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prove(gself-pow-three-add-pow-two): gself_pow_three_add_pow_two by mac-158f #2244

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Merged
ohdearquant merged 2 commits into from
Jun 19, 2026
Merged

prove(gself-pow-three-add-pow-two): gself_pow_three_add_pow_two by mac-158f #2244

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42f780b
prove(gself-pow-three-add-pow-two): gself_pow_three_add_pow_two by ma…
ohdearquant Jun 17, 2026
0a2a07f
Merge branch 'main' into queued/prove/gself-pow-three-add-pow-two/mac…
perttu Jun 18, 2026
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7 changes: 7 additions & 0 deletions backlog/gself-pow-three-add-pow-two.md
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# gself-pow-three-add-pow-two

n to the 1 divides n to the 3 plus n to the 2.

- **Source:** self-seeded polynomial-divisibility identity family.
- **Reference:** n to the 1 divides n to the 3 plus n to the 2. Provable by exhibiting the cofactor and `ring`.
- **Difficulty:** 1
20 changes: 20 additions & 0 deletions goals/gself-pow-three-add-pow-two.aisp
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𝔸5.1.goal.gself-pow-three-add-pow-two@2026-06-17
γ≔unsorry.goal
⟦Ω:Goal⟧{
id≜gself-pow-three-add-pow-two
phase≜prove
status≜proved
difficulty≜1
}
⟦Σ:Source⟧{
src≜backlog/gself-pow-three-add-pow-two.md
}
⟦Γ:Deps⟧{
deps≜⟨⟩
}
⟦Λ:Artifact⟧{
lean≜goals/gself-pow-three-add-pow-two.lean
sha≜aa8613c75cbe6a3632e5fbd4b56638200455aa438ec40062a9a7fd77c68d2144
aff≜0
}
⟦Ε⟧⟨δ≜0.60;τ≜◊⁺⟩
4 changes: 4 additions & 0 deletions goals/gself-pow-three-add-pow-two.lean
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import Mathlib

theorem gself_pow_three_add_pow_two (n : ℤ) : (n) ∣ (n^3 + n^2) := by
sorry
4 changes: 4 additions & 0 deletions library/Unsorry/GselfPowThreeAddPowTwo.lean
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import Mathlib

theorem gself_pow_three_add_pow_two (n : ℤ) : (n) ∣ (n^3 + n^2) := by
exact ⟨n^2 + n, by ring⟩
8 changes: 8 additions & 0 deletions library/index/aa8613c75cbe6a3632e5fbd4b56638200455aa438ec40062a9a7fd77c68d2144.aisp
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𝔸5.1.lemma.aa8613c75cbe@2026-06-17
γ≔unsorry.lemma.index
⟦Ω:Lemma⟧{sha≜aa8613c75cbe6a3632e5fbd4b56638200455aa438ec40062a9a7fd77c68d2144; goal≜gself-pow-three-add-pow-two; name≜gself_pow_three_add_pow_two}
⟦Σ:Source⟧{src≜goals/gself-pow-three-add-pow-two.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≜◊⁺⟩
8 changes: 8 additions & 0 deletions proof-runs/gself-pow-three-add-pow-two.mac-158f.20260617t182213587568z-bad4a23b.aisp
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𝔸5.1.run.gself-pow-three-add-pow-two.mac-158f.20260617t182213587568z-bad4a23b@2026-06-17
γ≔unsorry.proof.run
⟦Ω:Run⟧{id≜20260617t182213587568z-bad4a23b; goal≜gself-pow-three-add-pow-two; agent≜mac-158f; outcome≜proved}
⟦Π:Provenance⟧{solver≜ohdearquant; provider≜claude; model≜template-ring-cofactor}
⟦Γ:Goal⟧{goal≜gself-pow-three-add-pow-two}
⟦Λ:Metrics⟧{attempts≜1; solve_s≜0; ended≜2026-06-17T18:22:13Z}
⟦Σ:Artifact⟧{sha≜aa8613c75cbe6a3632e5fbd4b56638200455aa438ec40062a9a7fd77c68d2144}
⟦Ε⟧⟨δ≜0.60;τ≜◊⁺⟩
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