X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCOrdAbs.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCOrdAbs.ma;h=5f34816898042f39655b08971195bf891f78eed4;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hp=0000000000000000000000000000000000000000;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1;p=helm.git diff --git a/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma b/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma new file mode 100644 index 000000000..5f3481689 --- /dev/null +++ b/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma @@ -0,0 +1,160 @@ +(**************************************************************************) +(* ___ *) +(* ||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/algebra/COrdAbs". + +include "CoRN.ma". + +include "algebra/COrdFields2.ma". + +(*#* +** Properties of [AbsSmall] +*) + +(* Begin_SpecReals *) + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall.con". + +(* UNEXPORTED +Implicit Arguments AbsSmall [R]. +*) + +(* End_SpecReals *) + +(* UNEXPORTED +Section AbsSmall_properties +*) + +(*#* +%\begin{convention}% Let [R] be an ordered field. +%\end{convention}% +*) + +alias id "R" = "cic:/CoRN/algebra/COrdAbs/AbsSmall_properties/R.var". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr_unfolded.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl_unfolded.con". + +(* UNEXPORTED +Declare Left Step AbsSmall_wdl_unfolded. +*) + +(* UNEXPORTED +Declare Right Step AbsSmall_wdr_unfolded. +*) + +(* begin hide *) + +(* NOTATION +Notation ZeroR := (Zero:R). +*) + +(* end hide *) + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_leEq_trans.con". + +inline "cic:/CoRN/algebra/COrdAbs/zero_AbsSmall.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_trans.con". + +inline "cic:/CoRN/algebra/COrdAbs/leEq_imp_AbsSmall.con". + +inline "cic:/CoRN/algebra/COrdAbs/inv_resp_AbsSmall.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_minus.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_plus.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div_two.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_delta.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_delta.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_eps_div2.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_eps_div2.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_intermediate.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div2.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_nonneg.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_mult.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_cancel_mult.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_approach_zero.con". + +(* UNEXPORTED +End AbsSmall_properties +*) + +(* UNEXPORTED +Declare Left Step AbsSmall_wdl_unfolded. +*) + +(* UNEXPORTED +Declare Right Step AbsSmall_wdr_unfolded. +*) + +(*#* ** Properties of [AbsBig] *) + +inline "cic:/CoRN/algebra/COrdAbs/absBig.con". + +(* NOTATION +Notation AbsBig := (absBig _). +*) + +inline "cic:/CoRN/algebra/COrdAbs/AbsBigSmall_minus.con". + +(* UNEXPORTED +Section absBig_wd_properties +*) + +(*#* +%\begin{convention}% Let [R] be an ordered field. +%\end{convention}% +*) + +alias id "R" = "cic:/CoRN/algebra/COrdAbs/absBig_wd_properties/R.var". + +inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr_unfolded.con". + +inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl_unfolded.con". + +(* UNEXPORTED +End absBig_wd_properties +*) + +(* UNEXPORTED +Declare Left Step AbsBig_wdl_unfolded. +*) + +(* UNEXPORTED +Declare Right Step AbsBig_wdr_unfolded. +*) +