Sentence 1: Kazimierz built great castles and towns, codified laws, and created an entire administrative system of governance for the war-torn country.

Sentence 2: Great castles and towns built, law codification, and creation of an entire administrative system of governance for the war-torn country--we owe all this to Kazimierz.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Machico can claim to be Madeira's first settlement, the spot where Joao Goncalves Zarco first came ashore on the island in 1419.

Sentence 2: Joao Goncalves Zarco has never been to the island.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: But we're after her.

Sentence 2: We are going for her.
Is this second sentence entailed by the first?

Answer:
yes