For a  conditional statement, the contrapositive of the converse is always logically equivalent to the inverse.   Is it true or false?

Translate the English sentences: (a) At least one green dragons can fly. (b) A dragon can fly only if it is green. each into a predicate logic formula, using the predicates dragon, green and canFly.

Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form “if ?, then ?.”Example: Whenever it rains, it pours. Answer: Original statement: If it rains, then it pours. Converse: If it pours, then it rains. Inverse: If it doesn’t rain, then it doesn’t pour. Contrapositive: If it doesn’t pour, then it doesn’t rain. 1.1 You can do it if you put your mind to it. 1.2 Being cold implies that you need a jacket. 1.3 Petting the cat is sufficient for it to purr.

Express this in predicate logic: Each email address has exactly one email box. M(x): x is an email address B(x,y): x has an email box y