The Lean 4 theorem `friedrichsResolvent_shift` in the `ChapterFriedrichsExtension` chapter of the timepiece formalization
ProvedBookProof.FriedrichsExtension.FormDom.friedrichsResolvent_shifttimepiece
The Lean 4 theorem friedrichsResolvent_shift in the ChapterFriedrichsExtension chapter of the timepiece formalization.
Preamble
-- Generated from ChapterFriedrichsExtension.lean — theorem BookProof.FriedrichsExtension.FormDom.friedrichsResolvent_shift
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterComplexShiftCore
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Mathlib
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterQgOuterFockFarisLavine
open BookProof.QgOuterFockFL
open BookProof.FriedrichsExtension
open BookProof.FriedrichsExtension.FormDom
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable [CompleteSpace F]
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.HashimotoShiftInvert
open BookProof.HermiteGalerkin
open scoped InnerProductSpace ENNReal lpFormal statement
theorem BookProof.FriedrichsExtension.FormDom.friedrichsResolvent_shift (P : PosSymOp F) (x : P.dom) :
friedrichsResolvent P ((x : F) + P.op x) = (x : F) := by sorrySource