fact

fact /ˈfækt/ noun
plural facts
fact
/ˈfækt/
noun
plural facts
Britannica Dictionary definition of FACT
1 
[count] : something that truly exists or happens : something that has actual existence — often used in the phrase the fact that
2 
: a true piece of information
[count]
[noncount]

after the fact

1 
law : after a crime has been committed
2 
: after something has happened : afterward

as a matter of fact

— used to stress the truth of a statement

bend (the) facts

— see 1bend

in fact

1 
: in truth — used to stress that a statement is true although it may be surprising or unlikely
2 
also in point of fact — used to introduce a true statement which shows that another statement is not true or accurate

is that a fact?

— used to respond to a statement that is thought to be surprising or unlikely

the fact is/remains

— used to stress that a statement is true and that its truth is not affected or changed by a previous statement

the fact of the matter

— see 1matter