Pair Light Adaptive Prepared3 — right coverage checked

Proved

D1Bound5.PairLightAdaptivePrepared3.right_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared3.right_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_SmallPairLightData3RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData3RightVertices_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared3
set_option maxRecDepth 100000
set_option maxHeartbeats 0





theorem _root_.D1Bound5.PairLightAdaptivePrepared3.right_coverage_checked :
    decide (PairLightPrepared3.rightCached.map Prod.fst = PairLightPrepared3.rightVertices) = true := by sorry




end D1Bound5.PairLightAdaptivePrepared3
end

Source

D1Bound5/SmallPairLightAdaptiveValidation3.lean, lines 16-18, SHA-256 ecf705b62109ddfb82de5c299a3472b144926c98895c0bf88eb64f11a7bbf115. Project: https://github.com/tomislav-math/d1-bound5-lean

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