Modus Tollendo Ponens/Sequent Form/Case 2

Theorem

 * $p \lor q, \neg q \vdash p$

Proof

 * align="right" | 4 ||
 * align="right" | 2
 * $q \implies p$
 * SI
 * 2
 * using False Statement Implies Every Statement
 * align="right" | 5 ||
 * align="right" | 2, 3
 * $p$
 * MPP
 * 3, 4
 * MPP
 * 3, 4