docs: For SO(3)
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@ -71,9 +71,16 @@ informal_definition GaugeGroupℤ₃ where
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/-- Specifies the allowed quotients of `SU(3) x SU(2) x U(1)` which give a valid
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gauge group of the Standard Model. -/
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inductive GaugeGroupQuot : Type
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/-- The element of `GaugeGroupQuot` corresponding to the quotient of the full SM gauge group
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by the sub-group `ℤ₆`. -/
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| ℤ₆ : GaugeGroupQuot
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/-- The element of `GaugeGroupQuot` corresponding to the quotient of the full SM gauge group
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by the sub-group `ℤ₂`. -/
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| ℤ₂ : GaugeGroupQuot
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/-- The element of `GaugeGroupQuot` corresponding to the quotient of the full SM gauge group
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by the sub-group `ℤ₃`. -/
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| ℤ₃ : GaugeGroupQuot
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/-- The element of `GaugeGroupQuot` corresponding to the full SM gauge group. -/
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| I : GaugeGroupQuot
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informal_definition GaugeGroup where
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