Theorems · Definition · group theory
CoxeterMatrix.simple
{B : Type u_1} → (M : CoxeterMatrix B) → B → M.GroupThe simple reflection of the Coxeter group M.Group at the index i.
- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CoxeterMatrixstatement and proof · cited by 140
- PresentedGroup.ofproof · cited by 12
- CoxeterMatrix.Groupstatement · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- CoxeterMatrix.toCoxeterSystem_simplestatement · cited by 0
- CoxeterMatrix.reindexGroupEquiv_apply_simplestatement · cited by 0
- CoxeterMatrix.reindexGroupEquiv_symm_apply_simplestatement · cited by 0