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theorem proved term proof

cooper_pair_binding_exceeds_thermal

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formal statement (Lean)

 152theorem cooper_pair_binding_exceeds_thermal
 153    (n : ℤ) (hn : 0 ≤ n) :
 154    1 ≤ T_c_rung n := by

proof body

Term-mode proof.

 155  unfold T_c_rung
 156  rcases hn.lt_or_eq with hn' | hn'
 157  · exact (one_lt_zpow₀ one_lt_phi hn').le
 158  · simp [hn'.symm]
 159
 160/-! ## §V. Coherence Condition: φ-Phonon Coupling -/
 161
 162/-- RS predicts: superconductivity occurs when the electron-phonon coupling
 163    places the system on the φ-ladder. The coupling constant g must satisfy:
 164    g = φ^(-k) for some integer k ≥ 0. -/

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