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theorem

topologicalDefect_count

proved
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module
IndisputableMonolith.Physics.TopologicalDefectsFromRS
domain
Physics
line
25 · github
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none yet

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IndisputableMonolith.Physics.TopologicalDefectsFromRS on GitHub at line 25.

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formal source

  22  | texture
  23  deriving DecidableEq, Repr, BEq, Fintype
  24
  25theorem topologicalDefect_count : Fintype.card TopologicalDefect = 4 := by decide
  26
  27/-- 4 = 2² = 2^(D-1) at D = 3. -/
  28theorem four_eq_2pow_Dm1 : (4 : ℕ) = 2 ^ 2 := by decide
  29
  30structure TopologicalDefectCert where
  31  four_defects : Fintype.card TopologicalDefect = 4
  32  four_as_2pow : (4 : ℕ) = 2 ^ 2
  33
  34def topologicalDefectCert : TopologicalDefectCert where
  35  four_defects := topologicalDefect_count
  36  four_as_2pow := four_eq_2pow_Dm1
  37
  38end IndisputableMonolith.Physics.TopologicalDefectsFromRS