Theorems · Theorem · group theory

MulAction.fixingSubgroup_le_stabilizer

∀ (G : Type u_1) [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] (s : Set α),
  fixingSubgroup G s ≤ MulAction.stabilizer G s

Defined in: Mathlib.GroupTheory.GroupAction.SubMulAction.OfFixingSubgroup
Cited by: 1 results in Mathlib
Foundations: Depth 24 from the axioms · uses propext, Quot.sound
Assumes: Group MulAction

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Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
Groupstatement and proof · cited by 6,238
Set.imageproof · cited by 5,609
Subgroupstatement · cited by 3,593
MulActionstatement and proof · cited by 1,294
Set.image_congrproof · cited by 533
MulAction.stabilizerstatement · cited by 254
Set.mulActionSetstatement · cited by 95
fixingSubgroupstatement and proof · cited by 83
Set.image_idproof · cited by 60
MulAction.mem_stabilizer_iffproof · cited by 20

Cited by1

Results whose statement or proof uses this declaration.

MulAction.IsBlock.compl_subset_of_stabilizer_le_of_not_subset_of_not_subset_complproof · cited by 2