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

Proved

D1Bound5.PairLightAdaptivePrepared8.right_prefix_005_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 25 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 439 through 463, 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_005_part03_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared8.sieve 25
      (PairLightPrepared8.rightCached.drop 439)
      (PairLightPrepared8.rightRows.drop 439) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared8
end

Source

D1Bound5/SmallPairLightAdaptiveRight8_005Part03.lean, lines 11-16, SHA-256 cf0648a4f51d06b49503ec02294d1d64071a1b4f31af9be0b2cea16f30fefe75. Project: https://github.com/tomislav-math/d1-bound5-lean

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