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Erdős problem 96

This lemma confirms that the set of possible unit-distance counts is bounded above, which ensures that taking the supremum (sSup) is a well-defined operation. The trivial upper bound is the total number of pairs of points, (n2)\binom{n}{2}.

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Exact provenance

Problem row
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Metadata
sha256:e0cbe5126e380a0a4246bd0d013b2cb1d25fab2f2890dc1d5941663840f473d1
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:86579817fbfe3848c8b9d56bda6aa75f006fc7d95629d8eb6382750c1ada44e4
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb