The objective of this article is to define an approach towards generating implicationswith (or without) negation when only a formal context K = (G, M, I) is provided. To that end, we define a two-step procedure which first (i) computes implications whose left-hand side is a key in the context K\tilde{K} representing the apposition of the context K and its complementary \tilde{K} with attributes in \tilde{M}(negative attributes), and then (ii) uses an inference axiom we have defined to produce the whole set of implications. The initial context K needs to be reduced.