Theorems · Definition · group theory
SubAddAction.ofFixingAddSubgroup
(M : Type u_1) →
{α : Type u_2} →
[inst : AddGroup M] → [inst_1 : AddAction M α] → (s : Set α) → SubAddAction (↥(fixingAddSubgroup M s)) αThe SubAddAction of fixingAddSubgroup M s on the complement of s.
- Cited by
- 32 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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Compl.complproof · cited by 2,925
- AddActionstatement and proof · cited by 820
- SubAddActionstatement · cited by 86
- fixingAddSubgroupstatement · cited by 50
Cited by43
Results whose statement or proof uses this declaration.
- AddAction.IsMultiplyPreprimitive.isPreprimitive_ofFixingAddSubgroupstatement · cited by 6
- AddAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- SubAddAction.ofFixingAddSubgroup.appendstatement and proof · cited by 3
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitivestatement and proof · cited by 3
- SubAddAction.addConjMap_ofFixingAddSubgroupstatement and proof · cited by 2
- SubAddAction.map_ofFixingAddSubgroupUnionstatement and proof · cited by 2
- SubAddAction.mem_ofFixingAddSubgroup_iffstatement · cited by 2
- SubAddAction.ofFixingAddSubgroup_equivariantMapstatement and proof · cited by 2
- SubAddAction.ofFixingAddSubgroup_insert_mapstatement and proof · cited by 2
- SubAddAction.ofFixingAddSubgroup_insert_map_bijectivestatement and proof · cited by 2
- SubAddAction.ofFixingAddSubgroup_of_eqstatement and proof · cited by 2
- SubAddAction.addConjMap_ofFixingAddSubgroup_bijectivestatement and proof · cited by 1