`BookProof.HalfLineLimitCircle.hlKin_deficiency_identity` (v : hlCore) : (inner ℂ (hlKin v) deficiencyVec : ℂ) = Complex.I * inner ℂ (v : HL) deficiencyVec

Proved

BookProof.HalfLineLimitCircle.hlKin_deficiency_identity

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHalfLineLimitCircle.

BookProof.HalfLineLimitCircle.hlKin_deficiency_identity (v : hlCore) : (inner ℂ (hlKin v) deficiencyVec : ℂ) = Complex.I * inner ℂ (v : HL) deficiencyVec

Formalization note: Lean 4 identifier BookProof.HalfLineLimitCircle.hlKin_deficiency_identity.

Preamble

-- Generated from ChapterHalfLineLimitCircle.lean — theorem BookProof.HalfLineLimitCircle.hlKin_deficiency_identity
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterHalfLineLimitCircle
open BookProof.HalfLineLimitCircle



open MeasureTheory Set BookProof.FarisLavine

noncomputable section

local notation "smoothTop" => ((⊤ : ℕ∞) : WithTop ℕ∞)

Formal statement

theorem BookProof.HalfLineLimitCircle.hlKin_deficiency_identity (v : hlCore) :
    (inner ℂ (hlKin v) deficiencyVec : ℂ) = Complex.I * inner ℂ (v : HL) deficiencyVec := by sorry

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