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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/R_sqrt.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/R_sqrt.v')
-rw-r--r--theories/Reals/R_sqrt.v4
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Reals/R_sqrt.v b/theories/Reals/R_sqrt.v
index 2d9419bdf..19e111f23 100644
--- a/theories/Reals/R_sqrt.v
+++ b/theories/Reals/R_sqrt.v
@@ -37,8 +37,8 @@ Lemma sqrt_sqrt : forall x:R, 0 <= x -> sqrt x * sqrt x = x.
Proof.
intros.
unfold sqrt.
- case (Rcase_abs x); intro.
- elim (Rlt_irrefl _ (Rlt_le_trans _ _ _ r H)).
+ case (Rcase_abs x) as [Hlt|Hge].
+ elim (Rlt_irrefl _ (Rlt_le_trans _ _ _ Hlt H)).
rewrite Rsqrt_Rsqrt; reflexivity.
Qed.