Section sss_terminates_ind.
Variable (P : code) (R : state -> Prop).
Hypothesis (HR0 : forall st, out_code (fst st) P -> R st)
(HR1 : forall st1, (forall Q st2, Q <sc P -> Q // st1 -+> st2 -> P // st2 ↓ -> R st2) -> R st1).

Theorem sss_terminates_ind st : P // st ↓ -> R st.