(V : F →L[ℂ] E) (W : G →L[ℂ] F) (X : E →L[ℂ] E) : compress (V.comp W) X = compress W (compress V X)
ProvedBookProof.ChapterSirkTruncation.compress_compsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTruncation.compress_comp (module BookProof.ChapterSirkTruncation), source chapter BookProof/ChapterChapterSirkTruncation.lean.
Preamble
-- Generated from ChapterSirkTruncation.lean — theorem BookProof.ChapterSirkTruncation.compress_comp
import Mathlib
import Definitions.Def_ChapterSirkTruncation
open BookProof.ChapterSirkTruncation
noncomputable section
open BookProof.ChapterH4 BookProof.ChapterH6 BookProof.ChapterSirkEndToEnd
open BookProof.ChapterSirkWhitening
variable {E F G : Type*}
[NormedAddCommGroup E] [InnerProductSpace ℂ E] [CompleteSpace E]
[NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]
[NormedAddCommGroup G] [InnerProductSpace ℂ G] [CompleteSpace G]Formal statement
theorem BookProof.ChapterSirkTruncation.compress_comp (V : F →L[ℂ] E) (W : G →L[ℂ] F) (X : E →L[ℂ] E) :
compress (V.comp W) X = compress W (compress V X) := by sorrySource