X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Freals%2FQ_dense.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Freals%2FQ_dense.ma;h=2b12a73bcfc42e6fb3a95b0b9e80d1ce6a21330d;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/reals/Q_dense.ma b/matita/contribs/CoRN-Decl/reals/Q_dense.ma new file mode 100644 index 000000000..2b12a73bc --- /dev/null +++ b/matita/contribs/CoRN-Decl/reals/Q_dense.ma @@ -0,0 +1,169 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +set "baseuri" "cic:/matita/CoRN-Decl/reals/Q_dense". + +include "CoRN.ma". + +(* begin hide *) + +include "reals/Q_in_CReals.ma". + +(*#***** Opaque_algebra.v will be loaded in line 151 ******) + +inline "cic:/CoRN/reals/Q_dense/or_not_and.con". + +(* UNEXPORTED +Section Interval_definition +*) + +alias id "OF" = "cic:/CoRN/reals/Q_dense/Interval_definition/OF.var". + +inline "cic:/CoRN/reals/Q_dense/Interval.ind". + +coercion cic:/matita/CoRN-Decl/reals/Q_dense/pair_crr.con 0 (* compounds *). + +inline "cic:/CoRN/reals/Q_dense/Length.con". + +(* UNEXPORTED +End Interval_definition +*) + +inline "cic:/CoRN/reals/Q_dense/Rat_Interval.con". + +(* we have this in Q_COrdField... *) + +inline "cic:/CoRN/reals/Q_dense/Qlt_eq_gt_dec'.con". + +(* +Lemma ex_informative_on_Q:(P:Q_as_COrdField->Prop)(Ex [q:Q_as_COrdField](P q)) + ->{q:Q_as_COrdField | (P q)}. +Proof. + Intro. + Intro. + Apply ex_informative. + Assumption. +Qed. +*) + +(* UNEXPORTED +Section COrdField_extra +*) + +alias id "OF" = "cic:/CoRN/reals/Q_dense/COrdField_extra/OF.var". + +inline "cic:/CoRN/reals/Q_dense/AbsSmall_pos_reflexive.con". + +inline "cic:/CoRN/reals/Q_dense/AbsSmall_neg_reflexive.con". + +inline "cic:/CoRN/reals/Q_dense/AbsSmall_subinterval.con". + +(* UNEXPORTED +End COrdField_extra +*) + +(* UNEXPORTED +Section Rational_sequence +*) + +include "tactics/Opaque_algebra.ma". + +(*#*** WARNING: A file is being loaded *****) + +alias id "R1" = "cic:/CoRN/reals/Q_dense/Rational_sequence/R1.var". + +inline "cic:/CoRN/reals/Q_dense/start_l.con". + +inline "cic:/CoRN/reals/Q_dense/start_of_sequence2.con". + +inline "cic:/CoRN/reals/Q_dense/start_r.con". + +inline "cic:/CoRN/reals/Q_dense/start_of_sequence_property.con". + +inline "cic:/CoRN/reals/Q_dense/l_less_r.con". + +inline "cic:/CoRN/reals/Q_dense/shrink23.con". + +inline "cic:/CoRN/reals/Q_dense/shrink13.con". + +inline "cic:/CoRN/reals/Q_dense/shrink24.con". + +inline "cic:/CoRN/reals/Q_dense/cotrans_analyze.con". + +inline "cic:/CoRN/reals/Q_dense/cotrans_analyze_strong.con". + +inline "cic:/CoRN/reals/Q_dense/trichotomy.con". + +inline "cic:/CoRN/reals/Q_dense/trichotomy_strong1.con". + +(* NOTATION +Notation "( A , B )" := (pairT A B). +*) + +inline "cic:/CoRN/reals/Q_dense/if_cotrans.con". + +inline "cic:/CoRN/reals/Q_dense/if_cotrans_strong.con". + +inline "cic:/CoRN/reals/Q_dense/Intrvl.con". + +inline "cic:/CoRN/reals/Q_dense/G.con". + +(* UNEXPORTED +Opaque Q_as_CField. +*) + +inline "cic:/CoRN/reals/Q_dense/delta_Intrvl.con". + +inline "cic:/CoRN/reals/Q_dense/Length_Intrvl.con". + +inline "cic:/CoRN/reals/Q_dense/Intrvl_inside_l_n.con". + +inline "cic:/CoRN/reals/Q_dense/Intrvl_inside_r_n.con". + +inline "cic:/CoRN/reals/Q_dense/G_m_n_lower.con". + +inline "cic:/CoRN/reals/Q_dense/G_m_n_upper.con". + +(* UNEXPORTED +Opaque Q_as_COrdField. +*) + +inline "cic:/CoRN/reals/Q_dense/a_simple_inequality.con". + +inline "cic:/CoRN/reals/Q_dense/G_conversion_rate2.con". + +inline "cic:/CoRN/reals/Q_dense/CS_seq_G.con". + +inline "cic:/CoRN/reals/Q_dense/G_as_CauchySeq.con". + +inline "cic:/CoRN/reals/Q_dense/CS_seq_inj_Q_G.con". + +inline "cic:/CoRN/reals/Q_dense/inj_Q_G_as_CauchySeq.con". + +inline "cic:/CoRN/reals/Q_dense/x_in_Intrvl_l.con". + +inline "cic:/CoRN/reals/Q_dense/x_in_Intrvl_r.con". + +inline "cic:/CoRN/reals/Q_dense/G_conversion_rate_resp_x.con". + +inline "cic:/CoRN/reals/Q_dense/x_is_SeqLimit_G.con". + +(* UNEXPORTED +End Rational_sequence +*) + +(* end hide *) +