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Construct a proof for the argument: P-Q.Q: P 1 2 Q -P→ ¬Q I new line check proof new subproof start over Clear & Start a new Proof new line check proof Construct a proof for the argument: (PAQ) ARQAP 2 1 (PAQ) AR new subproof start over Clear & Start a new Proof

Construct a proof for the argument: P-Q.Q: P 1 2 Q -P→ ¬Q I new line check proof new subproof start over Clear & Start a new Proof new line check proof Construct a proof for the argument: (PAQ) ARQAP 2 1 (PAQ) AR new subproof start over Clear & Start a new Proof

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Construct a proof for the argument: PQ, Q. P 1 26 2 Q -P→ ¬Q new line li+ new subproof check proof start over Clear & Start a new Proof Construct a proof for the argument: (PAQ) ARQ^P 1 (PAQ) AR I new line check proof + 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 (Ax) existential quantification: Ex or (Ex) Rule names (full and abbreviated) modus ponens ->E modus tollens MT modus tollendo ponens DS double negation DNE addition VI ΔΙ adjunction. simplification bicondition equivalence repeat conditional derivation reductio ad absurdum RAA universal instantiation AE universal derivation AI existential instantiation EE existential generalization EI identity introduction =I substitution of identicals E ΛΕ <->I <->E Rep →>I
Transcribed Image Text:Construct a proof for the argument: PQ, Q. P 1 26 2 Q -P→ ¬Q new line li+ new subproof check proof start over Clear & Start a new Proof Construct a proof for the argument: (PAQ) ARQ^P 1 (PAQ) AR I new line check proof + 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 (Ax) existential quantification: Ex or (Ex) Rule names (full and abbreviated) modus ponens ->E modus tollens MT modus tollendo ponens DS double negation DNE addition VI ΔΙ adjunction. simplification bicondition equivalence repeat conditional derivation reductio ad absurdum RAA universal instantiation AE universal derivation AI existential instantiation EE existential generalization EI identity introduction =I substitution of identicals E ΛΕ <->I <->E Rep →>I
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