Result stated and proved in the source manuscript; website restatementfusion-reconstruction
Statement
Two Hilbert reconstruction systems can have identical source filtrations, reconstruction increments, and mixed-incidence maps, while one joint totalization is bounded and the other is nonclosable.
Meaning and scope
Retaining coordinates orthogonally gives the identity on ; adding them into one scalar gives nonclosable summation. Incidence alone does not determine analytic survival.