* objetos JSON (`dict`).
    * arrays JSON (`list`), definindo tipos dos itens.
    * campos String (`str`), definindo tamanho mínimo e máximo.
    * Numbers (`int`, `float`) com valores mínimos e máximos, etc.

* Validação de tipos mais exóticos, como:
    * URL.
    * Email.
    * UUID.
    * ...e outros.

## **FastAPI** plug-ins

Integrations and "plug-ins" can be built using the **Dependency Injection** system. But in fact, there is actually **no need to create "plug-ins"**, as by using dependencies it's possible to declare an infinite number of integrations and interactions that become available to your *path operation functions*.

=== "Python 3.8+"

    ```Python hl_lines="9"
    {!> ../../../docs_src/path_params_numeric_validations/tutorial003_an.py!}
    ```

## Number validations: greater than or equal

With `Query` and `Path` (and others you'll see later) you can declare number constraints.

Here, with `ge=1`, `item_id` will need to be an integer number "`g`reater than or `e`qual" to `1`.

=== "Python 3.9+"

    ```Python hl_lines="10"

* `min_length`
* `max_length`
* `pattern`

In these examples you saw how to declare validations for `str` values.

But as you go away from the counter and sit at the table with a number for your turn, you can switch 🔀 your attention to your crush, and "work" ⏯ 🤓 on that. Then you are again doing something very "productive" as is flirting with your crush 😍.

!!! tip
    El <abbr title="parche">"PATCH"</abbr> es el último número, por ejemplo, en `0.2.3`, la <abbr title="versiones de parche">PATCH version</abbr> es `3`.

Entonces, deberías fijar la versión así:

```txt
fastapi>=0.45.0,<0.46.0
```

                            "type": "number",
                            "description": "The price must be greater than zero",
                        },
                        "tax": IsDict(
                            {
                                "title": "Tax",
                                "anyOf": [{"type": "number"}, {"type": "null"}],
                            }
                        )

                            "type": "number",
                            "description": "The price must be greater than zero",
                        },
                        "tax": IsDict(
                            {
                                "title": "Tax",
                                "anyOf": [{"type": "number"}, {"type": "null"}],
                            }
                        )

                        ),
                        "price": {"title": "Price", "type": "number"},
                        "tax": IsDict(
                            {
                                "title": "Tax",
                                "anyOf": [{"type": "number"}, {"type": "null"}],
                            }
                        )
                        | IsDict(

                        ),
                        "price": {"title": "Price", "type": "number"},
                        "tax": IsDict(
                            {
                                "title": "Tax",
                                "anyOf": [{"type": "number"}, {"type": "null"}],
                            }
                        )
                        | IsDict(