fact: Definition extension_C1 (f df : R -> V) (a b : Rbar) (x : R) : V := match Rbar_le_dec a x with | left _ => match Rbar_le_dec x b with | left _ => f x | right _ => plus (f (real b)) (scal (x - real b) (df (real b))) end | right _ => plus (f (real a)) (scal (x - real a) (df (real a))) end.
imports: Coq(Reals Psatz ssreflect) Rcomplements Rbar Lim_seq Iter Hierarchy Continuity Equiv