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We propose and study coercive subtyping, a formal extension with subtyping of dependent type theories such as Martin-L of's type theory 38] and the type theory UTT 30]. In this approach, subtyping with speci ed implicit coercions is treated as a feature at the level of the logical framework; in particular, the meaning of an object being in a supertype is given by coercive de nition rules for the de nitional equality. This provides a conceptually simple and uniform framework to understanddoi:10.1093/logcom/9.1.105 fatcat:dv2xyk5nzbf3dk5od6wuwsdovi