in any case

Also, at all events; in any event. No matter what happens, certainly; also, whatever the fact is, anyway. For example, In any case, I plan to go, or Call me tomorrow, at all events, or He may not be getting a raise, but in any event his boss thinks highly of him. In any case dates from the second half of the 1800s, at all events from about 1700, and in any event from the 1900s. For an antonym, see in no case.

The adverb has 2 meanings:

Meaning #1: used to indicate that a statement explains or supports a previous statement; anyhow, they're quiet"; anyway, it's gone"; in any case, there was a brief scuffle"
  Synonyms: anyhow, anyway, at any rate, in any event

Meaning #2: making an additional point; anyway; besides, we can't afford it"
  Synonym: besides