`BookProof.MixedLinearEsa.opL2_add` (A B : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (A + B) = opL2 A + opL2 B

Proved

BookProof.MixedLinearEsa.opL2_add

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMixedLinearEsa.

BookProof.MixedLinearEsa.opL2_add (A B : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (A + B) = opL2 A + opL2 B

Formalization note: Lean 4 identifier BookProof.MixedLinearEsa.opL2_add.

Preamble

-- Generated from ChapterMixedLinearEsa.lean — theorem BookProof.MixedLinearEsa.opL2_add
import Definitions.Def_ChapterFourierMultiplierEsa
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterMixedLinearEsa
import Definitions.Def_ChapterStrichartzWave
open BookProof.StrichartzWave
open BookProof.MixedLinearEsa



open MeasureTheory SchwartzMap FourierTransform ComplexInnerProductSpace LineDeriv
open BookProof.StrichartzWave BookProof.FourierMultiplierEsa BookProof.FarisLavine

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

Formal statement

theorem BookProof.MixedLinearEsa.opL2_add (A B : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (A + B) = opL2 A + opL2 B := by sorry

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