With Alex Simpson.
Abstract: We present a constructive meta-theorem about sequential continuity which allows us to conclude from a constructive proof of existence of a function between complete metric spaces satisfying a given system of (functional) equations that there also exists a sequentially continuous function satisfying the system.
Presented at: Trends in Constructive mathematics, Frauenwörth am Chimsee, Germany, June 2006.
Download slides: continuity_begets_continuity_bavaria_slides.pdf