 lax duoidal categories are shown to be provided by endohom categories of pseudomonoids in symmetric monoidal bicategories with certain internal homs.
Our main interest is in the symmetric monoidal bicategory <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi mathvariant="sans-serif">B</mi><mi mathvariant="sans-serif">i</mi><mi mathvariant="sans-serif">m</mi></mrow><annotation encoding="application/x-tex">\mathsf{Bim}</annotation></semantics>