Proof verification on properties of injectiveness and surjectiveness of functions – math.stackexchange.com

a) If $f: E \to F$ and $g: F \to E \ $ are functions such that $g \circ f$ is injective, then $f$ is injective b) If $f: E \to F$ and $g: F \to E \ $ are functions such that $g \circ f$ is ...

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