Theorems · Theorem · group theory
CoxeterSystem.isReflection_conj_iff
∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (w t : W),
cs.IsReflection (w * t * w⁻¹) ↔ cs.IsReflection t- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- one_mulproof · cited by 2,841
- inv_invproof · cited by 494
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- inv_mul_cancelproof · cited by 107
- inv_mul_cancel_rightproof · cited by 70
- CoxeterSystem.IsReflectionstatement and proof · cited by 17
- CoxeterSystem.IsReflection.conjproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.