`BookProof.OdeUnitaryFlow.hasDerivAt_invMap` {x : ℝ} (hx : x ≠ 0) : HasDerivAt invMap ((x ^ 2)⁻¹) x

Proved

BookProof.OdeUnitaryFlow.hasDerivAt_invMap

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.hasDerivAt_invMap {x : ℝ} (hx : x ≠ 0) : HasDerivAt invMap ((x ^ 2)⁻¹) x

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

Preamble

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



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.hasDerivAt_invMap {x : ℝ} (hx : x ≠ 0) : HasDerivAt invMap ((x ^ 2)⁻¹) x := by sorry

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