Sentence 1: and what are you doing

Sentence 2: What are you doing?
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: The prolific Rubens is represented by dozens of paintings in the Prado.

Sentence 2: The Prado contains over twenty paintings from Rubens.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Breakfast is ready, said John Cavendish, coming in from the hall.

Sentence 2: John Cavendish said the breakfast is ready, despite not being in the kitchen.
Is this second sentence entailed by the first?

Answer:
yes