X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fftc%2FFTC.ma;h=481eb2b3b4663b38f20eaa363ad7f563a3bb6c04;hb=09c8bb55c25143efdfbd34a20bb2fe6b681760b6;hp=6e373299c3ca4e02b7a0d8c9df9fd4e9a625dde1;hpb=5e01cba364607e7937aec2e359c34f049bb0f108;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma index 6e373299c..481eb2b3b 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma @@ -51,15 +51,15 @@ and [a] be a point in [I]. %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/I.var" "Indefinite_Integral__". +alias id "I" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/I.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/F.var" "Indefinite_Integral__". +alias id "F" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/F.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/contF.var" "Indefinite_Integral__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/contF.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/a.var" "Indefinite_Integral__". +alias id "a" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/a.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/Ha.var" "Indefinite_Integral__". +alias id "Ha" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/Ha.var". inline "cic:/CoRN/ftc/FTC/prim_lemma.con". @@ -94,15 +94,15 @@ indefinite integral of [F] from [x0]. %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/FTC/J.var" "FTC__". +alias id "J" = "cic:/CoRN/ftc/FTC/FTC/J.var". -inline "cic:/CoRN/ftc/FTC/FTC/F.var" "FTC__". +alias id "F" = "cic:/CoRN/ftc/FTC/FTC/F.var". -inline "cic:/CoRN/ftc/FTC/FTC/contF.var" "FTC__". +alias id "contF" = "cic:/CoRN/ftc/FTC/FTC/contF.var". -inline "cic:/CoRN/ftc/FTC/FTC/x0.var" "FTC__". +alias id "x0" = "cic:/CoRN/ftc/FTC/FTC/x0.var". -inline "cic:/CoRN/ftc/FTC/FTC/Hx0.var" "FTC__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/FTC/Hx0.var". (* begin hide *) @@ -116,7 +116,7 @@ inline "cic:/CoRN/ftc/FTC/Continuous_prim.con". The derivative of [G] is simply [F]. *) -inline "cic:/CoRN/ftc/FTC/FTC/pJ.var" "FTC__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/FTC/pJ.var". inline "cic:/CoRN/ftc/FTC/FTC1.con". @@ -124,9 +124,9 @@ inline "cic:/CoRN/ftc/FTC/FTC1.con". Any other function [G0] with derivative [F] must differ from [G] by a constant. *) -inline "cic:/CoRN/ftc/FTC/FTC/G0.var" "FTC__". +alias id "G0" = "cic:/CoRN/ftc/FTC/FTC/G0.var". -inline "cic:/CoRN/ftc/FTC/FTC/derG0.var" "FTC__". +alias id "derG0" = "cic:/CoRN/ftc/FTC/FTC/derG0.var". inline "cic:/CoRN/ftc/FTC/FTC2.con". @@ -180,15 +180,15 @@ then the sequence of their primitives also converges, and the limit commutes with the indefinite integral. *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/J.var" "Limit_of_Integral_Seq__". +alias id "J" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/J.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/f.var" "Limit_of_Integral_Seq__". +alias id "f" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/f.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/F.var" "Limit_of_Integral_Seq__". +alias id "F" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/F.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contf.var" "Limit_of_Integral_Seq__". +alias id "contf" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contF.var" "Limit_of_Integral_Seq__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contF.var". (* UNEXPORTED Section Compact @@ -204,27 +204,27 @@ continuous in [[a,b]], $x0\in[a,b]$#x0∈[a,b]#; denote by %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/a.var" "Limit_of_Integral_Seq__Compact__". +alias id "a" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/a.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/b.var" "Limit_of_Integral_Seq__Compact__". +alias id "b" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/b.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hab.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hab" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hab.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIf.var" "Limit_of_Integral_Seq__Compact__". +alias id "contIf" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIF.var" "Limit_of_Integral_Seq__Compact__". +alias id "contIF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIF.var". (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/convF.var" "Limit_of_Integral_Seq__Compact__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/convF.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/x0.var" "Limit_of_Integral_Seq__Compact__". +alias id "x0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/x0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0'.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hx0'" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0'.var". (* begin hide *) @@ -236,9 +236,9 @@ inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/G.con" "Limit_of_Integra (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contg.var" "Limit_of_Integral_Seq__Compact__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contG.var" "Limit_of_Integral_Seq__Compact__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contG.var". (* end show *) @@ -266,13 +266,13 @@ Finally, with [x0, g, G] as before, (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/convF.var" "Limit_of_Integral_Seq__General__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/convF.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/x0.var" "Limit_of_Integral_Seq__General__". +alias id "x0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/x0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/Hx0.var" "Limit_of_Integral_Seq__General__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/Hx0.var". (* begin hide *) @@ -282,9 +282,9 @@ inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/G.con" "Limit_of_Integra (* end hide *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contg.var" "Limit_of_Integral_Seq__General__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contG.var" "Limit_of_Integral_Seq__General__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contG.var". inline "cic:/CoRN/ftc/FTC/fun_lim_seq_integral_IR.con". @@ -307,31 +307,31 @@ Similar results hold for the sequence of derivatives of a converging sequence; t %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/J.var" "Limit_of_Derivative_Seq__". +alias id "J" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/J.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/pJ.var" "Limit_of_Derivative_Seq__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/pJ.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/f.var" "Limit_of_Derivative_Seq__". +alias id "f" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/f.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/g.var" "Limit_of_Derivative_Seq__". +alias id "g" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/g.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/F.var" "Limit_of_Derivative_Seq__". +alias id "F" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/F.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/G.var" "Limit_of_Derivative_Seq__". +alias id "G" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/G.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contf.var" "Limit_of_Derivative_Seq__". +alias id "contf" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contF.var" "Limit_of_Derivative_Seq__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contF.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convF.var" "Limit_of_Derivative_Seq__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convF.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contg.var" "Limit_of_Derivative_Seq__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contG.var" "Limit_of_Derivative_Seq__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contG.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convG.var" "Limit_of_Derivative_Seq__". +alias id "convG" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convG.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/derf.var" "Limit_of_Derivative_Seq__". +alias id "derf" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/derf.var". inline "cic:/CoRN/ftc/FTC/fun_lim_seq_derivative.con". @@ -347,23 +347,23 @@ Section Derivative_Series As a very important case of this result, we get a rule for deriving series. *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/J.var" "Derivative_Series__". +alias id "J" = "cic:/CoRN/ftc/FTC/Derivative_Series/J.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/pJ.var" "Derivative_Series__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/Derivative_Series/pJ.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/f.var" "Derivative_Series__". +alias id "f" = "cic:/CoRN/ftc/FTC/Derivative_Series/f.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/g.var" "Derivative_Series__". +alias id "g" = "cic:/CoRN/ftc/FTC/Derivative_Series/g.var". (* begin show *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/convF.var" "Derivative_Series__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Derivative_Series/convF.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/convG.var" "Derivative_Series__". +alias id "convG" = "cic:/CoRN/ftc/FTC/Derivative_Series/convG.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/derF.var" "Derivative_Series__". +alias id "derF" = "cic:/CoRN/ftc/FTC/Derivative_Series/derF.var". inline "cic:/CoRN/ftc/FTC/Derivative_FSeries.con".