feat: stats and AI doc strings
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@ -23,7 +23,7 @@ open CKMMatrix
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noncomputable section
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/-- Given four reals `θ₁₂ θ₁₃ θ₂₃ δ₁₃` the standard paramaterization of the CKM matrix
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/-- Given four reals `θ₁₂ θ₁₃ θ₂₃ δ₁₃` the standard parameterization of the CKM matrix
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as a `3×3` complex matrix. -/
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def standParamAsMatrix (θ₁₂ θ₁₃ θ₂₃ δ₁₃ : ℝ) : Matrix (Fin 3) (Fin 3) ℂ :=
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![![Real.cos θ₁₂ * Real.cos θ₁₃, Real.sin θ₁₂ * Real.cos θ₁₃, Real.sin θ₁₃ * exp (-I * δ₁₃)],
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@ -96,8 +96,8 @@ lemma standParamAsMatrix_unitary (θ₁₂ θ₁₃ θ₂₃ δ₁₃ : ℝ) :
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rw [sin_sq, sin_sq]
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ring
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/-- Given four reals `θ₁₂ θ₁₃ θ₂₃ δ₁₃` the standard paramaterization of the CKM matrix
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as a CKM matrix. -/
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/-- A CKM Matrix from four reals `θ₁₂`, `θ₁₃`, `θ₂₃`, and `δ₁₃`. This is the standard
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parameterization of CKM matrices. -/
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def standParam (θ₁₂ θ₁₃ θ₂₃ δ₁₃ : ℝ) : CKMMatrix :=
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⟨standParamAsMatrix θ₁₂ θ₁₃ θ₂₃ δ₁₃, by
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rw [mem_unitaryGroup_iff']
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