`BookProof.OdeUnitaryFlow.classicalSol_hasDerivAt` (x₀ t : ℝ) (ht : 1 - t * x₀ ≠ 0) : HasDerivAt (classicalSol x₀) ((classicalSol x₀ t) ^ 2) t

Proved

BookProof.OdeUnitaryFlow.classicalSol_hasDerivAt

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.classicalSol_hasDerivAt (x₀ t : ℝ) (ht : 1 - t * x₀ ≠ 0) : HasDerivAt (classicalSol x₀) ((classicalSol x₀ t) ^ 2) t

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

Preamble

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



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.classicalSol_hasDerivAt (x₀ t : ℝ) (ht : 1 - t * x₀ ≠ 0) :
    HasDerivAt (classicalSol x₀) ((classicalSol x₀ t) ^ 2) t := by sorry

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