1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/reals/Q_dense".
23 include "reals/Q_in_CReals.ma".
25 (*#***** Opaque_algebra.v will be loaded in line 151 ******)
27 inline "cic:/CoRN/reals/Q_dense/or_not_and.con".
30 Section Interval_definition.
33 inline "cic:/CoRN/reals/Q_dense/OF.var".
35 inline "cic:/CoRN/reals/Q_dense/Interval.ind".
37 coercion "cic:/matita/CoRN-Decl/reals/Q_dense/pair_crr.con" 0 (* compounds *).
39 inline "cic:/CoRN/reals/Q_dense/Length.con".
42 End Interval_definition.
45 inline "cic:/CoRN/reals/Q_dense/Rat_Interval.con".
47 (* we have this in Q_COrdField... *)
49 inline "cic:/CoRN/reals/Q_dense/Qlt_eq_gt_dec'.con".
52 Lemma ex_informative_on_Q:(P:Q_as_COrdField->Prop)(Ex [q:Q_as_COrdField](P q))
53 ->{q:Q_as_COrdField | (P q)}.
63 Section COrdField_extra.
66 inline "cic:/CoRN/reals/Q_dense/OF.var".
68 inline "cic:/CoRN/reals/Q_dense/AbsSmall_pos_reflexive.con".
70 inline "cic:/CoRN/reals/Q_dense/AbsSmall_neg_reflexive.con".
72 inline "cic:/CoRN/reals/Q_dense/AbsSmall_subinterval.con".
79 Section Rational_sequence.
82 include "tactics/Opaque_algebra.ma".
84 (*#*** WARNING: A file is being loaded *****)
86 inline "cic:/CoRN/reals/Q_dense/R1.var".
88 inline "cic:/CoRN/reals/Q_dense/start_l.con".
90 inline "cic:/CoRN/reals/Q_dense/start_of_sequence2.con".
92 inline "cic:/CoRN/reals/Q_dense/start_r.con".
94 inline "cic:/CoRN/reals/Q_dense/start_of_sequence_property.con".
96 inline "cic:/CoRN/reals/Q_dense/l_less_r.con".
98 inline "cic:/CoRN/reals/Q_dense/shrink23.con".
100 inline "cic:/CoRN/reals/Q_dense/shrink13.con".
102 inline "cic:/CoRN/reals/Q_dense/shrink24.con".
104 inline "cic:/CoRN/reals/Q_dense/cotrans_analyze.con".
106 inline "cic:/CoRN/reals/Q_dense/cotrans_analyze_strong.con".
108 inline "cic:/CoRN/reals/Q_dense/trichotomy.con".
110 inline "cic:/CoRN/reals/Q_dense/trichotomy_strong1.con".
112 inline "cic:/CoRN/reals/Q_dense/if_cotrans.con".
114 inline "cic:/CoRN/reals/Q_dense/if_cotrans_strong.con".
116 inline "cic:/CoRN/reals/Q_dense/Intrvl.con".
118 inline "cic:/CoRN/reals/Q_dense/G.con".
124 inline "cic:/CoRN/reals/Q_dense/delta_Intrvl.con".
126 inline "cic:/CoRN/reals/Q_dense/Length_Intrvl.con".
128 inline "cic:/CoRN/reals/Q_dense/Intrvl_inside_l_n.con".
130 inline "cic:/CoRN/reals/Q_dense/Intrvl_inside_r_n.con".
132 inline "cic:/CoRN/reals/Q_dense/G_m_n_lower.con".
134 inline "cic:/CoRN/reals/Q_dense/G_m_n_upper.con".
137 Opaque Q_as_COrdField.
140 inline "cic:/CoRN/reals/Q_dense/a_simple_inequality.con".
142 inline "cic:/CoRN/reals/Q_dense/G_conversion_rate2.con".
144 inline "cic:/CoRN/reals/Q_dense/CS_seq_G.con".
146 inline "cic:/CoRN/reals/Q_dense/G_as_CauchySeq.con".
148 inline "cic:/CoRN/reals/Q_dense/CS_seq_inj_Q_G.con".
150 inline "cic:/CoRN/reals/Q_dense/inj_Q_G_as_CauchySeq.con".
152 inline "cic:/CoRN/reals/Q_dense/x_in_Intrvl_l.con".
154 inline "cic:/CoRN/reals/Q_dense/x_in_Intrvl_r.con".
156 inline "cic:/CoRN/reals/Q_dense/G_conversion_rate_resp_x.con".
158 inline "cic:/CoRN/reals/Q_dense/x_is_SeqLimit_G.con".
161 End Rational_sequence.