I did a document search, and stand corrected. He mentioned the word inflation three times....it didn't really stand out to me, because as you can see, rate cuts and inflation weren't of any interest to him. Simply a side-note.
"The ultimate objectives of monetary policy are expressed in terms of macroeconomic variables such as output, employment, and inflation. However, the influence of monetary policy instruments on these variables is at best indirect."
"Fewer papers have tackled the question of why the stock market reacts to monetary policy. The results of Goto and Valkanov (2000) suggest that the covariance between equity prices and inflation induced by policy shocks from an identified VAR may be one reason for the response."
"Rate changes that were unanticipated as of the end of the prior month may well include a systematic response to economic news, such as employment, output and inflation."