Pair Light Adaptive Prepared8 — left coverage checked

Proved

D1Bound5.PairLightAdaptivePrepared8.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared8.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 Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData8LeftVertices_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared8
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightAdaptivePrepared8.left_coverage_checked :
    decide (PairLightPrepared8.leftCached.map Prod.fst = PairLightPrepared8.leftVertices) = true := by sorry








end D1Bound5.PairLightAdaptivePrepared8
end

Source

D1Bound5/SmallPairLightAdaptiveValidation8.lean, lines 7-9, SHA-256 fd75ba06b6ec1ed2537f6b5c98f8bf53f621f9d4f3d6505e8dc91fc7b9acfb47. Project: https://github.com/tomislav-math/d1-bound5-lean

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