 An order complete, regularly ordered vector lattice whose canonical image in its order bidual is order complete is called minimal and is said to be of minimal type.If "M" is a vector subspace of a preordered vector space "X" then the canonical ordering on "M" induced by "X"'s positive cone "C" is the preorder induced by the pointed convex cone "C" ∩ "M", where this cone is proper if "C" is proper (i.e.if ("C"∩-"C"=∅).