all the same
Definitions
Nevertheless; despite what has just been said.
In any case; regardless of the circumstances.
Identical or indistinguishable from one another.
Examples
It was raining heavily, but we decided to go for a walk all the same.
I know you didn't mean to break the vase, but it is ruined all the same.
Synonyms
nevertheless nonetheless even so however be that as it may regardless in any case
Antonyms
consequently therefore thus accordingly hence for that reason as a result