X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Fprocedural%2FCoRN%2Freals%2Fiso_CReals.mma;fp=matita%2Fmatita%2Fcontribs%2Fprocedural%2FCoRN%2Freals%2Fiso_CReals.mma;h=c9c314c4851baca0a5d82bb865c92d61fbad7df0;hb=2c01ff6094173915e7023076ea48b5804dca7778;hp=0000000000000000000000000000000000000000;hpb=a050e3f80d7ea084ce0184279af98e8251c7d2a6;p=helm.git diff --git a/matita/matita/contribs/procedural/CoRN/reals/iso_CReals.mma b/matita/matita/contribs/procedural/CoRN/reals/iso_CReals.mma new file mode 100644 index 000000000..c9c314c48 --- /dev/null +++ b/matita/matita/contribs/procedural/CoRN/reals/iso_CReals.mma @@ -0,0 +1,127 @@ +(**************************************************************************) +(* ___ *) +(* ||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 *********************) + +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 procedural "cic:/CoRN/reals/iso_CReals/less_pres_Lim.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/Lim_pres_less.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/inj_seq_less.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/less_inj_seq.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/SeqLimit_unique.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/Lim_well_def.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/Lim_one_one.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/inj_seq_well_def.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/inj_Q_one_one.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/Lim_pres_plus.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/G_pres_plus.con" as lemma. + +(* This theorem can be avoided but it is interesting *) + +inline procedural "cic:/CoRN/reals/iso_CReals/nonarchemaedian_bound_for_Lim.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/Lim_pres_mult.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/G_pres_mult.con" as lemma. + +(* UNEXPORTED +Section Concrete_iso_between_Creals +*) + +(* UNEXPORTED +cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R1.var +*) + +(* UNEXPORTED +cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R2.var +*) + +inline procedural "cic:/CoRN/reals/iso_CReals/image_Cauchy12.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/image_Cauchy21.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq12.con" as definition. + +inline procedural "cic:/CoRN/reals/iso_CReals/image_G_as_CauchySeq21.con" as definition. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12.con" as definition. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21.con" as definition. + +(*#****** ISO FROM R1 TO R2 ********) + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_is_inverse_g21.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_is_surjective.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_strong_ext.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_pres_less.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_pres_plus.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_pres_mult.con" as theorem. + +(*#********* ISO FROM R2 TO R1 **********) + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_is_inverse_f12.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_is_surjective.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_strong_ext.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_pres_less.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_pres_plus.con" as theorem. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_pres_mult.con" as theorem. + +(*#** Building Homomorphisms out of f12 and g21 ***) + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_as_Homomorphism.con" as definition. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_as_Homomorphism.con" as definition. + +inline procedural "cic:/CoRN/reals/iso_CReals/f12_inverse_lft.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/g21_inverse_rht.con" as lemma. + +inline procedural "cic:/CoRN/reals/iso_CReals/Canonic_Isomorphism_between_CReals.con" as definition. + +(* UNEXPORTED +End Concrete_iso_between_Creals +*) + +(* end hide *) +