According the statement, a system of axioms is said to be consistent if all the axioms hold true and no axiom contradict the other ones.

If an axiom contradicts any of the other axioms then the system will not be consistent.

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According the statement, a system of axioms is said to be consistent if all the axioms hold true and no axiom contradict the other ones.

If an axiom contradicts any of the other axioms then the system will not be consistent.

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