@InProceedings{steinberg_et_al:LIPIcs.ITP.2019.28, author = {Steinberg, Florian and Th\'{e}ry, Laurent and Thies, Holger}, title = {{Quantitative Continuity and Computable Analysis in Coq}}, booktitle = {10th International Conference on Interactive Theorem Proving (ITP 2019)}, pages = {28:1--28:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-122-1}, ISSN = {1868-8969}, year = {2019}, volume = {141}, editor = {Harrison, John and O'Leary, John and Tolmach, Andrew}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2019.28}, URN = {urn:nbn:de:0030-drops-110830}, doi = {10.4230/LIPIcs.ITP.2019.28}, annote = {Keywords: computable analysis, Coq, contionuous functionals, discontinuity, closed choice on the naturals} }