`BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq` (j : ℕ) : symbolOfIntegral volume extField intervalDens j = (((j : ℝ) + 1) ^ 3 - (j : ℝ) ^ 3) / 3

Proved

BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockEsa.

BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq (j : ℕ) : symbolOfIntegral volume extField intervalDens j = (((j : ℝ) + 1) ^ 3 - (j : ℝ) ^ 3) / 3

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq.

Preamble

-- Generated from ChapterNavierStokesFockEsa.lean — theorem BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq
import Mathlib
import Definitions.Def_ChapterNavierStokesFockEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesFockSpace
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockOfFock


open MeasureTheory



open FullEsa LagrangianEsa

variable {M : Type*} [DecidableEq M]
variable {M : Type*} [DecidableEq M] {Ω : Type*} [MeasurableSpace Ω]
variable {J K : Type*} [DecidableEq J] [DecidableEq K]
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {K : Type*} [DecidableEq K]

Formal statement

theorem BookProof.NavierStokesFlow.FockOfFock.intervalSymbol_eq (j : ℕ) :
    symbolOfIntegral volume extField intervalDens j = (((j : ℝ) + 1) ^ 3 - (j : ℝ) ^ 3) / 3 := by sorry

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