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\title{Banach-Steinhaus theorem}
\author{Dominique Unruh \and Jos\'e Manuel Rodr\'iguez Caballero}
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\begin{abstract}
We formalize in Isabelle/HOL a result \cite{Weisstein_UBP} due to S. Banach and H. Steinhaus \cite{banach1927principe} known as Banach-Steinhaus theorem or Uniform boundedness principle: a pointwise-bounded family of continuous linear operators from a Banach space to a normed space is uniformly bounded. Our approach is an adaptation to Isabelle/HOL of a proof due to A. Sokal \cite{sokal2011really}.
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