: $\forall (X, Y)\in  {\mathcal {C}}_{(q, du_-(q))}{\mathcal {G}}(du_-),  $ $$\| Y-\tilde s_-(q, du_-(q))X\|\leq 0\sqrt{\|\Delta s(q, du_-(q))\|} .\sqrt{\Delta s(q, du_-(q))(X,X)}$$ $$\leq 0\Lambda (\Delta s(q, du_-(q))). \| p_{\Delta s(q, du_-(q))}(X)\|$$ 