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feat(Mathlib/Topology/Bases): Subbasis closed under intersection

Open mans0954 opened this issue 1 year ago • 0 comments

We show that if a sub basis is closed under finite intersections and contains the universal set then it is a basis for a topology.

As a corollary, if a sub basis is closed under finite intersections, then inserting the empty set gives a basis for the topology.

An example application of this result is given in #12234


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mans0954 avatar Apr 17 '24 19:04 mans0954