Arithmetic Operations on Functions from Sets into Functional Sets
Artur Korniłowicz
Formalized Mathematics, Tome 17 (2009), p. 43-60 / Harvested from The Polish Digital Mathematics Library

In this paper we introduce sets containing number-valued functions. Different arithmetic operations on maps between any set and such functional sets are later defined.MML identifier: VALUED 2, version: 7.11.01 4.117.1046

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:267184
@article{bwmeta1.element.doi-10_2478_v10037-009-0005-y,
     author = {Artur Korni\l owicz},
     title = {Arithmetic Operations on Functions from Sets into Functional Sets},
     journal = {Formalized Mathematics},
     volume = {17},
     year = {2009},
     pages = {43-60},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0005-y}
}
Artur Korniłowicz. Arithmetic Operations on Functions from Sets into Functional Sets. Formalized Mathematics, Tome 17 (2009) pp. 43-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0005-y/

[1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.

[2] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

[3] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.

[4] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

[5] Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5):841-845, 1990.

[6] Andrzej Trybulec. Tuples, projections and Cartesian products. Formalized Mathematics, 1(1):97-105, 1990.

[7] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.

[8] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.

[9] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

[10] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

[11] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.