Theorems · Theorem · group theory
MulAction.stabilizer_coe_finset
∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] [inst_2 : DecidableEq α] (s : Finset α),
MulAction.stabilizer G ↑s = MulAction.stabilizer G s- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement · cited by 254
- Subgroup.extproof · cited by 108
- Set.mulActionSetstatement · cited by 95
- Finset.coe_smul_finsetproof · cited by 16
- Finset.mulActionFinsetstatement · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- MulAction.mem_stabilizer_set_iff_subset_smul_setproof · cited by 2
- MulAction.mem_stabilizer_set'proof · cited by 1
- MulAction.mem_stabilizer_set_iff_smul_set_subsetproof · cited by 1
- Finset.doubling_lt_golden_ratioproof · cited by 0