Tags: disjunction-introduction-1 math concept inference-rule

disjunction-introduction-1 (math concept)

Definition

disjunction-introduction-1 is the inference-rule:

\[\boldsymbol{P} \vdash \left( \mathbf{Q} \lor \boldsymbol{P} \right)\]
Where:

In straightforward language, if \(\boldsymbol{P}\) is true, it follows that \(\mathbf{Q}\) or \(\boldsymbol{P}\) is true.

Quotes

“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.” - [Coo09, p. 8]

Synonyms

  • Addition [CCM14, p. 370]

Sources