diff --git a/Mathlib/Data/Set/Basic.lean b/Mathlib/Data/Set/Basic.lean
index 7827cea112302..aafa4ca011c68 100644
--- a/Mathlib/Data/Set/Basic.lean
+++ b/Mathlib/Data/Set/Basic.lean
@@ -806,12 +806,12 @@ theorem union_right_comm (s₁ s₂ s₃ : Set α) : s₁ ∪ s₂ ∪ s₃ = s
 @[simp]
 theorem union_eq_left {s t : Set α} : s ∪ t = s ↔ t ⊆ s :=
   sup_eq_left
-#align set.union_eq_left Set.union_eq_left
+#align set.union_eq_left_iff_subset Set.union_eq_left
 
 @[simp]
 theorem union_eq_right {s t : Set α} : s ∪ t = t ↔ s ⊆ t :=
   sup_eq_right
-#align set.union_eq_right Set.union_eq_right
+#align set.union_eq_right_iff_subset Set.union_eq_right
 
 theorem union_eq_self_of_subset_left {s t : Set α} (h : s ⊆ t) : s ∪ t = t :=
   union_eq_right.mpr h