OAI/Combinatorics/EditApproximation/Coarse/CoarseIndexedInitial.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.EditApproximation.BinaryFraction.coarseIndexedRootWithWork_valueline 13 - theorem
OAI.EditApproximation.BinaryFraction.coarseIndexedCandidateWithWork_valueline 28 - theorem
OAI.EditApproximation.BinaryFraction.coarseIndexedInitialWithWork_valueline 39Source documentation
The final coarse initializer executes the indexed roots and retains only their integer-clamped minimum.
theorem coarseIndexedInitialWithWork_value {B d : ℕ} (q L N : ℕ) (hB : 0 < B) (hq : 0 < q) (hL : 0 < L) (x y : List ℕ) (draws : CoarseGuessIndex (coarseEntryWidth x y) → CoarseThresholdDraws B d) : (coarseIndexedInitialWithWork q L N hB hq hL x y draws).1 = coarseInitialValue B d q (1 / L) N x y draws := by …Mentions: OAI.EditApproximation.CoarseGuessIndex, OAI.EditApproximation.coarseEntryWidth, OAI.EditApproximation.CoarseThresholdDraws, OAI.EditApproximation.BinaryFraction.coarseIndexedInitialWithWork, OAI.EditApproximation.coarseInitialValue