Sentence 1: Don't ask me to help you, because I won't.

Sentence 2: I won't help you so don't ask.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: It begins with a series of lighted panels illustrating the manuscript.

Sentence 2: Lighted panels help to illuminate the manuscript.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: She felt that once Mrs. Vandemeyer gave them the slip, the last hope of finding Tommy would be gone.

Sentence 2: She believed that there wouldn't be any hope of finding Tommy if Mrs. Vandemeyer got away.
Is this second sentence entailed by the first?

Answer:
yes