Selected-floor prefix certificate for prepared pair 3, right list, part 9

Proved

D1Bound5.PairLightAdaptivePrepared3.right_prefix_000_part09_checked

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

diophantine-tuplesnumber-theory

For prepared pair 3, right list, part 9, 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 = 0 and ν = 1, and the sieve is PairLightPrepared3.sieve. Original heads 108 through 110, each checked against its complete tail.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData3Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData3RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData3RightRows_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared3
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared3.right_prefix_000_part09_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared3.sieve 3
      (PairLightPrepared3.rightCached.drop 108)
      (PairLightPrepared3.rightRows.drop 108) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared3
end

Source

D1Bound5/SmallPairLightAdaptiveRight3_000Part09.lean, lines 10-15, SHA-256 6a4ab90d3f7884d8fc2c530aa9d758cb475f91fc0271472e3eb7879514323f56. Project: https://github.com/tomislav-math/d1-bound5-lean

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