Dic: with that

■ (or at that): thereupon; having said or done that

■ immediately after that; thereupon, therewith

• thereupon the entire class applauded.
• with that, she left the room.
• I therewith withdraw my complaints

■ and then, or after doing or saying that:

• "I still think you're wrong, " he said and with that he drove off.

■ immediately after doing or saying something

• He gave a little wave and with that he was gone.

... Collins, WordNet, CALD, LDOCE

CF.

■ at that: (completive-intensive) additionally, all things considered, or nevertheless

• he's a pleasant fellow at that.
• I might decide to go at that.

■  ... at that : INFORMAL. in addition to that:

• It's too expensive, and probably out-of-date at that.

... Collins, CALD