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Theorems · Theorem · group theory

CoxeterSystem.isReflection_of_mem_leftInvSeq

∀ {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.leftInvSeq ω → cs.IsReflection t
Defined in
Mathlib.GroupTheory.Coxeter.Inversion
Cited by
1 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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CoxeterSystem.isLeftInversion_of_mem_leftInvSeq · cited by 0CoxeterSystem.isLeftInver…Group · cited by 6238GroupCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemCoxeterSystem.leftInvSeq · cited by 18CoxeterSystem.leftInvSeqCoxeterSystem.IsReflection · cited by 17CoxeterSystem.IsReflectionCoxeterSystem.isReflection_of_mem_rightInvSeq · cited by 3CoxeterSystem.isReflectio…CoxeterSystem.isReflection_of…CITED BYCITES

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