[see also: reasoning
A similar argument holds for the other cases.
By an elementary argument,......
The case f=1 requires a different argument.
Following the argument in [3], set......
But the Tn need not be contractions in L1, which is the main obstruction to applying standard arguments for densities.
We give the argument when I=R.
A deformation retract argument completes the proof.
In outline, the argument follows that of the single-valued setting, but there are several significant issues that must be addressed in the n-valued case.
This argument comes from [4].
This argument is invalid for several reasons.
However, this argument is fallacious, because as remarked after Lemma 3,......
Continuity then finishes off the argument.
It simplifies the argument, and causes no loss of generality, to assume......