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What is another word for axiom of choice?

Synonyms for axiom of choice
ax·iom of choice

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axillary fossa, axillary node, axillary vein, axils, axiom, axiom of choice, axiom schema, axiom scheme, axiom system, axiomatic, axiomatic system

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An antonym for the term "Ductile"?
A intractable
B malleable
C pliable
D fictile