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erdos_707

Specification

**Erdős Problem 707**: It is false that any finite Sidon set can be embedded in a perfect different set modulo some $n$. As described in [arxiv/2510.19804], a counterexample is provided in [Ha47], see below. The proof of this has been formalized.

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Lean 4 Statement 
theorem erdos_707 : (∀ (A : Set ℕ) (h : A.Finite), IsSidon A →
    ∃ᵉ (B : Set ℕ) (n > 0), A ⊆ B ∧ IsPerfectDifferenceSet B n) ↔ False
ID: ErdosProblems__707__erdos_707
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