X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Freals%2Fiso_CReals.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Freals%2Fiso_CReals.ma;h=40fc12b205d9f08f3faf97ac63d29de5329c35f5;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/reals/iso_CReals.ma b/matita/contribs/CoRN-Decl/reals/iso_CReals.ma new file mode 100644 index 000000000..40fc12b20 --- /dev/null +++ b/matita/contribs/CoRN-Decl/reals/iso_CReals.ma @@ -0,0 +1,125 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +set "baseuri" "cic:/matita/CoRN-Decl/reals/iso_CReals". + +include "CoRN.ma". + +(* begin hide *) + +(* in this file the concrete canonical isomorphism -in te sense of + R_morphisms.v - between two arbitrary model of real numbers is built *) + +include "reals/Q_dense.ma". + +include "reals/R_morphism.ma". + +inline "cic:/CoRN/reals/iso_CReals/less_pres_Lim.con". + +inline "cic:/CoRN/reals/iso_CReals/Lim_pres_less.con". + +inline "cic:/CoRN/reals/iso_CReals/inj_seq_less.con". + +inline "cic:/CoRN/reals/iso_CReals/less_inj_seq.con". + +inline "cic:/CoRN/reals/iso_CReals/SeqLimit_unique.con". + +inline "cic:/CoRN/reals/iso_CReals/Lim_well_def.con". + +inline "cic:/CoRN/reals/iso_CReals/Lim_one_one.con". + +inline "cic:/CoRN/reals/iso_CReals/inj_seq_well_def.con". + +inline "cic:/CoRN/reals/iso_CReals/inj_Q_one_one.con". + +inline "cic:/CoRN/reals/iso_CReals/Lim_pres_plus.con". + +inline "cic:/CoRN/reals/iso_CReals/G_pres_plus.con". + +(* This theorem can be avoided but it is interesting *) + +inline "cic:/CoRN/reals/iso_CReals/nonarchemaedian_bound_for_Lim.con". + +inline "cic:/CoRN/reals/iso_CReals/Lim_pres_mult.con". + +inline "cic:/CoRN/reals/iso_CReals/G_pres_mult.con". + +(* UNEXPORTED +Section Concrete_iso_between_Creals +*) + +alias id "R1" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R1.var". + +alias id "R2" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R2.var". + +inline "cic:/CoRN/reals/iso_CReals/image_Cauchy12.con". + +inline "cic:/CoRN/reals/iso_CReals/image_Cauchy21.con". + +inline "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq12.con". + +inline "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq21.con". + +inline "cic:/CoRN/reals/iso_CReals/f12.con". + +inline "cic:/CoRN/reals/iso_CReals/g21.con". + +(*#****** ISO FROM R1 TO R2 ********) + +inline "cic:/CoRN/reals/iso_CReals/f12_is_inverse_g21.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_is_surjective.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_strong_ext.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_pres_less.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_pres_plus.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_pres_mult.con". + +(*#********* ISO FROM R2 TO R1 **********) + +inline "cic:/CoRN/reals/iso_CReals/g21_is_inverse_f12.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_is_surjective.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_strong_ext.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_pres_less.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_pres_plus.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_pres_mult.con". + +(*#** Building Homomorphisms out of f12 and g21 ***) + +inline "cic:/CoRN/reals/iso_CReals/f12_as_Homomorphism.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_as_Homomorphism.con". + +inline "cic:/CoRN/reals/iso_CReals/f12_inverse_lft.con". + +inline "cic:/CoRN/reals/iso_CReals/g21_inverse_rht.con". + +inline "cic:/CoRN/reals/iso_CReals/Canonic_Isomorphism_between_CReals.con". + +(* UNEXPORTED +End Concrete_iso_between_Creals +*) + +(* end hide *) +