Pair Light Prepared10 — left coverage checked

Proved

D1Bound5.PairLightPrepared10.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared10.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_SmallPairLightData10LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData10LeftVertices_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared10
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightPrepared10.left_coverage_checked :
    decide (leftCached.map Prod.fst = leftVertices) = true := by sorry







end D1Bound5.PairLightPrepared10
end

Source

D1Bound5/SmallPairLightLeft10.lean, lines 13-15, SHA-256 8a286ebf2503941e5e80effbb04c5e0d017510c0b881634d92f13c2bac48d730. Project: https://github.com/tomislav-math/d1-bound5-lean

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