Answer to Question #88888 in Discrete Mathematics for RAKESH DEY

Question

The contrapositive of 'there exist y€z such that p(y) is true' is ' there exist x€z such that p(x) is true'.
Is the statement true or false? Justify your answer.

Answer 1

The contraposition to the predicate is such a type of direct reasoning, in which the subject of the conclusion is the notion that contradicts the predicate.

(S → P) ↔ (¬Р → ¬S)

The specified sequence of given expressions does not satisfy this definition.

p(x) is false should be considered in the contraposition.