"In the real world t is better to rely on actual facts"
The real world doesn't work like that. Note that you missed out a letter which is almost certainly "i" to make "it". All readers of your missive will have had to apply some form of deductive (probability based) reasoning to fill in the gap. Those with a shaky grasp of English may have even got it wrong. That was easy to correct but this error is nearly parse-able without correction to get a different result than that which you intended:
"based on assumptions that mat not be provable"