`BookProof.ProbabilityClockStochastic.clockPsi_eq_exp` (t : ℝ) : (NormedSpace.exp (t • Jgen)).mulVec ![1, 0] = clockPsi t

Proved

BookProof.ProbabilityClockStochastic.clockPsi_eq_exp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterProbabilityClockStochastic.

BookProof.ProbabilityClockStochastic.clockPsi_eq_exp (t : ℝ) : (NormedSpace.exp (t • Jgen)).mulVec ![1, 0] = clockPsi t

Formalization note: Lean 4 identifier BookProof.ProbabilityClockStochastic.clockPsi_eq_exp.

Preamble

-- Generated from ChapterProbabilityClockStochastic.lean — theorem BookProof.ProbabilityClockStochastic.clockPsi_eq_exp
import Mathlib
import Definitions.Def_ChapterProbabilityClockStochastic
import Definitions.Def_ChapterEulerDensityMatrix
import Definitions.Def_ChapterEulerGenericDensity
import Definitions.Def_ChapterFullQuadraticEsa
open BookProof.ChapterEulerDensityMatrix
open BookProof.ChapterEulerGenericDensity
open BookProof.FullQuadratic
open BookProof.ProbabilityClockStochastic



open Matrix
open scoped Norms.Operator

Formal statement

theorem BookProof.ProbabilityClockStochastic.clockPsi_eq_exp (t : ℝ) :
    (NormedSpace.exp (t • Jgen)).mulVec ![1, 0] = clockPsi t := by sorry

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