Pair Light Closure Prepared15 — all checked

Proved

D1Bound5.PairLightClosurePrepared15.all_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightClosurePrepared15.all_checked in the proof of the bound five for Diophantine D(1) sets in imaginary quadratic integer rings. The formal statement specifies its hypotheses and conclusion; a mathematical prose description remains to be supplied.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightClosure_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData15Destinations_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData15Vertices_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData15_Definitions

Formal statement

section
namespace D1Bound5.PairLightClosurePrepared15
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightClosurePrepared15.all_checked :
    pairLightIndexedWitnessesCheckedBool 0 2 a b anchorRoot (10^1100) vertices
      witnesses destinations = true := by sorry

end D1Bound5.PairLightClosurePrepared15
end

Source

D1Bound5/SmallPairPureClosure15.lean, lines 23-109, SHA-256 aba0d35fc024c6cde311ffed69eef7607269708f41fc712a7d65494fe8df549c. Project: https://github.com/tomislav-math/d1-bound5-lean

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