Theorems / mh_sets_921469

Mathlib held-out

Sets · easy

Statement, exactly as the model and Lean see it
theorem lg_target {p : ℕ} (hp : Nat.Prime p) : (p ^ 2).divisors = {p ^ 2, p, 1} := by
Mathlib declaration
Nat.Prime.divisors_sq
Held-out module
Mathlib.Data.Finset.NatDivisors
Banned modules (itself + downstream)
1
Reference proof premises (reachable / held-out)
9 / 0

Traces

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

No configuration has attempted this theorem yet.

Reference proof

Mathlib's own source for this declaration, shown for comparison. It may use lemmas the prover is not allowed to use.

lemma Nat.Prime.divisors_sq {p : ℕ} (hp : p.Prime) : (p ^ 2).divisors = {p ^ 2, p, 1} := by
  simp [divisors_prime_pow hp, range_add_one]