A function differentiable in an interval is everywhere defined in that interval.
*)
-inline "cic:/CoRN/ftc/Differentiability/Local_Properties/a.var" "Local_Properties__".
+alias id "a" = "cic:/CoRN/ftc/Differentiability/Local_Properties/a.var".
-inline "cic:/CoRN/ftc/Differentiability/Local_Properties/b.var" "Local_Properties__".
+alias id "b" = "cic:/CoRN/ftc/Differentiability/Local_Properties/b.var".
-inline "cic:/CoRN/ftc/Differentiability/Local_Properties/Hab'.var" "Local_Properties__".
+alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Local_Properties/Hab'.var".
(* begin hide *)
All the algebraic results carry on.
*)
-inline "cic:/CoRN/ftc/Differentiability/Operations/a.var" "Operations__".
+alias id "a" = "cic:/CoRN/ftc/Differentiability/Operations/a.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/b.var" "Operations__".
+alias id "b" = "cic:/CoRN/ftc/Differentiability/Operations/b.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/Hab'.var" "Operations__".
+alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Operations/Hab'.var".
(* begin hide *)
Section Well_Definedness
*)
-inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/F.var" "Operations__Well_Definedness__".
+alias id "F" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/F.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/H.var" "Operations__Well_Definedness__".
+alias id "H" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/H.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/diffF.var" "Operations__Well_Definedness__".
+alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/diffF.var".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_wd.con".
End Well_Definedness
*)
-inline "cic:/CoRN/ftc/Differentiability/Operations/F.var" "Operations__".
+alias id "F" = "cic:/CoRN/ftc/Differentiability/Operations/F.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/G.var" "Operations__".
+alias id "G" = "cic:/CoRN/ftc/Differentiability/Operations/G.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/diffF.var" "Operations__".
+alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Operations/diffF.var".
-inline "cic:/CoRN/ftc/Differentiability/Operations/diffG.var" "Operations__".
+alias id "diffG" = "cic:/CoRN/ftc/Differentiability/Operations/diffG.var".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_plus.con".
(* begin show *)
-inline "cic:/CoRN/ftc/Differentiability/Operations/Gbnd.var" "Operations__".
+alias id "Gbnd" = "cic:/CoRN/ftc/Differentiability/Operations/Gbnd.var".
(* end show *)
Section Corollaries
*)
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/a.var" "Corollaries__".
+alias id "a" = "cic:/CoRN/ftc/Differentiability/Corollaries/a.var".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/b.var" "Corollaries__".
+alias id "b" = "cic:/CoRN/ftc/Differentiability/Corollaries/b.var".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/Hab'.var" "Corollaries__".
+alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Corollaries/Hab'.var".
(* begin hide *)
(* end hide *)
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/F.var" "Corollaries__".
+alias id "F" = "cic:/CoRN/ftc/Differentiability/Corollaries/F.var".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/G.var" "Corollaries__".
+alias id "G" = "cic:/CoRN/ftc/Differentiability/Corollaries/G.var".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/diffF.var" "Corollaries__".
+alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Corollaries/diffF.var".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/diffG.var" "Corollaries__".
+alias id "diffG" = "cic:/CoRN/ftc/Differentiability/Corollaries/diffG.var".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_minus.con".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_nth.con".
-inline "cic:/CoRN/ftc/Differentiability/Corollaries/Gbnd.var" "Corollaries__".
+alias id "Gbnd" = "cic:/CoRN/ftc/Differentiability/Corollaries/Gbnd.var".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_div.con".
induction using the constant and addition rules.
*)
-inline "cic:/CoRN/ftc/Differentiability/Other_Properties/a.var" "Other_Properties__".
+alias id "a" = "cic:/CoRN/ftc/Differentiability/Other_Properties/a.var".
-inline "cic:/CoRN/ftc/Differentiability/Other_Properties/b.var" "Other_Properties__".
+alias id "b" = "cic:/CoRN/ftc/Differentiability/Other_Properties/b.var".
-inline "cic:/CoRN/ftc/Differentiability/Other_Properties/Hab'.var" "Other_Properties__".
+alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Other_Properties/Hab'.var".
inline "cic:/CoRN/ftc/Differentiability/Diffble_I_Sum0.con".