Section CompileNThreads.
Definition nth_index:= (list (option compiler_index)).
Definition list_lt: nth_index -> nth_index -> Prop:=
list_ord (opt_rel' (InjorderX compiler_sim)).
Local Ltac subst_sig:=
match goal with
H': existT _ _ _ = existT _ _ _ |- _ =>
eapply Eqdep.EqdepTheory.inj_pair2 in H'; subst
end.
Local Ltac inv_match0:=
match goal with
H: match_state 0 _ _ _ _ _ _ |- _ =>
inversion H; subst_sig; try clear H
end.
Admitted.

Lemma list_inject_mevent_interpolation:
forall jn jSn tr1 tr3,
Forall2 (inject_mevent (compose_meminj jn jSn)) tr1 tr3 ->
exists tr2,
Forall2 (inject_mevent jn) tr1 tr2 /\
Forall2 (inject_mevent jSn) tr2 tr3 .