Theorems · Theorem · group theory
MulAction.mem_stabilizer_finset
∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] {a : G} [inst_2 : DecidableEq α]
{s : Finset α}, a ∈ MulAction.stabilizer G s ↔ ∀ (b : α), a • b ∈ s ↔ b ∈ s- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupMulActionDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement · cited by 254
- Finset.mulActionFinsetstatement · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.