Structure isomorphism
= Structure isomorphism
= Isomorphism of structures
{synonym}
= Isomorphic structures
{synonym}
A structure isomorphism is a bijective <structure embedding>: it preserves constants and functions, and both preserves and reflects relations. Its inverse has the same properties. It therefore preserves truth of every <first-order formula>, by <structural induction>, so it preserves realization and omission of parameter-free types.