Question 361792
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One of the givens is


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ G\ \large{\vee}\LARGE\ R],


So let's first assume


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ G]


We are given


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P\ \large{\wedge}\LARGE\ S]


So now we have


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P\ \large{\wedge}\LARGE\ G]


Hence by


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (P\ \large{\wedge}\LARGE\ G)\ \Rightarrow\ R]


We have


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R]


And therefore


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R\ \large{\vee}\LARGE\ T]


But if


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \neg G]


Then from


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ G\ \large{\vee}\LARGE\ R]


We can deduce


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R]


And therefore


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R\ \large{\vee}\LARGE\ T]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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