Pair Light Prepared28 — left coverage checked

Proved

D1Bound5.PairLightPrepared28.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared28.left_coverage_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_SmallPairLightData28LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData28LeftVertices_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared28
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightPrepared28.left_coverage_checked :
    decide (leftCached.map Prod.fst = leftVertices) = true := by sorry







end D1Bound5.PairLightPrepared28
end

Source

D1Bound5/SmallPairLightLeft28.lean, lines 12-14, SHA-256 af533af691858b7c37e90a1326fcffaae5ae290adf72e5baad4fab414545fd44. Project: https://github.com/tomislav-math/d1-bound5-lean

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