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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 (* This file was automatically generated: do not edit *********************)
16
17 set "baseuri" "cic:/matita/CoRN-Decl/fta/CC_Props".
18
19 (* $Id: CC_Props.v,v 1.3 2004/04/23 10:00:56 lcf Exp $ *)
20
21 (* INCLUDE
22 AbsCC
23 *)
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 inline cic:/CoRN/fta/CC_Props/re_is_Cauchy.con.
45
46 inline cic:/CoRN/fta/CC_Props/im_is_Cauchy.con.
47
48 inline cic:/CoRN/fta/CC_Props/CC_Cauchy2re.con.
49
50 inline cic:/CoRN/fta/CC_Props/CC_Cauchy2im.con.
51
52 inline cic:/CoRN/fta/CC_Props/LimCC.con.
53
54 inline cic:/CoRN/fta/CC_Props/CC_SeqLimit.con.
55
56 inline cic:/CoRN/fta/CC_Props/AbsSmall_sqr.con.
57
58 inline cic:/CoRN/fta/CC_Props/AbsSmall_AbsCC.con.
59
60 inline cic:/CoRN/fta/CC_Props/LimCC_is_lim.con.
61
62 inline cic:/CoRN/fta/CC_Props/CC_SeqLimit_uniq.con.
63
64 inline cic:/CoRN/fta/CC_Props/CC_SeqLimit_unq.con.
65
66 (*#* ** Continuity for [CC]
67 *)
68
69 (* UNEXPORTED
70 Section Continuity_for_CC.
71 *)
72
73 (*#*
74 %\begin{convention}% Let [f : CC->CC].
75 %\end{convention}%
76 *)
77
78 inline cic:/CoRN/fta/CC_Props/f.var.
79
80 (* (CSetoid_un_op CC). *)
81
82 inline cic:/CoRN/fta/CC_Props/CCfunLim.con.
83
84 inline cic:/CoRN/fta/CC_Props/CCcontinAt.con.
85
86 inline cic:/CoRN/fta/CC_Props/CCcontin.con.
87
88 inline cic:/CoRN/fta/CC_Props/CCfunLim_SeqLimit.con.
89
90 inline cic:/CoRN/fta/CC_Props/f_seq.con.
91
92 inline cic:/CoRN/fta/CC_Props/poly_pres_lim.con.
93
94 (* UNEXPORTED
95 End Continuity_for_CC.
96 *)
97
98 inline cic:/CoRN/fta/CC_Props/seq_yields_zero.con.
99