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Theorems · Theorem · group theory

CoxeterSystem.simple_mul_simple_cancel_right

∀ {B : Type u_1} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) {w : W} (i : B),
  w * cs.simple i * cs.simple i = w
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.isRightDescent_iff_not_isRightDescent_mul · cited by 0CoxeterSystem.isRightDesc…Group · cited by 6238Groupmul_one · cited by 3885mul_onemul_assoc · cited by 1667mul_assocCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemCoxeterSystem.simple · cited by 73CoxeterSystem.simpleCoxeterSystem.simple_mul_simple_self · cited by 9CoxeterSystem.simple_mul_…CoxeterSystem.simple_mul_simp…CITED BYCITES

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Cited by1

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