]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/CoRN-Procedural/ftc/MoreFunctions.mma
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[helm.git] / helm / software / matita / contribs / CoRN-Procedural / ftc / MoreFunctions.mma
index b90197e3bc6195f0643c4a83ea036c36c9cab66f..89c1d2e1dfe7dd9e32d32f9452b32869173d87c5 100644 (file)
@@ -42,7 +42,9 @@ arbitrary intervals.
 **Continuity
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Results/I.var
+*)
 
 (*#*
 Trivial stuff.
@@ -55,17 +57,25 @@ inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_imp_inc.con" as lemma.
 %\end{convention}%
 *)
 
-alias id "cI" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/cI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Results/cI.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Results/F.var
+*)
 
-alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/contF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Results/contF.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/continuous_compact.con" as lemma.
 
 (* begin show *)
 
-alias id "Hinc" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/Hinc.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Results/Hinc.var
+*)
 
 (* end show *)
 
@@ -91,19 +101,29 @@ Section Other_Results
 The usual stuff.
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Other_Results/I.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Other_Results/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Other_Results/G.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_wd.con" as lemma.
 
 (* begin show *)
 
-alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/contF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Other_Results/contF.var
+*)
 
-alias id "contG" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/contG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Other_Results/contG.var
+*)
 
 (* end show *)
 
@@ -149,17 +169,29 @@ Hint Immediate included_imp_Continuous Included_imp_Continuous: continuous.
 Section Corollaries
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/I.var
+*)
 
-alias id "cI" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/cI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/cI.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/G.var
+*)
 
-alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/contF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/contF.var
+*)
 
-alias id "contG" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/contG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Corollaries/contG.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_div.con" as lemma.
 
@@ -177,7 +209,9 @@ Hint Resolve Continuous_div: continuous.
 Section Sums
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Sums/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Sums/I.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_Sumx.con" as lemma.
 
@@ -186,9 +220,13 @@ inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_Sumx.con" as lemma.
 %\end{convention}%
 *)
 
-alias id "f" = "cic:/CoRN/ftc/MoreFunctions/Sums/f.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Sums/f.var
+*)
 
-alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Sums/contF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Sums/contF.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Continuous_Sum0.con" as lemma.
 
@@ -214,15 +252,25 @@ Derivative is not that much different.
 %\end{convention}%
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Properties/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Properties/pI.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Properties/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Properties/G.var
+*)
 
-alias id "H" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/H.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Basic_Properties/H.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Derivative_wdl.con" as lemma.
 
@@ -255,26 +303,42 @@ Hint Immediate Derivative_imp_Continuous Derivative_imp_Continuous':
 Section More_Results
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Results/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Results/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/pI.var
+*)
 
 (*#*
 %\begin{convention}% Assume that [F'] and [G'] are derivatives of [F] and [G], respectively, in [I].
 %\end{convention}%
 *)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/More_Results/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/F.var
+*)
 
-alias id "F'" = "cic:/CoRN/ftc/MoreFunctions/More_Results/F'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/F'.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/More_Results/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/G.var
+*)
 
-alias id "G'" = "cic:/CoRN/ftc/MoreFunctions/More_Results/G'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/G'.var
+*)
 
-alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Results/derF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/derF.var
+*)
 
-alias id "derG" = "cic:/CoRN/ftc/MoreFunctions/More_Results/derG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Results/derG.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/included_imp_Derivative.con" as lemma.
 
@@ -306,25 +370,43 @@ End More_Results
 Section More_Corollaries
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/pI.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F.var
+*)
 
-alias id "F'" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F'.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G.var
+*)
 
-alias id "G'" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G'.var
+*)
 
-alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derF.var
+*)
 
-alias id "derG" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derG.var
+*)
 
 (* begin show *)
 
-alias id "Gbnd" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/Gbnd.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Corollaries/Gbnd.var
+*)
 
 (* end show *)
 
@@ -338,19 +420,29 @@ End More_Corollaries
 Section More_Sums
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Sums/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Sums/pI.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Derivative_Sumx.con" as lemma.
 
 (* begin show *)
 
-alias id "f" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/f.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Sums/f.var
+*)
 
-alias id "f'" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/f'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Sums/f'.var
+*)
 
-alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/derF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/More_Sums/derF.var
+*)
 
 (* end show *)
 
@@ -371,9 +463,13 @@ Section Diffble_Basic_Properties
 Mutatis mutandis for differentiability.
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/pI.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Diffble_imp_inc.con" as lemma.
 
@@ -381,13 +477,21 @@ inline procedural "cic:/CoRN/ftc/MoreFunctions/Derivative_imp_Diffble.con" as le
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Diffble_wd.con" as lemma.
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/G.var
+*)
 
-alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffF.var
+*)
 
-alias id "diffG" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffG.var
+*)
 
 (*#*
 %\begin{convention}% Assume [F] and [G] are differentiable in [I].
@@ -428,17 +532,29 @@ Hint Immediate Diffble_imp_inc: included.
 Section Diffble_Corollaries
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/pI.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/G.var
+*)
 
-alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffF.var
+*)
 
-alias id "diffG" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffG.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffG.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/Diffble_div.con" as lemma.
 
@@ -461,9 +577,13 @@ Section Nth_Derivative
 Higher order derivatives pose more interesting problems.  It turns out that it really becomes necessary to generalize our [n_deriv] operator to any interval.
 *)
 
-alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/I.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/I.var
+*)
 
-alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/pI.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/pI.var
+*)
 
 (* UNEXPORTED
 Section Definitions
@@ -474,11 +594,17 @@ Section Definitions
 %\end{convention}%
 *)
 
-alias id "n" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/n.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/n.var
+*)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/F.var
+*)
 
-alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/diffF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/diffF.var
+*)
 
 inline procedural "cic:/CoRN/ftc/MoreFunctions/N_Deriv_fun.con" as definition.
 
@@ -579,11 +705,15 @@ Section Derivating_Diffble
 As a special case we get a differentiation operator%\ldots%#...#
 *)
 
-alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/F.var
+*)
 
 (* begin show *)
 
-alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/diffF.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/diffF.var
+*)
 
 (* end show *)