Theorems · Theorem · group theory

CoxeterSystem.isRightInversion_simple_iff_isRightDescent

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (w : W) (i : B),
  cs.IsRightInversion w (cs.simple i) ↔ cs.IsRightDescent w i

Defined in

Mathlib.GroupTheory.Coxeter.Inversion

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Group