Pair Light Prepared8 — left independent checked

Proved

D1Bound5.PairLightPrepared8.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared8.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_SmallPairLightData8LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared8
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared8.left_independent_checked :
    pairLightSelectedFloorIndependentBool 0 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared8
end

Source

D1Bound5/SmallPairLightLeft8.lean, lines 23-63, SHA-256 9c509263ae7bf0d2625066a890f1641b3525f99942936b371d2fe405c489ab1c. Project: https://github.com/tomislav-math/d1-bound5-lean

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