helm/software/matita/contribs/procedural/CoRN/fta/CC_Props.mma

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  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: CC_Props.v,v 1.3 2004/04/23 10:00:56 lcf Exp $ *)
  20
  21 include "complex/AbsCC.ma".
  22
  23 (*#* * More properties of complex numbers
  24 ** Sequences and limits *)
  25
  26 (* UNEXPORTED
  27 Hint Resolve AbsIR_sqrt_sqr: algebra.
  28 *)
  29
  30 inline procedural "cic:/CoRN/fta/CC_Props/absCC_absIR_re.con" as lemma.
  31
  32 inline procedural "cic:/CoRN/fta/CC_Props/absCC_absIR_im.con" as lemma.
  33
  34 inline procedural "cic:/CoRN/fta/CC_Props/seq_re.con" as definition.
  35
  36 inline procedural "cic:/CoRN/fta/CC_Props/seq_im.con" as definition.
  37
  38 inline procedural "cic:/CoRN/fta/CC_Props/CC_Cauchy_prop.con" as definition.
  39
  40 inline procedural "cic:/CoRN/fta/CC_Props/CC_CauchySeq.ind".
  41
  42 (* COERCION
  43 cic:/matita/CoRN-Procedural/fta/CC_Props/CC_seq.con
  44 *)
  45
  46 inline procedural "cic:/CoRN/fta/CC_Props/re_is_Cauchy.con" as lemma.
  47
  48 inline procedural "cic:/CoRN/fta/CC_Props/im_is_Cauchy.con" as lemma.
  49
  50 inline procedural "cic:/CoRN/fta/CC_Props/CC_Cauchy2re.con" as definition.
  51
  52 inline procedural "cic:/CoRN/fta/CC_Props/CC_Cauchy2im.con" as definition.
  53
  54 inline procedural "cic:/CoRN/fta/CC_Props/LimCC.con" as definition.
  55
  56 inline procedural "cic:/CoRN/fta/CC_Props/CC_SeqLimit.con" as definition.
  57
  58 inline procedural "cic:/CoRN/fta/CC_Props/AbsSmall_sqr.con" as lemma.
  59
  60 inline procedural "cic:/CoRN/fta/CC_Props/AbsSmall_AbsCC.con" as lemma.
  61
  62 inline procedural "cic:/CoRN/fta/CC_Props/LimCC_is_lim.con" as lemma.
  63
  64 inline procedural "cic:/CoRN/fta/CC_Props/CC_SeqLimit_uniq.con" as lemma.
  65
  66 inline procedural "cic:/CoRN/fta/CC_Props/CC_SeqLimit_unq.con" as lemma.
  67
  68 (*#* ** Continuity for [CC]
  69 *)
  70
  71 (* UNEXPORTED
  72 Section Continuity_for_CC
  73 *)
  74
  75 (*#*
  76 %\begin{convention}% Let [f : CC->CC].
  77 %\end{convention}%
  78 *)
  79
  80 (* UNEXPORTED
  81 cic:/CoRN/fta/CC_Props/Continuity_for_CC/f.var
  82 *)
  83
  84 (* (CSetoid_un_op CC). *)
  85
  86 inline procedural "cic:/CoRN/fta/CC_Props/CCfunLim.con" as definition.
  87
  88 inline procedural "cic:/CoRN/fta/CC_Props/CCcontinAt.con" as definition.
  89
  90 inline procedural "cic:/CoRN/fta/CC_Props/CCcontin.con" as definition.
  91
  92 inline procedural "cic:/CoRN/fta/CC_Props/CCfunLim_SeqLimit.con" as lemma.
  93
  94 inline procedural "cic:/CoRN/fta/CC_Props/f_seq.con" as definition.
  95
  96 inline procedural "cic:/CoRN/fta/CC_Props/poly_pres_lim.con" as lemma.
  97
  98 (* UNEXPORTED
  99 End Continuity_for_CC
 100 *)
 101
 102 inline procedural "cic:/CoRN/fta/CC_Props/seq_yields_zero.con" as lemma.
 103