Formalization of real analysis: a survey of proof assistants and libraries

@article{Boldo2016FormalizationOR,
  title={Formalization of real analysis: a survey of proof assistants and libraries},
  author={Sylvie Boldo and Catherine Lelay and Guillaume Melquiond},
  journal={Mathematical Structures in Computer Science},
  year={2016},
  volume={26},
  pages={1196-1233}
}
interfaces are heavily used to ease statements and proofs (Krebbers and Spitters 2013). Thanks to type classes, the algebraic and order hierarchies (setoid, group, ring, and so on) easily benefit from inheritance. Finally, C-CoRN and Coq’s standard library are not entirely unrelated: Kaliszyk and O’Connor (2009) provide an equivalence lemma between both libraries, under the axioms of the standard library. Sylvie Boldo, Catherine Lelay, Guillaume Melquiond 12 3.2.4. NASA PVS Library In addition… CONTINUE READING