### coq

#### Could coq derive this solution automatically? Can coq manipulate algebraic expressions when performing the search for a proof?

This problem is taken from a Corporate Finance course, but the financial details aren't what matters. The problem was that given this formula: and values for: , one had obtain r_wacc. (I'm simplifying the problem a little) The solution was to divide the numerator and denominator of each fraction by E to obtain: Which equals to: Now obtaining r_wacc is easily done by substituing with the known values. Could coq derive the solutions automatically given only the initial formula and the same known values? Or in other words, can coq manipulate algebraic expressions when performing the search for a proof?

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