Selected-floor prefix certificate for prepared pair 44, left list

Proved

D1Bound5.PairLightAdaptivePrepared44.left_prefix_000_checked

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

diophantine-tuplesnumber-theory

For prepared pair 44, left list, the selected-floor certificate succeeds for at most 220 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 = 4, and the sieve is PairLightPrepared44.sieve. Heads 0 through 219; every head retains its entire tail.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData44_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData44_Definitions_001

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared44
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared44.left_prefix_000_checked :
    pairLightSelectedFloorPrefixBool 1 4 PairLightPrepared44.sieve 220
      leftCached000 leftRows000 = true := by sorry

end D1Bound5.PairLightAdaptivePrepared44
end

Source

D1Bound5/SmallPairLightAdaptiveLeft44_000.lean, lines 7-11, SHA-256 7ef582e15ed47e4b6c707ad95191141eb8d58fa430c5694a3a98756fb220bec8. Project: https://github.com/tomislav-math/d1-bound5-lean

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