`BookProof.BrstReducedTransfer.exactStates_le_physicalStates` (hnil : ∀ x, Om (Om x) = 0) : exactStates Om ≤ physicalStates Om

Proved

BookProof.BrstReducedTransfer.exactStates_le_physicalStates

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBrstReducedTransfer.

BookProof.BrstReducedTransfer.exactStates_le_physicalStates (hnil : ∀ x, Om (Om x) = 0) : exactStates Om ≤ physicalStates Om

Formalization note: Lean 4 identifier BookProof.BrstReducedTransfer.exactStates_le_physicalStates.

Preamble

-- Generated from ChapterBrstReducedTransfer.lean — theorem BookProof.BrstReducedTransfer.exactStates_le_physicalStates
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterBrstReducedTransfer
open BookProof.BrstReducedTransfer



open BookProof BookProof.ChapterStoneResolvent


variable {H : Type*} [NormedAddCommGroup H] [NormedSpace ℂ H]

variable (Om : H →L[ℂ] H)

Formal statement

theorem BookProof.BrstReducedTransfer.exactStates_le_physicalStates (hnil : ∀ x, Om (Om x) = 0) :
    exactStates Om ≤ physicalStates Om := by sorry

View graph