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We implement a user-extensible ad hoc connection between the Lean proofassistant and the computer algebra system Mathematica. By reflecting the syntaxof each system in the other and providing a flexible interface for extendingtranslation, our connection allows for the exchange of arbitrary informationbetween the two systems. We show how to make use of the Lean metaprogrammingframework to verify certain Mathematica computations, so that the rigor of theproof assistant is not compromised.

An Extensible Ad Hoc Interface between Lean and Mathematica