Selected-floor prefix certificate for prepared pair 21, left list

Proved

D1Bound5.PairLightAdaptivePrepared21.left_prefix_003_checked

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

diophantine-tuplesnumber-theory

For prepared pair 21, left list, the selected-floor certificate succeeds for at most 189 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 PairLightPrepared21.sieve.

Preamble

import Init
import Mathlib.Data.List.Basic
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData21_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData21Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared21
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightAdaptivePrepared21.left_prefix_003_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared21.sieve 189
      leftCached003 leftRows003 = true := by sorry

end D1Bound5.PairLightAdaptivePrepared21
end

Source

D1Bound5/SmallPairLightAdaptiveLeft21_003.lean, lines 24-119, SHA-256 ffe3f40bb5e722a5270213e1cff005d4a4f7b087397941e59cffa198e808ed7f. Project: https://github.com/tomislav-math/d1-bound5-lean

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