Theorems · Theorem · group theory
AddAction.mem_stabilizer_set_iff_subset_vadd_set
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] {a : G} {s : Set α},
s.Finite → (a ∈ AddAction.stabilizer G s ↔ s ⊆ a +ᵥ s)- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HVAdd.hVAddstatement and proof · cited by 1,820
- Set.Finitestatement and proof · cited by 1,814
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- AddAction.stabilizerstatement · cited by 112
- Finset.coe_subsetproof · cited by 93
- Set.addActionSetstatement · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.IsBlock.of_subsetproof · cited by 1