They have a prior claim to the property.

他们有权优先获得该处房产。

《牛津词典》

Debenture holders have a prior claim and accept the least risk.

债券持有人有优先索赔权，风险最小。

youdao

Marion had just been to see me, and had a prior claim so to speak.

在那之前玛丽恩刚来看过我，可以说有优先要求权。

youdao

Earlier this week, Consumer Reports called the issue a hardware failure-disputing the company's prior claim that it was simply a software bug-and said it would not recommend the product for purchase.

ENGADGET: Senator Chuck Schumer writes open letter to Steve Jobs, world is officially doomed

Theft losses from investments or business activities can be used to wipe out all your taxable income, can be carried back to claim refunds for two prior years and can be carried forward to offset income for up to 20 years.

FORBES: Magazine Article

These are obvious in hindsight, but there are elements that prior crises have in common, despite the frequent claim that every crisis is different.

FORBES: We Need Smarter Regulation, Not More