Mathlib Map

Theorems · Definition · group theory

FixedPoints.addSubmonoid

(M : Type u_1) → (α : Type u_2) → [inst : Monoid M] → [inst_1 : AddMonoid α] → [DistribMulAction M α] → AddSubmonoid α

The additive submonoid of elements fixed under the whole action.

Defined in
Mathlib.Algebra.Ring.Action.Submonoid
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
MonoidAddMonoidDistribMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FixedPoints.subsemiring · cited by 3FixedPoints.subsemiringFixedPoints.addSubgroup · cited by 2FixedPoints.addSubgroupFixedPoints.mem_addSubmonoid · cited by 0FixedPoints.mem_addSubmon…FixedPoints.addSubgroup_toAddSubmonoid · cited by 0FixedPoints.addSubgroup_t…Monoid · cited by 3887MonoidAddMonoid · cited by 2864AddMonoidAddSubmonoid · cited by 1178AddSubmonoidDistribMulAction · cited by 584DistribMulActionMulAction.fixedPoints · cited by 41MulAction.fixedPointsFixedPoints.addSubmonoidCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.