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theorem proved term proof

spectral_gap_strict

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formal statement (Lean)

 194theorem spectral_gap_strict (n : ℤ) (hn : n ≠ 0) :
 195    0 < Jcost (PhiLadder n) :=

proof body

Term-mode proof.

 196  lt_of_lt_of_le massGap_pos (spectral_gap n hn)
 197
 198/-! ## §5  Gauge Field Excitations Carry Positive Cost -/
 199
 200/-- A gauge bond configuration: each of Q₃'s 12 edges carries a bond
 201    multiplier rung index. The vacuum has all multipliers at rung 0 = φ⁰ = 1. -/

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