Theorems · Definition · group theory
DomMulAct.stabilizerMulEquiv
{α : Type u_1} →
{ι : Type u_2} →
(f : α → ι) → (↥(MulAction.stabilizer (Equiv.Perm α)ᵈᵐᵃ f))ᵐᵒᵖ ≃* ((i : ι) → Equiv.Perm { a // f a = i })The MulEquiv from the MulOpposite of MulAction.stabilizer (Perm α)ᵈᵐᵃ f
to the product of the Equiv.Perm {a // f a = i}
- Defined in
- Mathlib.GroupTheory.Perm.DomMulAct
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 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.
- DFunLike.coeproof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- MulEquivstatement · cited by 1,142
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.unopproof · cited by 268
- MulAction.stabilizerstatement and proof · cited by 254
- DomMulActstatement and proof · cited by 71
- DomMulAct.mkproof · cited by 56
- Equiv.Perm.subtypePermproof · cited by 35
- DomMulAct.stabilizerEquiv_invFun_auxproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- DomMulAct.stabilizer_cardproof · cited by 2
- DomMulAct.stabilizerMulEquiv_applystatement · cited by 0