is everybody Sky Priority?
Jan 21, 2017, 8:50 pm
#3
Join Date: Nov 2013
Posts: 4,374
Theorem. All passengers are Sky Priority.
Proof by induction. Let the inductive hypothesis P(n) be that in every set of n >= 1 passengers, all are Sky Priority.
Base case. P(1) is true because OP has Sky Priority.
Inductive step. Assume P(n) is true for some n >= 1. Consider a set of n+1 passengers:
p_1, p_2, ..., p_n, p_{n+1}
By assumption, the first n passengers (p_1, ..., p_n) are Sky Priority. Also by assumption, the last n passengers (p_2, ..., p_n, p_{n+1}) are Sky Priority. Therefore, all n+1 passengers (p_1, ..., p_{n+1}) are Sky Priority. QED
Proof by induction. Let the inductive hypothesis P(n) be that in every set of n >= 1 passengers, all are Sky Priority.
Base case. P(1) is true because OP has Sky Priority.
Inductive step. Assume P(n) is true for some n >= 1. Consider a set of n+1 passengers:
p_1, p_2, ..., p_n, p_{n+1}
By assumption, the first n passengers (p_1, ..., p_n) are Sky Priority. Also by assumption, the last n passengers (p_2, ..., p_n, p_{n+1}) are Sky Priority. Therefore, all n+1 passengers (p_1, ..., p_{n+1}) are Sky Priority. QED
Jan 22, 2017, 9:28 am
#9
Join Date: Mar 2016
Location: MSP & MCO
Programs: DL PM & NRSA, AA Gold, ANA Plat, Hilton Gold, Marriott Gold, National EC Exec, GE, CLEAR
Posts: 1,225
Jan 22, 2017, 10:14 am
#10
Moderator: Hyatt; FlyerTalk Evangelist
Join Date: Jun 2015
Location: WAS
Programs: :rolleyes:, DL DM, Mlife Plat, Caesars Diam, Marriott Tit, UA Gold, Hyatt Glob, invol FT beta tester
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Jan 22, 2017, 11:43 am
#11
Join Date: Mar 2016
Location: MSP & MCO
Programs: DL PM & NRSA, AA Gold, ANA Plat, Hilton Gold, Marriott Gold, National EC Exec, GE, CLEAR
Posts: 1,225
Jan 22, 2017, 2:07 pm
#12
Join Date: Mar 2014
Location: ATL
Programs: DL DM, Hyatt LT DM, Wyndham DM, Hertz PC, HH Gold, SPG Gold, Marriott Gold
Posts: 2,038
SKY is any Gold or above Delta member. "Sky Elite" or whatever they call it. So someone flying internationally 2-3 times a year would likely access that level. So the line is pretty long sometimes.
Jan 22, 2017, 3:28 pm
#14
Join Date: May 2008
Location: NYC
Programs: DL PM; UA 1K; AA 1MM
Posts: 4,506
In part it depends on the airport the plane is going from/to, and in part it depends on the day of the week. Certainly there are days when it does seem like a large portion of the plane is Sky Priority.