Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical logic, the deduction theorem is a metatheorem of first-order logic.] It is a formalization of the common proof technique in which an implication A ¿ B is proved by assuming A and then proving B from this assumption.The deduction theorem holds for all first-order the ...Full description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical logic, the deduction theorem is a metatheorem of first-order logic.] It is a formalization of the common proof technique in which an implication A ¿ B is proved by assuming A and then proving B from this assumption.The deduction theorem holds for all first-order theories with the usual deductive systems for first-order logic. However, there are first-order systems in which new inference rules are added for which the deduction theorem fails.