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docs: GK5BQ / Qi v4.36 verified signed Stirling and factorial divisibility proof receipt - #3078
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itakura-hidetoshi merged 3 commits intoNov 4, 2026
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…divisibility proof receipt
…sibility to README.md
… next GK5BR to ROADMAP.md
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GK5BQ/Qi v4.36 — 形式証明記録・README・ROADMAP同期(文書専用)
両定理PRとも MERGED。新規3文書のappend-only差分のみで、既存Lean定理・公開集約を変更しません。
独立GK5BQ #3076: exact-source head
4ea15719bf4e8c2ef716e6c8d6a8a4b79ffc6e0a、squashe02876c5f937414cfd2ed54d944f14ff93d1bded。source/test-merge/squash treebdb1e44c4e051af997181caa8261de730592e2aa一致。CI #41765361678:Strict Lean 9,290/9,290・Governance 30/30 SUCCESS、新規10定理公理監査sorryAxなし、変更Lean warning/error 0/0。Qi v4.36 #3077: exact-source head
a5ffb48a3a4e1419d6bfc1b4ed7f5b258cd0af42、test-mergef52cd0a21a3a9096aea80a3fd4440bd096a5ceb7、squashe32a0b8f6a3fd4c5b698a2ce3b512e2ceb590155。三者tree8ba1a1b56a025b14fd297712753019ce5d48e7bb一致。CI #41766217786:Strict Lean 10,217/10,217・Governance 30/30 SUCCESS、新規11定理公理監査sorryAxなし、変更Lean warning/error 0/0。数学的内容: 真正
descPochhammer(Int,k)の係数s(k,j)が固定mathlibNat.stirlingFirstの符号付き整数像に等しい。生整数観測v:Nat→Intだけから整数分子N_(d,j)(v)=∑(d!/k!)Δ^k v(0)s(k,j)を構成し、d!·coeff(Newton_d(v),j)=N_(d,j)(v)、Int[X]原像存在と全j≤dの整除条件d!∣N_(d,j)(v)を必要十分として形式化。GK5BL Lagrange補間にも同値。真正北C60 primitive/double inverse+F55右単位/二つのP92Bループの2!/3!証明書も検証済み。元F55 Type値証拠、P77商類同一性、P94A四セル、GK5AY全域seam、無条件P89反射は新たに構成していない。ファイル: 新規
docs/formal/GK5BQ-Qi-v4_36-signed-stirling-factorial-divisibility-certificates.md、README末尾追記、ROADMAP末尾追記(次GK5BR:素冪ごとの局所合同・局所から全体整除の条件付き合成)。strict 空/独立Kuu→Qi、真正F54二Nat・二圏・Blocks/F55 Type履歴、公開root107、Lean v4.30.0-rc2/mathlib
5450b53e5ddc75d46418fabb605edbf36bd0beb6、保護PR #1558 Draft/OPEN未マージを保持。文書専用CIゲート: Governance/Core Autonomy SUCCESS、Strict Lean SKIPPED(正常)、source/test-merge Git tree一致。検証済みHEADを指定してsquashマージ。