feat: stats and AI doc strings
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@ -130,7 +130,7 @@ lemma rotateMatrix_specialUnitary {φ : HiggsVec} (hφ : φ ≠ 0) :
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mem_specialUnitaryGroup_iff.mpr ⟨rotateMatrix_unitary hφ, rotateMatrix_det hφ⟩
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/-- Given a Higgs vector, an element of the gauge group which puts the first component of the
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vector to zero, and the second component to a real -/
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vector to zero, and the second component to a real number. -/
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def rotateGuageGroup {φ : HiggsVec} (hφ : φ ≠ 0) : GaugeGroup :=
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⟨1, ⟨(rotateMatrix φ), rotateMatrix_specialUnitary hφ⟩, 1⟩
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