`BookProof.NavierStokesFlow.AffineFiber.le_amp` {κ : ℝ} (hκ : 0 ≤ κ) (n : ℕ) : (κ / 2) * ((n : ℝ) + 1) ≤ amp κ n

Proved

BookProof.NavierStokesFlow.AffineFiber.le_amp

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesAffineFiberEsa.

BookProof.NavierStokesFlow.AffineFiber.le_amp {κ : ℝ} (hκ : 0 ≤ κ) (n : ℕ) : (κ / 2) * ((n : ℝ) + 1) ≤ amp κ n

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.AffineFiber.le_amp.

Preamble

-- Generated from ChapterNavierStokesAffineFiberEsa.lean — theorem BookProof.NavierStokesFlow.AffineFiber.le_amp
import Mathlib
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.AffineFiber


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine ShiftHamiltonian

variable {ι : Type*}

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] {D : Submodule ℂ F}
variable (P : PairShift ι)

Formal statement

theorem BookProof.NavierStokesFlow.AffineFiber.le_amp {κ : ℝ} (hκ : 0 ≤ κ) (n : ℕ) : (κ / 2) * ((n : ℝ) + 1) ≤ amp κ n := by sorry

View graph