Lista 2 Let f : Rm -> R" of class C' such that for every r, v E RM any one has > Jal|v 2 , Where a 2 0 is a constant. Prove that If(x) - f(y) > ar - y for every arbitrary r, y E Rm. Conclude that f ( Rm) is closed, and hence, that f is a diffeomorphism of Rm about itself. 15:47 18/07/2021