Changes not schema to use prior definition

Author: spacether

modules/openapi-json-schema-generator/src/main/resources/python/components/schemas/_helper_composed_schemas.hbs

@@ -67,7 +67,7 @@ class AnyOf:
 
 {{> components/schemas/_helper_refclass_staticmethod }}
 {{else}}
-{{> components/schemas/_helper_schema_switch_case identifierPieces=(append identifierPieces jsonPathPiece) }}
+_Not: typing_extensions.TypeAlias = {{jsonPathPiece.camelCase}}[U]
 {{/if}}
 {{/with}}
 {{/if}}

samples/openapi3/client/petstore/python/src/petstore_api/components/schema/any_type_not_string.py

@@ -25,7 +25,7 @@ class AnyTypeNotString(
 
     class Schema_:
         # any type
-        _Not: typing_extensions.TypeAlias = schemas.StrSchema[U]
+        _Not: typing_extensions.TypeAlias = _Not[U]
 
 
     def __new__(

samples/openapi3/client/petstore/python/src/petstore_api/components/schema/user.py

@@ -97,7 +97,7 @@ class AnyTypeExceptNullProp(
 
     class Schema_:
         # any type
-        _Not: typing_extensions.TypeAlias = schemas.NoneSchema[U]
+        _Not: typing_extensions.TypeAlias = _Not[U]
 
 
     def __new__(
@@ -278,7 +278,7 @@ class AnyTypeExceptNullProp(
 
                 class Schema_:
                     # any type
-                    _Not: typing_extensions.TypeAlias = schemas.NoneSchema[U]
+                    _Not: typing_extensions.TypeAlias = _Not[U]
 
 
                 def __new__(