Selected-floor prefix certificate for prepared pair 30, left list, part 15

Proved

D1Bound5.PairLightAdaptivePrepared30.left_parallel_002_part15_checked

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

diophantine-tuplesnumber-theory

For prepared pair 30, left list, part 15, 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 PairLightPrepared30.sieve. Original heads 392 through 403, with every original tail comparison.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData30LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData30LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData30Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared30
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared30.left_parallel_002_part15_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared30.sieve 12
      (PairLightPrepared30.leftCached.drop 392) (PairLightPrepared30.leftRows.drop 392) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared30
end

Source

D1Bound5/SmallPairParallelLeft30_002Part15.lean, lines 10-14, SHA-256 1071b524822ec81790a75d78162c6829e44c5d23f5a8fea4235255bf51141cc4. Project: https://github.com/tomislav-math/d1-bound5-lean

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