ググれば簡単に出てきますが・・・
カナダの永住者にはTSA Pre✓®は付いてきませんよ。
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Program:NEXUS
Expedited processing at airports and land borders when entering the U.S. and Canada.
Includes Global Entry benefits.
Includes the TSA Pre✓® benefits for U.S. citizens, U.S. lawful permanent residents and Canadian citizens.
https://www.dhs.gov/trusted-traveler-comparison-chart
さらにこんな所にも。。。
You may be eligible for TSA Pre✓™ if you’re a:
Canadian citizen who is a member of NEXUS
Foreign citizen who is a member of Global Entry (see Global Entry eligibilityOpens in New WindowExternal site which may not meet accessibility guidelines.) and not registered as a U.S. lawful permanent resident
U.S. citizen with a Known Traveller Number (KTN)
U.S. citizen, U.S. national, or Lawful Permanent Resident who is a member of the TSA Pre✓™ application program
U.S. citizen who is a member of a U.S. Customs and Border Protection trusted traveller program; Global Entry, SENTRI, and NEXUS.
Member of the U.S. Armed Forces, including those serving in the U.S. Coast Guard, Reserves, and
https://www.aircanada.com/ca/en/aco/home/plan/travel-requirements/tsa-precheck.html