Questions tagged [subsidiary-verbs]
補助動詞. Verbs such as いる, おく, ある, いく, くる, and しまう, which can follow the 〜て form of a verb with special grammaticalized meanings. Not to be confused with 助動詞（じょどうし） "auxiliary verbs", which are inflecting function words or endings such as 〜ない and 〜ます. We use the translation "subsidiary verbs" on this site to avoid confusion.
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I was revising the grammar for ていく and got this sentence from the Dictionary of Basic Japanese Grammar.
The meaning the book gave was that "It will get colder (and continue to be ...
The following is an excerpt from a dialogue between my language partner and me:
The sentence in question: