`BookProof.ProbabilityClockStochastic.rotMat_eq_exp` (a : ℝ) : NormedSpace.exp (a • Jgen) = rotMat a

Proved

BookProof.ProbabilityClockStochastic.rotMat_eq_exp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterProbabilityClockStochastic.

BookProof.ProbabilityClockStochastic.rotMat_eq_exp (a : ℝ) : NormedSpace.exp (a • Jgen) = rotMat a

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

Preamble

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



open Matrix
open scoped Norms.Operator

Formal statement

theorem BookProof.ProbabilityClockStochastic.rotMat_eq_exp (a : ℝ) :
    NormedSpace.exp (a • Jgen) = rotMat a := by sorry

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