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Using only the rules of SD, derive the following rules of SD+: a) Disjunctive Syllogism (one case)...

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Advance Math

Using only the rules of SD, derive the following rules ofSD+:

a) Disjunctive Syllogism (one case) :

P v Q
~P

b) Commutation: (wedge only) :

P v Q <--> Q v P

c) Implication :

P ? Q <--> Q ? ~P

d) Double Negation

P <--> ~~P

e) DeMorgan

(~(P & Q) <--> ~P v ~Q only)

Use SL sentences rather than metavariables in your derivations.Each direction of replacement rules must be shown (that is, you areproving "equivalence in SD" in these cases)

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