The Lean 4 theorem `ccEquiv_norm_sq` in the `ChapterWallEsaSemibounded` chapter of the timepiece formalization
ProvedBookProof.WallEsaSemibounded.ccEquiv_norm_sqtimepiece
The Lean 4 theorem ccEquiv_norm_sq in the ChapterWallEsaSemibounded chapter of the timepiece formalization.
Preamble
-- Generated from ChapterWallEsaSemibounded.lean — theorem BookProof.WallEsaSemibounded.ccEquiv_norm_sq
import Mathlib
import Definitions.Def_ChapterWallEsaSemibounded
open BookProof.WallEsaSemibounded
open MeasureTheory SchwartzMap
open BookProof.FarisLavine BookProof.StrichartzWave BookProof.ScalaronEsa
open BookProof.ScalaronWallEsa
noncomputable section
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.WallEsaSemibounded.ccEquiv_norm_sq (f : ccSchwartz ℝ) :
‖((ccEquiv ℝ f : ccDomain ℝ) : Lp ℂ 2 (volume : Measure ℝ))‖ ^ 2
= ∫ x, ‖(f : 𝓢(ℝ, ℂ)) x‖ ^ 2 := by sorrySource