Theorems · Definition · group theory
fixingAddSubgroup
(M : Type u_1) → {α : Type u_2} → [inst : AddGroup M] → [AddAction M α] → Set α → AddSubgroup MThe additive subgroup fixing a set under an AddAction.
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Set.Elemproof · cited by 7,166
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddSubmonoidproof · cited by 1,178
- AddActionstatement and proof · cited by 820
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- fixingAddSubmonoidproof · cited by 5
Cited by64
Results whose statement or proof uses this declaration.
- SubAddAction.ofFixingAddSubgroupstatement · cited by 32
- mem_fixingAddSubgroup_iffstatement and proof · cited by 8
- fixingAddSubgroup_fixedPoints_gcstatement and proof · cited by 7
- AddAction.IsMultiplyPreprimitive.isPreprimitive_ofFixingAddSubgroupstatement · cited by 6
- AddAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- SubAddAction.fixingAddSubgroupEquivFixingAddSubgroupstatement and proof · cited by 4
- SubAddAction.ofFixingAddSubgroup.appendstatement · cited by 3
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitivestatement and proof · cited by 3
- SubAddAction.fixingAddSubgroupInsertEquivstatement and proof · cited by 3
- SubAddAction.addConjMap_ofFixingAddSubgroupstatement · cited by 2
- SubAddAction.map_ofFixingAddSubgroupUnionstatement · cited by 2
- SubAddAction.mem_ofFixingAddSubgroup_iffstatement · cited by 2