diff --git a/src/Lean/Meta/Tactic/Grind/EMatchTheorem.lean b/src/Lean/Meta/Tactic/Grind/EMatchTheorem.lean
index 1047c54553..5e3bd19a11 100644
--- a/src/Lean/Meta/Tactic/Grind/EMatchTheorem.lean
+++ b/src/Lean/Meta/Tactic/Grind/EMatchTheorem.lean
@@ -794,13 +794,6 @@ private def checkCoverage (thmProof : Expr) (numParams : Nat) (bvarsFound : Std.
             fvarsFound := update fvarsFound xType
             processed := processed.insert fvarId
             modified := true
-          else if (← isProp xType) then
-            -- If `x` is a proposition, and all theorem variables in `x`s type have already been found
-            -- add it to `fvarsFound` and mark it as processed.
-            if checkTypeFVars thmVars fvarsFound xType then
-              fvarsFound := fvarsFound.insert fvarId
-              processed := processed.insert fvarId
-              modified := true
           else if (← fvarId.getDecl).binderInfo matches .instImplicit then
             -- If `x` is instance implicit, check whether
             -- we have found all free variables needed to synthesize instance
@@ -809,6 +802,13 @@ private def checkCoverage (thmProof : Expr) (numParams : Nat) (bvarsFound : Std.
               fvarsFound := update fvarsFound xType
               processed := processed.insert fvarId
               modified := true
+          else if (← isProp xType) then
+            -- If `x` is a proposition, and all theorem variables in `x`s type have already been found
+            -- add it to `fvarsFound` and mark it as processed.
+            if checkTypeFVars thmVars fvarsFound xType then
+              fvarsFound := fvarsFound.insert fvarId
+              processed := processed.insert fvarId
+              modified := true
       if fvarsFound.size == numParams then
         return .ok
       if !modified then
diff --git a/tests/lean/run/grind_11477.lean b/tests/lean/run/grind_11477.lean
new file mode 100644
index 0000000000..08be945365
--- /dev/null
+++ b/tests/lean/run/grind_11477.lean
@@ -0,0 +1,64 @@
+class Rel (a: Type u) where
+  rel: a → a → Prop
+
+class Test {a: Type u} [Rel a] (x: a) (p: outParam (a → Prop)) where
+  pf: ∀ y: a, Rel.rel x y = p y
+
+theorem test
+  {a: Type u} [Rel a]
+  (x y: a)
+  {p: a → Prop} [Test x p]
+  : Rel.rel x y = p y
+  := by
+    simp [Test.pf]
+
+grind_pattern test => Rel.rel x y
+
+theorem testGrind
+  {a: Type u} [Rel a]
+  (x y: a)
+  {p: a → Prop} [Test x p]
+  : Rel.rel x y = p y
+  := by
+    grind
+
+class TestBis {a: Type u} [Rel a] (x: a) (p: outParam (a → Prop)) where
+  pf: ∀ y: a, Rel.rel x y = p y
+
+instance {a: Type u} [Rel a] (x: a) (p: a → Prop) [TestBis x p]: Test x p where
+  pf := TestBis.pf
+
+theorem testBisGrind
+  {a: Type u} [Rel a]
+  (x y: a)
+  {p: a → Prop} [TestBis x p]
+  : Rel.rel x y = p y
+  := by
+    grind
+
+section TestHierarchy
+class Refl (a: Type u) [Rel a] where
+  refl: ∀ x: a, Rel.rel x x
+
+theorem refl
+  {a: Type u} [Rel a] [Refl a]
+  (x: a)
+  : Rel.rel x x
+  := by
+    apply Refl.refl
+
+grind_pattern refl => Rel.rel x x
+
+class AllRel (a: Type u) [Rel a] where
+  all: ∀ x y: a, Rel.rel x y
+
+instance {a} [Rel a] [AllRel a]: Refl a where
+  refl := by simp [AllRel.all]
+
+theorem refl_allrel
+  {a: Type u} [Rel a] [AllRel a]
+  (x: a)
+  : Rel.rel x x
+  := by
+    grind
+end TestHierarchy