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Theorems · Theorem · group theory

MulAction.stabilizer_singleton

∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] (b : α),
  MulAction.stabilizer G {b} = MulAction.stabilizer G b
Defined in
Mathlib.Algebra.Pointwise.Stabilizer
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

alternatingGroup.isCoatom_stabilizer_singleton · cited by 1alternatingGroup.isCoatom…Set · cited by 53352SetGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulAction · cited by 1294MulActionMulAction.stabilizer · cited by 254MulAction.stabilizerSubgroup.ext · cited by 108Subgroup.extSet.mulActionSet · cited by 95Set.mulActionSetSet.smul_set_singleton · cited by 5Set.smul_set_singletonMulAction.stabilizer_singletonCITED BYCITES

Cites8

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Cited by1

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