@InProceedings{petrakis:LIPIcs.TYPES.2018.3, author = {Petrakis, Iosif}, title = {{Dependent Sums and Dependent Products in Bishop’s Set Theory}}, booktitle = {24th International Conference on Types for Proofs and Programs (TYPES 2018)}, pages = {3:1--3:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-106-1}, ISSN = {1868-8969}, year = {2019}, volume = {130}, editor = {Dybjer, Peter and Esp{\'\i}rito Santo, Jos\'{e} and Pinto, Lu{\'\i}s}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2018.3}, URN = {urn:nbn:de:0030-drops-114070}, doi = {10.4230/LIPIcs.TYPES.2018.3}, annote = {Keywords: Bishop’s constructive mathematics, Martin-L\"{o}f’s type theory, dependent sums, dependent products, type-theoretic axiom of choice} }