'in reality' definitions:

Definition of 'in reality'

(from WordNet)
adverb
Used to imply that one would expect the fact to be the opposite of that stated; surprisingly; "you may actually be doing the right thing by walking out"; "she actually spoke Latin"; "they thought they made the rules but in reality they were only puppets"; "people who seem stand- offish are in reality often simply nervous" [syn: actually, in reality]

Synonyms of 'in reality'

From: Moby Thesaurus