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import Mathlib.GroupTheory.GroupAction.Basic
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import Mathlib.GroupTheory.Subgroup.Basic
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import Mathlib.Data.Finset.Basic
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import Rubin.Support
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namespace Rubin
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def OrbitClosure {G α : Type _} [Group G] [MulAction G α] (U : Set α) :=
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{ g : G | Support α g ⊆ U}
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end Rubin
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