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Theorems · Theorem · group theory

CoxeterSystem.rightInvSeq_singleton

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (i : B),
  cs.rightInvSeq [i] = [cs.simple i]
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
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Around this declaration

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CoxeterSystem.rightInvSeq_concat · cited by 0CoxeterSystem.rightInvSeq…Group · cited by 6238Groupmul_one · cited by 3885mul_oneone_mul · cited by 2841one_mulinv_one · cited by 301inv_oneCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemCoxeterSystem.simple · cited by 73CoxeterSystem.simpleCoxeterSystem.rightInvSeq · cited by 19CoxeterSystem.rightInvSeqCoxeterSystem.wordProd_nil · cited by 11CoxeterSystem.wordProd_nilCoxeterSystem.rightInvSeq_sin…CITED BYCITES

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