`leech_half_b3`

proved

show as: view math explainer →

module: IndisputableMonolith.Mathematics.ConwayGroupStructuralFromRS
domain: Mathematics
line: 27 · github
papers citing: none yet

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IndisputableMonolith.Mathematics.ConwayGroupStructuralFromRS on GitHub at line 27.

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formal source

  24def b3Order : ℕ := 48
  25def leechFromCube : ℕ := b3Order / 2
  26
  27theorem leech_half_b3 : leechFromCube = leechDimension := by decide
  28
  29/-- 24 = 2³ · 3 (integer factorisation). -/
  30theorem leechDim_factorisation : leechDimension = 2 ^ 3 * 3 := by decide
  31
  32structure ConwayCert where
  33  leech_dim : leechDimension = 24
  34  leech_half_b3 : leechFromCube = leechDimension
  35  leech_factorisation : leechDimension = 2 ^ 3 * 3
  36
  37def conwayCert : ConwayCert where
  38  leech_dim := leechDimension_eq
  39  leech_half_b3 := leech_half_b3
  40  leech_factorisation := leechDim_factorisation
  41
  42end IndisputableMonolith.Mathematics.ConwayGroupStructuralFromRS

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