Inductive Sfor_inv {cs: compspecs} (Delta: tycontext):
  forall (_i: ident) (m: Z) (hi: expr) (n: Z)
         (assert_callee: Z -> environ -> mpred)
         (inv0: environ -> mpred)
         (inv1 inv2: Z -> environ -> mpred), Prop :=
| construct_Sfor_inv: forall _i m hi n assert_callee inv0 inv1,
    (forall i i', exists inv0' inv0'' inv1' inv1'', Sfor_inv_rec Delta _i i' m hi n (assert_callee i) inv0'' inv1'' /\ inv0' i' = inv0'' /\ inv0 i = inv0' /\ inv1' i' = inv1'' /\ inv1 i = inv1') ->
    Sfor_inv Delta _i m hi n assert_callee (EX i: Z, inv0 i i) (fun i => inv1 i i) (fun i => inv1 (i+1) i).Inductive Sfor_inv {cs: compspecs} (Delta: tycontext):
  forall (_i: ident) (m: Z) (hi: expr) (n: Z)
         (assert_callee: Z -> environ -> mpred)
         (inv0: environ -> mpred)
         (inv1 inv2: Z -> environ -> mpred), Prop :=
| construct_Sfor_inv: forall _i m hi n assert_callee inv0 inv1,
    (forall i i', exists inv0' inv0'' inv1' inv1'', Sfor_inv_rec Delta _i i' m hi n (assert_callee i) inv0'' inv1'' /\ inv0' i' = inv0'' /\ inv0 i = inv0' /\ inv1' i' = inv1'' /\ inv1 i = inv1') ->
    Sfor_inv Delta _i m hi n assert_callee (EX i: Z, inv0 i i) (fun i => inv1 i i) (fun i => inv1 (i+1) i).

Lemma typed_false_tint_e: forall v, typed_false tint v -> v = Vint Int.zero.