What does generalized element mean?

generalized element

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Frequency: Zipf frequency 3.39 in modern English

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noun

"Thinking of x#92;in#95;AB as a generalized element, for any f#58;B#92;rightarrowC, we may write f(x) for the composite f#92;circx. In this notation the first domain–codomain axiom reads as follows: for any x#92;in#95;AB and f#58;B#92;rightarrowC there is a well-defined f(x)#92;in#95;AC; that is, at each stage A, f takes A-elements of B to A-elements of C."

generalized elements (plural)

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