Question
Find a common domain for the variables $x, y,$ and $z$ for which the statement $\forall x \forall y((x \neq y) \rightarrow \forall z((z=x) \vee$ $(z=y) )$ is true and another domain for which it is false.
Step 1
This statement is saying that for all $x$ and $y$ such that $x$ is not equal to $y$, for all $z$, $z$ is equal to $x$ or $z$ is equal to $y$. Show more…
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