Łoś's Theorem - Natural & Formal Sciences - Mathematics & Logic Dictionary Definition The transfer theorem stating that a first-order formula holds in an ultraproduct (or ultrapower) precisely when the set of indices at which the formula holds in the factors belongs to the chosen ultrafilter.
Łoś's Theorem - Natural & Formal Sciences - Mathematics & Logic Dictionary Definition The transfer theorem stating that a first-order formula holds in an ultraproduct (or ultrapower) precisely when the set of indices at which the formula holds in the factors belongs to the chosen ultrafilter.