Cite

[1] Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565-582, 2001.Search in Google Scholar

[2] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.Search in Google Scholar

[3] Grzegorz Bancerek. Cardinal arithmetics. Formalized Mathematics, 1(3):543-547, 1990.Search in Google Scholar

[4] Grzegorz Bancerek. Tarski’s classes and ranks. Formalized Mathematics, 1(3):563-567, 1990.Search in Google Scholar

[5] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.Search in Google Scholar

[6] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.Search in Google Scholar

[7] Grzegorz Bancerek. Zermelo theorem and axiom of choice. Formalized Mathematics, 1 (2):265-267, 1990.Search in Google Scholar

[8] Józef Białas. Group and field definitions. Formalized Mathematics, 1(3):433-439, 1990.Search in Google Scholar

[9] Richard E. Blahut. Cryptography and Secure Communication. Cambridge University Press, 2014.10.1017/CBO9781139013673Search in Google Scholar

[10] Sylvie Boldo, Catherine Lelay, and Guillaume Melquiond. Formalization of real analysis: A survey of proof assistants and libraries. Mathematical Structures in Computer Science, pages 1-38, 2014.Search in Google Scholar

[11] Nicolas Bourbaki. General Topology: Chapters 1-4. Springer Science and Business Media, 2013.Search in Google Scholar

[12] Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.Search in Google Scholar

[13] Czesław Bylinski. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643-649, 1990.Search in Google Scholar

[14] Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.Search in Google Scholar

[15] Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.Search in Google Scholar

[16] Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.Search in Google Scholar

[17] Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.Search in Google Scholar

[18] Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.Search in Google Scholar

[19] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.Search in Google Scholar

[20] Agata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257-261, 1990.Search in Google Scholar

[21] Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. Z-modules. Formalized Mathematics, 20(1):47-59, 2012. doi:10.2478/v10037-012-0007-z.10.2478/v10037-012-0007-zSearch in Google Scholar

[22] Edwin Hewitt and Kenneth A. Ross. Abstract Harmonic Analysis: Volume I. Structure of Topological Groups. Integration. Theory Group Representations, volume 115. Springer Science and Business Media, 2012.Search in Google Scholar

[23] Johannes Hölzl, Fabian Immler, and Brian Huffman. Type classes and filters for mathematical analysis in Isabelle/HOL. In Interactive Theorem Proving, pages 279-294. Springer, 2013.10.1007/978-3-642-39634-2_21Search in Google Scholar

[24] Teturo Inui, Yukito Tanabe, and Yositaka Onodera. Group theory and its applications in physics, volume 78. Springer Science and Business Media, 2012.Search in Google Scholar

[25] Artur Korniłowicz. The definition and basic properties of topological groups. Formalized Mathematics, 7(2):217-225, 1998.Search in Google Scholar

[26] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relatively primes. Formalized Mathematics, 1(5):829-832, 1990.Search in Google Scholar

[27] Christopher Norman. Basic theory of additive Abelian groups. In Finitely Generated Abelian Groups and Similarity of Matrices over a Field, Springer Undergraduate Mathematics Series, pages 47-96. Springer, 2012. ISBN 978-1-4471-2729-1. doi:10.1007/978-1-4471-2730-7 2.10.1007/978-1-4471-2730-7Search in Google Scholar

[28] Beata Padlewska. Locally connected spaces. Formalized Mathematics, 2(1):93-96, 1991.Search in Google Scholar

[29] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.Search in Google Scholar

[30] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.Search in Google Scholar

[31] Alexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Formalized Mathematics, 5(2):233-236, 1996.Search in Google Scholar

[32] Andrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4): 535-545, 1991.Search in Google Scholar

[33] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1): 115-122, 1990.Search in Google Scholar

[34] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990.Search in Google Scholar

[35] Andrzej Trybulec. Tuples, projections and Cartesian products. Formalized Mathematics, 1(1):97-105, 1990.Search in Google Scholar

[36] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4): 341-347, 2003.Search in Google Scholar

[37] Andrzej Trybulec. Semilattice operations on finite subsets. Formalized Mathematics, 1 (2):369-376, 1990.Search in Google Scholar

[38] Andrzej Trybulec. Baire spaces, Sober spaces. Formalized Mathematics, 6(2):289-294, 1997. Search in Google Scholar

[39] Andrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1 (1):187-190, 1990.Search in Google Scholar

[40] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.Search in Google Scholar

[41] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.Search in Google Scholar

[42] Wojciech A. Trybulec. Subgroup and cosets of subgroups. Formalized Mathematics, 1(5): 855-864, 1990.Search in Google Scholar

[43] Wojciech A. Trybulec. Classes of conjugation. Normal subgroups. Formalized Mathematics, 1(5):955-962, 1990.Search in Google Scholar

[44] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.Search in Google Scholar

[45] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.Search in Google Scholar

[46] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990.Search in Google Scholar

[47] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.Search in Google Scholar

[48] Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231-237, 1990. Search in Google Scholar

eISSN:
1898-9934
Language:
English
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4 times per year
Journal Subjects:
Computer Sciences, other, Mathematics, General Mathematics