Theorems · Theorem · group theory
MulAction.stabilizer_finset_empty
∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] [inst_2 : DecidableEq α],
MulAction.stabilizer G ∅ = ⊤- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupMulActionDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Top.topstatement · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement · cited by 254
- Set.eq_univ_of_forallproof · cited by 80
- Finset.mulActionFinsetstatement · cited by 10
- Subgroup.coe_eq_univproof · cited by 5
- Finset.smul_finset_emptyproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.