  34  rw [div_eq_iff hpos.ne', pow_succ]
  35  ring
  36
  37theorem bandGap_pos (k : ℕ) : 0 < bandGap k := pow_pos phi_pos k
  38
  39structure SemiconductorCert where
  40  five_types : Fintype.card SemiconductorType = 5
  41  phi_ratio : ∀ k, bandGap (k + 1) / bandGap k = phi
  42  bandGap_always_pos : ∀ k, 0 < bandGap k
  43
  44noncomputable def semiconductorCert : SemiconductorCert where
  45  five_types := semiconductorType_count
  46  phi_ratio := bandGap_ratio
  47  bandGap_always_pos := bandGap_pos
  48
  49end IndisputableMonolith.Physics.SemiconductorBandStructureFromConfigDim

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.