@ article{Min_Max_Least_Greatest-AFP,
author = {Martin Desharnais},
title = {Minimal, Maximal, Least, and Greatest Elements w.r.t. Restricted Ordering},
journal = {Archive of Formal Proofs},
month = {October},
year = { 2024},
note = { \url{ https://isa-afp.org/entries/Min_Max_Least_Greatest.html},
Formal proof development},
ISSN = { 2150- 914x},
}
@ article{singh2017fully,
title={Fully Mechanized Proofs of Dilworths Theorem and Mirskys Theorem},
author={Singh, Abhishek Kr},
journal={arXiv preprint arXiv: 1703. 06133},
year={ 2017}
}
@ article{perles1963proof,
title={A proof of Dilworth’s decomposition theorem for partially ordered sets},
author={Perles, Micha A},
journal={Israel Journal of Mathematics},
volume={ 1},
pages={ 105-- 107},
year={ 1963},
publisher={Springer}
}
@ article{dilworth1950,
ISSN = { 0003486X, 19398980},
URL = { http://www.jstor.org/stable/1969503},
author = {R. P. Dilworth},
journal = {Annals of Mathematics},
number = { 1},
pages = { 161-- 166},
publisher = {[Annals of Mathematics, Trustees of Princeton University on Behalf of the Annals of Mathematics, Mathematics Department, Princeton University]},
title = {A Decomposition Theorem for Partially Ordered Sets},
urldate = {2025-03-11},
volume = {51},
year = {1950}
}
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