Selected-floor prefix certificate for prepared pair 8, right list, part 3

Proved

D1Bound5.PairLightAdaptivePrepared8.right_prefix_006_part03_checked

by tp · Oct 24, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

For prepared pair 8, right list, part 3, the selected-floor certificate succeeds for at most 53 head rows of the supplied cached vertex list. Each selected head is checked against its complete remaining tail, including vertices beyond the end of this chunk. The quadratic coordinate parameters are τ = 0 and ν = 1, and the sieve is PairLightPrepared8.sieve. Original heads 665 through 717, retaining complete original tails.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared8
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared8.right_prefix_006_part03_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared8.sieve 53
      (PairLightPrepared8.rightCached.drop 665)
      (PairLightPrepared8.rightRows.drop 665) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared8
end

Source

D1Bound5/SmallPairLightAdaptiveRight8_006Part03.lean, lines 11-16, SHA-256 0d2269640550aa4cf12407e95c8a7284a46d5a3559c3bb67d462ed290fcbcad1. Project: https://github.com/tomislav-math/d1-bound5-lean

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