theorem
proved
term proof
horizonAtRung_pos
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formal statement (Lean)
46theorem horizonAtRung_pos (k : ℕ) : 0 < horizonAtRung k := by
proof body
Term-mode proof.
47 unfold horizonAtRung referenceHorizon
48 have : 0 < phi ^ (-(k : ℤ)) := zpow_pos Constants.phi_pos _
49 linarith [this]
50