The document presents a series of statements requiring conversion into propositional algebra form using defined predicates for frogs, their characteristics, and the condition of rain. It includes various assertions about frogs, such as their existence, color, and actions. Key logical relationships are also explored regarding the statements' truth conditions.

1. Need help please
Given the following sentences, convert them into an appropriate propositional
algebra form, assuming R represents the statement It is raining, F(x) represents
the predicate x is a frog, G(x) represents the predicate x is green, H(x)
represents the predicate x is hopping, and I(x) represents the predicate x is
iridescent.
9. Everything is a frog.
10. Nothing is a frog.
11. Green frogs exist.
12. Everything green is a frog.
13. It is raining and some frogs are hopping.
14. If it is raining, then all frogs are hopping.
15. Either everything is a frog or nothing is a frog.
16. Some green frogs are not hopping.