1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: Complex_Exponential.v,v 1.4 2004/04/23 10:00:55 lcf Exp $ *)
21 (*#* printing ExpCC %\ensuremath{\exp_{\mathbb C}}% *)
23 include "complex/AbsCC.ma".
25 include "transc/Exponential.ma".
27 include "transc/Pi.ma".
29 (*#* ** The Complex Exponential *)
31 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC.con" as definition.
33 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_wd.con" as lemma.
37 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_1.con" as lemma.
39 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_2.con" as lemma.
41 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_3.con" as lemma.
43 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_4.con" as lemma.
47 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_plus.con" as lemma.
50 Hint Resolve ExpCC_plus: algebra.
53 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Zero.con" as lemma.
56 Hint Resolve ExpCC_Zero: algebra.
59 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_inv_aid.con" as lemma.
62 Hint Resolve ExpCC_inv_aid: algebra.
65 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_ap_zero.con" as lemma.
67 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_inv.con" as lemma.
70 Hint Resolve ExpCC_inv: algebra.
73 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_pow.con" as lemma.
76 Hint Resolve ExpCC_pow: algebra.
79 inline procedural "cic:/CoRN/complex/Complex_Exponential/AbsCC_ExpCC.con" as lemma.
82 Hint Resolve AbsCC_ExpCC: algebra.
85 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Periodic.con" as lemma.
88 Hint Resolve ExpCC_Periodic: algebra.
91 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Exp.con" as lemma.
94 Hint Resolve ExpCC_Exp: algebra.
101 inline procedural "cic:/CoRN/complex/Complex_Exponential/Euler.con" as theorem.