Sentence 1: The Sarbanes-Oxley Act of 2002 provides for additional enforcement authority for both the SEC and the newly created PCAOB.

Sentence 2: The PCAOB and the SEC were both thrilled with the additional authority provided by the Sarbanes-Oxley Act of 2002.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: DEFAULT - The failure to meet any obligation or term of a credit agreement, grant, or contract.

Sentence 2: Default is what happens when someone meets their obligations under contract.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: 5 million green-card holders resident in the United States in 1996 were eligible to apply for U.S. citizenship.)

Sentence 2: Nobody in 1996 was allowed to apply for U.S. citizenship.
Is this second sentence entailed by the first?

Answer:
no