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Can min{<a,r> | r in P} be computed?

Let P be a polytope. The paper I'm reading uses the notation

<a, r> = min{<a,r> | r in P}

Can this value be computed in sage?

Can min{<a,r> | r in P} be computed?

Let P be a polytope. The paper I'm reading uses the notation

<a, r> P> = min{<a,r> | r in P}

Can this value be computed in sage?