Answer to Question #179960 in Discrete Mathematics for Yin BSPFNEJE

Question #179960

For propositions p, q, and r, determine whether 𝑝 ⟶ (𝑞 ⟶ 𝑟) and (𝑝 ⟶ 𝑞) ⟶ 𝑟 are logically equivalent.


1
Expert's answer
2021-04-13T13:46:51-0400

If "|p|=|q\n|=|s|=F," then "|\ud835\udc5d \\to (\ud835\udc5e \\to \ud835\udc5f)|=F \\to (F \\to F)=F\\to T=T" but "|(\ud835\udc5d \\to \ud835\udc5e) \\to \ud835\udc5f|=(F \\to F) \\to F=T\\to F=F", and we conclude that the formulas are not logically equivalent.


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