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-rw-r--r--theories/Wellfounded/Lexicographic_Product.v9
1 files changed, 3 insertions, 6 deletions
diff --git a/theories/Wellfounded/Lexicographic_Product.v b/theories/Wellfounded/Lexicographic_Product.v
index 4b8447f4..b2ada2f9 100644
--- a/theories/Wellfounded/Lexicographic_Product.v
+++ b/theories/Wellfounded/Lexicographic_Product.v
@@ -44,14 +44,11 @@ Section WfLexicographic_Product.
apply H2.
auto with sets.
- injection H1.
- destruct 2.
- injection H3.
- destruct 2; auto with sets.
+ injection H1 as <- _.
+ injection H3 as <- _; auto with sets.
rewrite <- H1.
- injection H3; intros _ Hx1.
- subst x1.
+ injection H3 as -> H3.
apply IHAcc0.
elim inj_pair2 with A B x y' x0; assumption.
Defined.