A constructive proof of Skolem theorem for constructive logic

05/17/2023

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by   Gilles Dowek, et al.

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If the sequent (Gamma entails forall x exists y A) is provable in first order constructive natural deduction, then the theory (Gamma, forall x (f (x)/y)A), where f is a new function symbol, is a conservative extension of Gamma.