`BookProof.OdeUnitaryFlow.one_add_mul_mob` (s t x : ℝ) (hx : 1 + t * x ≠ 0) : 1 + s * mob t x = (1 + (s + t) * x) / (1 + t * x)

Proved

BookProof.OdeUnitaryFlow.one_add_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_mul_mob (s t x : ℝ) (hx : 1 + t * x ≠ 0) : 1 + s * mob t x = (1 + (s + t) * x) / (1 + t * x)

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

Preamble

-- Generated from ChapterOdeUnitaryFlow.lean — theorem BookProof.OdeUnitaryFlow.one_add_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_mul_mob (s t x : ℝ) (hx : 1 + t * x ≠ 0) :
    1 + s * mob t x = (1 + (s + t) * x) / (1 + t * x) := by sorry

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