let IF be an ordered field, not necessarily complete. prove or disprove the following claims: A² = {a² | a € A} a) A² = A.A (A·B = {a.bla€ A, be B} b) if A is bounded above set, then A² is also bounded above. if A is bounded, then A² is also bounded. d) if s = max (A) is exists and A\ {s} + & then S = sup (A\ {s}). e) if s= sup (A) exists and SEA then s= max (A). f) if s = sup (A) exists and s&A then max (A) is not existing.

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