Monoid package:Agda
Partially ordered monoids.
Completing POMonoids with inverses to form a Galois connection.
Law: composition and inverse composition form a Galois connection.
related (inverseCompose p x) POLE y == related x POLE (p <> y)
Partially ordered monoid.
Law: composition must be monotone.
related x POLE x' && related y POLE y' ==>
related (x <> y) POLE (x' <> y')