic:/matita/arithmetics/nat/plus_minus_plus_plus_l.con"
+"cic:/matita/arithmetics/nat/plus_to_minus.con"
+"cic:/matita/arithmetics/nat/le_inv_plus_l.con"
+"cic:/matita/arithmetics/nat/lt_inv_plus_l.con"
+
+"cic:/matita/arithmetics/nat/to_max.con"
+"cic:/matita/arithmetics/nat/commutative_max.con"
+"cic:/matita/arithmetics/nat/leb.con"
+"cic:/matita/arithmetics/nat/leb_elim.con"
+"cic:/matita/arithmetics/nat/le_maxl.con"
+"cic:/matita/arithmetics/nat/le_maxr.con"
+"cic:/matita/arithmetics/nat/le_to_leb_true.con"
+"cic:/matita/arithmetics/nat/max.con"
+"cic:/matita/arithmetics/nat/not_le_to_leb_false.con"
+
+"cic:/matita/arithmetics/nat/nat_discr.con"
+"cic:/matita/arithmetics/nat/times.con"
+"cic:/matita/arithmetics/nat/times_n_1.con"
+"cic:/matita/arithmetics/nat/times_Sn_m.con"