Sentence 1: I have been admiring these flower beds.

Sentence 2: I have been admiring the flower beds.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: And astrologer Jeane Dixon died of a heart attack.

Sentence 2: Jeane Dixon is an astronomer.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Yes, if you have no caravan and a good horse.

Sentence 2: It's just impossible, no matter how great your horse is.
Is this second sentence entailed by the first?

Answer:
no