Question

Check all the statements that are true:

A. The negation of a conjunction is the disjunction of the negations.
B. A conditional is false when both premise and conclusion are false.
C. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
D. (p→q)∧(p→¬q)(p→q)∧(p→¬q) is a contradiction.
E. The contrapositive is the inverse of the converse.
F. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
G. A predicate is a proposition-valued function.
H. Inverse and converse are logically equivalent.
I. It is possible to define disjunction using only negations and conjunction.
J. (p→q)∨(p→¬q)(p→q)∨(p→¬q) is a tautology.

Answer 1