`BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis` (c : ℕ → ℝ) (n : ℕ) : diagOp c (basis n) = ((c n : ℂ)) • basis n

Proved

BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesDeficiency.

BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis (c : ℕ → ℝ) (n : ℕ) : diagOp c (basis n) = ((c n : ℂ)) • basis n

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis.

Preamble

-- Generated from ChapterNavierStokesDeficiency.lean — theorem BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis
import Mathlib
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.DiagonalEsa


open scoped ENNReal

Formal statement

theorem BookProof.NavierStokesFlow.DiagonalEsa.diagOp_basis (c : ℕ → ℝ) (n : ℕ) : diagOp c (basis n) = ((c n : ℂ)) • basis n := by sorry

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