Pair Light Adaptive Prepared20 — left coverage checked

Proved

D1Bound5.PairLightAdaptivePrepared20.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared20.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_SmallPairLightData20_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData20_Definitions_002

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared20
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightAdaptivePrepared20.left_coverage_checked :
    decide (PairLightPrepared20.leftCached.map Prod.fst = PairLightPrepared20.leftVertices) = true := by sorry








end D1Bound5.PairLightAdaptivePrepared20
end

Source

D1Bound5/SmallPairLightAdaptiveValidation20.lean, lines 7-9, SHA-256 e259ce27ca747b225e8781a98dd62e9401b9ceb60658d9212fbff75221542406. Project: https://github.com/tomislav-math/d1-bound5-lean

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