X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Ffta%2FFTAreg.ma;h=c4522f456059270bacc6b9bc460cc5e902e383f6;hb=11a6c88f3e717b019be2eae71711c70473b5467a;hp=fed20062f61baad9de44701101c9695ca9d4debf;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma b/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma index fed20062f..c4522f456 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma @@ -16,19 +16,15 @@ set "baseuri" "cic:/matita/CoRN-Decl/fta/FTAreg". +include "CoRN.ma". + (* $Id: FTAreg.v,v 1.4 2004/04/23 10:00:57 lcf Exp $ *) -(* INCLUDE -KneserLemma -*) +include "fta/KneserLemma.ma". -(* INCLUDE -CPoly_Shift -*) +include "fta/CPoly_Shift.ma". -(* INCLUDE -CPoly_Contin1 -*) +include "fta/CPoly_Contin1.ma". (*#* * FTA for regular polynomials ** The Kneser sequence @@ -37,12 +33,12 @@ CPoly_Contin1 *) (* UNEXPORTED -Section Seq_Exists. +Section Seq_Exists *) -inline cic:/CoRN/fta/FTAreg/n.var. +alias id "n" = "cic:/CoRN/fta/FTAreg/Seq_Exists/n.var". -inline cic:/CoRN/fta/FTAreg/lt0n.var. +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/Seq_Exists/lt0n.var". (*#* %\begin{convention}% Let [qK] be a real between 0 and 1, with @@ -56,119 +52,123 @@ Let [p] be a monic polynomial over the complex numbers with degree *) (* UNEXPORTED -Section Kneser_Sequence. +Section Kneser_Sequence *) -inline cic:/CoRN/fta/FTAreg/qK.var. +alias id "qK" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qK.var". + +alias id "zltq" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/zltq.var". + +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qlt1.var". -inline cic:/CoRN/fta/FTAreg/zltq.var. +alias id "q_prop" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/q_prop.var". -inline cic:/CoRN/fta/FTAreg/qlt1.var. +alias id "p" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p.var". -inline cic:/CoRN/fta/FTAreg/q_prop.var. +alias id "mp" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/mp.var". -inline cic:/CoRN/fta/FTAreg/p.var. +alias id "c0" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/c0.var". -inline cic:/CoRN/fta/FTAreg/mp.var. +alias id "p0ltc0" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p0ltc0.var". -inline cic:/CoRN/fta/FTAreg/c0.var. +inline "cic:/CoRN/fta/FTAreg/Knes_tup.ind". -inline cic:/CoRN/fta/FTAreg/p0ltc0.var. +coercion cic:/matita/CoRN-Decl/fta/FTAreg/z_el.con 0 (* compounds *). -inline cic:/CoRN/fta/FTAreg/Knes_tup.ind. +inline "cic:/CoRN/fta/FTAreg/Knes_tupp.ind". -inline cic:/CoRN/fta/FTAreg/Knes_tupp.ind. +coercion cic:/matita/CoRN-Decl/fta/FTAreg/Kntup.con 0 (* compounds *). -inline cic:/CoRN/fta/FTAreg/Knes_fun.con. +inline "cic:/CoRN/fta/FTAreg/Knes_fun.con". -inline cic:/CoRN/fta/FTAreg/Knes_fun_it.con. +inline "cic:/CoRN/fta/FTAreg/Knes_fun_it.con". -inline cic:/CoRN/fta/FTAreg/sK.con. +inline "cic:/CoRN/fta/FTAreg/sK.con". -inline cic:/CoRN/fta/FTAreg/sK_c.con. +inline "cic:/CoRN/fta/FTAreg/sK_c.con". -inline cic:/CoRN/fta/FTAreg/sK_c0.con. +inline "cic:/CoRN/fta/FTAreg/sK_c0.con". -inline cic:/CoRN/fta/FTAreg/sK_prop1.con. +inline "cic:/CoRN/fta/FTAreg/sK_prop1.con". -inline cic:/CoRN/fta/FTAreg/sK_it.con. +inline "cic:/CoRN/fta/FTAreg/sK_it.con". -inline cic:/CoRN/fta/FTAreg/sK_prop2.con. +inline "cic:/CoRN/fta/FTAreg/sK_prop2.con". (* UNEXPORTED -End Kneser_Sequence. +End Kneser_Sequence *) (* UNEXPORTED -Section Seq_Exists_Main. +Section Seq_Exists_Main *) (*#* **Main results *) -inline cic:/CoRN/fta/FTAreg/seq_exists.con. +inline "cic:/CoRN/fta/FTAreg/seq_exists.con". (* UNEXPORTED -End Seq_Exists_Main. +End Seq_Exists_Main *) (* UNEXPORTED -End Seq_Exists. +End Seq_Exists *) (* UNEXPORTED -Section N_Exists. +Section N_Exists *) -inline cic:/CoRN/fta/FTAreg/n.var. +alias id "n" = "cic:/CoRN/fta/FTAreg/N_Exists/n.var". -inline