Theorems · Theorem · group theory
alternatingGroup.stabilizer.surjective_toPerm
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {s : Set α},
sᶜ.Nontrivial → Function.Surjective MulAction.toPerm- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- mul_oneproof · cited by 3,885
- Subgroupstatement · cited by 3,593
- Compl.complstatement and proof · cited by 2,925
- Disjointproof · cited by 2,201
- Equiv.Permstatement and proof · cited by 1,375
- neg_negproof · cited by 960
- mul_negproof · cited by 590
Cited by2
Results whose statement or proof uses this declaration.
- alternatingGroup.stabilizer_isPreprimitiveproof · cited by 1