`BookProof.OdeUnitaryFlow.one_add_neg_mul_mob` (t x : ℝ) (hx : x ∈ flowDom t) : 1 + (-t) * mob t x = (1 + t * x)⁻¹

Proved

BookProof.OdeUnitaryFlow.one_add_neg_mul_mob

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterOdeUnitaryFlow.

BookProof.OdeUnitaryFlow.one_add_neg_mul_mob (t x : ℝ) (hx : x ∈ flowDom t) : 1 + (-t) * mob t x = (1 + t * x)⁻¹

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

Preamble

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



open MeasureTheory Filter Set
open scoped Topology ENNReal

Formal statement

theorem BookProof.OdeUnitaryFlow.one_add_neg_mul_mob (t x : ℝ) (hx : x ∈ flowDom t) :
    1 + (-t) * mob t x = (1 + t * x)⁻¹ := by sorry

View graph