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  "body": "\n## Summary\n\nIn mathematical logic (a subtopic within the field of formal logic), two formulae are **equisatisfiable** if the first formula is satisfiable whenever the second is and vice versa; in other words, either both formulae are satisfiable or neither is. The truth values of two equisatisfiable formulae may nevertheless disagree for a particular assignment of variables. As a result, equisatisfiability differs from [[logical equivalence|06GYGS41JK]], since two equivalent formulae always have the same models, whereas equisatisfiable ones need only share satisfiability status. More formally, the equisatisfiability meta formula $f$ is true if either the two subformulae are both satisfiable or if they both are not:\n",
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