I've been through a number of older similar threads and it does not seem clear that this question is answered anywhere. I know this can be proven without the full strength of the Axiom of Choice but can it be proven in ZF with no additional axioms?
2026-04-09 16:58:52.1775753932
In ZF, can it be proven that a non-trivial real vector space has a non-zero linear functional?
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