Forcing reference

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Who first proved that, over ZF, the statement

(1) The reals are well-orderable

is strictly stronger than the statement

(2) Every real-indexed family of nonempty sets of reals has a choice function?

The separation is of course implied by the consistency of large cardinals - (2)+$\neg$(1) is a consequence of AD$_\mathbb{R}$ - but a large-cardinal-free proof seems nontrivial, and I'm curious who first came up with such a thing. (To answer the implicit question, I've thought about it a little and can't come up with the proof myself, although I'm probably just being slow - I remember being told that the separation is provable with no consistency assumptions, and I think I recall being shown a fairly straightforward argument for it.)

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Well, I googled the second statement, and the first article to come up was the following:

J. Truss, The axiom of choice for linearly ordered families, Fund. Math. 99 (1978), no. 2, 133--139.

Which you can also find here. You're looking for Theorem 4 (which is in the third section).