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Consider a choice structure (X, B, C) where B = {{x, y, z}, {x, y}} and C({x, y}) = {x}. Suppose C satisfies WARP. Show

Consider a choice structure (X, B, C) where B = {{x, y, z}, {x, y}} and C({x, y}) = {x}. Suppose C satisfies WARP. Show that either C({x, y, z} equals {x}, or {z}, or {x, z}.

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