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The Lean 4 theorem `diagOp_sum` in the `ChapterNavierStokesFullEsa` chapter of the timepiece formalization

Proved
BookProof.NavierStokesFlow.FullEsa.diagOp_sum

by leonardopedro · Oct 23, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

The Lean 4 theorem diagOp_sum in the ChapterNavierStokesFullEsa chapter of the timepiece formalization.

Preamble
-- Generated from ChapterNavierStokesFullEsa.lean — theorem BookProof.NavierStokesFlow.FullEsa.diagOp_sum
import Mathlib
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FullEsa
open BookProof.NavierStokesFlow.DiagonalEsa


open scoped ENNReal

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {D : Submodule ℂ F}
variable (d : NSFullData F)
Formal statement
theorem BookProof.NavierStokesFlow.FullEsa.diagOp_sum {ι : Type*} (s : Finset ι) (a : ι → ℕ → ℝ) :
    (∑ i ∈ s, diagOp (a i)) = diagOp (fun n => ∑ i ∈ s, a i n) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFullEsa.lean

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