in any case
1. No matter what happens: surely; without fail; certainly; anyhow; anyway.
It may rain tomorrow, but we are going home in any case.
I may not go to Europe, but in any event, I will visit you during the summer.
2. Regardless of anything else; whatever else may be true; anyhow; anyway.
Tom was not handsome and he was not brilliant, but at all events he worked hard and was loyal to his boss.
I don't know if it is a white house or a brown house. At all events, it is a big house on Main Street.
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Source: A Dictionary of American Idioms