model_name_map: Dict[Union[Type[BaseModel], Type[Enum]], str],
    ) -> Dict[str, Any]:
        definitions: Dict[str, Dict[str, Any]] = {}
        for model in flat_models:
            m_schema, m_definitions, m_nested_models = model_process_schema(
                model, model_name_map=model_name_map, ref_prefix=REF_PREFIX
            )
            definitions.update(m_definitions)
            model_name = model_name_map[model]