Theorems · Theorem · group theory
FixedPoints.mem_addSubgroup
∀ (M : Type u_1) (α : Type u_2) [inst : Monoid M] [inst_1 : AddGroup α] [inst_2 : DistribMulAction M α] (a : α), a ∈ FixedPoints.addSubgroup M α ↔ ∀ (m : M), m • a = a
- Defined in
- Mathlib.Algebra.Ring.Action.Submonoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
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Cites5
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
- DistribMulActionstatement and proof · cited by 584
- FixedPoints.addSubgroupstatement · cited by 2
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