Indexed mutation-closure certificate for prepared pair 8

Proved

D1Bound5.PairLightClosurePrepared8.chunk16_checked

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

diophantine-tuplesnumber-theory

For prepared pair 8, the indexed closure certificate succeeds for at most 64 supplied witness rows. For each row, the two supplied square roots are checked and both signed mutations are verified either by an exact lookup in the complete original vertex list or by a norm strictly exceeding (10^1100). Both signs retain the full original global destination vertex list.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightClosure_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData8Destinations_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData8Vertices_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData8_Definitions

Formal statement

section
namespace D1Bound5.PairLightClosurePrepared8
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightClosurePrepared8.chunk16_checked :
    pairLightIndexedWitnessesPrefixBool 0 1 a b anchorRoot (10^1100) vertices 64
      (witnesses.drop 1024) (destinations.drop 1024) = true := by sorry

end D1Bound5.PairLightClosurePrepared8
end

Source

D1Bound5/SmallPairPureClosure8Chunk16.lean, lines 8-12, SHA-256 4373386ff64989f4d02dda3cc1e8311b818c3770191c7eb4ae1b52d9ce8eeec6. Project: https://github.com/tomislav-math/d1-bound5-lean

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