{S : ℕ → Type*} [∀ m, NormedAddCommGroup (S m)] [∀ m, InnerProductSpace ℂ (S m)] (D : ∀ m, Submodule ℂ (S m)) (v : ∀ m, S m) (hv : ∀ m, ‖v m‖ = 1) : (fockCore D : Submodule ℂ (lp S 2)) ≠ ⊤
ProvedBookProof.NavierStokesFlow.SecondQuant.fockCore_ne_topnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.SecondQuant.fockCore_ne_top (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesSecondQuant.lean — theorem BookProof.NavierStokesFlow.SecondQuant.fockCore_ne_top
import Mathlib
import Definitions.Def_ChapterNavierStokesSecondQuant
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SecondQuant
open scoped ENNReal
variable {ι : Type*}
variable {S : ι → Type*} [∀ m, NormedAddCommGroup (S m)] [∀ m, InnerProductSpace ℂ (S m)]
variable (D : ∀ m, Submodule ℂ (S m))
variable {D}Formal statement
theorem BookProof.NavierStokesFlow.SecondQuant.fockCore_ne_top {S : ℕ → Type*} [∀ m, NormedAddCommGroup (S m)]
[∀ m, InnerProductSpace ℂ (S m)] (D : ∀ m, Submodule ℂ (S m))
(v : ∀ m, S m) (hv : ∀ m, ‖v m‖ = 1) :
(fockCore D : Submodule ℂ (lp S 2)) ≠ ⊤ := by sorrySource