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Pocklington's Theorem and Bertrand's Postulate Cover

Pocklington's Theorem and Bertrand's Postulate

By: Marco Riccardi  
Open Access
|Jun 2008

References

  1. [3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.
  2. [4] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
  3. [5] Grzegorz Bancerek. Joining of decorated trees. Formalized Mathematics, 4(1):77-82, 1993.
  4. [6] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
  5. [7] Czesław Byliński. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643-649, 1990.
  6. [8] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.
  7. [9] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.
  8. [10] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  9. [11] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
  10. [12] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
  11. [13] Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990.
  12. [14] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
  13. [15] Andrzej Kondracki. The Chinese Remainder Theorem. Formalized Mathematics, 6(4):573-577, 1997.
  14. [16] Artur Korniłowicz and Piotr Rudnicki. Fundamental Theorem of Arithmetic. Formalized Mathematics, 12(2):179-186, 2004.
  15. [17] Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990.
  16. [18] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relative primes. Formalized Mathematics, 1(5):829-832, 1990.
  17. [19] W. J. LeVeque. Fundamentals of Number Theory. Dover Publication, New York, 1996.
  18. [20] Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83-86, 1993.
  19. [21] Library Committee of the Association of Mizar Users. Binary operations on numbers. To appear in Formalized Mathematics.
  20. [22] Konrad Raczkowski and Andrzej Nedzusiak. Real exponents and logarithms. Formalized Mathematics, 2(2):213-216, 1991.
  21. [23] Piotr Rudnicki and Andrzej Trybulec. Multivariate polynomials with arbitrary number of variables. Formalized Mathematics, 9(1):95-110, 2001.
  22. [24] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
  23. [25] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.
  24. [26] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
  25. [27] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.
  26. [28] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.
  27. [29] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569-573, 1990.
  28. [30] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
  29. [31] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
  30. [1] M. Aigner and G. M. Ziegler. Proofs from THE BOOK. Springer-Verlag, Berlin Heidelberg New York, 2004.10.1007/978-3-662-05412-3
  31. [2] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
DOI: https://doi.org/10.2478/v10037-006-0007-y | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 47 - 52
Published on: Jun 9, 2008
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2008 Marco Riccardi, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 14 (2006): Issue 2 (June 2006)