`BookProof.NavierStokesFlow.HermiteFarisLavine.tsum_shift_le` {f : ℕ → ℝ} (hf : Summable f) (hnn : ∀ n, 0 ≤ f n) : (∑' n, f (n + 2)) ≤ ∑' n, f n

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.tsum_shift_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.tsum_shift_le {f : ℕ → ℝ} (hf : Summable f) (hnn : ∀ n, 0 ≤ f n) : (∑' n, f (n + 2)) ≤ ∑' n, f n

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

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.tsum_shift_le
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}
variable {x : maxDom (oscSymbol κ)}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteFarisLavine.tsum_shift_le {f : ℕ → ℝ} (hf : Summable f) (hnn : ∀ n, 0 ≤ f n) :
    (∑' n, f (n + 2)) ≤ ∑' n, f n := by sorry

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