Theorems · Definition · group theory
MulAction.IsMultiplyPretransitive
(G : Type u_1) → (α : Type u_2) → [inst : Group G] → [MulAction G α] → ℕ → Prop
An action of a group on a type α is n-pretransitive
if the associated action on Fin n ↪ α is pretransitive.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MulActionstatement and proof · cited by 1,294
- Function.Embeddingproof · cited by 988
- MulAction.IsPretransitiveproof · cited by 94
Cited by35
Results whose statement or proof uses this declaration.
- MulAction.is_one_pretransitive_iffstatement · cited by 7
- MulAction.isMultiplyPretransitive_of_lestatement and proof · cited by 6
- SubMulAction.ofStabilizer.isMultiplyPretransitivestatement and proof · cited by 5
- MulAction.IsMultiplyPreprimitive.isMultiplyPretransitivestatement · cited by 5
- MulAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- alternatingGroup.isMultiplyPretransitivestatement and proof · cited by 4
- Equiv.Perm.isMultiplyPretransitivestatement · cited by 4
- SubMulAction.ofFixingSubgroup.isMultiplyPretransitivestatement and proof · cited by 4
- MulAction.isMultiplyPretransitive_of_le'statement and proof · cited by 3
- MulAction.isPreprimitive_of_is_two_pretransitivestatement and proof · cited by 3
- MulAction.IsMultiplyPretransitive.index_of_fixingSubgroup_mulstatement and proof · cited by 2
- Set.powersetCard.isPretransitive_of_isMultiplyPretransitivestatement and proof · cited by 2