`BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks` (x y : L2I (ℕ × J)) : HasSum (fun j : J => (inner ℂ (blockVec x j) (blockVec y j) : ℂ)) (inner ℂ x y)

Proved

BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesBilinearEsa.

BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks (x y : L2I (ℕ × J)) : HasSum (fun j : J => (inner ℂ (blockVec x j) (blockVec y j) : ℂ)) (inner ℂ x y)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks.

Preamble

-- Generated from ChapterNavierStokesBilinearEsa.lean — theorem BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks
import Mathlib
import Definitions.Def_ChapterNavierStokesBilinearEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.BilinearEsa


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine

variable {J : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.BilinearEsa.hasSum_inner_blocks (x y : L2I (ℕ × J)) :
    HasSum (fun j : J => (inner ℂ (blockVec x j) (blockVec y j) : ℂ)) (inner ℂ x y) := by sorry

View graph