proposition: Lemma iP'_spec rho' t d : rho' t = d -> rho' ⊨ P' t <-> iP' d.
proof: Proof. unfold P',iP'. intros H. cbn [sat]. unfold not. erewrite iN_spec. 1:easy. easy. Qed.
imports: Undecidability.DiophantineConstraints(H10C) Undecidability.DiophantineConstraints.Util(H10UPC_facts) Undecidability.FOL(Syntax.Facts Deduction.FullNDFacts Semantics.Tarski.FullSoundness Semantics.Tarski.FullFacts Syntax.BinSig) Undecidability.Shared(Dec) Undecidability.Shared.Libs.PSL(Numbers) Coq(Arith Lia List) Undecidability.Synthetic.Definitions