Theorems · Definition · group theory
Equiv.Perm.ofSubtype
{α : Type u_4} → {p : α → Prop} → [DecidablePred p] → Equiv.Perm (Subtype p) →* Equiv.Perm αThe inclusion map of permutations on a subtype of α into permutations of α,
fixing the other points.
- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 28 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.reflproof · cited by 274
- Equiv.Perm.extendDomainproof · cited by 34
Cited by46
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleOfproof · cited by 59
- Equiv.Perm.ofSubtype_apply_of_not_memstatement · cited by 12
- Equiv.Perm.ofSubtype_apply_of_memstatement · cited by 11
- Equiv.Perm.OnCycleFactors.kerParamproof · cited by 10
- alternatingGroup.ofSubtypeproof · cited by 9
- Equiv.Perm.cycleOf_applyproof · cited by 6
- Equiv.Perm.ofSubtype_apply_coestatement · cited by 5
- Equiv.Perm.commute_ofSubtype_noncommPiCoprodstatement · cited by 5
- Equiv.Perm.subtypeEquivSubtypePermproof · cited by 4
- Equiv.Perm.ofSubtype_injectivestatement and proof · cited by 3
- Equiv.Perm.OnCycleFactors.kerParam_range_eqproof · cited by 3
- Equiv.Perm.sign_ofSubtypestatement · cited by 2