`BookProof.OdeUnitaryFlow.hasDerivAt_mob` (t x : ℝ) (hx : x ∈ flowDom t) : HasDerivAt (mob t) ((1 + t * x) ^ 2)⁻¹ x

Proved

BookProof.OdeUnitaryFlow.hasDerivAt_mob

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.hasDerivAt_mob (t x : ℝ) (hx : x ∈ flowDom t) : HasDerivAt (mob t) ((1 + t * x) ^ 2)⁻¹ x

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

Preamble

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



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.hasDerivAt_mob (t x : ℝ) (hx : x ∈ flowDom t) :
    HasDerivAt (mob t) ((1 + t * x) ^ 2)⁻¹ x := by sorry

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