OAI/Geometry/HyperbolicGroups/LeafFiber.lean
6 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.HyperbolicObstruction.StarModel.leafValuesline 19Source documentation
A total extension of the specified distinct leaf values. The filler only occupies other field names and plays no part in the pinned statistic.
def leafValues (U : Finset F) (b : B ↪ A) (a₀ : A) : Var (B := B) U → A …
Mentions: OAI.HyperbolicObstruction.StarModel.Var
- lemma
OAI.HyperbolicObstruction.StarModel.leafValues_fieldwiseline 25 - lemma
OAI.HyperbolicObstruction.StarModel.leaf_pin_fieldwiseline 32 - def
OAI.HyperbolicObstruction.StarModel.starLeavesline 37 - lemma
OAI.HyperbolicObstruction.StarModel.leaves_eq_iffline 45 - theorem
OAI.HyperbolicObstruction.StarModel.card_leaf_fiberline 65Source documentation
The leaf count is the exact fiber size of the uniform present-star law, not the count of a surrogate independently resampled star.
theorem card_leaf_fiber (support : R → Finset F) (U : Finset F) (e : F) (he : e ∉ U) (w : TableModel.Entry (A := A) support → Bool) (b : B ↪ A) (a₀ : A) : …