Theorems · Definition · group theory
FixedPoints.addSubgroup
(M : Type u_1) → (α : Type u_2) → [inst : Monoid M] → [inst_1 : AddGroup α] → [DistribMulAction M α] → AddSubgroup α
The additive subgroup of elements fixed under the whole action.
- Defined in
- Mathlib.Algebra.Ring.Action.Submonoid
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Monoidstatement and proof · cited by 3,887
- AddSubgroupstatement · cited by 3,232
- AddSubmonoidproof · cited by 1,178
- DistribMulActionstatement and proof · cited by 584
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- FixedPoints.addSubmonoidproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- FixedPoints.mem_addSubgroupstatement · cited by 0
- FixedPoints.subringproof · cited by 0
- FixedPoints.addSubgroup_toAddSubmonoidstatement · cited by 0