`BookProof.DensitySpectral.bornKernel_nonneg` (U : Matrix n n ℂ) (i j : n) : 0 ≤ bornKernel U i j

Proved

BookProof.DensitySpectral.bornKernel_nonneg

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDensityMarginalConditional.

BookProof.DensitySpectral.bornKernel_nonneg (U : Matrix n n ℂ) (i j : n) : 0 ≤ bornKernel U i j

Formalization note: Lean 4 identifier BookProof.DensitySpectral.bornKernel_nonneg.

Preamble

-- Generated from ChapterDensityMarginalConditional.lean — theorem BookProof.DensitySpectral.bornKernel_nonneg
import Mathlib
import Definitions.Def_ChapterDensityMarginalConditional
open BookProof.DensitySpectral



open Matrix
open scoped BigOperators ComplexOrder

variable {n : Type*} [Fintype n] [DecidableEq n]


omit [Fintype n] [DecidableEq n] in

Formal statement

theorem BookProof.DensitySpectral.bornKernel_nonneg (U : Matrix n n ℂ) (i j : n) : 0 ≤ bornKernel U i j := by sorry

View graph