Construct a proof for the argument: P→ ¬Q, Q÷P 1PQ 2 Q new line check proof new subproof start over Clear & Start a new Proof new line check proof Construct a proof for the argument: (PAQ) AR - QAP 1 (PAQ) AR new subproof start over Clear & Start a new Proof 2 Notation for logic operators negation: conjunction: disjunction: conditional: biconditional: A V universal quantification: Ax or (A existential quantification: Ex or (E Rule names (full and abbreviated) ->E MT modus ponens modus tollens modus tollendo ponens double negation addition VI adjunction ^I simplification AE <->[ bicondition equivalence repeat <->E Rep > RAA AE AI conditional derivation reductio ad absurdum universal instantiation universal derivation existential instantiation EE existential generalization EI identity introduction =1 substitution of identicals =E DS DNE

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