Pair Light Closure Prepared21 — all checked

Proved

D1Bound5.PairLightClosurePrepared21.all_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightClosurePrepared21.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_SmallPairPureClosureData21Destinations_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData21Vertices_Definitions
import Definitions.Def_D1Bound5_SmallPairPureClosureData21_Definitions

Formal statement

section
namespace D1Bound5.PairLightClosurePrepared21
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightClosurePrepared21.all_checked :
    pairLightIndexedWitnessesCheckedBool 1 1 a b anchorRoot (10^1100) vertices
      witnesses destinations = true := by sorry

end D1Bound5.PairLightClosurePrepared21
end

Source

D1Bound5/SmallPairPureClosure21.lean, lines 24-115, SHA-256 61459d5bd0d8f75534203a210f44416731d06ea568715d2d347706a8548b614f. Project: https://github.com/tomislav-math/d1-bound5-lean

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