Theorems · Theorem · group theory

Equiv.Perm.support_prod_of_pairwise_disjoint

∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (l : List (Equiv.Perm α)),
  List.Pairwise Equiv.Perm.Disjoint l →
    l.prod.support = List.foldr (fun x1 x2 => x1 ⊔ x2) ⊥ (List.map Equiv.Perm.support l)

Defined in: Mathlib.GroupTheory.Perm.Support
Cited by: 0 results in Mathlib
Foundations: Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq Fintype

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites9

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

Finsetstatement and proof · cited by 13,712
Fintypestatement and proof · cited by 7,736
Bot.botstatement and proof · cited by 4,720
Equiv.Permstatement and proof · cited by 1,375
Equiv.Perm.supportstatement and proof · cited by 230
Equiv.Perm.Disjointstatement and proof · cited by 81
Equiv.Perm.support_oneproof · cited by 10
Equiv.Perm.disjoint_prod_rightproof · cited by 5
Equiv.Perm.Disjoint.support_mulproof · cited by 4

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.