Pair Light Adaptive Prepared6 — left coverage checked

Proved

D1Bound5.PairLightAdaptivePrepared6.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared6.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_SmallPairLightData6LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6LeftVertices_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared6
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightAdaptivePrepared6.left_coverage_checked :
    decide (PairLightPrepared6.leftCached.map Prod.fst = PairLightPrepared6.leftVertices) = true := by sorry








end D1Bound5.PairLightAdaptivePrepared6
end

Source

D1Bound5/SmallPairLightAdaptiveValidation6.lean, lines 7-9, SHA-256 28ec548a27c1621ae0a615dd43968304121b99bbb142ea55bc0b3cf0666d651c. Project: https://github.com/tomislav-math/d1-bound5-lean

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