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Constructions of categories of setoids from proof-irrelevant families

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Publication:512135
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DOI10.1007/S00153-016-0514-7zbMath1390.03013OpenAlexW2547417032WikidataQ59611793 ScholiaQ59611793MaRDI QIDQ512135

Erik Palmgren

Publication date: 24 February 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-016-0514-7


zbMATH Keywords

categoryMartin-Löf type theoryproof-irrelevance


Mathematics Subject Classification ID

Embedding theorems, universal categories (18B15) Categories of sets, characterizations (18B05)


Related Items (1)

Algebras of complemented subsets


Uses Software

  • Coq
  • Agda



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Quotient completion for the foundation of constructive mathematics
  • Proof-relevance of families of setoids and identity in type theory
  • Constructing categories and setoids of setoids in type theory
  • Constructing a small category of setoids
  • Setoids in type theory
  • Extensional Constructs in Intensional Type Theory




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