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    Injective Function

    Alternate name
    Definition

    Let f(x) be a function. If f(x) never takes on the same value twice, then f(x) is a one-to-one function. More explicitly, f(x) is one-to-one if f(x_1) = f(x_2) implies x_1 = x_2.

    Details

    function

    inverse function theorem

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