Fixpoint denote_tc_assert_b_norho a:=
match a with
| tc_TT => true
| tc_andp' a b => andb (denote_tc_assert_b_norho a) (denote_tc_assert_b_norho b)
| tc_orp' a b => orb (denote_tc_assert_b_norho a) (denote_tc_assert_b_norho b)
| _ => false
end.
Fixpoint denote_tc_assert_b_norho_forgive_isptr a e:=
match a with
| tc_TT => true
| tc_andp' a b => andb (denote_tc_assert_b_norho_forgive_isptr a e)
(denote_tc_assert_b_norho_forgive_isptr b e)
| tc_orp' a b => orb (denote_tc_assert_b_norho_forgive_isptr a e)
(denote_tc_assert_b_norho_forgive_isptr b e)
| tc_isptr e0 => expr_beq e e0
| _ => false
end.

(* Specifications: *)
Lemma denote_tc_assert_b_norho_sound: forall a rho,
denote_tc_assert_b_norho a = true -> denote_tc_assert a rho.
Lemma denote_tc_assert_b_norho_forgive_isptr_sound: forall a e rho,
denote_tc_assert_b_norho_forgive_isptr a e = true ->
isptr (expr.eval_expr e rho) ->
denote_tc_assert a rho.