Pair Light Closure Prepared10 — all checked

Proved

D1Bound5.PairLightClosurePrepared10.all_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightClosurePrepared10.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_SmallPairPureClosureData10Destinations_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData10Vertices_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData10_Definitions

Formal statement

section
namespace D1Bound5.PairLightClosurePrepared10
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightClosurePrepared10.all_checked :
    pairLightIndexedWitnessesCheckedBool 0 1 a b anchorRoot (10^1100) vertices
      witnesses destinations = true := by sorry

end D1Bound5.PairLightClosurePrepared10
end

Source

D1Bound5/SmallPairPureClosure10.lean, lines 26-127, SHA-256 a46ec9b208a22f4f3b93abd2797b136cdd06713914efa83c09cff3492af3c8e6. Project: https://github.com/tomislav-math/d1-bound5-lean

View graph