Category:Constructive Dilemma

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This category contains pages concerning Constructive Dilemma:


Formulation 1

\(\ds p \implies q\) \(\) \(\ds \)
\(\ds r \implies s\) \(\) \(\ds \)
\(\ds \vdash \ \ \) \(\ds p \lor r \implies q \lor s\) \(\) \(\ds \)

Formulation 2

\(\ds \paren {p \implies q} \land \paren {r \implies s}\) \(\) \(\ds \)
\(\ds p \lor r\) \(\) \(\ds \)
\(\ds \vdash \ \ \) \(\ds q \lor s\) \(\) \(\ds \)

Formulation 3

$\vdash \paren {\paren {p \lor r} \land \paren {p \implies q} \land \paren {r \implies s} } \implies \paren {q \lor s}$