sync-brief

Propagate load-bearing changes from workbook.tex to brief.tex.

When to invoke

After establishing a new result, correcting a formula, or completing a section in workbook.tex. NOT for every edit — only for changes that affect what is established.

What "load-bearing" means

Propagate:

• New theorem or proposition (statement, not proof)
• Corrected formula (sign flip, wrong prefactor, wrong argument)
• New result about the mathematical structure (new pole, new residue value, etc.)
• Change to a key definition
• A claim moved from "open" to "established" (or vice versa)

Do NOT propagate:

• Pedagogical re-derivations of existing results
• Reorganization / renaming without content change
• Summary and outlook subsections
• Typo fixes

When in doubt, ask the user.

Steps

1. Identify the change. Ask the user what changed, or run git diff workbook.tex

to see recent edits.

1. Classify. Apply the load-bearing filter above. If ambiguous, ask.

1. Locate the corresponding section in brief.tex. Grep for a related

label, theorem name, or keyword. Do NOT read brief.tex in full.

1. Make the targeted edit. In brief.tex:

• Add the new theorem statement (without proof)
• Replace the old formula with the corrected one
• Update the "Status" line (ESTABLISHED / OPEN / CORRECTED)
• Add a cross-reference to the workbook.tex section label

1. Compile brief.tex (use /latex-compile brief.tex).

1. Report:

• What was propagated (which result, from which section)
• What was deemed not load-bearing and skipped
• Compilation status

Output format

Propagated: [result name] from sec:[label] → brief.tex §N (eq. [label])
Skipped (not load-bearing): [what and why]
brief.tex: M pages, clean.