as a matter of fact

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See: de facto
References in classic literature ?
And, as a matter of fact, you ought to be very thankful that you have got--'
Well, there's something to be said for that," said Mary; and they passed the gate, and walked slowly round the Fields again, discussing difficulties which, as a matter of fact, were more or less chronic in the Denham family, and only now brought forward to appease Mary's sympathy, which, however, soothed Ralph more than he was aware of.
To all intents and purposes the compass was as efficient as before; but, as a matter of fact, the moving of the pointers upon the dials resulted now in no corresponding shift of the mechanism beneath--and the device was set, immovably, upon a destination of the slave's own choosing.