∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {H : Type u_2} [inst_2 : TopologicalSpace H]
  {I : ModelWithCorners ℝ E H} {M : Type u_3} [inst_3 : TopologicalSpace M] [inst_4 : ChartedSpace H M]
  [inst_5 : IsManifold I 1 M] {γ γ' : ℝ → M} {v : (x : M) → TangentSpace I x} {t₀ : ℝ},
  I.IsInteriorPoint (γ t₀) →
    ContMDiffAt I (I.prod (modelWithCornersSelf ℝ E)) 1 (fun x => ⟨x, v x⟩) (γ t₀) →
      IsMIntegralCurveAt γ v t₀ → IsMIntegralCurveAt γ' v t₀ → γ t₀ = γ' t₀ → γ =ᶠ[nhds t₀] γ'