If the tyres are otherwise identical, yes, the wider tyres will have lower RR. This is a surprise to people who don't read the technical info tyre makers provide because they have two misconceptions

1. That RR is frictional (it's not - it's hysteresis energy, which is very different)

2. That a narrower tyre will have a smaller contact patch than a wider tyre at the same pressure (wrong again - the narrower tyre will have a longer patch of the same area, which is less efficient for hysteresis energy.)

Racers use narrow tyres because they give an aero advantage. To overcome the poor RR they have to pump them up super-high - this reduces contact patch size and so hysteresis energy losses. If you're not riding fast enough so that the very slight aero advantage of 25mm tyres outweighs the RR losses then wider tyres will actually be more efficient.

Oh - and the high pressure strategy only works on smooth roads. Lower pressures become more efficient on rough stuff, but that's the advanced class.

Good starter reference:

http://www.rouesartisanales.over-blo...e-1503651.html