Pair Light Prepared12 — left independent checked

Proved

D1Bound5.PairLightPrepared12.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared12.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_SmallPairLightData12_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData12_Definitions_002
import Definitions.Def_D1Bound5_SmallPairLightData12_Definitions_003

Formal statement

section
namespace D1Bound5.PairLightPrepared12
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared12.left_independent_checked :
    pairLightSelectedFloorIndependentBool 0 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared12
end

Source

D1Bound5/SmallPairLightLeft12.lean, lines 18-33, SHA-256 e3689d767b8df39c808a0b38cb0215411821c77ab4eb96e105aca835bdef82b2. Project: https://github.com/tomislav-math/d1-bound5-lean

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