Abstract
A proof of the statement in the title is given.
References
Adámek, J., Herrlich, H., and Strecker, G. E.: Abstract and Concrete Categories, Wiley Interscience, New York, 1990.
Porst, H.-E.: What is concrete equivalence? J. Appl. Categorical Structures 2 (1994), 57–70.
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Porst, H.E. Concrete categories are concretely equivalent iff their uniquely transportable modifications are strict concretely isomorphic. Appl Categor Struct 4, 127–128 (1996). https://doi.org/10.1007/BF00124121
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DOI: https://doi.org/10.1007/BF00124121