Section TRANSLATION.
Variable prog: Csharpminor.program.
Variable tprog: Cminor.program.
Hypothesis TRANSL: transl_program prog = OK tprog.
Let ge : Csharpminor.genv := Genv.globalenv prog.
(*Let gce : compilenv := build_global_compilenv prog.*)
Let tge: genv := Genv.globalenv tprog.
Let core_data := CSharpMin_core.
(*Lenb -- meminj_preserves_globales is new, and needed since this property is now required by the simulation realtions, rather than only at/efterexternal clauses*)
Inductive match_cores: core_data -> meminj -> CSharpMin_core -> mem -> CMin_core -> mem -> Prop :=
| MC_states:
forall d fn s k e le m tfn ts tk sp te tm cenv xenv j lo hi cs sz
(TRF: transl_funbody cenv sz fn = OK tfn)
(TR: transl_stmt cenv xenv s = OK ts)
(MINJ: Mem.inject j m tm)
(MCS: match_callstack prog j m tm
(Frame cenv tfn e le te sp lo hi :: cs)
(Mem.nextblock m) (Mem.nextblock tm))
(MK: match_cont k tk  cenv xenv cs)
(PG: meminj_preserves_globals ge j),
match_cores d j (CSharpMin_State fn s k e le) m
(CMin_State tfn ts tk (Vptr sp Int.zero) te) tm
| MC_state_seq:
forall d fn s1 s2 k e le m tfn ts1 tk sp te tm cenv xenv j lo hi cs sz
(TRF: transl_funbody cenv sz fn = OK tfn)
(TR: transl_stmt cenv xenv s1 = OK ts1)
(MINJ: Mem.inject j m tm)
(MCS: match_callstack prog j m tm
(Frame cenv tfn e le te sp lo hi :: cs)
(Mem.nextblock m) (Mem.nextblock tm))
(MK: match_cont (Csharpminor.Kseq s2 k) tk cenv xenv cs)
(PG: meminj_preserves_globals ge j),
match_cores d j (CSharpMin_State fn (Csharpminor.Sseq s1 s2) k e le) m
(CMin_State tfn ts1 tk (Vptr sp Int.zero) te) tm
| MC_callstate:
forall d fd args k m tfd targs tk tm j cs cenv
(TR: transl_fundef fd = OK tfd)
(MINJ: Mem.inject j m tm)
(MCS: match_callstack prog j m tm cs (Mem.nextblock m) (Mem.nextblock tm))
(MK: match_cont k tk cenv nil cs)
(ISCC: Csharpminor.is_call_cont k)
(ARGSINJ: val_list_inject j args targs)
(PG: meminj_preserves_globals ge j),
match_cores d j (CSharpMin_Callstate fd args k) m
(CMin_Callstate tfd targs tk) tm
| MC_returnstate:
forall d v k m tv tk tm j cs cenv
(MINJ: Mem.inject j m tm)
(MCS: match_callstack prog j m tm cs (Mem.nextblock m) (Mem.nextblock tm))
(MK: match_cont k tk cenv nil cs)
(RESINJ: val_inject j v tv)
(PG: meminj_preserves_globals ge j),
match_cores d j (CSharpMin_Returnstate v k) m
(CMin_Returnstate tv tk) tm.
(*--------------------------------------------------------------------*)

Lemma MC_after_external:forall (d : core_data) (j j' : meminj) (st1 : core_data) (st2 : CMin_core)
(m1 : mem) (e : external_function) (vals1 : list val) (ret1 : val)
(m1' m2 m2' : mem) (ret2 : val) (sig : signature),
d = st1 /\ match_cores d j st1 m1 st2 m2 ->
at_external CSharpMin_core_sem st1 = Some (e, sig, vals1) ->
Events.meminj_preserves_globals ge j ->
inject_incr j j' ->
Events.inject_separated j j' m1 m2 ->
Mem.inject j' m1' m2' ->
val_inject j' ret1 ret2 ->
mem_forward m1 m1' ->
Mem.unchanged_on (Events.loc_unmapped j) m1 m1' ->
mem_forward m2 m2' ->
Mem.unchanged_on (Events.loc_out_of_reach j m1) m2 m2' ->
exists st1' : core_data,
exists st2' : CMin_core,
exists d' : core_data,
after_external CSharpMin_core_sem (Some ret1) st1 = Some st1' /\
after_external CMin_core_sem (Some ret2) st2 = Some st2' /\
d' = st1' /\ match_cores d' j' st1' m1' st2' m2'.