Notation Zpower_1_r := Z.pow_1_r (only parsing).Notation Zpower_1_l := Z.pow_1_l (only parsing).Notation Zpower_0_l := Z.pow_0_l' (only parsing).Notation Zpower_0_r := Z.pow_0_r (only parsing).Notation Zpower_2 := Z.pow_2_r (only parsing).Notation Zpower_gt_0 := Z.pow_pos_nonneg (only parsing).Notation Zpower_ge_0 := Z.pow_nonneg (only parsing).Notation Zpower_Zabs := Z.abs_pow (only parsing).Notation Zpower_Zsucc := Z.pow_succ_r (only parsing).Notation Zpower_mult := Z.pow_mul_r (only parsing).Notation Zpower_le_monotone2 := Z.pow_le_mono_r (only parsing).

Lemma Zpower_le_monotone_inv a b c : 1 < a -> 0 < b -> a^b <= a^c -> b <= c.