Although I am a big fan of the front brake, I strongly urge using both brakes together on a slippery surface, because, as others have noted, it is almost impossible to recover from a front wheel skid (been there ... done that at low speed in a parking lot -- slightly painful lesson learned). I did manage to bring the same bike, Capo #1, a long wheelbased traditional road bike, to a safe stop when an errant piece of wood locked up my rear wheel. Last year a stick through the front spokes was fatal for a local gent.
I do concur regarding the importance of body positioning and brake handle modulation.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069