Theorems · Definition · group theory
FixedPoints.submonoid
(M : Type u) → (α : Type v) → [inst : Monoid M] → [inst_1 : Monoid α] → [MulDistribMulAction M α] → Submonoid α
The submonoid of elements fixed under the whole action.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- MulDistribMulActionstatement and proof · cited by 120
- MulAction.fixedPointsproof · cited by 41
- MulDistribMulAction.smul_oneproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- FixedPoints.subsemiringproof · cited by 3
- FixedPoints.subgroupproof · cited by 2
- FixedPoints.mem_submonoidstatement · cited by 0
- FixedPoints.subgroup_toSubmonoidstatement · cited by 0
- FixedPoints.subringproof · cited by 0