Prove2Me

`BookProof.ChapterA.Qanti_mulI_comm` (S : V →L[ℝ] V) : mulI * Qanti S = -(Qanti S * mulI)

Proved
BookProof.ChapterA.Qanti_mulI_comm

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA2c.

BookProof.ChapterA.Qanti_mulI_comm (S : V →L[ℝ] V) : mulI * Qanti S = -(Qanti S * mulI)

Formalization note: Lean 4 identifier BookProof.ChapterA.Qanti_mulI_comm.

Preamble
-- Generated from ChapterA2c.lean — theorem BookProof.ChapterA.Qanti_mulI_comm
import Mathlib
import Definitions.Def_ChapterA2c
import Definitions.Def_ChapterA
open BookProof.ChapterA


open scoped ComplexConjugate InnerProductSpace Quaternion


variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterA.Qanti_mulI_comm (S : V →L[ℝ] V) : mulI * Qanti S = -(Qanti S * mulI) := by sorry

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