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Suppose $A$ and $B$ are two infinite sets and cardinality of $B$ is strictly greater than cardinality of $A$.

To prove this strictly gretater than relation between two sets, is it sufficient to only show that there exists no surjective function from $A$ to $B$, or in addition to this, one must also show that there exists a surjection from $B$ to $A$, for proof to be valid.

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