3. Prove that: 7: (not (for all x)(p(x, f(a))) if and only if ((for some x) not p(x, f(a))) is a valid predicate logical sentence.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3.
Prove that:
7: (not (for all x)(p(x, f(a))) if and only if ((for some x) not p(x, f(a)))
is a valid predicate logical sentence.
Transcribed Image Text:3. Prove that: 7: (not (for all x)(p(x, f(a))) if and only if ((for some x) not p(x, f(a))) is a valid predicate logical sentence.
2.
Given a predicate logic sentence:
E: if (for all x)p(x, f(y)) then p(a, f(y))
Show that & is valid.
Transcribed Image Text:2. Given a predicate logic sentence: E: if (for all x)p(x, f(y)) then p(a, f(y)) Show that & is valid.
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