Selected-floor prefix certificate for prepared pair 18, right list

Proved

D1Bound5.PairLightAdaptivePrepared18.right_prefix_000_checked

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

diophantine-tuplesnumber-theory

For prepared pair 18, right list, the selected-floor certificate succeeds for at most 262 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 PairLightPrepared18.sieve. Heads 0 through 261; every head retains its entire tail.

Preamble

import Init
import Mathlib.Data.List.Basic
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData18_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData18_Definitions_001

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared18
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared18.right_prefix_000_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared18.sieve 262
      rightCached000 rightRows000 = true := by sorry

end D1Bound5.PairLightAdaptivePrepared18
end

Source

D1Bound5/SmallPairLightAdaptiveRight18_000.lean, lines 12-36, SHA-256 17c7e440c161a0c0fd2abd232edc3759d04a40c150862482e5d3c8b4548cb5be. Project: https://github.com/tomislav-math/d1-bound5-lean

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