2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143254One proves that any everywhere defined constructive mapping from a complete metric space into a complete metric space which preserves the property of precompacity of subsets is locally uniformly continuous. This fact can be viewed as interpretation of L. E. J. Brower's fan theorem in terms of A. A. Markov's constructive analysis.13 pagesLogicFunctional Analysis03F60; 46S30text