Pair Light Prepared14 — left independent checked

Proved

D1Bound5.PairLightPrepared14.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared14.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_SmallPairLightData14LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared14
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared14.left_independent_checked :
    pairLightSelectedFloorIndependentBool 0 2 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared14
end

Source

D1Bound5/SmallPairLightLeft14.lean, lines 20-45, SHA-256 10628cf5e42f18767c1415f9a8f0aad0342124c383f9d9d555127ce130b5992e. Project: https://github.com/tomislav-math/d1-bound5-lean

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