(A B : ∀ m, D m →ₗ[ℂ] D m) : fockOp (fun m => commDom (A m) (B m)) = commDom (fockOp A) (fockOp B)
ProvedBookProof.NavierStokesFlow.SecondQuant.fockOp_commDomnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.SecondQuant.fockOp_commDom (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesFockFarisLavine.lean — theorem BookProof.NavierStokesFlow.SecondQuant.fockOp_commDom
import Mathlib
import Definitions.Def_ChapterNavierStokesFockFarisLavine
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SecondQuant
open scoped ENNReal
open FarisLavineLift
variable {ι : Type*}
variable {S : ι → Type*} [∀ m, NormedAddCommGroup (S m)] [∀ m, InnerProductSpace ℂ (S m)]
variable {D : ∀ m, Submodule ℂ (S m)}Formal statement
theorem BookProof.NavierStokesFlow.SecondQuant.fockOp_commDom (A B : ∀ m, D m →ₗ[ℂ] D m) :
fockOp (fun m => commDom (A m) (B m)) = commDom (fockOp A) (fockOp B) := by sorrySource