`BookProof.TempleSeparationNecessary.resid_witness` (M : ℝ) : resid (witness M trial) trial = 0

Proved

BookProof.TempleSeparationNecessary.resid_witness

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterTempleSeparationNecessary.

BookProof.TempleSeparationNecessary.resid_witness (M : ℝ) : resid (witness M trial) trial = 0

Formalization note: Lean 4 identifier BookProof.TempleSeparationNecessary.resid_witness.

Preamble

-- Generated from ChapterTempleSeparationNecessary.lean — theorem BookProof.TempleSeparationNecessary.resid_witness
import Mathlib
import Definitions.Def_ChapterTempleSeparationNecessary
import Definitions.Def_ChapterNavierStokesFarisLavineLift
import Definitions.Def_ChapterRitzCertificate
open BookProof.NavierStokesFlow.FarisLavineLift
open BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData
open BookProof.RitzCertificate
open BookProof.TempleSeparationNecessary


noncomputable section


open BookProof.RitzCertificate

Formal statement

theorem BookProof.TempleSeparationNecessary.resid_witness (M : ℝ) : resid (witness M trial) trial = 0 := by sorry

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