Theorems · Theorem · group theory
Equiv.Perm.stabilizer_ne_top_of_nonempty_of_nonempty_compl
∀ {α : Type u_2} {s : Set α}, s.Nonempty → sᶜ.Nonempty → MulAction.stabilizer (Equiv.Perm α) s ≠ ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Top.topstatement and proof · cited by 9,680
- Subgroupstatement · cited by 3,593
- Compl.complstatement and proof · cited by 2,925
- Set.Nonemptystatement and proof · cited by 2,627
- Equiv.Permstatement and proof · cited by 1,375
- MulAction.stabilizerstatement and proof · cited by 254
- Equiv.swapproof · cited by 197
- Set.mulActionSetstatement · cited by 95
- Set.mem_compl_iffproof · cited by 53
- MulAction.mem_stabilizer_iffproof · cited by 20
- Set.mem_smul_setproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.isCoatom_stabilizer_of_ncard_lt_ncard_complproof · cited by 1