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Document the McKay proof and formalization blueprint - #33

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codex/mckay-statementfrom
codex/mckay-proof-blueprint
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Document the McKay proof and formalization blueprint#33
Vilin97 wants to merge 1 commit into
codex/mckay-statementfrom
codex/mckay-proof-blueprint

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@Vilin97

@Vilin97 Vilin97 commented Jul 26, 2026

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What

  • adds a detailed natural-language proof certificate for the McKay equality, following the exact Cabanes–Späth/IMN/Rossi theorem chain
  • expands the final type-D argument through the doubly regular case, Lemma 5.8, the twisted Frobenius subgroup, stable transversals, extension maps, and Theorem 6.12
  • records the search for a simpler proof and distinguishes the general theorem from p-solvable special cases
  • audits current mathlib, odd-order, Qiuzhen CFSG, TauCeti, lean-pool, and TNLean at reproducible commits
  • adds a file-by-file Lean blueprint, exact missing obligations, latest-mathlib port boundaries, and a heartbeat-clean import plan

Why

This is the second stacked milestone after #32. It turns the literature proof and the current Lean ecosystem into an auditable implementation plan without disguising CFSG or the finite-reductive character theory as assumptions.

Checks

  • lake build (2329 jobs)
  • latexmk -pdf -interaction=nonstopmode -halt-on-error for both documents
  • no unresolved references, overfull boxes, or LaTeX errors/warnings in the final logs
  • rendered and visually inspected all 10 proof pages and all 17 blueprint pages
  • adversarial source audit against arXiv 2410.20392v2/Annals theorem numbering
  • Lean source scan found no sorry, axiom, admit, heartbeat, or recursion-depth overrides

@Vilin97
Vilin97 force-pushed the codex/mckay-proof-blueprint branch from a0af54c to 985eaf1 Compare August 17, 2026 21:22
@Vilin97
Vilin97 force-pushed the codex/mckay-statement branch from 6cc3d71 to d6ec53a Compare August 17, 2026 21:22
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