Sentence 1: But the hesitant Carlo Alberto of Piedmont gave the Austrians time to recover and Italian gains toppled like dominoes.

Sentence 2: The Italians, led by Carlo Alberto of Piedmont, defeated the Austrians.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: The red sun painted the land in cool light, turning the sky to a deep shade of amber.

Sentence 2: The sun was just minutes away from disappearing.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: meets its purpose of providing basic information to individual workers, but further improvement is always possible.

Sentence 2: Basic information is provided to workers, but could always be improved upon.
Is this second sentence entailed by the first?

Answer:
yes