matita/contribs/CoRN-Decl/fta/CC_Props.ma

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  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/fta/CC_Props".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: CC_Props.v,v 1.3 2004/04/23 10:00:56 lcf Exp $ *)
  22
  23 include "complex/AbsCC.ma".
  24
  25 (*#* * More properties of complex numbers
  26 ** Sequences and limits *)
  27
  28 (* UNEXPORTED
  29 Hint Resolve AbsIR_sqrt_sqr: algebra.
  30 *)
  31
  32 inline "cic:/CoRN/fta/CC_Props/absCC_absIR_re.con".
  33
  34 inline "cic:/CoRN/fta/CC_Props/absCC_absIR_im.con".
  35
  36 inline "cic:/CoRN/fta/CC_Props/seq_re.con".
  37
  38 inline "cic:/CoRN/fta/CC_Props/seq_im.con".
  39
  40 inline "cic:/CoRN/fta/CC_Props/CC_Cauchy_prop.con".
  41
  42 inline "cic:/CoRN/fta/CC_Props/CC_CauchySeq.ind".
  43
  44 coercion cic:/matita/CoRN-Decl/fta/CC_Props/CC_seq.con 0 (* compounds *).
  45
  46 inline "cic:/CoRN/fta/CC_Props/re_is_Cauchy.con".
  47
  48 inline "cic:/CoRN/fta/CC_Props/im_is_Cauchy.con".
  49
  50 inline "cic:/CoRN/fta/CC_Props/CC_Cauchy2re.con".
  51
  52 inline "cic:/CoRN/fta/CC_Props/CC_Cauchy2im.con".
  53
  54 inline "cic:/CoRN/fta/CC_Props/LimCC.con".
  55
  56 inline "cic:/CoRN/fta/CC_Props/CC_SeqLimit.con".
  57
  58 inline "cic:/CoRN/fta/CC_Props/AbsSmall_sqr.con".
  59
  60 inline "cic:/CoRN/fta/CC_Props/AbsSmall_AbsCC.con".
  61
  62 inline "cic:/CoRN/fta/CC_Props/LimCC_is_lim.con".
  63
  64 inline "cic:/CoRN/fta/CC_Props/CC_SeqLimit_uniq.con".
  65
  66 inline "cic:/CoRN/fta/CC_Props/CC_SeqLimit_unq.con".
  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 alias id "f" = "cic:/CoRN/fta/CC_Props/Continuity_for_CC/f.var".
  81
  82 (* (CSetoid_un_op CC). *)
  83
  84 inline "cic:/CoRN/fta/CC_Props/CCfunLim.con".
  85
  86 inline "cic:/CoRN/fta/CC_Props/CCcontinAt.con".
  87
  88 inline "cic:/CoRN/fta/CC_Props/CCcontin.con".
  89
  90 inline "cic:/CoRN/fta/CC_Props/CCfunLim_SeqLimit.con".
  91
  92 inline "cic:/CoRN/fta/CC_Props/f_seq.con".
  93
  94 inline "cic:/CoRN/fta/CC_Props/poly_pres_lim.con".
  95
  96 (* UNEXPORTED
  97 End Continuity_for_CC
  98 *)
  99
 100 inline "cic:/CoRN/fta/CC_Props/seq_yields_zero.con".
 101