From dfe23d6985691e2064f860f56256c58fed133aa8 Mon Sep 17 00:00:00 2001
From: OceanLi <122793010+ohdearquant@users.noreply.github.com>
Date: Wed, 17 Jun 2026 14:19:17 -0400
Subject: [PATCH] prove(ggeom-pred-pow-seven-sub-one):
 ggeom_pred_pow_seven_sub_one by mac-158f

---
 backlog/ggeom-pred-pow-seven-sub-one.md       |  7 +++++++
 goals/ggeom-pred-pow-seven-sub-one.aisp       | 20 +++++++++++++++++++
 goals/ggeom-pred-pow-seven-sub-one.lean       |  4 ++++
 library/Unsorry/GgeomPredPowSevenSubOne.lean  |  4 ++++
 ...2826487e3e3347f2a463cde61877a019c1260.aisp |  8 ++++++++
 ...-158f.20260617t181916755627z-2762e03e.aisp |  8 ++++++++
 6 files changed, 51 insertions(+)
 create mode 100644 backlog/ggeom-pred-pow-seven-sub-one.md
 create mode 100644 goals/ggeom-pred-pow-seven-sub-one.aisp
 create mode 100644 goals/ggeom-pred-pow-seven-sub-one.lean
 create mode 100644 library/Unsorry/GgeomPredPowSevenSubOne.lean
 create mode 100644 library/index/f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260.aisp
 create mode 100644 proof-runs/ggeom-pred-pow-seven-sub-one.mac-158f.20260617t181916755627z-2762e03e.aisp

diff --git a/backlog/ggeom-pred-pow-seven-sub-one.md b/backlog/ggeom-pred-pow-seven-sub-one.md
new file mode 100644
index 000000000..b136988f6
--- /dev/null
+++ b/backlog/ggeom-pred-pow-seven-sub-one.md
@@ -0,0 +1,7 @@
+# ggeom-pred-pow-seven-sub-one
+
+n minus one divides n to the 7 minus one.
+
+- **Source:** self-seeded polynomial-divisibility identity family.
+- **Reference:** n minus one divides n to the 7 minus one. Provable by exhibiting the cofactor and `ring`.
+- **Difficulty:** 1
diff --git a/goals/ggeom-pred-pow-seven-sub-one.aisp b/goals/ggeom-pred-pow-seven-sub-one.aisp
new file mode 100644
index 000000000..883d90c4c
--- /dev/null
+++ b/goals/ggeom-pred-pow-seven-sub-one.aisp
@@ -0,0 +1,20 @@
+𝔸5.1.goal.ggeom-pred-pow-seven-sub-one@2026-06-17
+γ≔unsorry.goal
+⟦Ω:Goal⟧{
+  id≜ggeom-pred-pow-seven-sub-one
+  phase≜prove
+  status≜proved
+  difficulty≜1
+}
+⟦Σ:Source⟧{
+  src≜backlog/ggeom-pred-pow-seven-sub-one.md
+}
+⟦Γ:Deps⟧{
+  deps≜⟨⟩
+}
+⟦Λ:Artifact⟧{
+  lean≜goals/ggeom-pred-pow-seven-sub-one.lean
+  sha≜f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260
+  aff≜0
+}
+⟦Ε⟧⟨δ≜0.60;τ≜◊⁺⟩
diff --git a/goals/ggeom-pred-pow-seven-sub-one.lean b/goals/ggeom-pred-pow-seven-sub-one.lean
new file mode 100644
index 000000000..60de4ac77
--- /dev/null
+++ b/goals/ggeom-pred-pow-seven-sub-one.lean
@@ -0,0 +1,4 @@
+import Mathlib
+
+theorem ggeom_pred_pow_seven_sub_one (n : ℤ) : (n - 1) ∣ (n^7 - 1) := by
+  sorry
diff --git a/library/Unsorry/GgeomPredPowSevenSubOne.lean b/library/Unsorry/GgeomPredPowSevenSubOne.lean
new file mode 100644
index 000000000..516c19908
--- /dev/null
+++ b/library/Unsorry/GgeomPredPowSevenSubOne.lean
@@ -0,0 +1,4 @@
+import Mathlib
+
+theorem ggeom_pred_pow_seven_sub_one (n : ℤ) : (n - 1) ∣ (n^7 - 1) := by
+  exact ⟨n^6 + n^5 + n^4 + n^3 + n^2 + n + 1, by ring⟩
diff --git a/library/index/f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260.aisp b/library/index/f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260.aisp
new file mode 100644
index 000000000..c6f907752
--- /dev/null
+++ b/library/index/f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260.aisp
@@ -0,0 +1,8 @@
+𝔸5.1.lemma.f63e846f5ab4@2026-06-17
+γ≔unsorry.lemma.index
+⟦Ω:Lemma⟧{sha≜f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260; goal≜ggeom-pred-pow-seven-sub-one; name≜ggeom_pred_pow_seven_sub_one}
+⟦Σ:Source⟧{src≜goals/ggeom-pred-pow-seven-sub-one.lean}
+⟦Γ:Tags⟧{tags≜⟨⟩}
+⟦Λ:Meta⟧{use≜0; aff≜0}
+⟦Π:Provenance⟧{solver≜ohdearquant; agent≜mac-158f; provider≜claude; model≜template-ring-cofactor; attempts≜1}
+⟦Ε⟧⟨δ≜0.60;τ≜◊⁺⟩
diff --git a/proof-runs/ggeom-pred-pow-seven-sub-one.mac-158f.20260617t181916755627z-2762e03e.aisp b/proof-runs/ggeom-pred-pow-seven-sub-one.mac-158f.20260617t181916755627z-2762e03e.aisp
new file mode 100644
index 000000000..cc3f0ca3a
--- /dev/null
+++ b/proof-runs/ggeom-pred-pow-seven-sub-one.mac-158f.20260617t181916755627z-2762e03e.aisp
@@ -0,0 +1,8 @@
+𝔸5.1.run.ggeom-pred-pow-seven-sub-one.mac-158f.20260617t181916755627z-2762e03e@2026-06-17
+γ≔unsorry.proof.run
+⟦Ω:Run⟧{id≜20260617t181916755627z-2762e03e; goal≜ggeom-pred-pow-seven-sub-one; agent≜mac-158f; outcome≜proved}
+⟦Π:Provenance⟧{solver≜ohdearquant; provider≜claude; model≜template-ring-cofactor}
+⟦Γ:Goal⟧{goal≜ggeom-pred-pow-seven-sub-one}
+⟦Λ:Metrics⟧{attempts≜1; solve_s≜0; ended≜2026-06-17T18:19:16Z}
+⟦Σ:Artifact⟧{sha≜f63e846f5ab4947a185fd0fecc82826487e3e3347f2a463cde61877a019c1260}
+⟦Ε⟧⟨δ≜0.60;τ≜◊⁺⟩