The takeaways from Trump's joint presser with Abe

The immigration ban: The president said he has "no doubt" he'll eventually prevail in court and hinted that something is coming "very rapidly" next week on national security.
TPP: Prime Minister Abe dodged multiple questions on TPP. Instead, he said he remained focused on a plan for VP Pence to begin a new economic dialogue with Japan's Deputy PM.
1 fun thing: Trump reportedly didn't wear his translation earpiece for Abe's opening statement.

President Trump

The U.S. is committed to the security of Japan: Both countries will invest heavily in "mutual defense." Trump specifically singled out the North Korean threat as "very, very high priority."
Wants a trading relationship that is free, fair and reciprocal — "benefitting both of our countries."
Asked about China's role in Asia: Trump mentions his call with President Xi yesterday, but spiraled away into a discussion on Obamacare.

Prime Minister Abe

"Some people mistakenly pronounce my name as 'Abe' which is okay," because even in Japan everyone know the name of "the great president [Lincoln]."
Large scale infrastructure investment: Abe said that Japan could help the U.S. build a bullet train from DC to NYC.