intuition.
unfold G_hybrid, DistSingle_G, B1, B2.
inline_first.
comp_skip.
comp_simp.
eapply comp_spec_eq_impl_eq.
destruct (lt_dec i (length l)).
eapply comp_spec_eq_trans.
eapply comp_spec_seq_eq; eauto with inhabited.
eapply compMap_unroll_tl.
rewrite firstn_length.
eapply min_l.
omega.
intuition.
eapply comp_spec_eq_refl.
inline_first.
rewrite firstn_firstn.
comp_swap_r.
comp_skip.
inline_first.
rewrite nth_firstn.
comp_skip.
comp_skip.
rewrite <- app_assoc.
rewrite <- app_comm_cons.
simpl.
eapply comp_spec_eq_refl.
omega.
omega.
comp_irr_r.
repeat rewrite firstn_ge_all.
comp_skip.
comp_skip.
rewrite skipn_gt_nil in H3.
simpl in *.
intuition.
subst.
rewrite app_nil_r.
eapply comp_spec_eq_refl.
omega.
omega.
omega.
Qed.

Theorem hybrid_incr_close :
forall i,
| Pr[G_hybrid i] - Pr[G_hybrid (S i)] | == DistSingle_Adv c1 c2 (B1 i) B2.