Theorems · Theorem · group theory
SubMulAction.nat_card_ofStabilizer_eq
∀ (G : Type u_1) [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] [Finite α] (a : α),
Nat.card ↥(SubMulAction.ofStabilizer G a) = Nat.card α - 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Finitestatement and proof · cited by 3,029
- MulActionstatement and proof · cited by 1,294
- Nat.cardstatement · cited by 844
- MulAction.stabilizerstatement · cited by 254
- SubMulActionstatement · cited by 120
- SubMulAction.ofStabilizerstatement · cited by 33
- SubMulAction.nat_card_ofStabilizer_add_one_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.IsMultiplyPretransitive.index_of_fixingSubgroup_mulproof · cited by 2