Theorems / novel_nt_04

Authored

Number theory · easy

Statement, exactly as the model and Lean see it
theorem lg_target (x : ℤ) (h : 3 ∣ x) : 9 ∣ x ^ 2 := by
Source
Written for LeanGraph, reference proof certified
Premises used by the reference proof
25

Traces

Each configuration's full record: what was retrieved, what the model wrote, what Lean said back.

Not verified1 model calls · 1 Lean checks · $0.00004

Attempts

  1. sample 0 · round 0Wrong tactic1.9 s model time
    Proof
    intro x h
apply dvd_trans
exact dvd_mul_right 3 3
    What Lean printed (this is all the model sees on repair)
    4:8: error: Tactic `introN` failed: There are no additional binders or `let` bindings in the goal to introduce

x : ℤ
h : 3 ∣ x
⊢ 9 ∣ x ^ 2

Reference proof

The proof we wrote and certified before any model ran.

obtain ⟨k, rfl⟩ := h
exact ⟨k ^ 2, by ring⟩