Relation ALL=


Slots on this relation:

Documentation:
?SET is a set of fluents. They all have the same value at the given ?TIME.
Instance-Of: Relation
Arity: 2
Range: Set

Equivalence Axioms:

(<=> (All= ?Time ?Set)
     (Forall (?E1 ?E2)
             (=> (And (Member ?E1 ?Set) (Member ?E2 ?Set))
                 (= (Value-At ?E1 ?Time) (Value-At ?E2 ?Time)))))


Other Related Axioms:

(=> (All= $X $Y) (Set $Y))

(<=> (All= ?Time ?Set)
     (Forall (?E1 ?E2)
             (=> (And (Member ?E1 ?Set) (Member ?E2 ?Set))
                 (= (Value-At ?E1 ?Time) (Value-At ?E2 ?Time)))))