Lay claim to something
Definition 1 of 3
Pro Tip 1/3Asserting Ownership
Used when someone strongly believes they have the legal or moral right to possess something. 
The heiress laid claim to her inheritance.
Pro Tip 2/3Historical Context
Often found in discussions about history or law where ownership or rights were disputed. 
The natives laid claim to the land long before the settlers arrived.
Pro Tip 3/3Metaphorical Use
Can be used metaphorically to express a strong conviction in one's rights or arguments. 
She laid claim to the idea, insisting it was originally hers.