X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Freals%2FCauchySeq.ma;h=4bc6c7aa18e1185dc7bf81a0ffc891253c5e5c09;hb=378a122bd40f832581ee3e82cc428584b6579a57;hp=e019be0736b37e6f5dc5bb32bd84a3df3d388f22;hpb=f104e234238586ac846881feb30e1b56a509cfd3;p=helm.git diff --git a/matita/contribs/CoRN-Decl/reals/CauchySeq.ma b/matita/contribs/CoRN-Decl/reals/CauchySeq.ma index e019be073..4bc6c7aa1 100644 --- a/matita/contribs/CoRN-Decl/reals/CauchySeq.ma +++ b/matita/contribs/CoRN-Decl/reals/CauchySeq.ma @@ -43,16 +43,36 @@ Definition IR : CReals := Concrete_R. Opaque IR. *) -inline "cic:/CoRN/reals/CauchySeq/IR.var". +alias id "IR" = "cic:/CoRN/reals/CauchySeq/IR.var". + +(* NOTATION +Notation PartIR := (PartFunct IR). +*) + +(* NOTATION +Notation ProjIR1 := (prj1 IR _ _ _). +*) + +(* NOTATION +Notation ProjIR2 := (prj2 IR _ _ _). +*) include "tactics/Transparent_algebra.ma". (* begin hide *) +(* NOTATION +Notation ZeroR := (Zero:IR). +*) + +(* NOTATION +Notation OneR := (One:IR). +*) + (* end hide *) (* UNEXPORTED -Section CReals_axioms. +Section CReals_axioms *) (*#* ** [CReals] axioms *) @@ -74,11 +94,11 @@ inline "cic:/CoRN/reals/CauchySeq/str_Archimedes.con". inline "cic:/CoRN/reals/CauchySeq/CauchySeqR.con". (* UNEXPORTED -End CReals_axioms. +End CReals_axioms *) (* UNEXPORTED -Section Cauchy_Defs. +Section Cauchy_Defs *) (*#* ** Cauchy sequences @@ -149,11 +169,11 @@ inline "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4.con". inline "cic:/CoRN/reals/CauchySeq/Cauchy_prop4.con". (* UNEXPORTED -End Cauchy_Defs. +End Cauchy_Defs *) (* UNEXPORTED -Section Inequalities. +Section Inequalities *) (*#* *** Inequalities of Limits @@ -195,11 +215,11 @@ inline "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap.con". inline "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap'.con". (* UNEXPORTED -End Inequalities. +End Inequalities *) (* UNEXPORTED -Section Equiv_Cauchy. +Section Equiv_Cauchy *) (*#* *** Equivalence of formulations of Cauchy *) @@ -247,11 +267,11 @@ inline "cic:/CoRN/reals/CauchySeq/Lim_wd'.con". inline "cic:/CoRN/reals/CauchySeq/Lim_unique.con". (* UNEXPORTED -End Equiv_Cauchy. +End Equiv_Cauchy *) (* UNEXPORTED -Section Cauchy_props. +Section Cauchy_props *) (*#* *** Properties of Cauchy sequences @@ -290,6 +310,6 @@ inline "cic:/CoRN/reals/CauchySeq/Cauchy_mult.con". inline "cic:/CoRN/reals/CauchySeq/Lim_mult.con". (* UNEXPORTED -End Cauchy_props. +End Cauchy_props *)