But in Mathematica Integrate is now almost completely systematic, being based on structure theorems for finding general forms of integrals, and on general representations in terms of MeijerG and other functions. … But although still almost unknown in mainstream mathematics, methods from automated theorem proving (see page 1157 ) are beginning to allow proofs of many statements that can be formulated in terms of operator systems to be found in a largely systematic way (e.g. page 810 ).