helm/software/matita/contribs/procedural/CoRN/complex/Complex_Exponential.mma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Complex_Exponential.v,v 1.4 2004/04/23 10:00:55 lcf Exp $ *)
  20
  21 (*#* printing ExpCC %\ensuremath{\exp_{\mathbb C}}% *)
  22
  23 include "complex/AbsCC.ma".
  24
  25 include "transc/Exponential.ma".
  26
  27 include "transc/Pi.ma".
  28
  29 (*#* ** The Complex Exponential *)
  30
  31 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC.con" as definition.
  32
  33 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_wd.con" as lemma.
  34
  35 (* begin hide *)
  36
  37 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_1.con" as lemma.
  38
  39 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_2.con" as lemma.
  40
  41 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_3.con" as lemma.
  42
  43 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_equation_aid_4.con" as lemma.
  44
  45 (* end hide *)
  46
  47 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_plus.con" as lemma.
  48
  49 (* UNEXPORTED
  50 Hint Resolve ExpCC_plus: algebra.
  51 *)
  52
  53 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Zero.con" as lemma.
  54
  55 (* UNEXPORTED
  56 Hint Resolve ExpCC_Zero: algebra.
  57 *)
  58
  59 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_inv_aid.con" as lemma.
  60
  61 (* UNEXPORTED
  62 Hint Resolve ExpCC_inv_aid: algebra.
  63 *)
  64
  65 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_ap_zero.con" as lemma.
  66
  67 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_inv.con" as lemma.
  68
  69 (* UNEXPORTED
  70 Hint Resolve ExpCC_inv: algebra.
  71 *)
  72
  73 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_pow.con" as lemma.
  74
  75 (* UNEXPORTED
  76 Hint Resolve ExpCC_pow: algebra.
  77 *)
  78
  79 inline procedural "cic:/CoRN/complex/Complex_Exponential/AbsCC_ExpCC.con" as lemma.
  80
  81 (* UNEXPORTED
  82 Hint Resolve AbsCC_ExpCC: algebra.
  83 *)
  84
  85 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Periodic.con" as lemma.
  86
  87 (* UNEXPORTED
  88 Hint Resolve ExpCC_Periodic: algebra.
  89 *)
  90
  91 inline procedural "cic:/CoRN/complex/Complex_Exponential/ExpCC_Exp.con" as lemma.
  92
  93 (* UNEXPORTED
  94 Hint Resolve ExpCC_Exp: algebra.
  95 *)
  96
  97 (* UNEXPORTED
  98 Opaque Sin Cos Exp.
  99 *)
 100
 101 inline procedural "cic:/CoRN/complex/Complex_Exponential/Euler.con" as theorem.
 102