Theorems · Theorem · group theory
Set.powersetCard.stabilizer_coe
∀ {G : Type u_1} [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] [inst_2 : DecidableEq α] {n : ℕ}
(s : ↑(Set.powersetCard α n)), MulAction.stabilizer G s = MulAction.stabilizer G ↑s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- 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.powersetCardstatement and proof · cited by 100
- Set.mulActionSetstatement · cited by 95
- Finset.coe_smul_finsetproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Set.powersetCard.isPreprimitive_alternatingGroupproof · cited by 2
- Set.powersetCard.isPreprimitive_permproof · cited by 1