recognition /
Mathematics /
Mathematics.RamanujanBridge.ContinuedFractionPhi /
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formal statement (Lean)
206 def cfracLevelCost (partialQuotient : ℕ) : ℝ :=
proof body
Definition body.
207 Jcost (partialQuotient + 1 / phi)
208
209 /-- The partial quotient 1 (giving ratio φ) has the minimum J-cost
210 among all positive integer partial quotients.
211
212 This is because J is increasing on [1,∞) and 1 + 1/φ = φ ≈ 1.618
213 is less than 2 + 1/anything. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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