Theorems · Theorem · group theory
SubMulAction.ofStabilizer.snoc_castSucc
∀ {G : Type u_1} [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] {a : α} {n : ℕ}
(x : Fin n ↪ ↥(SubMulAction.ofStabilizer G a)) (i : Fin n), (SubMulAction.ofStabilizer.snoc x) i.castSucc = ↑(x i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- Function.Embeddingstatement and proof · cited by 988
- MulAction.stabilizerstatement · cited by 254
- Function.Embedding.subtypeproof · cited by 128
- SubMulActionstatement · cited by 120
- Function.Embedding.transproof · cited by 83
- Fin.snoc_castSuccproof · cited by 38
- SubMulAction.ofStabilizerstatement and proof · cited by 33
- Function.Embedding.trans_applyproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- SubMulAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 5