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Channel: Does the Definition of a Formal Proof in Mendelson's Book Allow for the Use of Theorem/Derived Axiom Schema in Formal Proofs? - Mathematics Stack Exchange
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Answer by Doug Spoonwood for Does the Definition of a Formal Proof in Mendelson's Book Allow for the Use of Theorem/Derived Axiom Schema in Formal Proofs?

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It forbids substitutions in theorems in formal proofs (NO formal proofs exist in the book... not a single one). But, that is not generally how the axiomatic method has gotten used historically speaking.


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