The Lean 4 theorem `diagCLM_norm_apply_le` in the `ChapterHashimotoShiftInvert` chapter of the timepiece formalization

Proved

BookProof.HashimotoShiftInvert.diagCLM_norm_apply_le

by leonardopedro · Sep 18, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem diagCLM_norm_apply_le in the ChapterHashimotoShiftInvert chapter of the timepiece formalization.

Preamble

-- Generated from ChapterHashimotoShiftInvert.lean — theorem BookProof.HashimotoShiftInvert.diagCLM_norm_apply_le
import Mathlib
import Definitions.Def_ChapterHashimotoShiftInvert
open BookProof.HashimotoShiftInvert
open scoped lp



open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.YangMillsFriedrichsLimit
open scoped lp
open BookProof.HermiteGalerkin
open scoped lp
open Filter Topology
open scoped lp

Formal statement

theorem BookProof.HashimotoShiftInvert.diagCLM_norm_apply_le {c : ℕ → ℝ} (hc : ∀ n, |c n| ≤ 1) (x : ℓ²(ℕ, ℂ)) :
    ‖diagCLM hc x‖ ≤ ‖x‖ := by sorry

Source

https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterHashimotoShiftInvert.lean

View graph