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rest (up)on something
to lie on something; to take it easy on something. (upon is formal and less commonly used than on.) Here, rest upon this mat. I'll just rest on this chair, thanks.
1. To place, lay, or lean something on some other thing for support, ease, or repose: She rested the vase on the table.
2. To be supported by or based on something: The flowerpot rests on the shelf.
3. To be contingent upon something or someone; depend on something or someone: Whether or not we have a picnic rests on the weather.