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`BookProof.ChapterFreeFieldBornFiberSpectrum.exists_bornFiber_card_eq_two_pow` {k : ℕ} (hk : 1 ≤ k) (hkn : k ≤ n) : ∃ p : ↥(stdSimplex ℝ (Fin n)), Nat.card ↥(bornMapSphere n ⁻¹' {p · Prove2Me