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as a matter of fact [æz ə 'mætər nv fækt] stresses
gen.	на самом деле; собственно говоря; фактически; действительно (kee46); по сути (Taras); в действительности; в сущности; по правде сказать (Interex); вообще-то ("Are you new around here?" "As a matter of fact, I've lived here for ten years." chajnik); вообще (Alexander Demidov); напротив (We're not losing population in our town. As a matter of fact, people are moving in. 4uzhoj); по правде говоря (linton); фактически же (mascot); кстати говоря (anyname1)
Gruzovik	в сущности говоря; вообще говоря
context.	к слову (The shoes are still stylish, and as a matter of fact, I'm wearing a pair right now. 4uzhoj)
dipl.	по сути дела
inf.	на секундочку (Анна Ф); так-то (Shabe)
Makarov.	даже; по правде; к тому же; собственно
math.	ведь; в самом деле; по существу
English thesaurus
as a matter of fact [æz ə 'mætər nv fækt]
gen.	used to say that you do not agree with what someone has just said or that the opposite of what they say is true (We're not losing population in our town. As a matter of fact, people are moving in. cambridge.org); used to add something more to what you have just said (The shoes are still stylish, and as a matter of fact , I'm wearing a pair right now. cambridge.org); actually ("Are you new around here?" "As a matter of fact, I’ve lived here for ten years." cambridge.org)

as a matter of fact: 9 phrases in 3 subjects

General	4
Informal	3
Literature	2