Theorems · Definition · group theory
SubMulAction.ofFixingSubgroup
(M : Type u_1) →
{α : Type u_2} → [inst : Group M] → [inst_1 : MulAction M α] → (s : Set α) → SubMulAction (↥(fixingSubgroup M s)) αThe SubMulAction of fixingSubgroup M s on the complement of s.
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Compl.complproof · cited by 2,925
- MulActionstatement and proof · cited by 1,294
- SubMulActionstatement · cited by 120
- fixingSubgroupstatement · cited by 83
Cited by54
Results whose statement or proof uses this declaration.
- MulAction.IsMultiplyPreprimitive.isPreprimitive_ofFixingSubgroupstatement · cited by 6
- MulAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- SubMulAction.ofFixingSubgroup.appendstatement and proof · cited by 4
- SubMulAction.ofFixingSubgroup.isMultiplyPretransitivestatement and proof · cited by 4
- SubMulAction.ofFixingSubgroup_insert_map_bijectivestatement and proof · cited by 3
- SubMulAction.IsPretransitive.isPretransitive_ofFixingSubgroup_interstatement and proof · cited by 2
- SubMulAction.map_ofFixingSubgroupUnionstatement and proof · cited by 2
- SubMulAction.mem_ofFixingSubgroup_iffstatement · cited by 2
- SubMulAction.ofFixingSubgroup_equivariantMapstatement and proof · cited by 2
- SubMulAction.ofFixingSubgroup_insert_mapstatement and proof · cited by 2
- SubMulAction.ofFixingSubgroup_of_eqstatement and proof · cited by 2