То же самое применимо к:

* `gt`: больше (`g`reater `t`han)
* `le`: меньше или равно (`l`ess than or `e`qual)

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Валидация числовых данных: числа с плавающей точкой, больше и меньше { #number-validations-floats-greater-than-and-less-than }

O mesmo se aplica a:

* `gt`: maior que (`g`reater `t`han)
* `le`: menor que ou igual (`l`ess than or `e`qual)

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validações numéricas: floats, maior que e menor que { #number-validations-floats-greater-than-and-less-than }

Lo mismo aplica para:

* `gt`: `g`reater `t`han
* `le`: `l`ess than or `e`qual

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validaciones numéricas: flotantes, mayor y menor { #number-validations-floats-greater-than-and-less-than }

Las validaciones numéricas también funcionan para valores `float`.

Das Gleiche gilt für:

* `gt`: `g`reater `t`han (größer als)
* `le`: `l`ess than or `e`qual (kleiner oder gleich)

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validierung von Zahlen: Floats, größer und kleiner { #number-validations-floats-greater-than-and-less-than }

## Number validations: greater than and less than or equal { #number-validations-greater-than-and-less-than-or-equal }

The same applies for:

* `gt`: `g`reater `t`han
* `le`: `l`ess than or `e`qual

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Number validations: floats, greater than and less than { #number-validations-floats-greater-than-and-less-than }

    assert response.json() == {
        "detail": [
            {
                "type": "greater_than",
                "loc": ["path", "item_id"],
                "msg": "Input should be greater than 3",
                "input": "2",
                "ctx": {"gt": 3.0},
            }
        ]
    }


def test_path_param_gt0_0_05():
    response = client.get("/path/param-gt0/0.05")

    assert response.json() == {
        "detail": [
            {
                "type": "greater_than",
                "loc": ["body", "item", "price"],
                "msg": "Input should be greater than 0",
                "input": -3.0,
                "ctx": {"gt": 0.0},
            }
        ]
    }


def test_openapi_schema(client: TestClient):
    response = client.get("/openapi.json")

        Optional[float],
        Doc(
            """
            Greater than. If set, value must be greater than this. Only applicable to
            numbers.
            """
        ),
    ] = None,
    ge: Annotated[
        Optional[float],
        Doc(
            """
            Greater than or equal. If set, value must be greater than or equal to
            this. Only applicable to numbers.
            """

class Item(BaseModel):
    name: str
    description: Union[str, None] = Field(
        default=None, title="The description of the item", max_length=300
    )
    price: float = Field(gt=0, description="The price must be greater than zero")
    tax: Union[float, None] = None


@app.put("/items/{item_id}")
async def update_item(item_id: int, item: Item = Body(embed=True)):
    results = {"item_id": item_id, "item": item}

    assert response.json() == {
        "detail": [
            {
                "loc": ["path", "item_id"],
                "input": "-1",
                "msg": "Input should be greater than or equal to 0",
                "type": "greater_than_equal",
                "ctx": {"ge": 0},
            }
        ]
    }


def test_read_items_item_id_greater_than_one_thousand(client: TestClient):