Using a priority_queue of int with custom compare

I have numbers from 1 to n, and an array of priorities P of size n. I want to declare a priority queue using P as their priorities.

I don't want to define a new type of object that contains the number and its priority, I want to use a priority queue of int objects and pass a custom comparison object that depends on P to std::priority_queue. I tried the following but it doesn't work:

std::priority_queue<int, vector<int>, [P](int i, int j){ return P[i]<P[j]; }> PQ;

I also tried defining a class with a bool operator(int i, int j) {P[i] < P[j]} member and a constructor where I can pass P to it but that also didn't work.

How should I declare my priority queue?