Theorems · Definition · group theory

Equiv.Perm.iwasawaStructure_two

{α : Type u_1} →
  [Finite α] →
    [inst : DecidableEq α] →
      [(s : Set α) → DecidablePred fun x => x ∈ s] → MulAction.IwasawaStructure (Equiv.Perm α) ↑(Set.powersetCard α 2)

The Iwasawa structure of Perm α acting on Set.powersetCard α 2.

Defined in: Mathlib.GroupTheory.SpecificGroups.Alternating.Simple
Cited by: 1 results in Mathlib
Foundations: Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Finite DecidableEq DecidablePred

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Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
Finsetstatement · cited by 13,712
Set.Elemstatement and proof · cited by 7,166
Finitestatement and proof · cited by 3,029
Equiv.Permstatement and proof · cited by 1,375
MonoidHom.rangeproof · cited by 314
Set.powersetCardstatement and proof · cited by 100
Equiv.Perm.ofSubtypeproof · cited by 41
MulAction.IwasawaStructurestatement · cited by 8

Cited by1

Results whose statement or proof uses this declaration.

Equiv.Perm.alternatingGroup_le_of_normalproof · cited by 0