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ConvexAnalysisMonotoneOperators_BauschkeCombettes_2017.Chap20.Theorem_20_25

theorem ERealFunction.subdifferential_isMaximallyMonotone_of_mem_gammaZero {H : Type u} [NormedAddCommGroup H] [InnerProductSpace H] [CompleteSpace H] {f : H(Set.Ioi )} (hf : f Γ₀(H)) :

Theorem 20.25: (Moreau) if f ∈ Γ₀(H), then the subdifferential ∂ f is maximally monotone.