Section AbsCC_properties
*)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_nonneg.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_nonneg.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero_imp_pos.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero_imp_pos.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_wd.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_wd.con" as lemma.
(* UNEXPORTED
Hint Resolve AbsCC_wd: algebra_c.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/cc_inv_abs.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_inv_abs.con" as lemma.
(* UNEXPORTED
Hint Resolve cc_inv_abs: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/cc_minus_abs.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_minus_abs.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/cc_mult_abs.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_mult_abs.con" as lemma.
(* UNEXPORTED
Hint Resolve cc_mult_abs: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_minzero.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_minzero.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_IR.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_IR.con" as lemma.
(* UNEXPORTED
Hint Resolve AbsCC_IR: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/cc_div_abs.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_div_abs.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/cc_div_abs'.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_div_abs'.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_zero.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_zero.con" as lemma.
(* UNEXPORTED
Hint Resolve AbsCC_zero: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_one.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_one.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/cc_pow_abs.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_pow_abs.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_pos.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_pos.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_ap_zero.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_small_imp_eq.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_small_imp_eq.con" as lemma.
(* begin hide *)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_1_2.con" "AbsCC_properties__".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_1_2.con" "AbsCC_properties__" as definition.
(* end hide *)
Hint Resolve l_1_1_2: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_square_Re_Im.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_square_Re_Im.con" as lemma.
(* UNEXPORTED
Hint Resolve AbsCC_square_Re_Im: algebra.
(* begin hide *)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_2_3_CC.con" "AbsCC_properties__".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_1_2_3_CC.con" "AbsCC_properties__" as definition.
(* end hide *)
Hint Resolve l_1_2_3_CC: algebra.
*)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_mult_conj.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_mult_conj.con" as lemma.
(* UNEXPORTED
Hint Resolve CC_conj_mult: algebra.
(* begin hide *)
-inline procedural "cic:/CoRN/complex/AbsCC/l_2_1_2.con".
+inline procedural "cic:/CoRN/complex/AbsCC/l_2_1_2.con" as lemma.
(* UNEXPORTED
Hint Resolve l_2_1_2: algebra.
(* end hide *)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_mult_square.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_mult_square.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_square_ap_zero.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_square_ap_zero.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/cc_recip_char.con".
+inline procedural "cic:/CoRN/complex/AbsCC/cc_recip_char.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_strext.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_strext.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsSmallCC.con".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsSmallCC.con" as definition.
-inline procedural "cic:/CoRN/complex/AbsCC/Cexis_AFS_CC.con".
+inline procedural "cic:/CoRN/complex/AbsCC/Cexis_AFS_CC.con" as lemma.
(* The following lemmas are just auxiliary results *)
(* begin hide *)
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_1_2.con" "AbsCC_properties__".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_1_2.con" "AbsCC_properties__" as definition.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_2_3.con" "AbsCC_properties__".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_2_3.con" "AbsCC_properties__" as definition.
-inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_3_4.con" "AbsCC_properties__".
+inline procedural "cic:/CoRN/complex/AbsCC/AbsCC_properties/l_4_3_4.con" "AbsCC_properties__" as definition.
(* end hide *)
(*#* ** The triangle inequality *)
-inline procedural "cic:/CoRN/complex/AbsCC/triangle.con".
+inline procedural "cic:/CoRN/complex/AbsCC/triangle.con" as lemma.
-inline procedural "cic:/CoRN/complex/AbsCC/triangle_Sum.con".
+inline procedural "cic:/CoRN/complex/AbsCC/triangle_Sum.con" as lemma.