Theorems · Theorem · group theory
MulAction.stabilizer_subset_div_right
∀ {G : Type u_1} [inst : Group G] {a : G} {s : Set G}, a ∈ s → ↑(MulAction.stabilizer G s) ⊆ s / {a}- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- smul_eq_mulproof · cited by 357
- MulAction.stabilizerstatement and proof · cited by 254
- Set.mem_singletonproof · cited by 183
- Set.divstatement · cited by 112
- Set.mulActionSetstatement · cited by 95
- mul_div_cancel_rightproof · cited by 10
- MulAction.mem_stabilizer_setproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.stabilizer_finiteproof · cited by 1