Selected-floor prefix certificate for prepared pair 8, right list, part 1

Proved

D1Bound5.PairLightAdaptivePrepared8.right_prefix_005_part01_checked

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

diophantine-tuplesnumber-theory

For prepared pair 8, right list, part 1, the selected-floor certificate succeeds for at most 21 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 395 through 415, 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_part01_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared8.sieve 21
      (PairLightPrepared8.rightCached.drop 395)
      (PairLightPrepared8.rightRows.drop 395) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared8
end

Source

D1Bound5/SmallPairLightAdaptiveRight8_005Part01.lean, lines 11-16, SHA-256 2bb4db667ce21c30cfcb65f7bc34b65d7aeab73650feac412c8e42bb1e39aabc. Project: https://github.com/tomislav-math/d1-bound5-lean

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