Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

Homomorphisms of Lattices, Finite Join and Finite Meet


Jolanta Kamienska
Warsaw University, Bialystok
Jaroslaw Stanislaw Walijewski
Warsaw University, Bialystok

MML Identifier: LATTICE4

The terminology and notation used in this paper have been introduced in the following articles [11] [6] [14] [8] [15] [1] [4] [5] [13] [16] [12] [2] [9] [10] [7] [3]

Contents (PDF format)

  1. Preliminaries
  2. Lattice Theory
  3. Distributive Lattices
  4. Lower-bounded Lattices
  5. Upper-bounded Lattices
  6. Distributive Upper-bounded Lattices
  7. Implicative Lattices
  8. Boolean Lattices

Bibliography

[1] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[2] Grzegorz Bancerek. Filters --- part I. Journal of Formalized Mathematics, 2, 1990.
[3] Grzegorz Bancerek. Filters - part II. Quotient lattices modulo filters and direct product of two lattices. Journal of Formalized Mathematics, 3, 1991.
[4] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[7] Michal Muzalewski. Categories of groups. Journal of Formalized Mathematics, 3, 1991.
[8] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.
[9] Andrzej Trybulec. Binary operations applied to functions. Journal of Formalized Mathematics, 1, 1989.
[10] Andrzej Trybulec. Semilattice operations on finite subsets. Journal of Formalized Mathematics, 1, 1989.
[11] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[12] Andrzej Trybulec. Finite join and finite meet, and dual lattices. Journal of Formalized Mathematics, 2, 1990.
[13] Andrzej Trybulec and Agata Darmochwal. Boolean domains. Journal of Formalized Mathematics, 1, 1989.
[14] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[15] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[16] Stanislaw Zukowski. Introduction to lattice theory. Journal of Formalized Mathematics, 1, 1989.

Received July 14, 1993

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