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Find the results of the following substitutions. Just give the answer and explain the reasons if the result is undefined:

e) ((∀

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Answer #1

The result of substitution is True.

Since f(z) < g(x,y) for all possible values of x,y and z, so it won't matter what we substitute for x,y and z. Output of f( ) will always be strictly smaller then g( ).

Now, even if we substitute z = g(y,7), the relation must hold.

i.e. for all x and y: f ( g(y,7) < g (x, y)

So, the answer is True

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Answer 1

The result of substitution is True.

Since f(z) < g(x,y) for all possible values of x,y and z, so it won't matter what we substitute for x,y and z. Output of f( ) will always be strictly smaller then g( ).

Now, even if we substitute z = g(y,7), the relation must hold.

i.e. for all x and y: f ( g(y,7) < g (x, y)

So, the answer is True