The Lean 4 theorem `dom_le_range` in the `ChapterFriedrichsExtension` chapter of the timepiece formalization
ProvedBookProof.FriedrichsExtension.FormDom.dom_le_rangetimepiece
The Lean 4 theorem dom_le_range in the ChapterFriedrichsExtension chapter of the timepiece formalization.
Preamble
-- Generated from ChapterFriedrichsExtension.lean — theorem BookProof.FriedrichsExtension.FormDom.dom_le_range
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterComplexShiftCore
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Mathlib
import Definitions.Def_ChapterFriedrichsExtension
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.dom_le_range (P : PosSymOp F) :
P.dom ≤ LinearMap.range (friedrichsResolvent P : F →ₗ[ℂ] F) := by sorrySource