Local Open Scope logic.
Ltac unfold_for_go_lower :=
cbv delta [PROPx LOCALx SEPx locald_denote
eval_exprlist eval_expr eval_lvalue cast_expropt
eval_binop eval_unop force_val1 force_val2
msubst_tc_expropt msubst_tc_expr msubst_tc_exprlist msubst_tc_lvalue msubst_tc_LR (* msubst_tc_LR_strong *) msubst_tc_efield msubst_simpl_tc_assert
function_body_ret_assert frame_ret_assert
make_args' bind_ret get_result1 retval
classify_cast
(* force_val sem_cast_neutral ... NOT THESE TWO!  *)
denote_tc_assert (* tc_andp tc_iszero *)
liftx LiftEnviron Tarrow Tend lift_S lift_T
lift_prod lift_last lifted lift_uncurry_open lift_curry
local lift lift0 lift1 lift2 lift3
] beta iota.
Ltac go_lower0 :=
intros ?rho;
try (simple apply grab_tc_environ; intro);
repeat (progress unfold_for_go_lower; simpl).
Ltac old_go_lower :=
go_lower0;
autorewrite with go_lower;
try findvars;
simpl;
autorewrite with go_lower;
try match goal with H: tc_environ _ ?rho |- _ => clear H rho end.
Hint Rewrite eval_id_same : go_lower.
Hint Rewrite eval_id_other using solve [clear; intro Hx; inversion Hx] : go_lower.
(*Hint Rewrite Vint_inj' : go_lower.*)
(*** New go_lower stuff ****)

Lemma lower_one_gvars:
forall  rho Delta P gv Q R S,
((forall i t, (glob_types Delta) ! i = Some t -> headptr (gv i)) -> gvars_denote gv rho ->
(local (tc_environ Delta) && PROPx P (LOCALx Q (SEPx R))) rho |-- S) ->
(local (tc_environ Delta) && PROPx P (LOCALx (gvars gv :: Q) (SEPx R))) rho |-- S.