A.3.4:5.4 - Formal construction

A proof constructs a formal object and shows that a morphism preserves an invariant. Result: the proof supplies a formal object and an invariant-preservation claim. To establish one formal transformation within the declared substrate, identify a continuing formal subject under its identity rule and the actual differing facts across the ordered boundary. The proof term and morphism expression are representations; publishing the proof is another relation. If a later claim says that dated work realized the transformation, apply the routes and stops in 4.2.4 to the named pair.