cic:/CoRN/fta/FTAreg/lt0n.var. +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/N_Exists/lt0n.var". -inline cic:/CoRN/fta/FTAreg/q.var. +alias id "q" = "cic:/CoRN/fta/FTAreg/N_Exists/q.var". -inline cic:/CoRN/fta/FTAreg/zleq.var. +alias id "zleq" = "cic:/CoRN/fta/FTAreg/N_Exists/zleq.var". -inline cic:/CoRN/fta/FTAreg/qlt1.var. +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/N_Exists/qlt1.var". -inline cic:/CoRN/fta/FTAreg/c.var. +alias id "c" = "cic:/CoRN/fta/FTAreg/N_Exists/c.var". -inline cic:/CoRN/fta/FTAreg/zltc.var. +alias id "zltc" = "cic:/CoRN/fta/FTAreg/N_Exists/zltc.var". (* begin hide *) -inline cic:/CoRN/fta/FTAreg/q_.con. +inline "cic:/CoRN/fta/FTAreg/N_Exists/q_.con" "N_Exists__". (* end hide *) -inline cic:/CoRN/fta/FTAreg/e.var. +alias id "e" = "cic:/CoRN/fta/FTAreg/N_Exists/e.var". -inline cic:/CoRN/fta/FTAreg/zlte.var. +alias id "zlte" = "cic:/CoRN/fta/FTAreg/N_Exists/zlte.var". -inline cic:/CoRN/fta/FTAreg/N_exists.con. +inline "cic:/CoRN/fta/FTAreg/N_exists.con". (* UNEXPORTED -End N_Exists. +End N_Exists *) (* UNEXPORTED -Section Seq_is_CC_CAuchy. +Section Seq_is_CC_CAuchy *) (*#* ** The Kneser sequence is Cauchy in [CC] *) -inline cic:/CoRN/fta/FTAreg/n.var. +alias id "n" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/n.var". -inline cic:/CoRN/fta/FTAreg/lt0n.var. +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/lt0n.var". -inline cic:/CoRN/fta/FTAreg/q.var. +alias id "q" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/q.var". -inline cic:/CoRN/fta/FTAreg/zleq.var. +alias id "zleq" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zleq.var". -inline cic:/CoRN/fta/FTAreg/qlt1.var. +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/qlt1.var". -inline cic:/CoRN/fta/FTAreg/c.var. +alias id "c" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/c.var". -inline cic:/CoRN/fta/FTAreg/zltc.var. +alias id "zltc" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zltc.var". (*#* %\begin{convention}% Let: - [q_] prove [q[-]One [#] Zero] @@ -181,39 +181,39 @@ inline cic:/CoRN/fta/FTAreg/zltc.var. (* begin hide *) -inline cic:/CoRN/fta/FTAreg/q_.con. +inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/q_.con" "Seq_is_CC_CAuchy__". -inline cic:/CoRN/fta/FTAreg/nrtq.con. +inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/nrtq.con" "Seq_is_CC_CAuchy__". -inline cic:/CoRN/fta/FTAreg/nrtc.con. +inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/nrtc.con" "Seq_is_CC_CAuchy__". -inline cic:/CoRN/fta/FTAreg/nrtqlt1.con. +inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/nrtqlt1.con" "Seq_is_CC_CAuchy__". -inline cic:/CoRN/fta/FTAreg/nrtq_.con. +inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/nrtq_.con" "Seq_is_CC_CAuchy__". (* end hide *) -inline cic:/CoRN/fta/FTAreg/zlt_nrtq.con. +inline "cic:/CoRN/fta/FTAreg/zlt_nrtq.con". -inline cic:/CoRN/fta/FTAreg/zlt_nrtc.con. +inline "cic:/CoRN/fta/FTAreg/zlt_nrtc.con". -inline cic:/CoRN/fta/FTAreg/nrt_pow.con. +inline "cic:/CoRN/fta/FTAreg/nrt_pow.con". -inline cic:/CoRN/fta/FTAreg/abs_pow_ltRe.con. +inline "cic:/CoRN/fta/FTAreg/abs_pow_ltRe.con". -inline cic:/CoRN/fta/FTAreg/abs_pow_ltIm.con. +inline "cic:/CoRN/fta/FTAreg/abs_pow_ltIm.con". -inline cic:/CoRN/fta/FTAreg/SublemmaRe.con. +inline "cic:/CoRN/fta/FTAreg/SublemmaRe.con". -inline cic:/CoRN/fta/FTAreg/SublemmaIm.con. +inline "cic:/CoRN/fta/FTAreg/SublemmaIm.con". -inline cic:/CoRN/fta/FTAreg/seq_is_CC_Cauchy.con. +inline "cic:/CoRN/fta/FTAreg/seq_is_CC_Cauchy.con". (* UNEXPORTED -End Seq_is_CC_CAuchy. +End Seq_is_CC_CAuchy *) -inline cic:/CoRN/fta/FTAreg/FTA_monic.con. +inline "cic:/CoRN/fta/FTAreg/FTA_monic.con". -inline cic:/CoRN/fta/FTAreg/FTA_reg.con. +inline "cic:/CoRN/fta/FTAreg/FTA_reg.con".