(** We provide a tactic converting from one style to the other. *)
(** Similarly, the boolean comparisons [ltb] and [leb] are favored over their dual [gtb] and [geb]. We prove here the equivalence and a few minimal results. *)

(** * Comparison and addition *)
Lemma add_compare_mono_l n m p : (n + m ?= n + p) = (m ?= p).