Axiom Of Choice

We have the following indirect implication of form equivalence classes:

375 \(\Rightarrow\) 375 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
375 \(\Rightarrow\) 375

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

Howard-Rubin Number	Statement
375:	Tietze-Urysohn Extension Theorem: If \((X,T)\) is a normal topological space, \(A\) is closed in \(X\), and \(f: A\to [0,1]\) is continuous, then there exists a continuous function \(g: X\to [0,1]\) which extends \(f\).
375:	Tietze-Urysohn Extension Theorem: If \((X,T)\) is a normal topological space, \(A\) is closed in \(X\), and \(f: A\to [0,1]\) is continuous, then there exists a continuous function \(g: X\to [0,1]\) which extends \(f\).

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