`BookProof.NsScalarVectorCurry.isSliceOf_fibTensor` (t : TensorProduct ℂ (Lp ℂ 2 μ) (Lp ℂ 2 ν)) : IsSliceOf (fibTensor t) (prodTensor t)

Proved

BookProof.NsScalarVectorCurry.isSliceOf_fibTensor

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsScalarVectorCurry.

BookProof.NsScalarVectorCurry.isSliceOf_fibTensor (t : TensorProduct ℂ (Lp ℂ 2 μ) (Lp ℂ 2 ν)) : IsSliceOf (fibTensor t) (prodTensor t)

Formalization note: Lean 4 identifier BookProof.NsScalarVectorCurry.isSliceOf_fibTensor.

Preamble

-- Generated from ChapterNsScalarVectorCurry.lean — theorem BookProof.NsScalarVectorCurry.isSliceOf_fibTensor
import Mathlib
import Definitions.Def_ChapterNsScalarVectorCurry
import Definitions.Def_ChapterSirkFinitePrecision
open BookProof.SirkFinitePrecision
open BookProof.SirkFinitePrecision.CertInterval
open BookProof.NsScalarVectorCurry


open MeasureTheory Filter Set
open scoped ENNReal ComplexConjugate


noncomputable section

variable {V W : Type*} [MeasurableSpace V] [MeasurableSpace W]
  {μ : Measure V} {ν : Measure W}

variable [SigmaFinite μ] [SigmaFinite ν]

Formal statement

theorem BookProof.NsScalarVectorCurry.isSliceOf_fibTensor (t : TensorProduct ℂ (Lp ℂ 2 μ) (Lp ℂ 2 ν)) :
    IsSliceOf (fibTensor t) (prodTensor t) := by sorry

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