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1)Translate all the definitions needed to derive the conclusion into propositional formulas (i.e., premises) 2)Derive your...

1)Translate all the definitions needed to derive the conclusion into propositional formulas (i.e., premises)

2)Derive your proof for S using natural deduction with the premises.

S: there exist irrational numbers a and b such that a^b is rational

A: √2 is rational

B: √2^√2 is rational

C: √2^√2*√2 is rational

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