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Theorems · Theorem · group theory

CoxeterSystem.isReflection_simple

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (i : B),
  cs.IsReflection (cs.simple i)
Defined in
Mathlib.GroupTheory.Coxeter.Inversion
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CoxeterSystem.isRightInversion_simple_iff_isRightDescent · cited by 0CoxeterSystem.isRightInve…CoxeterSystem.isLeftInversion_simple_iff_isLeftDescent · cited by 0CoxeterSystem.isLeftInver…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.IsReflection · cited by 17CoxeterSystem.IsReflectionCoxeterSystem.isReflection_si…CITED BYCITES

Cites8

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Cited by2

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