Section Diff_comp2'.
Context {W : NormedModule K}.
End Diff_comp2'.
Context {W : NormedModule K}.

Lemma ex_filterdiff_comp'_2 :
forall (f : T -> U) (g : T -> V) (h : U -> V -> W) x,
ex_filterdiff f (locally x) ->
ex_filterdiff g (locally x) ->
ex_filterdiff (fun t => h (fst t) (snd t)) (locally (f x,g x)) ->
ex_filterdiff (fun y : T => h (f y) (g y)) (locally x).