Theorems · Definition · group theory

CoxeterSystem.reindex

{B : Type u_1} →
  {B' : Type u_2} →
    {W : Type u_3} →
      [inst : Group W] →
        {M : CoxeterMatrix B} → CoxeterSystem M W → (e : B ≃ B') → CoxeterSystem (CoxeterMatrix.reindex e M) W

Reindex a Coxeter system through a bijection of the indexing sets.

Defined in

Mathlib.GroupTheory.Coxeter.Basic

Cited by

2 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Group