`BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear` (n : ℕ) : ‖nsCoupling (fun m : ℕ => (m : ℝ) + 1) n‖ = ((n : ℝ) + 3 / 2)

Proved

BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCarleman.

BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear (n : ℕ) : ‖nsCoupling (fun m : ℕ => (m : ℝ) + 1) n‖ = ((n : ℝ) + 3 / 2)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear.

Preamble

-- Generated from ChapterNavierStokesCarleman.lean — theorem BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear
import Mathlib
import Definitions.Def_ChapterNavierStokesCarleman
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.Carleman


open scoped ENNReal



open LpNat DiagonalEsa FullEsa

Formal statement

theorem BookProof.NavierStokesFlow.Carleman.norm_nsCoupling_linear (n : ℕ) :
    ‖nsCoupling (fun m : ℕ => (m : ℝ) + 1) n‖ = ((n : ℝ) + 3 / 2) := by sorry

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