Theorems / mh_numb_0e8287

Mathlib held-out

Number theory · easy

Statement, exactly as the model and Lean see it
theorem lg_target {p : ℕ} (h : Nat.Prime p) : ¬p.Perfect := by
Mathlib declaration
Nat.Prime.not_perfect
Held-out module
Mathlib.NumberTheory.FactorisationProperties
Banned modules (itself + downstream)
1
Reference proof premises (reachable / held-out)
0 / 2

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.

theorem Prime.not_perfect (h : Prime p) : ¬ Perfect p :=
  fun hp ↦ h.not_pseudoperfect hp.pseudoperfect