Turn unused disjoint_union_difference into something more sensible.

e920e294 · Robbert Krebbers · 4b0905e4 · e920e294
Commit e920e294 authored Jul 12, 2016 by Robbert Krebbers
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theories/collections.v theories/collections.v +3 -3

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--- a/theories/collections.v
+++ b/theories/collections.v
@@ -418,7 +418,7 @@ Section collection.
  Proof. set_solver. Qed.
  Lemma difference_intersection_distr_l X Y Z : (X ∩ Y) ∖ Z ≡ X ∖ Z ∩ Y ∖ Z.
  Proof. set_solver. Qed.
-  Lemma disjoint_union_difference X Y : X ⊥ Y → (X ∪ Y) ∖ X ≡ Y.
+  Lemma difference_disjoint X Y : X ⊥ Y → X ∖ Y ≡ X.
  Proof. set_solver. Qed.

  Section leibniz.
@@ -438,8 +438,8 @@ Section collection.
    Lemma difference_intersection_distr_l_L X Y Z :
      (X ∩ Y) ∖ Z = X ∖ Z ∩ Y ∖ Z.
    Proof. unfold_leibniz. apply difference_intersection_distr_l. Qed.
-    Lemma disjoint_union_difference_L X Y : X ⊥ Y → (X ∪ Y) ∖ X = Y.
-    Proof. unfold_leibniz. apply disjoint_union_difference. Qed.
+    Lemma difference_disjoint_L X Y : X ⊥ Y → X ∖ Y = X.
+    Proof. unfold_leibniz. apply difference_disjoint. Qed.
  End leibniz.

  Section dec.