X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Procedural%2Freals%2FBridges_LUB.mma;h=70a82cab62719cad0bddf56cab73073f98dbadce;hb=a89360d64f1fcbba917ad743b97a2d973ecf6db2;hp=8d4a78b64243d9713ee04c52c982500348d53b17;hpb=3e1e59644a24ed855a7f21bf9eab76f96577fd17;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Procedural/reals/Bridges_LUB.mma b/helm/software/matita/contribs/CoRN-Procedural/reals/Bridges_LUB.mma index 8d4a78b64..70a82cab6 100644 --- a/helm/software/matita/contribs/CoRN-Procedural/reals/Bridges_LUB.mma +++ b/helm/software/matita/contribs/CoRN-Procedural/reals/Bridges_LUB.mma @@ -52,29 +52,29 @@ alias id "OF" = "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/OF.var". alias id "SS" = "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/SS.var". -inline procedural "cic:/CoRN/reals/Bridges_LUB/member.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/member.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/Pmember.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/Pmember.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/l_u_b.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/l_u_b.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/supremum.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/supremum.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/Psupremum.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/Psupremum.con" as definition. (* the following definitions are not used in *) (* this file but later we will need them *) -inline procedural "cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/g_l_b.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/g_l_b.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/infimum.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/infimum.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/Pinfimum.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/Pinfimum.con" as definition. (* UNEXPORTED End lub_definitions @@ -94,117 +94,117 @@ alias id "bounded_above" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequenc alias id "located" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/located.var". -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Ps.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Ps.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/b0.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/b0.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Pb0.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Pb0.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_l.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_l.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_r.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_r.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink23d.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink23d.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink13d.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink13d.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink24d.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink24d.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/Real_Interval.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/Real_Interval.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con" as lemma. (* NOTATION Notation "( p , q )" := (pairT p q). *) -inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/U.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/U.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/V.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/V.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/W.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/W.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/V_increase.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/V_increase.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/W_decrease.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/W_decrease.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con" as lemma. (* These lemma are *very* similar to those in *) (* Cauchy_rationals_approach_reals.v *) -inline procedural "cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/B.con" "LUBP__upper_bound_sequence__". +inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/B.con" "LUBP__upper_bound_sequence__" as definition. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_V.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_V.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_W.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_W.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_V_upper.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_V_upper.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/U_W_lower.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/U_W_lower.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con" as lemma. (* Two properties of exponentiation in COrdFields *) -inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con" as lemma. (* A consequence of Archimedean property - *) (* the every basis of definition of e=lim(1+1/n)^n *) -inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_V.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_V.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_W.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_W.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con" as lemma. -inline procedural "cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con". +inline procedural "cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con" as theorem. (* UNEXPORTED End upper_bound_sequence