Mathlib Map

Theorems · Definition · group theory

CoxeterSystem.wordProd

{B : Type u_1} → {W : Type u_3} → [inst : Group W] → {M : CoxeterMatrix B} → CoxeterSystem M W → List B → W

The product of the simple reflections of W corresponding to the indices in ω.

Defined in
Mathlib.GroupTheory.Coxeter.Basic
Cited by
42 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group

Around this declaration

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

Cites4

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

Cited by43

Results whose statement or proof uses this declaration.