Rule of Distribution/Disjunction Distributes over Conjunction/Right Distributive
< Rule of Distribution | Disjunction Distributes over Conjunction(Redirected from Disjunction is Right Distributive over Conjunction)
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Theorem
The disjunction operator is right distributive over the conjunction operator:
Formulation 1
- $\paren {q \land r} \lor p \dashv \vdash \paren {q \lor p} \land \paren {r \lor p}$
Formulation 2
- $\vdash \paren {\paren {q \land r} \lor p} \iff \paren {\paren {q \lor p} \land \paren {r \lor p} }$