Pair Light Prepared1 — left coverage checked

Proved

D1Bound5.PairLightPrepared1.left_coverage_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared1.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_SmallPairLightData1Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData1Left_Definitions_002

Formal statement

section
namespace D1Bound5.PairLightPrepared1
set_option maxRecDepth 100000
set_option maxHeartbeats 0

theorem _root_.D1Bound5.PairLightPrepared1.left_coverage_checked :
    decide (leftCached.map Prod.fst = leftVertices) = true := by sorry







end D1Bound5.PairLightPrepared1
end

Source

D1Bound5/SmallPairLightLeft1.lean, lines 10-12, SHA-256 98445b90667c3455707dacf065e9fe2d342252bc990562f9163f40e28ce01e09. Project: https://github.com/tomislav-math/d1-bound5-lean

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