Sentence 1: But we were told, and I think most people accepted the explanation, that golf relaxed Ike from the stresses of his job and enabled him to perform better.

Sentence 2: Ike was easily stressed out by his job as a detective.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: Alas, golden ages do end.

Sentence 2: Even the great times come to a close.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: The second key element in our definition is a comprehensive understanding.

Sentence 2: Comprehensive understanding is a key element of the definition.
Is this second sentence entailed by the first?

Answer:
yes