diff --git a/tests/cases/simple/base.json b/tests/cases/simple/base.json
index 278c828..0317bf1 100644
--- a/tests/cases/simple/base.json
+++ b/tests/cases/simple/base.json
@@ -307,6 +307,34 @@
           }
         }
       }
+    },
+    "/echo": {
+      "post": {
+        "operationId": "echo",
+        "summary": "Echo a shared type",
+        "requestBody": {
+          "required": true,
+          "content": {
+            "application/json": {
+              "schema": {
+                "$ref": "#/components/schemas/SharedType"
+              }
+            }
+          }
+        },
+        "responses": {
+          "200": {
+            "description": "Success",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/SharedType"
+                }
+              }
+            }
+          }
+        }
+      }
     }
   },
   "components": {
@@ -539,6 +567,14 @@
             ]
           }
         ]
+      },
+      "SharedType": {
+        "type": "object",
+        "properties": {
+          "value": {
+            "type": "string"
+          }
+        }
       }
     }
   }
diff --git a/tests/cases/simple/output/add-operation.out b/tests/cases/simple/output/add-operation.out
index 23d6f9b..753b3e9 100644
--- a/tests/cases/simple/output/add-operation.out
+++ b/tests/cases/simple/output/add-operation.out
@@ -1,7 +1,7 @@
 --- add-operation.json
 +++ patched
 @@
-         "summary": "Get arrays"
+         "summary": "Echo a shared type"
        }
      },
 +    "/foo": {
diff --git a/tests/cases/simple/output/input-output-schema-change.out b/tests/cases/simple/output/input-output-schema-change.out
new file mode 100644
index 0000000..5c74774
--- /dev/null
+++ b/tests/cases/simple/output/input-output-schema-change.out
@@ -0,0 +1,64 @@
+--- input-output-schema-change.json
++++ patched
+@@
+       "SharedType": {
+         "properties": {
+           "value": {
+-            "type": "string"
++            "type": "integer"
+           }
+         },
+         "type": "object"
+
+
+Result for patch:
+[
+    Change {
+        paths: [
+            ChangePath {
+                old: [
+                    "#/components/schemas/SharedType/properties/value",
+                    "#/paths/~1echo/post/request_body/content/application~1json/schema/$ref",
+                ],
+                new: [
+                    "#/components/schemas/SharedType/properties/value",
+                    "#/paths/~1echo/post/request_body/content/application~1json/schema/$ref",
+                ],
+                comparison: Input,
+            },
+        ],
+        changes: [
+            ChangeInfo {
+                old_subpath: "",
+                new_subpath: "",
+                message: "schema types changed",
+                class: Incompatible,
+                details: UnknownDifference,
+            },
+        ],
+    },
+    Change {
+        paths: [
+            ChangePath {
+                old: [
+                    "#/components/schemas/SharedType/properties/value",
+                    "#/paths/~1echo/post/responses/200/content/application~1json/schema/$ref",
+                ],
+                new: [
+                    "#/components/schemas/SharedType/properties/value",
+                    "#/paths/~1echo/post/responses/200/content/application~1json/schema/$ref",
+                ],
+                comparison: Output,
+            },
+        ],
+        changes: [
+            ChangeInfo {
+                old_subpath: "",
+                new_subpath: "",
+                message: "schema types changed",
+                class: Incompatible,
+                details: UnknownDifference,
+            },
+        ],
+    },
+]
diff --git a/tests/cases/simple/output/ref-chain-change.out b/tests/cases/simple/output/ref-chain-change.out
index 939c83e..c6dec90 100644
--- a/tests/cases/simple/output/ref-chain-change.out
+++ b/tests/cases/simple/output/ref-chain-change.out
@@ -7,7 +7,7 @@
 -        "$ref": "#/components/schemas/SubType"
 +        "$ref": "#/components/schemas/ErrorResponse"
        },
-       "SubType": {
+       "SharedType": {
          "properties": {
 
 
diff --git a/tests/cases/simple/output/ref-vs-inline-type-change.out b/tests/cases/simple/output/ref-vs-inline-type-change.out
