Theorems · Theorem · group theory
CoxeterSystem.listTake_succ_alternatingWord
∀ {B : Type u_1} (i j : B) (p k : ℕ),
k + 1 < 2 * p →
List.take (k + 1) (CoxeterSystem.alternatingWord i j (2 * p)) =
i :: List.take k (CoxeterSystem.alternatingWord j i (2 * p))- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Evenproof · cited by 444
- Nat.not_even_iff_oddproof · cited by 34
- CoxeterSystem.alternatingWordstatement and proof · cited by 14
- Even.add_oneproof · cited by 8
- Odd.add_oneproof · cited by 7
- CoxeterSystem.alternatingWord_succ'proof · cited by 4
- CoxeterSystem.listTake_alternatingWordproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CoxeterSystem.getElem_succ_leftInvSeq_alternatingWordproof · cited by 1