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Theorems · Theorem · group theory

CoxeterSystem.simple_sq

∀ {B : Type u_1} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (i : B),
  cs.simple i ^ 2 = 1
Defined in
Mathlib.GroupTheory.Coxeter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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CoxeterSystem.IsReflection.pow_two · cited by 0IsReflection.pow_twoGroup · cited by 6238Grouppow_two · cited by 150pow_twoCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemCoxeterSystem.simple · cited by 73CoxeterSystem.simpleCoxeterSystem.simple_mul_simple_self · cited by 9CoxeterSystem.simple_mul_…CoxeterSystem.simple_sqCITED BYCITES

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