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Maximum-minimums identity

On the maximum element of a set of n numbers and minima of its 2^n − 1 non-empty subsets

en-GB/ˈmæksɪməm - ˈmɪnɪməmz aɪdɛntɪtiː/
en-US/ˈmæksəməm - ˈmɪnɪməmz aɪˈdɛntɪti/

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theorem