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
-CComplex
-*)
+include "complex/CComplex.ma".
(*#* * Absolute value on [CC]
** Properties of [AbsCC] *)
(* UNEXPORTED
-Section AbsCC_properties.
+Section AbsCC_properties
*)
-inline cic:/CoRN/complex/AbsCC/AbsCC_nonneg.con.
+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_ap_zero_imp_pos.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_wd.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.
+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_minus_abs.con".
-inline cic:/CoRN/complex/AbsCC/cc_mult_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_minzero.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_IR.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/cc_div_abs'.con.
+inline "cic:/CoRN/complex/AbsCC/cc_div_abs'.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_zero.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/AbsCC_one.con".
-inline cic:/CoRN/complex/AbsCC/cc_pow_abs.con.
+inline "cic:/CoRN/complex/AbsCC/cc_pow_abs.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_pos.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_pos.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_ap_zero.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_small_imp_eq.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_small_imp_eq.con".
(* begin hide *)
-inline cic:/CoRN/complex/AbsCC/l_1_1_2.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_1_2.con" "AbsCC_properties__".
(* end hide *)
Hint Resolve l_1_1_2: algebra.
*)
-inline cic:/CoRN/complex/AbsCC/AbsCC_square_Re_Im.con.
+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/l_1_2_3_CC.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_2_3_CC.con" "AbsCC_properties__".
(* end hide *)
Hint Resolve l_1_2_3_CC: algebra.
*)
-inline cic:/CoRN/complex/AbsCC/AbsCC_mult_conj.con.
+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.
+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_mult_square.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_square_ap_zero.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/cc_recip_char.con".
-inline cic:/CoRN/complex/AbsCC/AbsCC_strext.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_strext.con".
-inline cic:/CoRN/complex/AbsCC/AbsSmallCC.con.
+inline "cic:/CoRN/complex/AbsCC/AbsSmallCC.con".
-inline cic:/CoRN/complex/AbsCC/Cexis_AFS_CC.con.
+inline "cic:/CoRN/complex/AbsCC/Cexis_AFS_CC.con".
(* The following lemmas are just auxiliary results *)
(* begin hide *)
-inline cic:/CoRN/complex/AbsCC/l_4_1_2.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_1_2.con" "AbsCC_properties__".
-inline cic:/CoRN/complex/AbsCC/l_4_2_3.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_2_3.con" "AbsCC_properties__".
-inline cic:/CoRN/complex/AbsCC/l_4_3_4.con.
+inline "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_3_4.con" "AbsCC_properties__".
(* end hide *)
(* UNEXPORTED
-End AbsCC_properties.
+End AbsCC_properties
*)
(* UNEXPORTED
(*#* ** The triangle inequality *)
-inline cic:/CoRN/complex/AbsCC/triangle.con.
+inline "cic:/CoRN/complex/AbsCC/triangle.con".
-inline cic:/CoRN/complex/AbsCC/triangle_Sum.con.
+inline "cic:/CoRN/complex/AbsCC/triangle_Sum.con".