Function COMPOSITION


Slots on this function:

Documentation:
The composition of binary relations R_1 and R_2 is a relation R_3 such that R_1(x,y) and R_2(y,z) implies R_3(x,z).
Instance-Of: Function
Arity: 3

Axioms:

(Nth-Domain Composition 3 Binary-Relation)

(Nth-Domain Composition 2 Binary-Relation)

(Nth-Domain Composition 1 Binary-Relation)


Other Related Axioms:

(<- (Composition ?R1 ?R2)
    (If (And (Binary-Relation ?R1) (Binary-Relation ?R2))
        (Setofall (Listof ?X ?Z)
                  (Exists (?Y)
                          (And (Holds ?R1 ?X ?Y) (Holds ?R2 ?Y ?Z))))))