Introduction to Category Theory/Sets and Functions - Wikiversity: "For every set X and every two functions {\displaystyle f_{1},f_{2}:X\to Y} the following holds: {\displaystyle g\circ f_{1}=g\circ f_{2}} if and only if {\displaystyle f_{1}=f_{2}} . In this case, the function g is called monic."
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