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    Equivalent Paths

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    Let f,g ; I-->X be two paths with initial point x0 and terminal point x1.
    Prove that f g iff f g-bar is equivalent to the constant path at x0 .
    Note: the path g-bar is obtained by traversing the path g in the opposite direction.

    See the attached file.

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    Solution Summary

    Equivalent paths are investigated in the solution.