= Deduction theorem
{wiki=Deduction_theorem}
The Deduction Theorem is a fundamental principle in propositional logic and mathematical logic. It establishes a relationship between syntactic proofs and semantic entailment. The theorem can be stated as follows: If a formula \\( B \\) can be derived from a set of premises \\( \\Gamma \\) along with an additional assumption \\( A \\), then it is possible to infer that the implication \\( A \\rightarrow B \\) can be derived from the premises \\( \\Gamma \\) alone.
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