feat: stats and AI doc strings
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19 changed files with 162 additions and 40 deletions
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@ -667,7 +667,7 @@ lemma basisa_card : Fintype.card ((Fin n.succ) ⊕ (Fin n)) =
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simp only [Fintype.card_sum, Fintype.card_fin, mul_eq]
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omega
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/-- The basis formed out of our basisa vectors. -/
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/-- The basis formed out of our `basisa` vectors. -/
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noncomputable def basisaAsBasis :
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Basis (Fin (succ n) ⊕ Fin n) ℚ (PureU1 (2 * succ n)).LinSols :=
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basisOfLinearIndependentOfCardEqFinrank (@basisa_linear_independent n) basisa_card
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@ -67,7 +67,7 @@ lemma line_in_cubic_P_P_P! {S : (PureU1 (2 * n.succ)).LinSols} (h : LineInCubic
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linear_combination 2 / 3 * (lineInCubic_expand h g f hS 1 1) -
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(lineInCubic_expand h g f hS 1 2) / 6
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/-- We say a `LinSol` satisfies `lineInCubicPerm` if all its permutations satisfy `lineInCubic`. -/
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/-- A `LinSol` satisfies `LineInCubicPerm` if all its permutations satisfy `lineInCubic`. -/
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def LineInCubicPerm (S : (PureU1 (2 * n.succ)).LinSols) : Prop :=
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∀ (M : (FamilyPermutations (2 * n.succ)).group),
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LineInCubic ((FamilyPermutations (2 * n.succ)).linSolRep M S)
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