]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/CoRN-Procedural/ftc/Derivative.mma
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[helm.git] / helm / software / matita / contribs / CoRN-Procedural / ftc / Derivative.mma
index 5b43f6380ad38506aa80863b2dea176d32a4b38f..74c970de46cf3d2496888c3c972d86ae3fff1023 100644 (file)
@@ -51,29 +51,37 @@ will be partial functions with domains respectively [P, P', Q, Q'] and
 %\end{convention}%
 *)
 
-alias id "a" = "cic:/CoRN/ftc/Derivative/Definitions/a.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Definitions/a.var
+*)
 
-alias id "b" = "cic:/CoRN/ftc/Derivative/Definitions/b.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Definitions/b.var
+*)
 
-alias id "Hab'" = "cic:/CoRN/ftc/Derivative/Definitions/Hab'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Definitions/Hab'.var
+*)
 
 (* begin hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Definitions/Hab.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/Derivative/Definitions/Hab.con" "Definitions__" as definition.
 
-inline procedural "cic:/CoRN/ftc/Derivative/Definitions/I.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/Derivative/Definitions/I.con" "Definitions__" as definition.
 
 (* end hide *)
 
-alias id "F" = "cic:/CoRN/ftc/Derivative/Definitions/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Definitions/F.var
+*)
 
 (* begin hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Definitions/P.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/Derivative/Definitions/P.con" "Definitions__" as definition.
 
 (* end hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I.con".
+inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I.con" as definition.
 
 (* UNEXPORTED
 End Definitions
@@ -90,17 +98,23 @@ Section Basic_Properties
 (*#* **Basic Properties
 *)
 
-alias id "a" = "cic:/CoRN/ftc/Derivative/Basic_Properties/a.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/a.var
+*)
 
-alias id "b" = "cic:/CoRN/ftc/Derivative/Basic_Properties/b.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/b.var
+*)
 
-alias id "Hab'" = "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab'.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/Hab'.var
+*)
 
 (* begin hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab.con" "Basic_Properties__" as definition.
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/I.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/I.con" "Basic_Properties__" as definition.
 
 (* end hide *)
 
@@ -108,7 +122,7 @@ inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/I.con" "Basic_Prope
 Like we did for equality, we begin by stating a lemma that makes proofs of derivation easier in practice.
 *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_char.con".
+inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_char.con" as lemma.
 
 (* end hide *)
 
@@ -116,29 +130,35 @@ inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_char.con".
 Derivative is a well defined relation; we will make this explicit for both arguments:
 *)
 
-alias id "F" = "cic:/CoRN/ftc/Derivative/Basic_Properties/F.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/F.var
+*)
 
-alias id "G" = "cic:/CoRN/ftc/Derivative/Basic_Properties/G.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/G.var
+*)
 
-alias id "H" = "cic:/CoRN/ftc/Derivative/Basic_Properties/H.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/H.var
+*)
 
 (* begin hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/P.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/P.con" "Basic_Properties__" as definition.
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Q.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Q.con" "Basic_Properties__" as definition.
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/R.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/R.con" "Basic_Properties__" as definition.
 
 (* end hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_wdl.con".
+inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_wdl.con" as lemma.
 
-inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_wdr.con".
+inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_wdr.con" as lemma.
 
 (* begin hide *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Derivative_I_unique_lemma.con" "Basic_Properties__".
+inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Derivative_I_unique_lemma.con" "Basic_Properties__" as definition.
 
 (* end hide *)
 
@@ -146,25 +166,27 @@ inline procedural "cic:/CoRN/ftc/Derivative/Basic_Properties/Derivative_I_unique
 Derivative is unique.
 *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_unique.con".
+inline procedural "cic:/CoRN/ftc/Derivative/Derivative_I_unique.con" as lemma.
 
 (*#*
 Finally, the set where we are considering the relation is included in the domain of both functions.
 *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/derivative_imp_inc.con".
+inline procedural "cic:/CoRN/ftc/Derivative/derivative_imp_inc.con" as lemma.
 
-inline procedural "cic:/CoRN/ftc/Derivative/derivative_imp_inc'.con".
+inline procedural "cic:/CoRN/ftc/Derivative/derivative_imp_inc'.con" as lemma.
 
 (*#*
 Any function that is or has a derivative is continuous.
 *)
 
-alias id "Hab''" = "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab''.var".
+(* UNEXPORTED
+cic:/CoRN/ftc/Derivative/Basic_Properties/Hab''.var
+*)
 
-inline procedural "cic:/CoRN/ftc/Derivative/deriv_imp_contin'_I.con".
+inline procedural "cic:/CoRN/ftc/Derivative/deriv_imp_contin'_I.con" as lemma.
 
-inline procedural "cic:/CoRN/ftc/Derivative/deriv_imp_contin_I.con".
+inline procedural "cic:/CoRN/ftc/Derivative/deriv_imp_contin_I.con" as lemma.
 
 (* UNEXPORTED
 End Basic_Properties
@@ -174,5 +196,5 @@ End Basic_Properties
 If [G] is the derivative of [F] in a given interval, then [G] is also the derivative of [F] in any smaller interval.
 *)
 
-inline procedural "cic:/CoRN/ftc/Derivative/included_imp_deriv.con".
+inline procedural "cic:/CoRN/ftc/Derivative/included_imp_deriv.con" as lemma.