Pair Light Prepared19 — left independent checked

Proved

D1Bound5.PairLightPrepared19.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared19.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_SmallPairLightData19LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData19LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData19Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared19
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared19.left_independent_checked :
    pairLightSelectedFloorIndependentBool 1 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared19
end

Source

D1Bound5/SmallPairLightLeft19.lean, lines 19-39, SHA-256 1b3300d74d2cca9bfee8b20a0b1ca45e7f3616ea6d7a6b981bdaf5703f4b0416. Project: https://github.com/tomislav-math/d1-bound5-lean

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