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“Generally if F midconvex and continuous and f(0)<=0 then F is convex and super-additive over the non-negative real domain. Then F can be shown to be super-additive over the non-negative reals. Ie if F is convex (as a result of midconvexity and continuity). F(tx)=F(tx +(1-t)*y)<=tF(x)+(1-t)F(y) Then F(tx)=F(tx +(1-t)*0)<=tF(x) +(1-t)F(0)<=tF(x)+0=tF(x) Using F(t1x)