`BookProof.OdeUnitaryFlow.odeKoop_add` (s t : ℝ) (ψ : ℝ → ℂ) (x : ℝ) (hs : 1 + s * x ≠ 0) (hst : 1 + (s + t) * x ≠ 0) : odeKoop s (odeKoop t ψ) x = odeKoop (s + t) ψ x

Proved

BookProof.OdeUnitaryFlow.odeKoop_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.odeKoop_add (s t : ℝ) (ψ : ℝ → ℂ) (x : ℝ) (hs : 1 + s * x ≠ 0) (hst : 1 + (s + t) * x ≠ 0) : odeKoop s (odeKoop t ψ) x = odeKoop (s + t) ψ x

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

Preamble

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



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.odeKoop_add (s t : ℝ) (ψ : ℝ → ℂ) (x : ℝ) (hs : 1 + s * x ≠ 0)
    (hst : 1 + (s + t) * x ≠ 0) :
    odeKoop s (odeKoop t ψ) x = odeKoop (s + t) ψ x := by sorry

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