Formalizing equivalences without tears
<|reference_start|>Formalizing equivalences without tears: This expository note describes two convenient techniques in the context of homotopy type theory for proving and formalizing that a given map is an equivalence. The first technique decomposes the map as a series of basic equivalences, while the second refines this approach using the 3-for-2 property of equivalences. The techniques are illustrated by proving a basic result in synthetic homotopy theory.<|reference_end|>
@article{de jong2024formalizing,
    title={Formalizing equivalences without tears},
    author={Tom de Jong},
    journal={arXiv preprint arXiv:2408.11501},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.11501},
    primaryClass={cs.LO}
}