John Fleck's second-half double against Aston Villa earned the Blades back-to-back top-flight wins for the first time since 2006. Jack Grealish missed a Villa penalty to end any chance of getting back into the game.
Wilder revealed: "I have to say, Dean Smith and John Terry were in the tunnel clapping our players because they recognise our players' performance today. That's a class act and people won't see that but I want to mention it.
"It was a proper second-half performance. It was a cagey first half and I don't think we had many big opportunities, but I felt it was coming before half-time and we stepped it up in the second half.
"We rode our luck with Jack Grealish missing the penalty, but I think the right result has happened today."