Help -- Similar to Fatou's Lemma

The following is similar to Fatou's Lemma but different. I'm unclear
about what "Integral f_n and Integral f have a meaning" is supposed to
be saying -- "integrable" is my guess but others have thought
differently. I could use some help with this proof.

Let h be an integrable function and <f_n> a sequence of measurable
functions with f_n >= -h and lim f_n = f. Show that Integral f_n and
Integral f have a meaning and that Integral f <= lower limit of the
integral of f_n.


TMH

.

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