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Let A,B, and C be finite sets and f:AB and g:Im(f)C be functions such that g is a bijection. Bob claims A=C if and only

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Let A,B, and C be finite sets and f:AB and g:Im(f)C be functions such that g is a bijection. Bob claims A=C if and only if f is an injection. For each direction ( and ), either prove or disprove the student's claim

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