Selected-floor prefix certificate for prepared pair 14, left list

Proved

D1Bound5.PairLightAdaptivePrepared14.left_prefix_001_checked

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

diophantine-tuplesnumber-theory

For prepared pair 14, left list, the selected-floor certificate succeeds for at most 114 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 = 2, and the sieve is PairLightPrepared14.sieve.

Preamble

import Init
import Mathlib.Data.List.Basic
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData14_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared14
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightAdaptivePrepared14.left_prefix_001_checked :
    pairLightSelectedFloorPrefixBool 0 2 PairLightPrepared14.sieve 114
      leftCached001 leftRows001 = true := by sorry

end D1Bound5.PairLightAdaptivePrepared14
end

Source

D1Bound5/SmallPairLightAdaptiveLeft14_001.lean, lines 18-77, SHA-256 18df49564d2aee35406bb04055e230ac3cb4ee07cededca5a43112afb632fbc9. Project: https://github.com/tomislav-math/d1-bound5-lean

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