Theorems · Theorem · group theory

CoxeterSystem.getElem_rightInvSeq

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (ω : List B) (j : ℕ)
  (h : j < ω.length),
  (cs.rightInvSeq ω)[j] =
    (cs.wordProd (List.drop (j + 1) ω))⁻¹ * (Option.map cs.simple ω[j]?).getD 1 * cs.wordProd (List.drop (j + 1) ω)

Defined in

Mathlib.GroupTheory.Coxeter.Inversion

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Group