From compcert Require Export Clightdefs.
Require Export VST.veric.SeparationLogic.
Require Export VST.msl.Extensionality.
Require Export compcert.lib.Coqlib.
Require Export VST.msl.Coqlib2 VST.veric.coqlib4 VST.floyd.coqlib3.
Local Open Scope logic.
Ltac _destruct_var_types i Heq_vt Heq_ve t b ::=
let HH := fresh "H" in
match goal with
| H: typecheck_var_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_var_types___instead _ _ H i as HH
| H: typecheck_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_var_types___instead _ _ (proj1 (proj2 H)) i as HH
| H: tc_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_var_types___instead _ _ (proj1 (proj2 H)) i as HH
end;
match type of HH with
| match ?o with _ => _ end =>
match goal with
| H: o = Some _ |- _ =>
rewrite H in HH
| H: Some _ = o |- _ =>
rewrite <- H in HH
| H: o = None |- _ =>
rewrite H in HH
| H: None = o |- _ =>
rewrite <- H in HH
| _ =>
let HH' := fresh "H" in
pose proof eq_refl o as HH';
destruct o as [t |] in HH, HH' at 2;
pose proof HH' as Heq_vt; clear HH'
end
end;
match type of HH with
| ex _ =>
pose proof HH as [b Heq_ve]
| _ =>
pose proof HH as Heq_ve
end;
clear HH.
Ltac _destruct_glob_types i Heq_gt Heq_ge t b ::=
let HH := fresh "H" in
match goal with
| H: typecheck_glob_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_glob_types___instead _ _ H i as HH
| H: typecheck_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_glob_types___instead _ _ (proj2 (proj2 H)) i as HH
| H: tc_environ _ _ |- _ =>
pose proof WARNING___________you_should_use_tactic___destruct_glob_types___instead _ _ (proj2 (proj2 H)) i as HH
end;
match type of HH with
| match ?o with _ => _ end =>
match goal with
| H: o = Some _ |- _ =>
rewrite H in HH
| H: Some _ = o |- _ =>
rewrite <- H in HH
| H: o = None |- _ =>
rewrite H in HH
| H: None = o |- _ =>
rewrite <- H in HH
| _ =>
let HH' := fresh "H" in
pose proof eq_refl o as HH';
destruct o as [t |] in HH, HH' at 2;
pose proof HH' as Heq_gt; clear HH'
end
end;
match type of HH with
| ex _ =>
pose proof HH as [b Heq_ge]
| _ =>
idtac
end;
clear HH.
(* no "semax" in this file, just assertions. *)
Global Transparent Int.repr.
Global Transparent Ptrofs.repr.
Definition loop1x_ret_assert (Inv : environ -> mpred) (R : ret_assert) :=
{| RA_normal := Inv; RA_break := FF; RA_continue := Inv; RA_return := R.(RA_return) |}.

(* Specifications: *)
Lemma loop1x_ret_assert_EK_normal:
forall Inv R, RA_normal (loop1x_ret_assert Inv R) = Inv.
Lemma frame_normal:
forall P F,
frame_ret_assert (normal_ret_assert P) F = normal_ret_assert (P * F).
Lemma frame_for1:
forall Q R F,
frame_ret_assert (loop1_ret_assert Q R) F =
loop1_ret_assert (Q * F) (frame_ret_assert R F).
Lemma frame_loop1:
forall Q R F,
frame_ret_assert (loop2_ret_assert Q R) F =
loop2_ret_assert (Q * F) (frame_ret_assert R F).