Theorems · Definition · group theory
CoxeterSystem.alternatingWord
{B : Type u_1} → B → B → ℕ → List BThe word of length m that alternates between i and i', ending with i'.
- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by15
Results whose statement or proof uses this declaration.
- CoxeterSystem.length_alternatingWordstatement and proof · cited by 4
- CoxeterSystem.alternatingWord_succ'statement and proof · cited by 4
- CoxeterSystem.getElem_alternatingWordstatement and proof · cited by 3
- CoxeterSystem.alternatingWord_succstatement · cited by 2
- CoxeterSystem.prod_alternatingWord_eq_prod_alternatingWord_substatement · cited by 2
- CoxeterSystem.braidWordproof · cited by 1
- CoxeterSystem.listTake_alternatingWordstatement and proof · cited by 1
- CoxeterSystem.listTake_succ_alternatingWordstatement and proof · cited by 1
- CoxeterSystem.getElem_alternatingWord_swapIndicesstatement and proof · cited by 1
- CoxeterSystem.getElem_succ_leftInvSeq_alternatingWordstatement and proof · cited by 1
- CoxeterSystem.prod_alternatingWord_eq_mul_powstatement and proof · cited by 1
- CoxeterSystem.alternatingWord.eq_defstatement and proof · cited by 0