Collective Operations on Number-Membered Sets

Artur Korniłowicz
2009 Formalized Mathematics  
Collective Operations on Number-Membered Sets The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.
doi:10.2478/v10037-009-0011-0 fatcat:jlgx5jucarftdc2u2nmuyngknq