Sentence 1: A moment.

Sentence 2: A moment.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: After sorting, the pieces are transported to an air facility and then sent by air to a destination, possibly using lower-capacity equipment than the Postal Service might use.

Sentence 2: the pieces are transported to an air facility and are not sent by air to a destination
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Of course he was.

Sentence 2: No, he wasn't.
Is this second sentence entailed by the first?

Answer:
no