`BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2` {c d : ℝ} (hc : 0 ≤ c) (hd : 0 ≤ d) : (!![(c : ℂ), 0; 0, (d : ℂ)]).PosSemidef

Proved

BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroupOrbits.

BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2 {c d : ℝ} (hc : 0 ≤ c) (hd : 0 ≤ d) : (!![(c : ℂ), 0; 0, (d : ℂ)]).PosSemidef

Formalization note: Lean 4 identifier BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2.

Preamble

-- Generated from ChapterWignerLittleGroupOrbits.lean — theorem BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2
import Definitions.Def_ChapterWignerLittleGroup
import Mathlib
import Definitions.Def_ChapterWignerLittleGroupOrbits
open BookProof.ChapterWignerLittleGroupOrbits


open Matrix Complex
open scoped ComplexOrder


open BookProof.ChapterWignerLittleGroup

Formal statement

theorem BookProof.ChapterWignerLittleGroupOrbits.posSemidef_diag2 {c d : ℝ} (hc : 0 ≤ c) (hd : 0 ≤ d) :
    (!![(c : ℂ), 0; 0, (d : ℂ)]).PosSemidef := by sorry

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