OAI/Topology/ArtinGroups/ParabolicIntersections/BraidRestriction.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Positive braid derivations restrict to a full subdiagram.
- lemma
OAI.HarmonicArtin.ParabolicIntersections.positive_consline 15Distinct definitions of this name: OAI/Topology/ArtinGroups/ParabolicIntersections/FoldingHead.lean:21 (different declaration text). Qualify references as OAI.HarmonicArtin.ParabolicIntersections.positive_cons@path.
- theorem
OAI.HarmonicArtin.ParabolicIntersections.positiveBraidRel_restrictline 21Source documentation
No braid move can introduce a vertex outside the original support. Inside a full subdiagram every move is a defining positive Artin relation.
theorem positiveBraidRel_restrict [Nonempty S] {v w : List V} (h : PositiveBraidRel Q v w) (hv : ∀ x ∈ v, x ∈ Set.range f) : wordPositive N (v.map (Function.invFun f)) = wordPositive N (w.map (Function.invFun f)) := by …Mentions: OAI.HarmonicArtin.wordPositive