Theorems · Theorem · group theory
SubMulAction.nat_card_ofStabilizer_add_one_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) + 1 = Nat.card α- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Finitestatement and proof · cited by 3,029
- Compl.complproof · cited by 2,925
- Finset.cardproof · cited by 2,327
- Fintype.cardproof · cited by 1,386
- MulActionstatement and proof · cited by 1,294
- Nat.cardstatement and proof · cited by 844
- Fintype.ofFiniteproof · cited by 255
- MulAction.stabilizerstatement · cited by 254
- Nat.card_eq_fintype_cardproof · cited by 200
Cited by2
Results whose statement or proof uses this declaration.
- MulAction.IsPreprimitive.isMultiplyPreprimitiveproof · cited by 2
- SubMulAction.nat_card_ofStabilizer_eqproof · cited by 1