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Theorems · Theorem · group theory

SubAddAction.ofStabilizer_carrier

∀ (G : Type u_1) [inst : AddGroup G] {α : Type u_2} [inst_1 : AddAction G α] (a : α),
  (SubAddAction.ofStabilizer G a).carrier = {a}ᶜ
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer
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Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddAction
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Set · cited by 53352SetAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupCompl.compl · cited by 2925Compl.complAddAction · cited by 820AddActionAddAction.stabilizer · cited by 112AddAction.stabilizerSubAddAction.ofStabilizer · cited by 29SubAddAction.ofStabilizerSubAddAction.carrier · cited by 6SubAddAction.carrierSubAddAction.ofStabilizer_car…CITED BYCITES

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