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The Lean 4 theorem `dom_le_range` in the `ChapterFriedrichsExtension` chapter of the timepiece formalization

Proved
BookProof.FriedrichsExtension.FormDom.dom_le_range

by leonardopedro · Oct 3, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

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 lp
Formal statement
theorem BookProof.FriedrichsExtension.FormDom.dom_le_range (P : PosSymOp F) :
    P.dom ≤ LinearMap.range (friedrichsResolvent P : F →ₗ[ℂ] F) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterFriedrichsExtension.lean

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