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Document the McKay proof and formalization blueprint #33

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2 changes: 2 additions & 0 deletions mckay-conjecture/.gitignore
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@@ -1,4 +1,6 @@
/.lake/
/output/
/tmp/
*.olean
*.ilean
*.log
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21 changes: 19 additions & 2 deletions mckay-conjecture/README.md
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Expand Up @@ -21,6 +21,11 @@ tip of mathlib's `master` branch when the project was created on 2026-07-25.
complex characters and the `p'`-degree condition.
- `McKayConjecture/Statement.lean` defines the Sylow normalizer and the
proposition `McKayConjecture.Statement`.
- `docs/mckay_proof.tex` gives a detailed natural-language proof certificate,
including the exact reduction and final type-`D` theorem chain.
- `docs/formalization_blueprint.tex` audits existing Lean coverage and divides
the complete formalization into named modules and compilation gates.
- `docs/references.bib` records the primary mathematical and Lean sources.

## Build

Expand All @@ -29,5 +34,17 @@ lake exe cache get
lake build
```

The first milestone contains only the audited proposition; it does not assume
the conjecture as an axiom or hide an unfinished proof behind `sorry`.
To build the documents:

```bash
cd docs
latexmk -pdf -interaction=nonstopmode -halt-on-error \
-outdir=../output/pdf mckay_proof.tex
latexmk -pdf -interaction=nonstopmode -halt-on-error \
-outdir=../output/pdf formalization_blueprint.tex
```

The statement milestone contains only the audited proposition; it does not
assume the conjecture as an axiom or hide an unfinished proof behind `sorry`.
The blueprint keeps the same trust boundary: an assumed reduction theorem or
CFSG family result is explicitly not counted as a complete formal proof.
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