Theorems · Theorem · group theory
SubAddAction.ofStabilizer.isMultiplyPretransitive_iff_of_addConj
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {n : ℕ} {a b : α} {g : G},
b = g +ᵥ a →
(AddAction.IsMultiplyPretransitive (↥(AddAction.stabilizer G a)) (↥(SubAddAction.ofStabilizer G a)) n ↔
AddAction.IsMultiplyPretransitive (↥(AddAction.stabilizer G b)) (↥(SubAddAction.ofStabilizer G b)) n)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- AddSubgroupstatement · cited by 3,232
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- SubAddActionstatement · cited by 86
- AddEquiv.surjectiveproof · cited by 37
- SubAddAction.ofStabilizerstatement · cited by 29
- AddAction.IsMultiplyPretransitivestatement · cited by 17
- AddAction.stabilizerEquivStabilizerproof · cited by 16
- SubAddAction.ofStabilizer.addConjMap_bijectiveproof · cited by 2
- AddAction.IsPretransitive.of_embedding_congrproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SubAddAction.ofStabilizer.isMultiplyPretransitive_iffproof · cited by 0