Theorems · Theorem · group theory
CoxeterSystem.IsReflection.pow_two
∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} {cs : CoxeterSystem M W} {t : W},
cs.IsReflection t → t ^ 2 = 1- Defined in
- Mathlib.GroupTheory.Coxeter.Inversion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- CoxeterMatrixstatement and proof · cited by 140
- mul_inv_cancelproof · cited by 128
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simpleproof · cited by 73
- CoxeterSystem.IsReflectionstatement and proof · cited by 17
- conj_powproof · cited by 2
- CoxeterSystem.simple_sqproof · cited by 1
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