diff options
Diffstat (limited to 'theories/Reals/Rfunctions.v')
| -rw-r--r-- | theories/Reals/Rfunctions.v | 7 |
1 files changed, 5 insertions, 2 deletions
diff --git a/theories/Reals/Rfunctions.v b/theories/Reals/Rfunctions.v index 54bc50e0aa..c7226fc6b0 100644 --- a/theories/Reals/Rfunctions.v +++ b/theories/Reals/Rfunctions.v @@ -786,11 +786,14 @@ Proof. Qed. (*******************************) -(** * Infinit Sum *) +(** * Infinite Sum *) (*******************************) (*********) -Definition infinit_sum (s:nat -> R) (l:R) : Prop := +Definition infinite_sum (s:nat -> R) (l:R) : Prop := forall eps:R, eps > 0 -> exists N : nat, (forall n:nat, (n >= N)%nat -> R_dist (sum_f_R0 s n) l < eps). + +(** Compatibility with previous versions *) +Notation infinit_sum := infinite_sum (only parsing). |