Theorems · Theorem · group theory
Equiv.Perm.Basis.toCentralizer_apply
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} (a : g.Basis)
(τ : ↥(Equiv.Perm.OnCycleFactors.range_toPermHom' g)) (x : α), ↑(a.toCentralizer τ) x = a.ofPermHomFun τ x- Defined in
- Mathlib.GroupTheory.Perm.Centralizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Subgroup.centralizerstatement · cited by 65
- Equiv.Perm.Basisstatement and proof · cited by 25
- Equiv.Perm.OnCycleFactors.range_toPermHom'statement and proof · cited by 16
- Equiv.Perm.Basis.ofPermHomFunstatement · cited by 9
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