Please solve using Alloy

(a) (2 points) Add prod Branching [f : FSM] which takes an FSM as input and returns true if the FSM has a state with more than one outgoing transition. (b) (2 points) Add pros nonDeterminism [f : FSM] which takes an FSM as input and returns true if the FSM has a state with two or more transitions whose actions differ. (c) (4 points) Add an assertion assert strong redicate that checks which of the predicates Branching and nonDeterminisum is stronger, i,e., if branching implies nondeterminism or vice versa? Include the assertion results in your answer, as well