Context {s'L: SeparationEmpLanguage L}
{eGamma: EmpSeparationLogic L Gamma}
{feSM: EmpSemantics L MD M SM}.

(* Specifications: *)
Lemma truth_lemma_emp
(AL_DC: at_least derivable_closed cP)
(LIN_CD: forall x, Lindenbaum_constructable (cannot_derive x) cP)
(LIN_SR: forall (Phi: context) (Psi: sig cP), Lindenbaum_constructable (context_sepcon_included_r Phi (proj1_sig Psi)) cP):
forall m Phi, rel m Phi -> (KRIPKE: M, m |= emp <-> proj1_sig Phi emp).