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

(* Specifications: *)
Lemma sound_sepcon_emp {USA: UnitalSeparationAlgebra (Kworlds M)}:
forall x: expr,
forall m, KRIPKE: M, m |= x * emp <--> x.
Lemma sound_emp_sepcon_elim1 {ISSSA: IncreasingSplitSmallerSeparationAlgebra (Kworlds M)}:
forall x y: expr,
forall m, KRIPKE: M, m |= x * y && emp --> x.
Lemma sound_emp_dup {IJSSA: IncreasingJoinSelfSeparationAlgebra (Kworlds M)}:
forall x y: expr,
forall m, KRIPKE: M, m |= x && emp --> x * x.