Theorems · Definition · group theory
CoxeterMatrix.toCoxeterSystem
{B : Type u_1} → (M : CoxeterMatrix B) → CoxeterSystem M M.GroupThe canonical Coxeter system on the Coxeter group associated to M.
- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement · cited by 126
- MulEquiv.reflproof · cited by 33
- CoxeterMatrix.Groupstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- CoxeterMatrix.toCoxeterSystem_simplestatement · cited by 0