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The Lean 4 theorem `krylov_rayleigh_transfer` in the `ChapterH6` chapter of the timepiece formalization

Proved
BookProof.ChapterH6.krylov_rayleigh_transfer

by leonardopedro · Oct 2, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem krylov_rayleigh_transfer in the ChapterH6 chapter of the timepiece formalization.

Preamble
-- Generated from ChapterH6.lean — theorem BookProof.ChapterH6.krylov_rayleigh_transfer
import Mathlib
import Definitions.Def_ChapterH6
import Definitions.Def_ChapterH4
open BookProof.ChapterH4
open BookProof.ChapterH6

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


noncomputable section

open Filter Topology
Formal statement
theorem BookProof.ChapterH6.krylov_rayleigh_transfer (V : F →L[ℂ] E) (X : E →L[ℂ] E) (y : F) :
    inner ℂ y (compress V X y) = inner ℂ (V y) (X (V y)) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterH6.lean

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