diff --git a/src/parse.jl b/src/parse.jl
index a532fd8..89bf891 100644
--- a/src/parse.jl
+++ b/src/parse.jl
@@ -132,9 +132,9 @@ test_lambdas = [
         )
     ),
     (
-        :((y) -> ==(y, x)),
+        :(y -> *(x, y)),
         :(
-            Fix(==, Template((ArgPos{1}(), Some(x))))
+            Fix(*, Template((Some(x), ArgPos{1}())))
         )
     ),
     (
@@ -172,6 +172,10 @@ test_lambdas = [
         :((x, z) -> map(y -> *(x, y), z)),
         missing
     )
+    (
+        :(x -> x),
+        missing # throw an error
+    )
 ]