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-rw-r--r--theories/Reals/Ranalysis2.v5
1 files changed, 1 insertions, 4 deletions
diff --git a/theories/Reals/Ranalysis2.v b/theories/Reals/Ranalysis2.v
index 27cb356a0..b749da0d2 100644
--- a/theories/Reals/Ranalysis2.v
+++ b/theories/Reals/Ranalysis2.v
@@ -423,10 +423,7 @@ Proof.
intro; rewrite H11 in H10; assert (H12 := Rmult_lt_compat_l 2 _ _ Hyp H10);
rewrite Rmult_1_r in H12; rewrite <- Rinv_r_sym in H12;
[ idtac | discrR ].
- cut (IZR 1 < IZR 2).
- unfold IZR; unfold INR, Pos.to_nat; simpl; intro;
- elim (Rlt_irrefl 1 (Rlt_trans _ _ _ H13 H12)).
- apply IZR_lt; omega.
+ now apply lt_IZR in H12.
unfold Rabs; case (Rcase_abs (/ 2)) as [Hlt|Hge].
assert (Hyp : 0 < 2).
prove_sup0.