1a entails 1b
1a) The cat killed a mouse.
1b) The mouse died.

2a presupposes 2b
2a) Jack’s older brother goes to Brooklyn College.
2b) Jack has an older brother.
Presupposition is triggered by a possessive clause.

3a presupposes 3b
3a) He’s sorry that he ate your cupcakes.
3b) He ate your cupcakes.
Presupposition is triggered by “sorry that”.

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