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            <title xml:lang="en">The "non triviality" of a Φ 4 4 model II The construction of the solution</title>
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                <forename type="first">Marietta</forename>
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                <title xml:lang="en">The "non triviality" of a Φ 4 4 model II The construction of the solution</title>
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                    <forename type="first">Marietta</forename>
                    <surname>Manolessou</surname>
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              <p>Under the global title "The non triviality of a Φ 4 4 model" we show in the form of three separate articles the existence and uniqueness of a solution to a Φ 4 4 non linear renormalized system of equations of motion in Euclidean space. This system represents a non trivial model which describes the dynamics of the Φ 4 4 Green's functions in the Axiomatic Quantum Field Theory (AQFT) framework. The present paper is the second part called "II-The costruction of the Φ 4 4 solution". It completes the first one (called "I The new mapping M * and the Φ 4 4-iteration"), by the proofs of the necessary statements given in I for the construction of the unique non trivial solution of the model.</p>
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