Theorems · Theorem · group theory
CoxeterSystem.isLeftDescent_inv_iff
∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) {w : W} {i : B},
cs.IsLeftDescent w⁻¹ i ↔ cs.IsRightDescent w i- Defined in
- Mathlib.GroupTheory.Coxeter.Length
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 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.
Cites11
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
- inv_invproof · cited by 494
- mul_inv_revproof · cited by 270
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simpleproof · cited by 73
- CoxeterSystem.lengthproof · cited by 41
- CoxeterSystem.inv_simpleproof · cited by 12
- CoxeterSystem.IsLeftDescentstatement · cited by 8
- CoxeterSystem.IsRightDescentstatement · cited by 8
- CoxeterSystem.length_invproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- CoxeterSystem.isRightDescent_inv_iffproof · cited by 0