Theorems · Theorem · group theory
MulAction.stabilizer_empty
∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α], MulAction.stabilizer G ∅ = ⊤- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement · cited by 53,352
- 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.mulActionSetstatement · cited by 95
- Set.eq_univ_of_forallproof · cited by 80
- Set.smul_set_emptyproof · cited by 19
- Subgroup.coe_eq_univproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.has_swap_mem_of_lt_stabilizerproof · cited by 1