diff options
Diffstat (limited to 'flocq/Core/Fcore_rnd.v')
| -rw-r--r-- | flocq/Core/Fcore_rnd.v | 14 |
1 files changed, 6 insertions, 8 deletions
diff --git a/flocq/Core/Fcore_rnd.v b/flocq/Core/Fcore_rnd.v index 171c27fc..e5091684 100644 --- a/flocq/Core/Fcore_rnd.v +++ b/flocq/Core/Fcore_rnd.v @@ -275,15 +275,13 @@ Theorem Only_DN_or_UP : F f -> (fd <= f <= fu)%R -> f = fd \/ f = fu. Proof. -intros F x fd fu f Hd Hu Hf ([Hdf|Hdf], Hfu). -2 : now left. -destruct Hfu. -2 : now right. -destruct (Rle_or_lt x f). -elim Rlt_not_le with (1 := H). +intros F x fd fu f Hd Hu Hf [Hdf Hfu]. +destruct (Rle_or_lt x f) ; [right|left]. +apply Rle_antisym with (1 := Hfu). now apply Hu. -elim Rlt_not_le with (1 := Hdf). -apply Hd ; auto with real. +apply Rlt_le in H. +apply Rle_antisym with (2 := Hdf). +now apply Hd. Qed. Theorem Rnd_ZR_abs : |