Selected-floor prefix certificate for prepared pair 26, left list, part 4

Proved

D1Bound5.PairLightAdaptivePrepared26.left_prefix_001_part04_checked

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

diophantine-tuplesnumber-theory

For prepared pair 26, left list, part 4, the selected-floor certificate succeeds for at most 3 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 PairLightPrepared26.sieve. Original heads 66 through 68; all later vertices retained.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData26_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData26_Definitions_001

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared26
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared26.left_prefix_001_part04_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared26.sieve 3
      (leftCached001.drop 12) (leftRows001.drop 12) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared26
end

Source

D1Bound5/SmallPairLightAdaptiveLeft26_001Part04.lean, lines 7-11, SHA-256 a8490ff75bddc51f4e390b5b182cf236221c6e33b1ea1363565145521ba6e8bc. Project: https://github.com/tomislav-math/d1-bound5-lean

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