(T : (ι → ℂ) → ι → ℂ) (hsupp) (hadd) (hsmul) (f : lpFiniteModes ι) : (((coeffOp T hsupp hadd hsmul f : lpFiniteModes ι) : lp (fun _ : ι => ℂ) 2) : ι → ℂ) = T ((f : lp (fun _ : ι => ℂ) 2) : ι → ℂ)
ProvedBookProof.NavierStokesFlow.FockOfFock.coeffOp_coenavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.FockOfFock.coeffOp_coe (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesFockSpace.lean — theorem BookProof.NavierStokesFlow.FockOfFock.coeffOp_coe
import Mathlib
import Definitions.Def_ChapterNavierStokesFockSpace
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockOfFock
open FullEsa
variable {ι : Type*}Formal statement
theorem BookProof.NavierStokesFlow.FockOfFock.coeffOp_coe (T : (ι → ℂ) → ι → ℂ) (hsupp) (hadd) (hsmul) (f : lpFiniteModes ι) :
(((coeffOp T hsupp hadd hsmul f : lpFiniteModes ι) : lp (fun _ : ι => ℂ) 2) : ι → ℂ)
= T ((f : lp (fun _ : ι => ℂ) 2) : ι → ℂ) := by sorrySource