Definition semax_equiv {CS: compspecs} {Espec: OracleKind} c1 c2: Prop := forall Delta P Q, semax Delta P c1 Q <-> semax Delta P c2 Q.

Lemma semax_nocontinue_inv: forall CS Espec Delta Pre s Post Post', nocontinue s = true -> RA_normal Post = RA_normal Post' -> RA_break Post = RA_break Post' -> RA_return Post = RA_return Post' -> @semax CS Espec Delta Pre s Post -> @semax CS Espec Delta Pre s Post'.