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About:
Equivalent definitions of mathematical structures
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http://homotopytypetheory.org/book
https://math.stackexchange.com/q/290507
https://math.stackexchange.com/q/303751
http://ncatlab.org/nlab/show/structure%23related_entries
http://ncatlab.org/nlab/show/structure+in+model+theory
http://ncatlab.org/nlab/show/structured+set
http://ncatlab.org/nlab/show/stuff%2C+structure%2C+property
https://mathoverflow.net/q/19644
http://www.abstractmath.org/MM/MMMathStructure.htm
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