`BookProof.YangMillsCertificateSeam.example_checkBounds` : exampleRecord.checkBounds = true

Proved

BookProof.YangMillsCertificateSeam.example_checkBounds

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterYangMillsCertificateSeam.

BookProof.YangMillsCertificateSeam.example_checkBounds : exampleRecord.checkBounds = true

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

Preamble

-- Generated from ChapterYangMillsCertificateSeam.lean — theorem BookProof.YangMillsCertificateSeam.example_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
import Definitions.Def_ChapterElectroweakFieldStrength
open BookProof.ChapterElectroweakFieldStrength
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

variable (e : ℕ ≃ (Fin 99 →₀ ℕ)) (fabc : Fin 8 → Fin 8 → Fin 8 → ℝ)

Formal statement

theorem BookProof.YangMillsCertificateSeam.example_checkBounds : exampleRecord.checkBounds = true := by sorry

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