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Joined 2026-09-21 Message
Incoming links: Boolean prime ideal theorem
Stone prime filter theorem Created 2026-09-28 Updated 2026-10-14
If a lattice filter and lattice ideal in a distributive lattice are disjoint, there is a prime filter of a distributive lattice containing and disjoint from .
The Boolean prime ideal theorem is the Boolean-algebra version; distributivity gives this corresponding filter-extension statement.