Selected-floor prefix certificate for prepared pair 8, right list, part 2

Proved

D1Bound5.PairLightAdaptivePrepared8.right_prefix_002_part02_checked

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

diophantine-tuplesnumber-theory

For prepared pair 8, right list, part 2, 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 = 0 and ν = 1, and the sieve is PairLightPrepared8.sieve. Original heads 143 through 154, 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_002_part02_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared8.sieve 12
      (PairLightPrepared8.rightCached.drop 143)
      (PairLightPrepared8.rightRows.drop 143) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared8
end

Source

D1Bound5/SmallPairLightAdaptiveRight8_002Part02.lean, lines 11-16, SHA-256 510664b209296fff765d4df68e7e2bb1dd459b3f0b1a8437886b10677249b854. Project: https://github.com/tomislav-math/d1-bound5-lean

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