Order with successors is not interprétable in RCF

S. Świerczkowski · Fundamenta Mathematicae · 1993

Using the monotonicity theorem of L. van den Dries for RCF-definable real functions, and a further result of that author about RCF-definable equivalence relations on ℝ, we show that the theory of order with successors is not interpretable in the theory RC

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