unfold G2_4, G2_5.
inline_first.
comp_irr_l.
wftac.
inline_first.
eapply comp_spec_eq_impl_eq.
comp_skip.
eapply (@oc_comp_spec_eq _ _ _ _ _ _ _ _ _ _ _ _ _ _ (fun a b => forall z, arrayLookup _ a (z, (F x z)) = arrayLookup _ b z)).
intuition.
intuition.
unfold randomFunc_mem.
rewrite H0.
case_eq ( arrayLookup (list_EqDec (Bvector_EqDec b)) x2 a); intuition.
eapply comp_spec_ret; intuition.
simpl in *.
unfold eqbPair.
simpl.
case_eq (eqb z a); intuition.
simpl.
rewrite eqb_leibniz in H3.
subst.
rewrite eqbBvector_complete.
trivial.
simpl.
eauto.
comp_skip.
apply (oneVector c).
apply (oneVector c).
eapply comp_spec_ret; intuition.
simpl.
unfold eqbPair.
simpl.
case_eq (eqb z a); intuition.
simpl.
rewrite eqb_leibniz in H5.
subst.
rewrite eqbBvector_complete.
trivial.
simpl.
trivial.
comp_simp.
simpl in *.
intuition; subst.
eapply comp_spec_eq_refl.
Qed.

Theorem G2_5_equiv :
Pr[G2_5] == Pr[G2].