The Lean 4 theorem `ccInclLM_apply` in the `ChapterScalaronCoreEsa` chapter of the timepiece formalization

Proved

BookProof.ScalaronEsa.ccInclLM_apply

by leonardopedro · Sep 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem ccInclLM_apply in the ChapterScalaronCoreEsa chapter of the timepiece formalization.

Preamble

-- Generated from ChapterScalaronCoreEsa.lean — theorem BookProof.ScalaronEsa.ccInclLM_apply
import Mathlib
import Definitions.Def_ChapterScalaronCoreEsa
open BookProof.ScalaronEsa


open Filter Topology MeasureTheory SchwartzMap


open BookProof.StrichartzWave BookProof.FarisLavine BookProof.Starobinsky
open BookProof.QuantumGravityDensitized BookProof.StoneBridge BookProof.NavierStokesFlow
open BookProof.ChapterStoneResolvent BookProof.EsaClosure

noncomputable section

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [FiniteDimensional ℝ E]
  [MeasurableSpace E] [BorelSpace E]

Formal statement

theorem BookProof.ScalaronEsa.ccInclLM_apply (f : ccSchwartz E) :
    ccInclLM E f = ((f : 𝓢(E, ℂ)).toLp 2 (volume : Measure E)) := by sorry

Source

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

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