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Rule of replacement
In logic, a rule of replacement is a transformation rule that may be applied to only a particular segment of an expression. A logical system may be constructed so that it uses either axiomsrules of inference, or both as transformation rules for logical expressions in the system. Whereas a rule of inference is always applied to a whole logical expression, a rule of replacement may be applied to only a particular segment. Within the context of a logical prooflogically equivalent  expressions may replace each other. Rules of replacement are used in propositional logic to manipulate propositions.

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