Volume 3, 1991

University of Bialystok

Copyright (c) 1991 Association of Mizar Users

**Andrzej Trybulec**- Warsaw University, Bialystok

- We prove that the lattice of normal forms over an arbitrary set, introduced in [12], is an implicative lattice. The relative pseudo-complement $\alpha\Rightarrow\beta$ is defined as $\bigsqcup_{\alpha_1\cup\alpha_2=\alpha}-\alpha_1\sqcap \alpha_2\rightarrowtail\beta$, where $-\alpha$ is the pseudo-complement of $\alpha$ and $\alpha\rightarrowtail\beta$ is a rather strong implication introduced in this paper.

Partially supported by RPBP.III-24.B1.

Contents (PDF format)

- [1]
Grzegorz Bancerek.
Filters --- part I.
*Journal of Formalized Mathematics*, 2, 1990. - [2]
Czeslaw Bylinski.
Basic functions and operations on functions.
*Journal of Formalized Mathematics*, 1, 1989. - [3]
Czeslaw Bylinski.
Binary operations.
*Journal of Formalized Mathematics*, 1, 1989. - [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]
Andrzej Trybulec.
Binary operations applied to functions.
*Journal of Formalized Mathematics*, 1, 1989. - [8]
Andrzej Trybulec.
Domains and their Cartesian products.
*Journal of Formalized Mathematics*, 1, 1989. - [9]
Andrzej Trybulec.
Semilattice operations on finite subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [10]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [11]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
*Journal of Formalized Mathematics*, 1, 1989. - [12]
Andrzej Trybulec.
Algebra of normal forms.
*Journal of Formalized Mathematics*, 2, 1990. - [13]
Andrzej Trybulec.
Finite join and finite meet, and dual lattices.
*Journal of Formalized Mathematics*, 2, 1990. - [14]
Andrzej Trybulec.
Function domains and Fr\aenkel operator.
*Journal of Formalized Mathematics*, 2, 1990. - [15]
Andrzej Trybulec and Agata Darmochwal.
Boolean domains.
*Journal of Formalized Mathematics*, 1, 1989. - [16]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [17]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [18]
Stanislaw Zukowski.
Introduction to lattice theory.
*Journal of Formalized Mathematics*, 1, 1989.

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