Theorems · Definition · group theory
SubMulAction.ofStabilizer.snoc
{G : Type u_1} →
[inst : Group G] →
{α : Type u_2} →
[inst_1 : MulAction G α] → {a : α} → {n : ℕ} → (Fin n ↪ ↥(SubMulAction.ofStabilizer G a)) → Fin n.succ ↪ αAppend a to x : Fin n ↪ ofStabilizer G a to get an element of Fin n.succ ↪ α.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- 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
- SubMulAction.ofStabilizerstatement and proof · cited by 33
- Fin.Embedding.snocproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- SubMulAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 5
- SubMulAction.ofStabilizer.snoc_laststatement · cited by 1
- SubMulAction.exists_smul_of_last_eqstatement · cited by 1
- SubMulAction.ofStabilizer.snoc_castSuccstatement · cited by 1