proposition: Lemma one_lt_pow2: forall n, 1 < pow2 (S n).
proof: Proof. intros. induction n. simpl; lia. remember (S n); simpl. lia. Qed.
imports: Coq.Classes.Morphisms Coq.Classes.Morphisms_Prop Coq.Bool.Bool Coq.Arith.Arith Coq.micromega.Lia Coq.NArith.NArith Coq.ZArith.ZArith bbv.N_Z_nat_conversions bbv.Nomega