X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fcomplex%2FAbsCC.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fcomplex%2FAbsCC.ma;h=0182da47febd89676fba67af5b2274700bf4e4dd;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/complex/AbsCC.ma b/matita/contribs/CoRN-Decl/complex/AbsCC.ma new file mode 100644 index 000000000..0182da47f --- /dev/null +++ b/matita/contribs/CoRN-Decl/complex/AbsCC.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/complex/AbsCC". + +include "CoRN.ma". + +(* $Id: AbsCC.v,v 1.2 2004/04/23 10:00:54 lcf Exp $ *) + +include "complex/CComplex.ma". + +(*#* * Absolute value on [CC] +** Properties of [AbsCC] *) + +(* UNEXPORTED +Section AbsCC_properties +*) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_nonneg.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero_imp_pos.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_wd.con". + +(* UNEXPORTED +Hint Resolve AbsCC_wd: algebra_c. +*) + +inline "cic:/CoRN/complex/AbsCC/cc_inv_abs.con". + +(* UNEXPORTED +Hint Resolve cc_inv_abs: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/cc_minus_abs.con". + +inline "cic:/CoRN/complex/AbsCC/cc_mult_abs.con". + +(* UNEXPORTED +Hint Resolve cc_mult_abs: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_minzero.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_IR.con". + +(* UNEXPORTED +Hint Resolve AbsCC_IR: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/cc_div_abs.con". + +inline "cic:/CoRN/complex/AbsCC/cc_div_abs'.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_zero.con". + +(* UNEXPORTED +Hint Resolve AbsCC_zero: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_one.con". + +inline "cic:/CoRN/complex/AbsCC/cc_pow_abs.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_pos.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_small_imp_eq.con". + +(* begin hide *) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_1_2.con" "AbsCC_properties__". + +(* end hide *) + +(* UNEXPORTED +Hint Resolve l_1_1_2: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_square_Re_Im.con". + +(* UNEXPORTED +Hint Resolve AbsCC_square_Re_Im: algebra. +*) + +(* begin hide *) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_2_3_CC.con" "AbsCC_properties__". + +(* end hide *) + +(* UNEXPORTED +Hint Resolve l_1_2_3_CC: algebra. +*) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_mult_conj.con". + +(* UNEXPORTED +Hint Resolve CC_conj_mult: algebra. +*) + +(* begin hide *) + +inline "cic:/CoRN/complex/AbsCC/l_2_1_2.con". + +(* UNEXPORTED +Hint Resolve l_2_1_2: algebra. +*) + +(* end hide *) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_mult_square.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_square_ap_zero.con". + +inline "cic:/CoRN/complex/AbsCC/cc_recip_char.con". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_strext.con". + +inline "cic:/CoRN/complex/AbsCC/AbsSmallCC.con". + +inline "cic:/CoRN/complex/AbsCC/Cexis_AFS_CC.con". + +(* The following lemmas are just auxiliary results *) + +(* begin hide *) + +inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_1_2.con" "AbsCC_properties__". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_2_3.con" "AbsCC_properties__". + +inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_3_4.con" "AbsCC_properties__". + +(* end hide *) + +(* UNEXPORTED +End AbsCC_properties +*) + +(* UNEXPORTED +Hint Resolve AbsCC_wd: algebra_c. +*) + +(* UNEXPORTED +Hint Resolve cc_inv_abs cc_mult_abs cc_div_abs cc_div_abs' cc_pow_abs + AbsCC_zero AbsCC_one AbsCC_IR AbsCC_mult_conj AbsCC_mult_square + cc_recip_char: algebra. +*) + +(*#* ** The triangle inequality *) + +inline "cic:/CoRN/complex/AbsCC/triangle.con". + +inline "cic:/CoRN/complex/AbsCC/triangle_Sum.con". +