diff --git a/src/Init/Grind/Norm.lean b/src/Init/Grind/Norm.lean
index 8a35d84467..78a25ff386 100644
--- a/src/Init/Grind/Norm.lean
+++ b/src/Init/Grind/Norm.lean
@@ -106,6 +106,7 @@ init_grind_norm
   or_true true_or or_false false_or or_assoc
   -- ite
   ite_true ite_false ite_true_false ite_false_true
+  dite_eq_ite
   -- Forall
   forall_and
   -- Exists
diff --git a/tests/lean/run/grind_t1.lean b/tests/lean/run/grind_t1.lean
index 848f6fff2c..6a4691b9e3 100644
--- a/tests/lean/run/grind_t1.lean
+++ b/tests/lean/run/grind_t1.lean
@@ -393,3 +393,6 @@ example [Decidable p] : a = true → p → decide p = a := by
 
 example [Decidable p] : false = a → ¬p → decide p = a := by
   grind
+
+example (a : Nat) (p q r : Prop) (h₁ : if _ : a < 1 then p else q) (h₂ : r) : (if a < 1 then p else q) ↔ r := by
+  grind (splits := 0)