`BookProof.YangMillsCertificateSeam.valid_of_checkBounds` {c : MatrixBoundRecord} (h : c.checkBounds = true) : c.Valid

Proved

BookProof.YangMillsCertificateSeam.valid_of_checkBounds

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterYangMillsCertificateSeam.

BookProof.YangMillsCertificateSeam.valid_of_checkBounds {c : MatrixBoundRecord} (h : c.checkBounds = true) : c.Valid

Formalization note: Lean 4 identifier BookProof.YangMillsCertificateSeam.valid_of_checkBounds.

Preamble

-- Generated from ChapterYangMillsCertificateSeam.lean — theorem BookProof.YangMillsCertificateSeam.valid_of_checkBounds
import Definitions.Def_ChapterSirkCertificateReader
import Definitions.Def_ChapterSchurGershgorinGap
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Definitions.Def_ChapterTruncationGapLift
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterYangMillsHermite
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterYangMillsFockGapChain
import Mathlib
import Definitions.Def_ChapterYangMillsCertificateSeam
open BookProof.YangMillsCertificateSeam


noncomputable section


open BookProof.SirkCertificateReader
open BookProof.SchurGershgorin
open BookProof.FarisLavine BookProof.HermiteGalerkin BookProof.TruncationGapLift
open BookProof.FockSecondQuantization BookProof.FockOneParticleGap
open BookProof.YangMillsHermite BookProof.HermiteProductCore
open BookProof.YangMillsFriedrichs BookProof.YangMillsFockGapChain

Formal statement

theorem BookProof.YangMillsCertificateSeam.valid_of_checkBounds {c : MatrixBoundRecord} (h : c.checkBounds = true) : c.Valid := by sorry

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