theorem · fr-4-theorem-8-2

Relation Reconstruction Certificate

Result stated and proved in the source manuscript; website restatement (draft) fusion-reconstruction

Statement

Let two closed decoders act on a common retained Hilbert space. Put their domain intersection in the common graph norm and let denote the resulting bounded decoders. If a retained graph lift is closable and on the finite core, then .

Meaning and scope

Equality persists on the domain of the closed retained map. This does not identify arbitrary products of independently closed comparison factors.

Source

Paper 4, Theorem 8.2. Draft manuscript — compile-audit version; not marked frozen.

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