Pair Light Prepared5 — left independent checked

Proved

D1Bound5.PairLightPrepared5.left_independent_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared5.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_SmallPairLightData5LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData5LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData5Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared5
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightPrepared5.left_independent_checked :
    pairLightSelectedFloorIndependentBool 0 1 sieve leftCached leftRows = true := by sorry



end D1Bound5.PairLightPrepared5
end

Source

D1Bound5/SmallPairLightLeft5.lean, lines 19-39, SHA-256 03c57ed0e40e97ec72ddf78d02627868c4cc221eb264f35a86edd41e9fdca2a5. Project: https://github.com/tomislav-math/d1-bound5-lean

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