The Lean 4 theorem `sirk_compression_tendsto` in the `ChapterYangMillsFriedrichsLimit` chapter of the timepiece formalization
ProvedBookProof.YangMillsFriedrichsLimit.sirk_compression_tendstotimepiece
The Lean 4 theorem sirk_compression_tendsto in the ChapterYangMillsFriedrichsLimit chapter of the timepiece formalization.
Preamble
-- Generated from ChapterYangMillsFriedrichsLimit.lean — theorem BookProof.YangMillsFriedrichsLimit.sirk_compression_tendsto
import Mathlib
import Definitions.Def_ChapterYangMillsFriedrichsLimit
open BookProof.YangMillsFriedrichsLimit
open BookProof.FarisLavine BookProof.YangMillsFriedrichs
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
open scoped InnerProductSpace ENNReal
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
open BookProof.ChapterH5 BookProof.ChapterH9
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.YangMillsFriedrichsLimit.sirk_compression_tendsto (A : F →L[ℂ] F) (v : F)
(hdense : Dense ((⨆ n : ℕ, krylovSpan A.toLinearMap v n : Submodule ℂ F) : Set F)) (u : F) :
Filter.Tendsto (fun n : ℕ => sirkCompression A v n u) Filter.atTop (nhds (A u)) := by sorrySource