Theorems · Theorem · group theory
AddSubgroup.mem_inertia
∀ {M : Type u_6} [inst : AddGroup M] {I : AddSubgroup M} {G : Type u_7} [inst_1 : Group G] [inst_2 : MulAction G M]
{σ : G}, σ ∈ I.inertia G ↔ ∀ (x : M), σ • x - x ∈ I- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
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- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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- Groupstatement and proof · cited by 6,238
- AddGroupstatement and proof · cited by 4,410
- Subgroupstatement · cited by 3,593
- AddSubgroupstatement and proof · cited by 3,232
- MulActionstatement and proof · cited by 1,294
- AddSubgroup.inertiastatement · cited by 6
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