Theorems · Theorem · group theory
AddSubgroup.coe_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]
{H : Subgroup G} {σ : ↥H}, ↑σ ∈ I.inertia G ↔ σ ∈ I.inertia ↥H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- AddGroupstatement and proof · cited by 4,410
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement and proof · cited by 3,232
- MulActionstatement and proof · cited by 1,294
- AddSubgroup.inertiastatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.coe_mem_inertiaproof · cited by 0