on the contrary

"But our study shows there's actually no conflict at all; on the contrary, these two things support each other."

Hitler believed the German people must never be allowed to “cool off”; on the contrary, they had to be subjected to a perpetual drumbeat.

“However, our data indicate that the average compensation for in-person roles is, on the contrary, slightly lower than that for otherwise identical remote positions.”

In a statement to the BBC, the SBU said co-operating with Russian agents "will in no way ease the plight of the prisoner; on the contrary, it may significantly complicate their chances of being exchanged."

Daniel Kahnemann suggested that, on the contrary, they often act irrationally, based on instinct.