Theorems · Theorem · group theory
CoxeterSystem.isReflection_of_mem_rightInvSeq
∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (ω : List B) {t : W},
t ∈ cs.rightInvSeq ω → cs.IsReflection t- Defined in
- Mathlib.GroupTheory.Coxeter.Inversion
- Cited by
- 3 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.
Cites10
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
- mul_oneproof · cited by 3,885
- neg_negproof · cited by 960
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simpleproof · cited by 73
- CoxeterSystem.wordProdproof · cited by 42
- zpow_oneproof · cited by 41
- CoxeterSystem.rightInvSeqstatement and proof · cited by 19
- CoxeterSystem.IsReflectionstatement and proof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- CoxeterSystem.isReflection_of_mem_leftInvSeqproof · cited by 1
- CoxeterSystem.prod_leftInvSeqproof · cited by 0
- CoxeterSystem.isRightInversion_of_mem_rightInvSeqproof · cited by 0