Theorems · Theorem · group theory
Equiv.Perm.ofSubtype_mem_stabilizer
∀ {α : Type u_2} {s : Set α} [inst : DecidablePred fun x => x ∈ s] (g : Equiv.Perm ↑s),
Equiv.Perm.ofSubtype g ∈ MulAction.stabilizer (Equiv.Perm α) s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Set.extproof · cited by 2,266
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.apply_symm_applyproof · cited by 346
- MulAction.stabilizerstatement · cited by 254
- Set.mulActionSetstatement · cited by 95
- Equiv.Perm.ofSubtypestatement and proof · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- alternatingGroup.stabilizer.surjective_toPermproof · cited by 2
- Equiv.Perm.stabilizer.surjective_toPermproof · cited by 1