Cbetting the flop, Fold equity and hand equity etc

[MadMojoMonkey]

which includes his 'check/folding' range, his 'check/calling' range and his 'check/raising' range.....

but not his bet/fold, bet/call or bet/raise ranges.

You DID assume that Villain would check 100% of his pre-flop hands, when he checks.... meaning you expect Villain to NEVER bet.

EDIT: Every action tells you something about Villain's range. If Villain checked, then Villain does not hold a hand Villain would bet.