Theorems · Definition · group theory
AddAction.IsMultiplyPretransitive
(G : Type u_1) → (α : Type u_2) → [inst : AddGroup G] → [AddAction G α] → ℕ → Prop
An additive action of an additive group on a type α
is n-pretransitive if the associated action on Fin n ↪ α is pretransitive.
- Cited by
- 17 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.
- AddGroupstatement and proof · cited by 4,410
- Function.Embeddingproof · cited by 988
- AddActionstatement and proof · cited by 820
- AddAction.IsPretransitiveproof · cited by 56
Cited by19
Results whose statement or proof uses this declaration.
- AddAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitivestatement and proof · cited by 3
- AddAction.IsMultiplyPreprimitive.isMultiplyPretransitivestatement · cited by 3
- SubAddAction.ofStabilizer.isMultiplyPretransitivestatement and proof · cited by 2
- AddAction.is_two_pretransitive_iffstatement and proof · cited by 2
- AddAction.isMultiplyPreprimitive_of_isMultiplyPretransitive_succstatement and proof · cited by 1
- AddAction.isMultiplyPretransitive_of_le'statement and proof · cited by 1
- AddAction.isPreprimitive_of_is_two_pretransitivestatement and proof · cited by 1
- AddAction.isPretransitive_of_is_two_pretransitivestatement and proof · cited by 1
- SubAddAction.ofStabilizer.isMultiplyPretransitive_iff_of_addConjstatement · cited by 1
- AddAction.IsMultiplyPreprimitive.casesOnstatement and proof · cited by 1
- AddAction.is_zero_pretransitive_iffstatement · cited by 1