Proof
(eval_exprlist_ind3 ge sp e m
transl_expr_prop
transl_exprlist_prop
transl_condexpr_prop
transl_expr_Evar_correct
transl_expr_Eop_correct
transl_expr_Eload_correct
transl_expr_Econdition_correct
transl_expr_Elet_correct
transl_expr_Eletvar_correct
transl_expr_Ebuiltin_correct
transl_expr_Eexternal_correct
transl_exprlist_Enil_correct
transl_exprlist_Econs_correct
transl_condexpr_CEcond_correct
transl_condexpr_CEcondition_correct
transl_condexpr_CElet_correct).

Theorem transl_condexpr_correct:
forall le a v,
eval_condexpr ge sp e m le a v ->
transl_condexpr_prop le a v.