new file mode 100644
index 0000000..38fe82d
--- /dev/null
+++ b/tests/cases/simple/output/ref-vs-inline-type-change.out
@@ -0,0 +1,81 @@
+--- ref-vs-inline-type-change.json
++++ patched
+@@
+             ]
+           },
+           "via_ref": {
+-            "$ref": "#/components/schemas/SubType"
++            "properties": {
++              "value": {
++                "type": "integer"
++              }
++            },
++            "type": "object"
+           }
+         },
+         "required": [
+@@
+       "SubType": {
+         "properties": {
+           "value": {
+-            "type": "string"
++            "type": "integer"
+           }
+         },
+         "type": "object"
+
+
+Result for patch:
+[
+    Change {
+        paths: [
+            ChangePath {
+                old: [
+                    "#/components/schemas/SubType/properties/value",
+                    "#/components/schemas/GreetingResponse/properties/via_allof/0/$ref",
+                    "#/paths/~1hello~1{name}/get/responses/200/content/application~1json/schema/$ref",
+                ],
+                new: [
+                    "#/components/schemas/SubType/properties/value",
+                    "#/components/schemas/GreetingResponse/properties/via_allof/0/$ref",
+                    "#/paths/~1hello~1{name}/get/responses/200/content/application~1json/schema/$ref",
+                ],
+                comparison: Output,
+            },
+        ],
+        changes: [
+            ChangeInfo {
+                old_subpath: "",
+                new_subpath: "",
+                message: "schema types changed",
+                class: Incompatible,
+                details: UnknownDifference,
+            },
+        ],
+    },
+    Change {
+        paths: [
+            ChangePath {
+                old: [
+                    "#/components/schemas/SubType/properties/value",
+                    "#/components/schemas/GreetingResponse/properties/via_ref/$ref",
+                    "#/paths/~1hello~1{name}/get/responses/200/content/application~1json/schema/$ref",
+                ],
+                new: [
+                    "#/components/schemas/GreetingResponse/properties/via_ref/properties/value",
+                    "#/paths/~1hello~1{name}/get/responses/200/content/application~1json/schema/$ref",
+                ],
+                comparison: Output,
+            },
+        ],
+        changes: [
+            ChangeInfo {
+                old_subpath: "",
+                new_subpath: "",
+                message: "schema types changed",
+                class: Incompatible,
+                details: UnknownDifference,
+            },
+        ],
+    },
+]
diff --git a/tests/cases/simple/output/schema-kind-type-to-oneof.out b/tests/cases/simple/output/schema-kind-type-to-oneof.out
index c9753c3..20a03ed 100644
--- a/tests/cases/simple/output/schema-kind-type-to-oneof.out
+++ b/tests/cases/simple/output/schema-kind-type-to-oneof.out
@@ -1,7 +1,7 @@
 --- schema-kind-type-to-oneof.json
 +++ patched
 @@
-         "$ref": "#/components/schemas/SubType"
+         "type": "object"
        },
        "SubType": {
 -        "properties": {
diff --git a/tests/cases/simple/patch/input-output-schema-change.json b/tests/cases/simple/patch/input-output-schema-change.json
new file mode 100644
index 0000000..2442b2a
--- /dev/null
+++ b/tests/cases/simple/patch/input-output-schema-change.json
@@ -0,0 +1,7 @@
+[
+  {
+    "op": "replace",
+    "path": "/components/schemas/SharedType/properties/value/type",
+    "value": "integer"
+  }
+]
diff --git a/tests/cases/simple/patch/ref-vs-inline-type-change.json b/tests/cases/simple/patch/ref-vs-inline-type-change.json
new file mode 100644
index 0000000..8c8181f
--- /dev/null
+++ b/tests/cases/simple/patch/ref-vs-inline-type-change.json
@@ -0,0 +1,19 @@
+[
+  {
+    "op": "replace",
+    "path": "/components/schemas/SubType/properties/value/type",
+    "value": "integer"
+  },
+  {
+    "op": "replace",
+    "path": "/components/schemas/GreetingResponse/properties/via_ref",
+    "value": {
+      "type": "object",
+      "properties": {
+        "value": {
+          "type": "integer"
+        }
+      }
+    }
+  }
+]