English
If f is antitone on a linear pred order, the Ico (f n) (f (pred n)) sets are pairwise disjoint.
Русский
Если f антитонна на линейном предпорядке, интервалы Ico (f n) (f (pred n)) попарно непересекаются.
LaTeX
$$PairwiseDisjoint( { Ico (f n) (f (pred n)) } )$$
Lean4
/-- A successor pre-limit is a value that doesn't cover any other.
It's so named because in a successor order, a successor pre-limit can't be the successor of anything
smaller.
Use `IsSuccLimit` if you want to exclude the case of a minimal element. -/
def IsSuccPrelimit (a : α) : Prop :=
∀ b, ¬b ⋖ a