Mathlib Map

Theorems · Theorem · group theory

CoxeterSystem.IsReflection.conj

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} {cs : CoxeterSystem M W} {t : W},
  cs.IsReflection t → ∀ (w : W), cs.IsReflection (w * t * w⁻¹)
Defined in
Mathlib.GroupTheory.Coxeter.Inversion
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CoxeterSystem.isReflection_conj_iff · cited by 0CoxeterSystem.isReflectio…Group · cited by 6238GroupCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemCoxeterSystem.simple · cited by 73CoxeterSystem.simpleCoxeterSystem.IsReflection · cited by 17CoxeterSystem.IsReflectionmul_zpow_neg_one · cited by 6mul_zpow_neg_oneIsReflection.conjCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.