Theorems · Theorem · group theory
Equiv.Perm.disjoint_ofSubtype_of_memFixedPoints_self
∀ {α : Type u} [inst : DecidableEq α] {g : Equiv.Perm α} (u : Equiv.Perm ↑(Function.fixedPoints ⇑g)),
(Equiv.Perm.ofSubtype u).Disjoint g- Defined in
- Mathlib.GroupTheory.Perm.Finite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement and proof · cited by 1,375
- Function.fixedPointsstatement and proof · cited by 90
- Equiv.Perm.Disjointstatement · cited by 81
- Equiv.Perm.ofSubtypestatement · cited by 41
- Equiv.Perm.ofSubtype_apply_of_not_memproof · cited by 12
- Equiv.Perm.disjoint_iff_eq_or_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.disjoint_ofSubtype_noncommPiCoprodproof · cited by 2