as a matter of fact

US /æz ə ˈmæt.ər əv fækt/
UK /æz ə ˈmæt.ər əv fækt/
"as a matter of fact" picture
1.

in reality; in fact (used to emphasize the truth of a statement, often one that is contrary to what might be expected)

:
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I thought he was angry, but as a matter of fact, he was quite pleased.
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Are you going to the party? As a matter of fact, I am.
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in factactuallyindeedin realityto tell the truth
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factin factmatterfor that matterfact-checkingfact-checkfacts and figures