skills/proofread-math/references/checklist.md

# Mathematical LaTeX proofreading checklist

## Prose and typography

- spelling, grammar, agreement, articles, prepositions, referents, and parallel
  structure;
- punctuation, capitalization, hyphenation, duplicated or omitted words;
- grammatical integration and punctuation of displays;
- terminology consistency and clear local transitions;
- awkward phrasing only when a meaning-preserving local correction is clear.

Preserve the author's English variant and individual style.

## LaTeX

- balanced braces and delimiters;
- matching environments and valid nesting;
- correct math mode, alignment markers, line breaks, and delimiter sizing;
- labels, references, equation references, citations, and duplicate keys;
- theorem/equation names and local custom macros;
- package-specific syntax only when the preamble or project resolves it.

Do not convert between equivalent commands, environments, delimiter forms, or
line layouts merely for taste.

## Local mathematical consistency

- symbols, indices, primes, decorations, subscripts, and superscripts;
- operators, relations, signs, coefficients, constants, and parentheses;
- quantified variables, ranges, hypotheses, domains, and codomains;
- dimensions, degrees, arities, filtrations, and page indices;
- consistency between statement, proof, definition, and cited formula;
- whether prose accurately describes the adjacent equation.

Flag rather than repair anything requiring proof reconstruction or a global
choice of convention.