`BookProof.OdeUnitaryFlow.odeKoop_chartW` (t : ℝ) (ψ : ℝ → ℂ) {x : ℝ} (hx : x ≠ 0) (h : 1 + t * x ≠ 0) : odeKoop t (chartW ψ) x = chartW (transl t ψ) x

Proved

BookProof.OdeUnitaryFlow.odeKoop_chartW

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.odeKoop_chartW (t : ℝ) (ψ : ℝ → ℂ) {x : ℝ} (hx : x ≠ 0) (h : 1 + t * x ≠ 0) : odeKoop t (chartW ψ) x = chartW (transl t ψ) x

Formalization note: Lean 4 identifier BookProof.OdeUnitaryFlow.odeKoop_chartW.

Preamble

-- Generated from ChapterOdeUnitaryFlow.lean — theorem BookProof.OdeUnitaryFlow.odeKoop_chartW
import Mathlib
import Definitions.Def_ChapterOdeUnitaryFlow
open BookProof.OdeUnitaryFlow



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.odeKoop_chartW (t : ℝ) (ψ : ℝ → ℂ) {x : ℝ} (hx : x ≠ 0) (h : 1 + t * x ≠ 0) :
    odeKoop t (chartW ψ) x = chartW (transl t ψ) x := by sorry

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