Selected-floor prefix certificate for prepared pair 28, right list, part 8

Proved

D1Bound5.PairLightAdaptivePrepared28.right_parallel_001_part08_checked

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

diophantine-tuplesnumber-theory

For prepared pair 28, right list, part 8, the selected-floor certificate succeeds for at most 6 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 178 through 183, 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_part08_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared28.sieve 6
      (PairLightPrepared28.rightCached.drop 178) (PairLightPrepared28.rightRows.drop 178) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared28
end

Source

D1Bound5/SmallPairParallelRight28_001Part08.lean, lines 10-14, SHA-256 85340acda5b8eddea7a2938bc32efe0c393f2b19fb36808d5eac3a23cf59f33f. Project: https://github.com/tomislav-math/d1-bound5-lean

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