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authorGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2014-06-01 10:26:26 +0200
committerGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2014-06-01 11:33:55 +0200
commit76adb57c72fccb4f3e416bd7f3927f4fff72178b (patch)
treef8d72073a2ea62d3e5c274c201ef06532ac57b61 /theories/Reals/Ranalysis2.v
parentbe01deca2b8ff22505adaa66f55f005673bf2d85 (diff)
Making those proofs which depend on names generated for the arguments
in Prop of constructors of inductive types independent of these names. Incidentally upgraded/simplified a couple of proofs, mainly in Reals. This prepares to the next commit about using names based on H for such hypotheses in Prop.
Diffstat (limited to 'theories/Reals/Ranalysis2.v')
-rw-r--r--theories/Reals/Ranalysis2.v4
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Reals/Ranalysis2.v b/theories/Reals/Ranalysis2.v
index c66c7b412..052e80006 100644
--- a/theories/Reals/Ranalysis2.v
+++ b/theories/Reals/Ranalysis2.v
@@ -433,10 +433,10 @@ Proof.
unfold IZR; unfold INR, Pos.to_nat; simpl; intro;
elim (Rlt_irrefl 1 (Rlt_trans _ _ _ H13 H12)).
apply IZR_lt; omega.
- unfold Rabs; case (Rcase_abs (/ 2)); intro.
+ unfold Rabs; case (Rcase_abs (/ 2)) as [Hlt|Hge].
assert (Hyp : 0 < 2).
prove_sup0.
- assert (H11 := Rmult_lt_compat_l 2 _ _ Hyp r); rewrite Rmult_0_r in H11;
+ assert (H11 := Rmult_lt_compat_l 2 _ _ Hyp Hlt); rewrite Rmult_0_r in H11;
rewrite <- Rinv_r_sym in H11; [ idtac | discrR ].
elim (Rlt_irrefl 0 (Rlt_trans _ _ _ Rlt_0_1 H11)).
reflexivity.