OAI/Geometry/HyperbolicGroups/LeafMargin.lean
8 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.HyperbolicObstruction.StarModel.coord_eq_inrline 18 - lemma
OAI.HyperbolicObstruction.StarModel.rowSupport_nonemptyline 27 - lemma
OAI.HyperbolicObstruction.StarModel.selected_activeline 32 - def
OAI.HyperbolicObstruction.StarModel.leafPinsline 60Source documentation
The entire e-field, in all branches, is pinned in the leaf count.
def leafPins (U : Finset F) (e : F) : Finset (Var (B := B) U) := …
Mentions: OAI.HyperbolicObstruction.StarModel.Var
- lemma
OAI.HyperbolicObstruction.StarModel.mem_leafPinsline 64 - lemma
OAI.HyperbolicObstruction.StarModel.card_inter_leafline 68 - lemma
OAI.HyperbolicObstruction.StarModel.free_card_leafline 100 - theorem
OAI.HyperbolicObstruction.StarModel.leaf_critical_gapline 115Source documentation
Exact critical excess for the shared unconditioned entries in a leaf count. Every nonempty selected set is a genuine union of row supports.
theorem leaf_critical_gap (P : SparsePattern.Pattern F R) (U : Finset F) (e : F) (he : e ∉ U) (budget : ∀ W : Finset F, (min 2 W.card : ℕ) ≤ P.exponent W) (supports : ∀ r, 3 ≤ (P.support r).card) (gap : ∀ W, W.Nonempty → Disjoint U W → 1 ≤ P.exponent (U ∪ W) - P.exponent U) (J : Finset (Pos (B := B) P.support U)) (hJ : J.Nonempty) : …Mentions: OAI.HyperbolicObstruction.SparsePattern.Pattern, OAI.HyperbolicObstruction.StarModel.Pos