Sentence 1: That'll get them screaming, said then President Georges Pompidou, as he approved the plans (chosen from 681 competing designs) for the cultural center formally bearing his name, but more popularly known as simply Beaubourg, after its 13th-century neighborhood.

Sentence 2: The cultural center officially named after President Georges Pompidou is often known by another name.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: They were paid for by the prominent Tornabuoni family (his biblical scenes are peopled with portraits of his patrons in the latest fashions of the time).

Sentence 2: The Tornabuoni family also gave them food.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: because Sunday was really busy

Sentence 2: There was nothing to get done on Sunday.
Is this second sentence entailed by the first?

Answer:
no