28.lean`

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

1 declarations, 1 contain sorry, 0 declared as axioms

Erdős Problem 28

Reference: erdosproblems.com/28

Imports (1)

FormalConjecturesUtil

Imported by 2 files

theorem Erdos28.erdos_28 If $A ⊆ \mathbb{N}$ is such that $A + A$ contains all but finitely many integers then $\limsup 1_A ∗ 1_A(n) = \infty$ sorry line 39 source
Source documentation
If $A ⊆ \mathbb{N}$ is such that $A + A$ contains all but finitely many integers then $\limsup 1_A ∗ 1_A(n) = \infty$.

depends on sorry what this means
Statement uses: Set, Nat, Set.Finite, Compl.compl, HAdd.hAdd, Eq, ENat, Filter.limsup, AdditiveCombinatorics.sumRep, Filter.atTop, Top.top
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous, OfNat.ofNat
25 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem erdos_28 (A : Set ℕ) (h : (A + A)ᶜ.Finite) :
    limsup (fun (n : ℕ) => (sumRep A n : ℕ∞)) atTop = (⊤ : ℕ∞) := by
…
```