Moreover, is a lattice isomorphism from onto the lattice of all clopen up-sets of.
2.
Given the standard definition of isomorphisms as invertible morphisms, a " lattice isomorphism " is just a bijective lattice homomorphism.
3.
The normality property is invariant under affine-lattice isomorphisms of lattice polytopes and the integrally closed property is invariant under an affine change of coordinates.