The Lean 4 theorem `diagOp_real_smul` in the `ChapterNavierStokesFullEsa` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.FullEsa.diagOp_real_smultheoremstimepiece
The Lean 4 theorem diagOp_real_smul in the ChapterNavierStokesFullEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFullEsa.lean — theorem BookProof.NavierStokesFlow.FullEsa.diagOp_real_smul
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_real_smul (r : ℝ) (a : ℕ → ℝ) :
((r : ℂ)) • diagOp a = diagOp (fun n => r * a n) := by sorrySource