Prove2Me

Pair Light Closure Prepared8 — all checked

Proved
D1Bound5.PairLightClosurePrepared8.all_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightClosurePrepared8.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_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.all_checked :
    pairLightIndexedWitnessesCheckedBool 0 1 a b anchorRoot (10^1100) vertices
      witnesses destinations = true := by sorry

end D1Bound5.PairLightClosurePrepared8
end
Source
D1Bound5/SmallPairPureClosure8.lean, lines 30-151, SHA-256 fbcab03c5e9ef1a38ea7bac8c07d78fa2e8dc5221341b21d454299f944cedec3. Project: https://github.com/tomislav-math/d1-bound5-lean

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