The Vitali covering theorem in constructive mathematics. Diener, H. & Hedin, A. Journal of Logic and Analysis, 4:Paper 7, 22, 2012.
The Vitali covering theorem in constructive mathematics [link]Paper  doi  bibtex   
@ARTICLE{DH12,
  author = {Diener, Hannes and Hedin, Anton},
  title = {The {V}itali covering theorem in constructive mathematics},
  journal = {Journal of Logic and Analysis},
  year = {2012},
  volume = {4},
  pages = {Paper 7, 22},
  doi = {10.4115/jla.2012.4.7},
  file = {DH12.pdf:DH12.pdf:PDF},
  fjournal = {Journal of Logic and Analysis},
  issn = {1759-9008},
  keywords = {bib,con},
  mrclass = {03F60 (03F55 06D22 28E15)},
  mrnumber = {2889827},
  mrreviewer = {Douglas S. Bridges},
  url = {http://dx.doi.org/10.4115/jla.2012.4.7}
}

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