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cdec422 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | import OAI.LinearAlgebra.MatrixMultiplication.FieldHistory.ProducedMaskCore
import OAI.LinearAlgebra.MatrixMultiplication.FieldHistory.MaskCore
namespace OAI
/-! Finite extraction histories, inherited masks and recovery bounds. -/
noncomputable section
namespace MatrixMultiplication.AllFieldHistoryProducedMasks
open MatrixMultiplication.Foundation AllFieldParameters AllFieldHistory
open AllFieldHistoryChildLaws AllFieldHistoryMasks InheritedMasks
open JointCanonicalization
open scoped BigOperators
attribute [local instance] Classical.propDecidable Classical.decEq
variable {K tick : ℕ}
theorem childWindows_of_produced_masks (allocation : Allocation) (dilation : ℕ)
{ε : ℝ} (hε : 0 ≤ ε) (side : Fin 3)
(x : ProducedWords (K := K) (tick := tick) allocation dilation)
(hx : ∀ h : Produced K tick, residentMask allocation dilation ε h.val side (x h)) :
AllFieldHistoryMasks.childWindows allocation dilation ε side
(regroupWords allocation dilation x) :=
canonicalWindows_of_produced_masks allocation dilation hε side x hx
end MatrixMultiplication.AllFieldHistoryProducedMasks
end
end OAI
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