matita/contribs/CoRN-Decl/reals/iso_CReals.ma

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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 set "baseuri" "cic:/matita/CoRN-Decl/reals/iso_CReals".
  18
  19 (* begin hide *)
  20
  21 (* in this file the  concrete canonical isomorphism -in te sense of
  22    R_morphisms.v - between two arbitrary model of real numbers is built *)
  23
  24 (* INCLUDE
  25 Q_dense
  26 *)
  27
  28 (* INCLUDE
  29 R_morphism
  30 *)
  31
  32 inline cic:/CoRN/reals/iso_CReals/less_pres_Lim.con.
  33
  34 inline cic:/CoRN/reals/iso_CReals/Lim_pres_less.con.
  35
  36 inline cic:/CoRN/reals/iso_CReals/inj_seq_less.con.
  37
  38 inline cic:/CoRN/reals/iso_CReals/less_inj_seq.con.
  39
  40 inline cic:/CoRN/reals/iso_CReals/SeqLimit_unique.con.
  41
  42 inline cic:/CoRN/reals/iso_CReals/Lim_well_def.con.
  43
  44 inline cic:/CoRN/reals/iso_CReals/Lim_one_one.con.
  45
  46 inline cic:/CoRN/reals/iso_CReals/inj_seq_well_def.con.
  47
  48 inline cic:/CoRN/reals/iso_CReals/inj_Q_one_one.con.
  49
  50 inline cic:/CoRN/reals/iso_CReals/Lim_pres_plus.con.
  51
  52 inline cic:/CoRN/reals/iso_CReals/G_pres_plus.con.
  53
  54 (* This theorem can be avoided but it is interesting *)
  55
  56 inline cic:/CoRN/reals/iso_CReals/nonarchemaedian_bound_for_Lim.con.
  57
  58 inline cic:/CoRN/reals/iso_CReals/Lim_pres_mult.con.
  59
  60 inline cic:/CoRN/reals/iso_CReals/G_pres_mult.con.
  61
  62 (* UNEXPORTED
  63 Section Concrete_iso_between_Creals.
  64 *)
  65
  66 inline cic:/CoRN/reals/iso_CReals/R1.var.
  67
  68 inline cic:/CoRN/reals/iso_CReals/R2.var.
  69
  70 inline cic:/CoRN/reals/iso_CReals/image_Cauchy12.con.
  71
  72 inline cic:/CoRN/reals/iso_CReals/image_Cauchy21.con.
  73
  74 inline cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq12.con.
  75
  76 inline cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq21.con.
  77
  78 inline cic:/CoRN/reals/iso_CReals/f12.con.
  79
  80 inline cic:/CoRN/reals/iso_CReals/g21.con.
  81
  82 (*#****** ISO FROM R1 TO R2 ********)
  83
  84 inline cic:/CoRN/reals/iso_CReals/f12_is_inverse_g21.con.
  85
  86 inline cic:/CoRN/reals/iso_CReals/f12_is_surjective.con.
  87
  88 inline cic:/CoRN/reals/iso_CReals/f12_strong_ext.con.
  89
  90 inline cic:/CoRN/reals/iso_CReals/f12_pres_less.con.
  91
  92 inline cic:/CoRN/reals/iso_CReals/f12_pres_plus.con.
  93
  94 inline cic:/CoRN/reals/iso_CReals/f12_pres_mult.con.
  95
  96 (*#********* ISO FROM R2 TO R1 **********)
  97
  98 inline cic:/CoRN/reals/iso_CReals/g21_is_inverse_f12.con.
  99
 100 inline cic:/CoRN/reals/iso_CReals/g21_is_surjective.con.
 101
 102 inline cic:/CoRN/reals/iso_CReals/g21_strong_ext.con.
 103
 104 inline cic:/CoRN/reals/iso_CReals/g21_pres_less.con.
 105
 106 inline cic:/CoRN/reals/iso_CReals/g21_pres_plus.con.
 107
 108 inline cic:/CoRN/reals/iso_CReals/g21_pres_mult.con.
 109
 110 (*#** Building Homomorphisms out of f12 and g21 ***)
 111
 112 inline cic:/CoRN/reals/iso_CReals/f12_as_Homomorphism.con.
 113
 114 inline cic:/CoRN/reals/iso_CReals/g21_as_Homomorphism.con.
 115
 116 inline cic:/CoRN/reals/iso_CReals/f12_inverse_lft.con.
 117
 118 inline cic:/CoRN/reals/iso_CReals/g21_inverse_rht.con.
 119
 120 inline cic:/CoRN/reals/iso_CReals/Canonic_Isomorphism_between_CReals.con.
 121
 122 (* UNEXPORTED
 123 End Concrete_iso_between_Creals.
 124 *)
 125
 126 (* end hide *)
 127