X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FExpon.ma;h=e8a28b3015e2e80eb5aa598007225087669f71bc;hb=62596f4e0a109e43c9df5da20571827c8b905ce4;hp=2b1085a7cb867318a6bd6473693f522c2517f409;hpb=0e0d5c57eb154bf20d101f09e560401434156c1d;p=helm.git diff --git a/matita/contribs/CoRN-Decl/algebra/Expon.ma b/matita/contribs/CoRN-Decl/algebra/Expon.ma index 2b1085a7c..e8a28b301 100644 --- a/matita/contribs/CoRN-Decl/algebra/Expon.ma +++ b/matita/contribs/CoRN-Decl/algebra/Expon.ma @@ -16,21 +16,15 @@ set "baseuri" "cic:/matita/CoRN-Decl/algebra/Expon". +include "CoRN.ma". + (* $Id: Expon.v,v 1.5 2004/04/23 10:00:54 lcf Exp $ *) (*#* printing [^^] %\ensuremath{\hat{\ }}% #^# *) -(* INCLUDE -Arith -*) +include "algebra/COrdCauchy.ma". -(* INCLUDE -COrdCauchy -*) - -(* INCLUDE -Transparent_algebra -*) +include "tactics/Transparent_algebra.ma". (*#* *Exponentiation **More properties about [nexp] @@ -39,53 +33,53 @@ Transparent_algebra *) (* UNEXPORTED -Section More_Nexp. +Section More_Nexp *) -inline cic:/CoRN/algebra/Expon/R.var. +inline "cic:/CoRN/algebra/Expon/More_Nexp/R.var" "More_Nexp__". -inline cic:/CoRN/algebra/Expon/nexp_resp_ap_zero.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_ap_zero.con". (* UNEXPORTED Hint Resolve nexp_resp_ap_zero: algebra. *) -inline cic:/CoRN/algebra/Expon/nexp_distr_div.con. +inline "cic:/CoRN/algebra/Expon/nexp_distr_div.con". -inline cic:/CoRN/algebra/Expon/nexp_distr_div'.con. +inline "cic:/CoRN/algebra/Expon/nexp_distr_div'.con". -inline cic:/CoRN/algebra/Expon/small_nexp_resp_lt.con. +inline "cic:/CoRN/algebra/Expon/small_nexp_resp_lt.con". -inline cic:/CoRN/algebra/Expon/great_nexp_resp_lt.con. +inline "cic:/CoRN/algebra/Expon/great_nexp_resp_lt.con". -inline cic:/CoRN/algebra/Expon/small_nexp_resp_le.con. +inline "cic:/CoRN/algebra/Expon/small_nexp_resp_le.con". -inline cic:/CoRN/algebra/Expon/great_nexp_resp_le.con. +inline "cic:/CoRN/algebra/Expon/great_nexp_resp_le.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_leEq.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_one.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_one.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_even.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_even.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_odd.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_odd.con". -inline cic:/CoRN/algebra/Expon/nexp_distr_recip.con. +inline "cic:/CoRN/algebra/Expon/nexp_distr_recip.con". (* UNEXPORTED Hint Resolve nexp_distr_recip: algebra. *) -inline cic:/CoRN/algebra/Expon/nexp_even_nonneg.con. +inline "cic:/CoRN/algebra/Expon/nexp_even_nonneg.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_le'.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_le'.con". -inline cic:/CoRN/algebra/Expon/nexp_resp_le.con. +inline "cic:/CoRN/algebra/Expon/nexp_resp_le.con". -inline cic:/CoRN/algebra/Expon/bin_less_un.con. +inline "cic:/CoRN/algebra/Expon/bin_less_un.con". (* UNEXPORTED -End More_Nexp. +End More_Nexp *) (* UNEXPORTED @@ -102,165 +96,169 @@ Implicit Arguments nexp_resp_ap_zero [R x]. *) (* UNEXPORTED -Section Zexp_def. +Section Zexp_def *) -inline cic:/CoRN/algebra/Expon/R.var. +inline "cic:/CoRN/algebra/Expon/Zexp_def/R.var" "Zexp_def__". (*#* It would be nicer to define [zexp] using [caseZdiff], but we already have most properties now. *) -inline cic:/CoRN/algebra/Expon/zexp.con. +inline "cic:/CoRN/algebra/Expon/zexp.con". (* UNEXPORTED -End Zexp_def. +End Zexp_def *) (* UNEXPORTED Implicit Arguments zexp [R]. *) +(* NOTATION +Notation "( x [//] Hx ) [^^] n" := (zexp x Hx n) (at level 0). +*) + (*#* **Properties of [zexp] %\begin{convention}% Let [R] be an ordered field. %\end{convention}% *) (* UNEXPORTED -Section Zexp_properties. +Section Zexp_properties *) -inline cic:/CoRN/algebra/Expon/R.var. +inline "cic:/CoRN/algebra/Expon/Zexp_properties/R.var" "Zexp_properties__". -inline