Condensed detachment

Condensed detachment (Rule D) is a method of finding the most general possible conclusion given two formal logical statements. It was developed by the Irish logician Carew Meredith in the 1950s and inspired by the work of Łukasiewicz.

A rule of detachment (often referred to as modus ponens) says:
"Given that ${\displaystyle p}$ implies ${\displaystyle q}$, and given ${\displaystyle p}$, infer ${\displaystyle q}$."

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