The Lean 4 theorem `diagOp_sum` in the `ChapterNavierStokesFullEsa` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.FullEsa.diagOp_sumtheoremstimepiece
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 sorrySource