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baumgartner_headline
Specification
The statement for which Baumgartner actually writes a proof.
Lean 4 Statement
lemma baumgartner_headline (V : Type*) [AddCommGroup V] [Module ℚ V] :
∃ X : Set V,
(∀ Y, IsAPOfLength Y ⊤ → (X ∩ Y).Nonempty) ∧
(∀ Y, IsAPOfLength Y 3 → (X ∩ Y).ncard ≤ 2)
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