Prove2Me

Pair Light Closure Prepared6 — all checked

Proved
D1Bound5.PairLightClosurePrepared6.all_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightClosurePrepared6.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_SmallPairPureClosureData6Destinations_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData6Vertices_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData6_Definitions
Formal statement
section
namespace D1Bound5.PairLightClosurePrepared6
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightClosurePrepared6.all_checked :
    pairLightIndexedWitnessesCheckedBool 0 1 a b anchorRoot (10^1100) vertices
      witnesses destinations = true := by sorry

end D1Bound5.PairLightClosurePrepared6
end
Source
D1Bound5/SmallPairPureClosure6.lean, lines 28-139, SHA-256 9d8d5c7946a6d1703c9e1bba6bf9eb86853e56c67605f979c57e2e3193dfe1fc. Project: https://github.com/tomislav-math/d1-bound5-lean

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