Heine--Borel's Covering Theorem

Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Heine--Borel's Covering Theorem

Agata Darmochwal: Warsaw University, Bialystok
The article was written during my work at Shinshu University, 1991.
Yatsuka Nakamura: Shinshu University, Nagano

Summary.

Heine-Borel's covering theorem, also known as Borel-Lebesgue theorem ([5]), is proved. Some useful theorems about real inequalities, intervals, sequences and notion of power sequence which are necessary for the theorem are also proved.

MML Identifier: HEINE

The terminology and notation used in this paper have been introduced in the following articles [20] [22] [2] [21] [3] [1] [23] [7] [11] [9] [6] [16] [8] [4] [17] [13] [12] [14] [18] [19] [15] [10]

Contents (PDF format)

Bibliography

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Received November 21, 1991

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