`BookProof.ChapterE.exp_J_mulVec` (t : ℝ) : (NormedSpace.exp (t • J)) *ᵥ ![1, 0] = Ψ t

Proved

BookProof.ChapterE.exp_J_mulVec

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterE.

BookProof.ChapterE.exp_J_mulVec (t : ℝ) : (NormedSpace.exp (t • J)) *ᵥ ![1, 0] = Ψ t

Formalization note: Lean 4 identifier BookProof.ChapterE.exp_J_mulVec.

Preamble

-- Generated from ChapterE.lean — theorem BookProof.ChapterE.exp_J_mulVec
import Mathlib
import Definitions.Def_ChapterE
open BookProof.ChapterE


open scoped Matrix BigOperators
open Filter
open scoped Topology

Formal statement

theorem BookProof.ChapterE.exp_J_mulVec (t : ℝ) : (NormedSpace.exp (t • J)) *ᵥ ![1, 0] = Ψ t := by sorry

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