Axiom Of Choice

We have the following indirect implication of form equivalence classes:

78 \(\Rightarrow\) 78 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
78 \(\Rightarrow\) 78	Uber die Machtigkeit der zusammenhangenden Mengen, Urysohn, P. 1925, Math. Ann.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number	Statement
78:	Urysohn's Lemma: If \(A\) and \(B\) are disjoint closed sets in a normal space \(S\), then there is a continuous \(f:S\rightarrow [0,1]\) which is 1 everywhere in \(A\) and 0 everywhere in \(B\). Urysohn [1925], pp 290-292.
78:	Urysohn's Lemma: If \(A\) and \(B\) are disjoint closed sets in a normal space \(S\), then there is a continuous \(f:S\rightarrow [0,1]\) which is 1 everywhere in \(A\) and 0 everywhere in \(B\). Urysohn [1925], pp 290-292.

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