The Lean 4 theorem `generation_single_exponential` in the `ChapterH6` chapter of the timepiece formalization
ProvedBookProof.ChapterH6.generation_single_exponentialtimepiece
The Lean 4 theorem generation_single_exponential in the ChapterH6 chapter of the timepiece formalization.
Preamble
-- Generated from ChapterH6.lean — theorem BookProof.ChapterH6.generation_single_exponential
import Mathlib
import Definitions.Def_ChapterH6
open BookProof.ChapterH6
variable {E F : Type*}
[NormedAddCommGroup E] [InnerProductSpace ℂ E] [CompleteSpace E]
[NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E] [CompleteSpace E]
variable {m : ℕ}
noncomputable section
open Filter TopologyFormal statement
theorem BookProof.ChapterH6.generation_single_exponential (A : Matrix (Fin m) (Fin m) ℂ) (psi0 : Fin m → ℂ) :
generatedState A 1 psi0 = (NormedSpace.exp ((-Complex.I) • A)).mulVec psi0 := by sorrySource