Selected-floor prefix certificate for prepared pair 28, right list, part 4

Proved

D1Bound5.PairLightAdaptivePrepared28.right_parallel_001_part04_checked

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

diophantine-tuplesnumber-theory

For prepared pair 28, right list, part 4, the selected-floor certificate succeeds for at most 12 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 = 1 and ν = 1, and the sieve is PairLightPrepared28.sieve. Original heads 130 through 141, with every original tail comparison.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData28RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData28RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData28Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared28
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared28.right_parallel_001_part04_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared28.sieve 12
      (PairLightPrepared28.rightCached.drop 130) (PairLightPrepared28.rightRows.drop 130) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared28
end

Source

D1Bound5/SmallPairParallelRight28_001Part04.lean, lines 10-14, SHA-256 6016996f39158e66e9c931338d3f5a8ab035ef465e510690475ced61d861b68f. Project: https://github.com/tomislav-math/d1-bound5-lean

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