Relation MINIMUM-VALUE-CARDINALITY

Minimum value cardinality is a constraint on the number of values to which a binary relation can map a domain instance. It implies the existence of at least N values for a given relation on an instance.
Arity: 3
Axioms:
(Nth-Domain Minimum-Value-Cardinality 3 Nonnegative-Integer)

(Nth-Domain Minimum-Value-Cardinality 2 Binary-Relation)

(<=> (Minimum-Value-Cardinality ?Instance ?Binary-Relation ?N)
     (And (Binary-Relation ?Binary-Relation)
          (Nonnegative-Integer ?N)
          (>= (Value-Cardinality ?Instance ?Binary-Relation) ?N)))

Notes: