Theorem bigstep_cstrategy_preservation: forall p tp, transf_c_program p = OK tp -> (forall t r, Cstrategy.bigstep_program_terminates p t r -> program_behaves (Asm.semantics tp) (Terminates t r)) /\(forall T, Cstrategy.bigstep_program_diverges p T -> program_behaves (Asm.semantics tp) (Reacts T) \/ exists t, program_behaves (Asm.semantics tp) (Diverges t) /\ traceinf_prefix t T).