cic:/CoRN/algebra/Expon/zexp_zero.con. +inline "cic:/CoRN/algebra/Expon/zexp_zero.con". (* UNEXPORTED Hint Resolve zexp_zero: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_nexp.con. +inline "cic:/CoRN/algebra/Expon/zexp_nexp.con". (* UNEXPORTED Hint Resolve zexp_nexp: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_inv_nexp.con. +inline "cic:/CoRN/algebra/Expon/zexp_inv_nexp.con". (* UNEXPORTED Hint Resolve zexp_inv_nexp: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_inv_nexp'.con. +inline "cic:/CoRN/algebra/Expon/zexp_inv_nexp'.con". (* UNEXPORTED Hint Resolve zexp_inv_nexp': algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_strext.con. +inline "cic:/CoRN/algebra/Expon/zexp_strext.con". -inline cic:/CoRN/algebra/Expon/zexp_wd.con. +inline "cic:/CoRN/algebra/Expon/zexp_wd.con". (* UNEXPORTED Hint Resolve zexp_wd: algebra_c. *) -inline cic:/CoRN/algebra/Expon/zexp_plus1.con. +inline "cic:/CoRN/algebra/Expon/zexp_plus1.con". (* UNEXPORTED Hint Resolve zexp_plus1: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_resp_ap_zero.con. +inline "cic:/CoRN/algebra/Expon/zexp_resp_ap_zero.con". (* UNEXPORTED Hint Resolve zexp_resp_ap_zero: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_inv.con. +inline "cic:/CoRN/algebra/Expon/zexp_inv.con". (* UNEXPORTED Hint Resolve zexp_inv: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_inv1.con. +inline "cic:/CoRN/algebra/Expon/zexp_inv1.con". (* UNEXPORTED Hint Resolve zexp_inv1: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_plus.con. +inline "cic:/CoRN/algebra/Expon/zexp_plus.con". (* UNEXPORTED Hint Resolve zexp_plus: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_minus.con. +inline "cic:/CoRN/algebra/Expon/zexp_minus.con". (* UNEXPORTED Hint Resolve zexp_minus: algebra. *) -inline cic:/CoRN/algebra/Expon/one_zexp.con. +inline "cic:/CoRN/algebra/Expon/one_zexp.con". (* UNEXPORTED Hint Resolve one_zexp: algebra. *) -inline cic:/CoRN/algebra/Expon/mult_zexp.con. +inline "cic:/CoRN/algebra/Expon/mult_zexp.con". (* UNEXPORTED Hint Resolve mult_zexp: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_mult.con. +inline "cic:/CoRN/algebra/Expon/zexp_mult.con". (* UNEXPORTED Hint Resolve zexp_mult: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_two.con. +inline "cic:/CoRN/algebra/Expon/zexp_two.con". (* UNEXPORTED Hint Resolve zexp_two: algebra. *) -inline cic:/CoRN/algebra/Expon/inv_zexp_even.con. +inline "cic:/CoRN/algebra/Expon/inv_zexp_even.con". (* UNEXPORTED Hint Resolve inv_zexp_even: algebra. *) -inline cic:/CoRN/algebra/Expon/inv_zexp_two.con. +inline "cic:/CoRN/algebra/Expon/inv_zexp_two.con". (* UNEXPORTED Hint Resolve inv_zexp_two: algebra. *) -inline cic:/CoRN/algebra/Expon/inv_zexp_odd.con. +inline "cic:/CoRN/algebra/Expon/inv_zexp_odd.con". -inline cic:/CoRN/algebra/Expon/zexp_one.con. +inline "cic:/CoRN/algebra/Expon/zexp_one.con". (* UNEXPORTED Hint Resolve zexp_one: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_funny.con. +inline "cic:/CoRN/algebra/Expon/zexp_funny.con". (* UNEXPORTED Hint Resolve zexp_funny: algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_funny'.con. +inline "cic:/CoRN/algebra/Expon/zexp_funny'.con". (* UNEXPORTED Hint Resolve zexp_funny': algebra. *) -inline cic:/CoRN/algebra/Expon/zexp_pos.con. +inline "cic:/CoRN/algebra/Expon/zexp_pos.con". (* UNEXPORTED -End Zexp_properties. +End Zexp_properties *) (* UNEXPORTED @@ -275,16 +273,16 @@ Hint Resolve zexp_wd: algebra_c. *) (* UNEXPORTED -Section Root_Unique. +Section Root_Unique *) -inline cic:/CoRN/algebra/Expon/R.var. +inline "cic:/CoRN/algebra/Expon/Root_Unique/R.var" "Root_Unique__". -inline cic:/CoRN/algebra/Expon/root_unique.con. +inline "cic:/CoRN/algebra/Expon/root_unique.con". -inline cic:/CoRN/algebra/Expon/root_one.con. +inline "cic:/CoRN/algebra/Expon/root_one.con". (* UNEXPORTED -End Root_Unique. +End Root_Unique *)