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green_18.bmz_corners
Specification
[So13] proved this is true for "BMZ corners". Follows from the proof of Theorem 2.1, p.1456-1457.
Lean 4 Statement
theorem green_18.bmz_corners : ∀ α > 0, ∃ c > 0, ∃ m₀ : ℕ,
∀ (G : Type*) [Group G] [Fintype G] [DecidableEq G] (A : Finset (G × G)),
Fintype.card G ≥ m₀ →
(A.card : ℝ) ≥ α * (Fintype.card G) ^ 2 →
(numBmzCorners A : ℝ) ≥ c * (Fintype.card G) ^ 3
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