Let X and X ′ be collections of transition systems. Why is h ( s ) = ...

Let X and X ′ be collections of transition systems. Why is h ( s ) = h ∗ T X ′ ( σ ( s )) not necessarily an admissible heuristic for T X if the transformation from X to X ′ is not safe? Discuss the question for each of the following reasons why a transformation with functions σ and λ can be unsafe: • c ′ ( λ ( l )) > c ( l ) for at least one l ∈ L • there is a transition 〈 s,l,t 〉 of T X such that 〈 σ ( s ) ,λ ( l ) ,σ ( t ) 〉 is not a transition of T X ′ , or • there is a goal state s of T X such that σ ( s ) is not a goal state of T X ′ .