Question: Prove that for a function f mapping A to B, f : A B, the cardinality if B must be at least as great as

Prove that for a function f mapping A to B, f : A B, the cardinality if B must be at least as great as the cardinality of A for f to be invertible, i.e. for some, not all, functions f, there is an inverse function f-1 : B s.t. a Or cardinality of B is less than A
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