\begingroup \newcommand{\reals}{\mathbb{R}} \input{Envelope_2_ref/intro} \input{Envelope_2_ref/lower_envelope_2} \input{Envelope_2_ref/upper_envelope_2} \input{Envelope_2_ref/lower_envelope_x_monotone_2} \input{Envelope_2_ref/upper_envelope_x_monotone_2} %\input{Envelope_2_ref/EnvelopeDiagram} %\input{Envelope_2_ref/Env_default_diagram} \endgroup