The Lean 4 theorem `quadForm_congr` in the `ChapterQgOuterFockCoreFL` chapter of the timepiece formalization

-- Generated from ChapterQgOuterFockCoreFL.lean — theorem BookProof.QgOuterFockCoreFL.quadForm_congr
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterQgOuterFockEsa
import Definitions.Def_ChapterQgOuterFockFarisLavine
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterQgHermiteOscillatorEsa
import Definitions.Def_ChapterHermiteProductCore
import Mathlib
import Definitions.Def_ChapterQgOuterFockCoreFL
import Definitions.Def_ChapterFarisLavineCore
open BookProof.QgOuterFockCoreFL

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]



open BookProof.FarisLavine
open BookProof.DirectSumEsa
open BookProof.QgOuterFock
open BookProof.QgOuterFockFL
open BookProof.YangMillsFriedrichs
open BookProof.EsaClosure
open BookProof.QgHermiteOscillator
open BookProof.HermiteProductCore
open Filter Topology

noncomputable section

theorem BookProof.QgOuterFockCoreFL.quadForm_congr {D D' : Submodule ℂ F} (N : D →ₗ[ℂ] F) (N' : D' →ₗ[ℂ] F)
    (x : D) (x' : D') (hx : (x : F) = (x' : F)) (hN : N x = N' x') :
    quadForm N x = quadForm N' x' := by sorry