Prove2Me

{d : CertificateData} {c : GapCertificate} (h : d.toGapCertificate = some c) : c.lower = ((d.lowerQ : ℚ) : ℝ)

Proved
BookProof.SirkCertificateReader.toGapCertificate_lower

by leonardopedro · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

sirkspectral-theorytimepiece

Lean 4 theorem BookProof.SirkCertificateReader.toGapCertificate_lower (module BookProof.SirkCertificateReader), source chapter BookProof/ChapterSirkCertificateReader.lean.

Preamble
-- Generated from ChapterSirkCertificateReader.lean — theorem BookProof.SirkCertificateReader.toGapCertificate_lower
import Mathlib
import Definitions.Def_ChapterSirkCertificateReader
open BookProof.SirkCertificateReader









open BookProof.SirkCertifiedGap
Formal statement
theorem BookProof.SirkCertificateReader.toGapCertificate_lower {d : CertificateData} {c : GapCertificate}
    (h : d.toGapCertificate = some c) : c.lower = ((d.lowerQ : ℚ) : ℝ) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterSirkCertificateReader.lean

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