Pair Light Prepared6 — left independent checked

Proved

D1Bound5.PairLightPrepared6.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared6.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_SmallPairLightData6LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared6
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared6.left_independent_checked :
    pairLightSelectedFloorIndependentBool 0 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared6
end

Source

D1Bound5/SmallPairLightLeft6.lean, lines 22-57, SHA-256 712999cb878515b4a3babbb3ed052f5444eb26fa8360e33c44c141bf67e71086. Project: https://github.com/tomislav-math/d1-bound5-lean

View graph