Prove2Me

(v : c.D) : ‖(v : F)‖ ^ 2 ≤ (inner ℂ ((v : F)) ((c.comparison v : c.D) : F) : ℂ).re

Proved
BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData.comparison_ge_norm_sq

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData.comparison_ge_norm_sq (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesFarisLavineLift.lean — theorem BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData.comparison_ge_norm_sq
import Mathlib
import Definitions.Def_ChapterNavierStokesFarisLavineLift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FarisLavineLift
open BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData













variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]






variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]



variable {d : ℕ} (c : ComparisonData F d)
Formal statement
theorem BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData.comparison_ge_norm_sq (v : c.D) :
    ‖(v : F)‖ ^ 2 ≤ (inner ℂ ((v : F)) ((c.comparison v : c.D) : F) : ℂ).re := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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