Arjun Suresh (talk | contribs) (→Which of the following predicate logic statements is/are valid?) |
Arjun Suresh (talk | contribs) (→Which of the following predicate logic statements is/are valid?) |
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(1) <math>\forall (x) P(x) \vee \forall(x)Q(x) \implies \forall (x) (P(x) \vee Q(x))</math> | (1) <math>\forall (x) P(x) \vee \forall(x)Q(x) \implies \forall (x) (P(x) \vee Q(x))</math> | ||
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+ | (2) <math>\exists (x) P(x) \wedge \forall(x)Q(x) \implies \exists (x) (P(x) \wedge Q(x))</math> | ||
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+ | (3) <math>\exists (x) (P(x) \vee Q(x)) \implies \forall (x) P(x) \vee \forall (x) Q(x)</math> | ||
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+ | (4) <math>\exists (x) (P(x) \vee Q(x)) \implies \sim \forall (x) </math> | ||
[[Category:Logical Inference]] | [[Category:Logical Inference]] |
(1) <math>\forall (x) P(x) \vee \forall(x)Q(x) \implies \forall (x) (P(x) \vee Q(x))</math>
(2) <math>\exists (x) P(x) \wedge \forall(x)Q(x) \implies \exists (x) (P(x) \wedge Q(x))</math>
(3) <math>\exists (x) (P(x) \vee Q(x)) \implies \forall (x) P(x) \vee \forall (x) Q(x)</math>
(4) <math>\exists (x) (P(x) \vee Q(x)) \implies \sim \forall (x) </math>
(1) <math>\forall (x) P(x) \vee \forall(x)Q(x) \implies \forall (x) (P(x) \vee Q(x))</math>