FormalConjectures/ErdosProblems/398.lean

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Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL
Lean4 Domain Explanation Language

Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 1 contain sorry, 0 declared as axioms

Erdős Problem 398

References:

Imports (1)
Imported by 2 files
  1. theorem Erdos398.erdos_398 Brocard's Problem Does $n! + 1 = m^2$ have integer solutions other than $n = 4, 5, 7$? sorry line 39 source

    Source documentation

    Brocard's Problem Does $n! + 1 = m^2$ have integer solutions other than $n = 4, 5, 7$?

    depends on sorry what this means

    Statement uses: Iff, True, Eq, Set, Nat, Set.ofPred, Exists, HAdd.hAdd, Nat.factorial, OfNat.ofNat, HPow.hPow, Insert.insert, Singleton.singleton

    Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous

    18 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

    theorem erdos_398 : answer(sorry) ↔ {n | ∃ m, n ! + 1 = m ^ 2} = {4, 5, 7} := by
    …