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gptkb:Zermelo–Fraenkel_set_theory_with_the_axiom_of_choice_(ZFC)
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ZFC is consistent if ZF is consistent
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gptkb:Zermelo-Fraenkel_set_theory
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there is an inaccessible cardinal
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gptkb:Zermelo–Fraenkel_set_theory_with_choice_(ZFC)
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ZFC is consistent if ZF is consistent
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gptkb:ZFC_(with_choice)
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ZFC is consistent if and only if no contradiction can be derived from its axioms
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gptkb:Zermelo-Fraenkel_set_theory_(ZF)
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no contradiction can be derived from its axioms
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gptkb:Zermelo-Fraenkel_set_theory_with_the_axiom_of_choice_(ZFC)
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no contradiction can be derived from its axioms
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gptkb:Zermelo–Fraenkel_set_theory
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no contradiction can be derived from its axioms
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gptkb:Zermelo–Fraenkel_set_theory_without_the_Axiom_of_Choice
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ZF is consistent if ZFC is consistent
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gptkb:ZFC_set_theory
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no contradiction can be derived from its axioms
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gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
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no contradiction can be derived from its axioms
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gptkb:ZFC_(Zermelo–Fraenkel_set_theory_with_Choice)
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ZFC is consistent if ZF is consistent
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gptkb:Robinson_arithmetic
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Peano arithmetic is consistent
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