Fortune Telling Collection - Comprehensive fortune-telling - [Discrete Mathematics] The following propositional formulas are equivalent.
[Discrete Mathematics] The following propositional formulas are equivalent.
1.~(P^Q)→(~Pv(~PvQ))
& lt= & gt~~(P^Q)v(~Pv(~PvQ))
& lt= & gt(P^Q)v(~Pv~PvQ)
& lt= & gt(P^Q)v(~PvQ)
& lt= & gt(Pv(~PvQ))^(Qv(~PvQ))
& lt= & gt(Pv~PvQ)^(Qv~PvQ)
& lt= & gtT^(~PvQ)
& lt= & gt~PvQ
2.(P→Q)^(R→Q)
& lt= & gt(~PvQ)^(~RvQ)
& lt= & gt(~P^~R)vQ
& lt= & gt~(PvR)vQ
& lt= & gtPvR→Q
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