Register to reply

If B is included in C, then the power set of B is included in the power set of C?

by yxgao
Tags: included, power
Share this thread:
yxgao
#1
Feb10-04, 08:18 PM
P: 124
How do you show that if B is included in C, then the power set of B is included in the power set of C?
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice
Hurkyl
#2
Feb10-04, 10:44 PM
Emeritus
Sci Advisor
PF Gold
Hurkyl's Avatar
P: 16,092
What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
vadik
#3
Apr6-04, 04:17 PM
P: 23
Power set of C includes all subsets of C, which means that it also includes all subsets of a subset (B). Thus it includes the power set of B.
Is this formal enough?


Register to reply

Related Discussions
Batteries not included... General Discussion 19
Hydrogen bonding. Why isn't Cl included? Chemistry 2
Optical Engineering included? Electrical Engineering 1
More Trig Graph included Introductory Physics Homework 4