List of theorems referencing the symbol SIG
(947) Theorem real_sigma0: (FORALL f | (Finite(f) & (range(f) •incin Re)) •imp (Sig(f) in Re)) & (FORALL x | (cdr(x) in Re) •imp (Sig({x}) = cdr(x))) & (FORALL f,t | (Finite(f) & Is_map(f) & (range(f) •incin Re)) •imp (Sig(f) = (Sig(f •ON (domain(f) * t)) •R_PLUS Sig(f •ON (domain(f) - t)))))
(948) Theorem real_sigma: (Svm(F) & (range(F) •incin Re) & Finite(F)) •imp ((Sig(F) in Re) & ((P in F) •imp (Sig({P}) = (F~[car(P)]))) & (Sig(F) = (Sig(F •ON (domain(F) * A)) •R_PLUS Sig(F •ON (domain(F) - A)))))
(955) Theorem real_function_sigma: (Svm(ser) & (range(ser) •incin RF) & Finite(ser)) •imp ((FSig(ser) in RF & (p in ser) •imp (Sig({p}) = ser(car(p)))) &(FORALL a | Sig(ser) = Sig(ser •ON (domain(ser) * a)) •R_PLUS Sig(ser •ON domain(ser) - a)))