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Pair Light Prepared26 — left independent checked

Proved
D1Bound5.PairLightPrepared26.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared26.left_independent_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 Mathlib.Data.List.Basic
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData26_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData26_Definitions_003
import Definitions.Def_D1Bound5_SmallPairLightData26_Definitions_005

Formal statement
section
namespace D1Bound5.PairLightPrepared26
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared26.left_independent_checked :
    pairLightSelectedFloorIndependentBool 1 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared26
end
Source
D1Bound5/SmallPairLightLeft26.lean, lines 24-69, SHA-256 0ed33986a37326e5e93891ccea34a72e2c62d52f29a66de3acc03e836075062d. Project: https://github.com/tomislav-math/d1-bound5-lean

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