Definition Clight_init_state (p: Clight.program):=
    Clight.start_stack (Clight.globalenv p).Definition Asm_init_state (p: Asm.program):=
    Asm.start_stack (@the_ge p).Notation valid Sem:=
    (valid dryResources Sem OrdinalPool.OrdinalThreadPool).Definition opt_init_mem_source (p : Clight.program):=
      (Genv.init_mem (Ctypes.program_of_program p)).Definition opt_init_mem_target {F V} (tp:AST.program F V ):=
    (Genv.init_mem tp).

Lemma csafety_step: forall (p : Clight.program) (tp : Asm.program) (asm_genv_safety : Asm_core.safe_genv the_ge), let SemSource:= (ClightSemanticsForMachines.ClightSem (Clight.globalenv p)) in let SemTarget:= @X86Sem tp asm_genv_safety in forall (U : schedule) (init_mem_source' : Memory.Mem.mem) (j : Values.Val.meminj) (c : Asm.state) (C_source : OrdinalPool.t(Sem:=SemSource)) (C_target : OrdinalPool.t) tr (SIM : HybridMachine_simulation (ClightConcurSem (opt_init_mem_source p)) (AsmConcurSem (opt_init_mem_target tp))) (cd : index SIM), match_state SIM cd j C_source init_mem_source' C_target (Asm.get_mem c) -> (forall (n : nat) U, (valid SemSource) (tr, C_source, init_mem_source') U -> HybridCoarseMachine.csafe(Sem:=SemSource) (resources:=HybridMachine.DryHybridMachine.dryResources) (ThreadPool:= threadPool.OrdinalPool.OrdinalThreadPool(Sem:=SemSource)) (machineSig:= HybridMachine.DryHybridMachine.DryHybridMachineSig) (U, tr, C_source) init_mem_source' n) -> forall (n : nat) U , (valid SemTarget) (tr, C_target, Asm.get_mem c) U -> HybridCoarseMachine.csafe (Sem:=SemTarget) (resources:=HybridMachine.DryHybridMachine.dryResources) (ThreadPool:= threadPool.OrdinalPool.OrdinalThreadPool(Sem:=SemTarget)) (machineSig:= HybridMachine.DryHybridMachine.DryHybridMachineSig) (U, tr, C_target) (Asm.get_mem c) n.