rewrite > H8
[ reflexivity
| assumption
- | autobatch
+ | apply andb_true_true; [2: apply H12]
]
| apply eqb_false_to_not_eq.
generalize in match H14.
rewrite < exp_plus_times.
apply eq_f.
rewrite > sym_plus.
- apply plus_minus_m_m.
- autobatch
+ apply plus_minus_m_m.
+ autobatch;
]
]
|intros.
[apply le_S_S_to_le.
change with ((i/S m) < S n).
apply (lt_times_to_lt_l m).
- apply (le_to_lt_to_lt ? i)
- [autobatch|assumption]
+ apply (le_to_lt_to_lt ? i);[2:assumption]
+ apply eq_plus_to_le;[2:autobatch]
|apply le_exp
[assumption
|apply le_S_S_to_le.