argument

[see also: reasoning]

A similar argument holds for the other cases.

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, ......

By an elementary argument, ......

This is handled by a direct case-by-case argument.

Following the argument in [3], set ......

The case $f=1$ requires a different argument.

But the $T_n$ need not be contractions in $L^1$, which is the main obstruction to applying standard arguments for densities.

We give the argument when $I=R$.

Continuity then finishes off the argument.

This completes our argument for (1).

This assumption enables us to push through the same arguments.

It simplifies the argument, and causes no loss of generality, to assume ......



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