X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Freals%2FNRootIR.ma;h=0f976d765be65e4630453f83dcff9b6a98157cc9;hb=55e5bef77f163b29feeb9ad4e83376c5aa301297;hp=c82c1cde3ca7da7f8c8299cc44e562a9d0db97f9;hpb=876f16ec4e9080bad4e39bd9c203d6529dcf4f56;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma b/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma index c82c1cde3..0f976d765 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma @@ -29,7 +29,7 @@ include "reals/OddPolyRootIR.ma". (*#* * Roots of Real Numbers *) (* UNEXPORTED -Section NRoot. +Section NRoot *) (*#* ** Existence of roots @@ -39,24 +39,24 @@ Section NRoot. %\end{convention}% *) -inline "cic:/CoRN/reals/NRootIR/n.var". +alias id "n" = "cic:/CoRN/reals/NRootIR/NRoot/n.var". -inline "cic:/CoRN/reals/NRootIR/n_pos.var". +alias id "n_pos" = "cic:/CoRN/reals/NRootIR/NRoot/n_pos.var". -inline "cic:/CoRN/reals/NRootIR/c.var". +alias id "c" = "cic:/CoRN/reals/NRootIR/NRoot/c.var". -inline "cic:/CoRN/reals/NRootIR/c_nonneg.var". +alias id "c_nonneg" = "cic:/CoRN/reals/NRootIR/NRoot/c_nonneg.var". (* begin hide *) -inline "cic:/CoRN/reals/NRootIR/p.con". +inline "cic:/CoRN/reals/NRootIR/NRoot/p.con" "NRoot__". (* end hide *) inline "cic:/CoRN/reals/NRootIR/CnrootIR.con". (* UNEXPORTED -End NRoot. +End NRoot *) (*#* We define the root of order [n] for any nonnegative real number and @@ -72,7 +72,7 @@ prove its main properties: *) (* UNEXPORTED -Section Nth_Root. +Section Nth_Root *) inline "cic:/CoRN/reals/NRootIR/nroot.con". @@ -100,20 +100,20 @@ inline "cic:/CoRN/reals/NRootIR/NRoot_cancel.con". (*#* %\begin{convention}% Let [x,y] be nonnegative real numbers. %\end{convention}% *) -inline "cic:/CoRN/reals/NRootIR/x.var". +alias id "x" = "cic:/CoRN/reals/NRootIR/Nth_Root/x.var". -inline "cic:/CoRN/reals/NRootIR/y.var". +alias id "y" = "cic:/CoRN/reals/NRootIR/Nth_Root/y.var". -inline "cic:/CoRN/reals/NRootIR/Hx.var". +alias id "Hx" = "cic:/CoRN/reals/NRootIR/Nth_Root/Hx.var". -inline "cic:/CoRN/reals/NRootIR/Hy.var". +alias id "Hy" = "cic:/CoRN/reals/NRootIR/Nth_Root/Hy.var". inline "cic:/CoRN/reals/NRootIR/NRoot_wd.con". inline "cic:/CoRN/reals/NRootIR/NRoot_unique.con". (* UNEXPORTED -End Nth_Root. +End Nth_Root *) (* UNEXPORTED @@ -129,7 +129,7 @@ inline "cic:/CoRN/reals/NRootIR/NRoot_resp_leEq.con". (*#**********************************) (* UNEXPORTED -Section Square_root. +Section Square_root *) (*#**********************************) @@ -173,7 +173,7 @@ inline "cic:/CoRN/reals/NRootIR/sqrt_resp_leEq.con". inline "cic:/CoRN/reals/NRootIR/sqrt_resp_less.con". (* UNEXPORTED -End Square_root. +End Square_root *) (* UNEXPORTED @@ -185,7 +185,7 @@ Hint Resolve sqrt_sqr sqrt_mult: algebra. *) (* UNEXPORTED -Section Absolute_Props. +Section Absolute_Props *) (*#* ** More on absolute value @@ -243,11 +243,11 @@ inline "cic:/CoRN/reals/NRootIR/AbsIR_str_bnd_AbsIR.con". inline "cic:/CoRN/reals/NRootIR/AbsIR_bnd_AbsIR.con". (* UNEXPORTED -End Absolute_Props. +End Absolute_Props *) (* UNEXPORTED -Section Consequences. +Section Consequences *) (*#* **Cauchy sequences @@ -264,6 +264,6 @@ inline "cic:/CoRN/reals/NRootIR/Cauchy_recip.con". inline "cic:/CoRN/reals/NRootIR/Lim_recip.con". (* UNEXPORTED -End Consequences. +End Consequences *)