setoid function from [S1] to [S2], and [g] from [S2]
to [S3] in the following definition of composition. *)
-inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S1.var" "unary_function_composition__".
+alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S1.var".
-inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S2.var" "unary_function_composition__".
+alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S2.var".
-inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S3.var" "unary_function_composition__".
+alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S3.var".
-inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/f.var" "unary_function_composition__".
+alias id "f" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/f.var".
-inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/g.var" "unary_function_composition__".
+alias id "g" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/g.var".
inline "cic:/CoRN/algebra/CSetoidFun/compose_CSetoid_fun.con".
Section BinProj
*)
-inline "cic:/CoRN/algebra/CSetoidFun/BinProj/S.var" "BinProj__".
+alias id "S" = "cic:/CoRN/algebra/CSetoidFun/BinProj/S.var".
inline "cic:/CoRN/algebra/CSetoidFun/binproj1.con".
Section CombiningOperations
*)
-inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S1.var" "CombiningOperations__".
+alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S1.var".
-inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S2.var" "CombiningOperations__".
+alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S2.var".
-inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S3.var" "CombiningOperations__".
+alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S3.var".
(*#*
In the following definition, we assume [f] is a setoid function from
Section CombiningUnaryOperations
*)
-inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/f.var" "CombiningOperations__CombiningUnaryOperations__".
+alias id "f" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/f.var".
-inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/op.var" "CombiningOperations__CombiningUnaryOperations__".
+alias id "op" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/op.var".
inline "cic:/CoRN/algebra/CSetoidFun/opOnFun.con".
%\end{convention}%
*)
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/S.var" "SubSets_of_G__".
+alias id "S" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/S.var".
(* UNEXPORTED
Section Conjunction
*)
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/P.var" "SubSets_of_G__Conjunction__".
+alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/P.var".
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/Q.var" "SubSets_of_G__Conjunction__".
+alias id "Q" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/Q.var".
inline "cic:/CoRN/algebra/CSetoidFun/conjP.con".
Section Disjunction
*)
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/P.var" "SubSets_of_G__Disjunction__".
+alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/P.var".
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/Q.var" "SubSets_of_G__Disjunction__".
+alias id "Q" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/Q.var".
(*#*
Although at this stage we never use it, for completeness's sake we also treat disjunction (corresponding to union of subsets).
The next definition is a bit tricky, and is useful for choosing among the elements that satisfy a predicate [P] those that also satisfy [R] in the case where [R] is only defined for elements satisfying [P]---consider [R] to be a condition on the image of an object via a function with domain [P]. We chose to call this operation [extension].
*)
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/P.var" "SubSets_of_G__Extension__".
+alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/P.var".
-inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/R.var" "SubSets_of_G__Extension__".
+alias id "R" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/R.var".
inline "cic:/CoRN/algebra/CSetoidFun/extend.con".
Section CSetoid_Ops
*)
-inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/S.var" "CSetoid_Ops__".
+alias id "S" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/S.var".
(*#*
To begin with, we want to be able to ``see'' each total function as a partial function.
%\end{convention}%
*)
-inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Const/c.var" "CSetoid_Ops__Part_Function_Const__".
+alias id "c" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Const/c.var".
inline "cic:/CoRN/algebra/CSetoidFun/Fconst.con".
Section Part_Function_Composition
*)
-inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/G.var" "CSetoid_Ops__Part_Function_Composition__".
+alias id "G" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/G.var".
-inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/F.var" "CSetoid_Ops__Part_Function_Composition__".
+alias id "F" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/F.var".
(* begin hide *)
Section BinPart_Function_Composition
*)
-inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S1.var" "BinPart_Function_Composition__".
+alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S1.var".
-inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S2.var" "BinPart_Function_Composition__".
+alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S2.var".
-inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S3.var" "BinPart_Function_Composition__".
+alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S3.var".
-inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/G.var" "BinPart_Function_Composition__".
+alias id "G" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/G.var".
-inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/F.var" "BinPart_Function_Composition__".
+alias id "F" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/F.var".
(* begin hide *)