Theorems · Theorem · group theory

CoxeterSystem.lift_apply_simple

∀ {B : Type u_1} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) {G : Type u_5}
  [inst_1 : Monoid G] {f : B → G} (hf : M.IsLiftable f) (i : B), (cs.lift ⟨f, hf⟩) (cs.simple i) = f i

Defined in

Mathlib.GroupTheory.Coxeter.Basic

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMonoid