1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/reals/iso_CReals".
23 (* in this file the concrete canonical isomorphism -in te sense of
24 R_morphisms.v - between two arbitrary model of real numbers is built *)
26 include "reals/Q_dense.ma".
28 include "reals/R_morphism.ma".
30 inline "cic:/CoRN/reals/iso_CReals/less_pres_Lim.con".
32 inline "cic:/CoRN/reals/iso_CReals/Lim_pres_less.con".
34 inline "cic:/CoRN/reals/iso_CReals/inj_seq_less.con".
36 inline "cic:/CoRN/reals/iso_CReals/less_inj_seq.con".
38 inline "cic:/CoRN/reals/iso_CReals/SeqLimit_unique.con".
40 inline "cic:/CoRN/reals/iso_CReals/Lim_well_def.con".
42 inline "cic:/CoRN/reals/iso_CReals/Lim_one_one.con".
44 inline "cic:/CoRN/reals/iso_CReals/inj_seq_well_def.con".
46 inline "cic:/CoRN/reals/iso_CReals/inj_Q_one_one.con".
48 inline "cic:/CoRN/reals/iso_CReals/Lim_pres_plus.con".
50 inline "cic:/CoRN/reals/iso_CReals/G_pres_plus.con".
52 (* This theorem can be avoided but it is interesting *)
54 inline "cic:/CoRN/reals/iso_CReals/nonarchemaedian_bound_for_Lim.con".
56 inline "cic:/CoRN/reals/iso_CReals/Lim_pres_mult.con".
58 inline "cic:/CoRN/reals/iso_CReals/G_pres_mult.con".
61 Section Concrete_iso_between_Creals
64 alias id "R1" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R1.var".
66 alias id "R2" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R2.var".
68 inline "cic:/CoRN/reals/iso_CReals/image_Cauchy12.con".
70 inline "cic:/CoRN/reals/iso_CReals/image_Cauchy21.con".
72 inline "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq12.con".
74 inline "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq21.con".
76 inline "cic:/CoRN/reals/iso_CReals/f12.con".
78 inline "cic:/CoRN/reals/iso_CReals/g21.con".
80 (*#****** ISO FROM R1 TO R2 ********)
82 inline "cic:/CoRN/reals/iso_CReals/f12_is_inverse_g21.con".
84 inline "cic:/CoRN/reals/iso_CReals/f12_is_surjective.con".
86 inline "cic:/CoRN/reals/iso_CReals/f12_strong_ext.con".
88 inline "cic:/CoRN/reals/iso_CReals/f12_pres_less.con".
90 inline "cic:/CoRN/reals/iso_CReals/f12_pres_plus.con".
92 inline "cic:/CoRN/reals/iso_CReals/f12_pres_mult.con".
94 (*#********* ISO FROM R2 TO R1 **********)
96 inline "cic:/CoRN/reals/iso_CReals/g21_is_inverse_f12.con".
98 inline "cic:/CoRN/reals/iso_CReals/g21_is_surjective.con".
100 inline "cic:/CoRN/reals/iso_CReals/g21_strong_ext.con".
102 inline "cic:/CoRN/reals/iso_CReals/g21_pres_less.con".
104 inline "cic:/CoRN/reals/iso_CReals/g21_pres_plus.con".
106 inline "cic:/CoRN/reals/iso_CReals/g21_pres_mult.con".
108 (*#** Building Homomorphisms out of f12 and g21 ***)
110 inline "cic:/CoRN/reals/iso_CReals/f12_as_Homomorphism.con".
112 inline "cic:/CoRN/reals/iso_CReals/g21_as_Homomorphism.con".
114 inline "cic:/CoRN/reals/iso_CReals/f12_inverse_lft.con".
116 inline "cic:/CoRN/reals/iso_CReals/g21_inverse_rht.con".
118 inline "cic:/CoRN/reals/iso_CReals/Canonic_Isomorphism_between_CReals.con".
121 End Concrete_iso_between_Creals