`BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol` (hκ : 0 ≤ κ) (n : ℕ) : amp κ n ≤ (1 / 4 + κ / 2) * oscSymbol κ n

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol (hκ : 0 ≤ κ) (n : ℕ) : amp κ n ≤ (1 / 4 + κ / 2) * oscSymbol κ n

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol.

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol
import Mathlib
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.HermiteFarisLavine


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato

variable {κ : ℝ}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteFarisLavine.amp_le_symbol (hκ : 0 ≤ κ) (n : ℕ) :
    amp κ n ≤ (1 / 4 + κ / 2) * oscSymbol κ n := by sorry

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