Set of Mappings can be Ordered by Subset Relation

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Theorem

Let $S \times T$ be the product of two sets.

Let $\FF$ be a set of mappings on $S \times T$.


Then $\FF$ can be ordered by the subset relation.


Proof

By the definition of mapping, a mapping is a specific type of relation.

The result then follows from Set of Relations can be Ordered by Subset Relation.

$\blacksquare$