/sci/ - Science & Math

P is a set of paths p, each path p is made of edges. Edges have a weight [math]w_e[/math] and a capacity [math]c_e[/math]

I don't get the equality on the second line here, seems to me like on the left side we take all weights [math]w_e[/math], then on the right side we only took the ones that belong to the "current" path p, so why do we have an equality and not a [math]leq[/math] ?

Are there supposed to be parenthesis here ?