Soundness of closed nominal proofs in models of the literal theory.
theorem
NFChoice.ReplaySupport.valid_closed_of_nominal_proof
(p : SemanticCore.Wff)
(closed : p.fv = ∅)
(proof : DirectNominalPrf.Nominal.NPrf p)
{S : Fol.Structure Foundation.LNF}
(hH : Fol.allRealizeSentence S Foundation.ExactLiteralTrial.LiteralHailperinNF)
:
Every closed nominal proof is valid in every literal Hailperin model.