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theorem

solidStatePhenomenonCount

proved
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module
IndisputableMonolith.Physics.SolidStatePhysicsFromRS
domain
Physics
line
27 · github
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IndisputableMonolith.Physics.SolidStatePhysicsFromRS on GitHub at line 27.

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  24  | bandStructure | phonons | magnetism | superconductivity | topology
  25  deriving DecidableEq, Repr, BEq, Fintype
  26
  27theorem solidStatePhenomenonCount : Fintype.card SolidStatePhenomenon = 5 := by decide
  28
  29/-- 8 k-points in Brillouin zone = 2^3. -/
  30def brillouinKPoints : ℕ := 2 ^ 3
  31theorem brillouinKPoints_8 : brillouinKPoints = 8 := by decide
  32
  33noncomputable def bandGap (k : ℕ) : ℝ := phi ^ k
  34
  35structure SolidStatePhysicsCert where
  36  five_phenomena : Fintype.card SolidStatePhenomenon = 5
  37  eight_kpoints : brillouinKPoints = 8
  38
  39def solidStatePhysicsCert : SolidStatePhysicsCert where
  40  five_phenomena := solidStatePhenomenonCount
  41  eight_kpoints := brillouinKPoints_8
  42
  43end IndisputableMonolith.Physics.SolidStatePhysicsFromRS