`q3Size`

definition

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module: IndisputableMonolith.Mathematics.AbstractAlgebraFromRS
domain: Mathematics
line: 29 · github
papers citing: none yet

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IndisputableMonolith.Mathematics.AbstractAlgebraFromRS on GitHub at line 29.

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used by

formal source

  26theorem algebraicStructureCount : Fintype.card AlgebraicStructure = 5 := by decide
  27
  28/-- |Q₃| = 2^3 = 8 (abelian group). -/
  29def q3Size : ℕ := 2 ^ 3
  30theorem q3Size_eq_8 : q3Size = 8 := by decide
  31
  32/-- Q₃ has exponent 2. -/
  33def q3Exponent : ℕ := 2
  34theorem q3Exponent_eq_2 : q3Exponent = 2 := rfl
  35
  36structure AbstractAlgebraCert where
  37  five_structures : Fintype.card AlgebraicStructure = 5
  38  q3_size_8 : q3Size = 8
  39  q3_exp_2 : q3Exponent = 2
  40
  41def abstractAlgebraCert : AbstractAlgebraCert where
  42  five_structures := algebraicStructureCount
  43  q3_size_8 := q3Size_eq_8
  44  q3_exp_2 := q3Exponent_eq_2
  45
  46end IndisputableMonolith.Mathematics.AbstractAlgebraFromRS

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