Segments of Natural Numbers and Finite Sequences

@inproceedings{Bancerek1990SegmentsON,
  title={Segments of Natural Numbers and Finite Sequences},
  author={Grzegorz Bancerek},
  year={1990}
}
We define the notion of an initial segment of natural numbers and prove a number of their properties. Using this notion we introduce finite sequences, subsequences, the empty sequence, a sequence of a domain, and the operation of concatenation of two sequences. Let us consider n. Let us note that it makes sense to consider the following functor on a restricted area. Then Seg n is set of Nat . 
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Krzysztof Hryniewiecki
Formalized Mathematics, • 1990
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