A Four-Flagged Lemma
RES (Review of Economic Studies) , January, 1971, concerning whether or not Gorman's Lemma 1 (RES, 1968) can be strengthened by re-laxing Gorman's assumption of arc-connectivity for the space of prospects to connectivity alone. A lemma is proved showing the mentioned relaxation feasible and furnishing proof for Gorman's Lemma 1. This supplies a missing foundation stone of Gorman's "Structure of Utility Functions " and generalizes the results therein.