Theorems · Theorem · group theory
CoxeterSystem.prod_rightInvSeq
∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (ω : List B),
(cs.rightInvSeq ω).prod = (cs.wordProd ω)⁻¹- Defined in
- Mathlib.GroupTheory.Coxeter.Inversion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- inv_oneproof · cited by 301
- mul_inv_revproof · cited by 270
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simpleproof · cited by 73
- mul_inv_cancel_rightproof · cited by 53
- CoxeterSystem.wordProdstatement and proof · cited by 42
- CoxeterSystem.rightInvSeqstatement and proof · cited by 19
- CoxeterSystem.inv_simpleproof · cited by 12
- CoxeterSystem.wordProd_nilproof · cited by 11
- CoxeterSystem.wordProd_consproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- CoxeterSystem.prod_leftInvSeqproof · cited by 0