Tags: hypothetical-syllogism math concept inference-rule

hypothetical-syllogism (math concept)

Definition

hypothetical-syllogism is the inference-rule:

\[\left( \left( \boldsymbol{P} \implies \boldsymbol{Q} \right), \left( \boldsymbol{Q} \implies \boldsymbol{R} \right) \right) \vdash \left( \boldsymbol{P} \implies \boldsymbol{R} \right)\]

Sources