`BookProof.Bosonic.field_comp_selfAdjoint` (h : BosonicCCR J a) (T : V →ₗ[ℝ] V) (v : V) : star (a (T v)) = a (T v)
ProvedBookProof.Bosonic.field_comp_selfAdjointtheoremstimepiece
Prove the following Lean 4 theorem from ChapterBosonicCCR.
BookProof.Bosonic.field_comp_selfAdjoint (h : BosonicCCR J a) (T : V →ₗ[ℝ] V) (v : V) : star (a (T v)) = a (T v)
Formalization note: Lean 4 identifier BookProof.Bosonic.field_comp_selfAdjoint.
Preamble
-- Generated from ChapterBosonicCCR.lean — theorem BookProof.Bosonic.field_comp_selfAdjoint
import Mathlib
import Definitions.Def_ChapterBosonicCCR
import Definitions.Def_ChapterStoneConverse
open BookProof.ChapterStoneMeasurable
open BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup
open BookProof.Bosonic
open RealInnerProductSpace
variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V]
variable {R : Type*} [Ring R] [StarRing R] [Algebra ℂ R] [Algebra ℝ R]
[IsScalarTower ℝ ℂ R] [StarModule ℂ R]
variable {J : V →ₗ[ℝ] V} {a : V →ₗ[ℝ] R}Formal statement
theorem BookProof.Bosonic.field_comp_selfAdjoint (h : BosonicCCR J a) (T : V →ₗ[ℝ] V) (v : V) :
star (a (T v)) = a (T v) := by sorry