List of theorems referencing the symbol PI


(957) Theorem 20013: [Cauchy integral formula] (is_analytic_CF(f) & (domain(f) incs {w in Cm | C_abs(w) •R_GE R_1})) •imp (FORALL w in Cm | (C_abs(w) •R_GT R_1) •imp ((f~[w]) = (Line_Int({[x,(f~[x]) •C_OVER (x •C_MINUS w)]: x in (Cm -{w})}, {[x,C_exp_fcn([R_0,x])]: x in Re}, R_0, pi •R_PLUS pi) •C_OVER ([R_0,pi •R_PLUS pi])) ))