Manuscript XV-F-patch@1 · XV-F-patch.tex · section · 6d6ef16d
The question being answered
Scope, evidence, and the stop rule › The question being answered · lines 306–341
The proposed patch asks whether four source sheets can be completed,
definitionally, so that XV-F's Proposition
prop:F0 no longer fails on the gaps those sheets own.
The question has two distinct readings.
The first is documentary. A formula which is present in a supplied full text, but was previously available only as a paraphrase, can now be reproduced. Its source notation, coefficient class, and scope can be inspected directly. This is the appropriate reading for XIV-I's amplitude definition and XIV-J's target and map-class definition.
The second is mathematical. A role such as “the specified graph differential operator” might be replaced by a generic formula for a finite differential operator. That replacement gives a mathematical template, but it does not identify the specified operator. Similarly, a species name does not by itself construct a vector bundle, and a named spectator does not determine its distributional coefficient. The second reading therefore requires information beyond the existence of a displayed syntactic form.
The patch must not conflate these readings. Its central distinction is between completing a documentary ledger and completing the frozen-object package needed for a lift. The former is accomplished below. The latter is not claimed merely because every row has acquired a formula or an explicit boundary statement.
This distinction is necessary for a proof-ready release. If an unknown frozen coefficient is replaced by an arbitrary parameter and the resulting expression is called the actual coefficient, the model has been changed without a theorem. If instead the parameter remains exposed, the expression is a well-defined family, and its status can be stated honestly. A source patch is useful precisely when it makes that difference visible.