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arxiv: math/0505471 · v3 · pith:YRE7KTYNnew · submitted 2005-05-23 · 🧮 math.LO

New reals: Can live with them, can live without them

classification 🧮 math.LO
keywords livepreservationrealsthemtheoremassumecasecountable
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We give a self-contained proof of the preservation theorem for proper countable support iterations known as "tools-preservation," "Case A" or "first preservation theorem" in the literature. We do not assume that the forcings add reals.

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