Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992
Association of Mizar Users
Sum and Product of Finite Sequences of Elements of a Field
-
Katarzyna Zawadzka
-
Warsaw University, Bialystok
Summary.
-
This article is concerned with a generalization of concepts introduced
in [11], i.e., there are introduced the sum and the product of
finite number of elements of any field. Moreover, the product of vectors
which yields a vector is introduced.
According to [11], some operations on $i$-tuples of elements of
field are introduced: addition, subtraction, and complement.
Some properties of the sum and the product of finite number of elements of
a field are present.
MML Identifier:
FVSUM_1
The terminology and notation used in this paper have been
introduced in the following articles
[18]
[22]
[19]
[2]
[23]
[5]
[7]
[6]
[3]
[4]
[16]
[21]
[17]
[9]
[8]
[10]
[15]
[14]
[1]
[12]
[20]
[13]
-
Auxiliary theorems
-
Some operations on $i$-tuples
-
The sum of finite number of elements
-
The product of finite number of elements
-
The product of vectors
Acknowledgments
I would like to thank Czes{\l}aw Byli\'nski for his help.
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Received December 29, 1992
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