Sentence 1: Others attack his pretensions to being a Sensitive New Age Guy, and they damn him with the faint praise that he makes good late-night mood music.

Sentence 2: Some attack his pretensions to being a Sensitive New Age Guy.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: The reporting system rested on the definition of a case.

Sentence 2: The key here was the meaning of the concept of a case.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: The ideal, Prudie thinks, is choosing a gift with some real thought behind it that does not break the bank.

Sentence 2: The perfect gift should be the most expensive one as well.
Is this second sentence entailed by the first?

Answer:
no