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
yxgao
yxgao is offline
#1
Feb10-04, 08:18 PM
P: 125
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
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)
Hurkyl
Hurkyl is offline
#2
Feb10-04, 10:44 PM
Emeritus
Sci Advisor
PF Gold
Hurkyl's Avatar
P: 16,101
What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
vadik
vadik is offline
#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