`VortexLatticeType`

definition

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module: IndisputableMonolith.Materials.SuperconductorVortexFromJCost
domain: Materials
line: 24 · github
papers citing: none yet

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IndisputableMonolith.Materials.SuperconductorVortexFromJCost on GitHub at line 24.

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formal source

  21namespace IndisputableMonolith.Materials.SuperconductorVortexFromJCost
  22open Cost
  23
  24inductive VortexLatticeType where
  25  | abrikosov | hexagonal | square | disordered | coexistence
  26  deriving DecidableEq, Repr, BEq, Fintype
  27
  28theorem vortexLatticeCount : Fintype.card VortexLatticeType = 5 := by decide
  29
  30/-- Vortex carries one flux quantum: J(1) = 0 (minimal recognition cost). -/
  31theorem flux_quantum_minimal : Jcost 1 = 0 := Jcost_unit0
  32
  33structure SuperconductorVortexCert where
  34  five_lattice_types : Fintype.card VortexLatticeType = 5
  35  flux_quantum_cost : Jcost 1 = 0
  36
  37def superconductorVortexCert : SuperconductorVortexCert where
  38  five_lattice_types := vortexLatticeCount
  39  flux_quantum_cost := flux_quantum_minimal
  40
  41end IndisputableMonolith.Materials.SuperconductorVortexFromJCost

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