Selected-floor prefix certificate for prepared pair 4, right list, part 2

Proved

D1Bound5.PairLightAdaptivePrepared4.right_prefix_003_part02_checked

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

diophantine-tuplesnumber-theory

For prepared pair 4, right list, part 2, the selected-floor certificate succeeds for at most 23 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 PairLightPrepared4.sieve. Original heads 296 through 318, retaining complete original tails.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared4
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared4.right_prefix_003_part02_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared4.sieve 23
      (PairLightPrepared4.rightCached.drop 296)
      (PairLightPrepared4.rightRows.drop 296) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared4
end

Source

D1Bound5/SmallPairLightAdaptiveRight4_003Part02.lean, lines 11-16, SHA-256 4b1c0e3ce67c6316622ecf252303802bbeace50ba5de65c6242aba81ff276a5b. Project: https://github.com/tomislav-math/d1-bound5-lean

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