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green_2_lower_bound_sanders
Specification
From [Sa21] it is known that there is always such an S with $|S| \gt (\log |A|)^{1+c}$.
Lean 4 Statement
theorem green_2_lower_bound_sanders :
∃ c > (0 : ℝ), ∀ᶠ n : ℕ in atTop, ∀ A : Finset ℤ, A.card = n →
maxRestrictedSumAvoidingSubsetSize A ≥ Real.log n ^ (1 + c)
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