{!> ../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

////

## 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

//// tab | Python 3.9+

```Python hl_lines="10"
{!> ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py!}
```

////

//// tab | Python 3.8+

chính xác",wrongFileDim:"Kích thước ảnh chưa chính xác,",imageTooTall:"Chiều cao ảnh không được vượt quá",imageTooWide:"Chiều rộng ảnh không được vượt quá",imageTooSmall:"Kích thước ảnh quá nhỏ",min:"nhỏ nhất",max:"lớn nhất",imageRatioNotAccepted:"Tỷ lệ ảnh chưa chính xác"}})}(a,window)});...

    session.add(hero)
    session.commit()
    session.refresh(hero)
    return hero


@app.get("/heroes/")
def read_heroes(
    session: SessionDep,
    offset: int = 0,
    limit: Annotated[int, Query(le=100)] = 100,
) -> list[Hero]:
    heroes = session.exec(select(Hero).offset(offset).limit(limit)).all()
    return heroes


@app.get("/heroes/{hero_id}")
def read_hero(hero_id: int, session: SessionDep) -> Hero:

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    session.refresh(db_hero)
    return db_hero


@app.get("/heroes/", response_model=list[HeroPublic])
def read_heroes(
    session: SessionDep,
    offset: int = 0,
    limit: Annotated[int, Query(le=100)] = 100,
):
    heroes = session.exec(select(Hero).offset(offset).limit(limit)).all()
    return heroes


@app.get("/heroes/{hero_id}", response_model=HeroPublic)
def read_hero(hero_id: int, session: SessionDep):

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```Python hl_lines="8"
{!../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

## 숫자 검증: 크거나 같음 및 작거나 같음

동일하게 적용됩니다:

* `gt`: 크거나(`g`reater `t`han)
* `le`: 작거나 같은(`l`ess than or `e`qual)

```Python hl_lines="9"
{!../../docs_src/path_params_numeric_validations/tutorial005.py!}
```

## 숫자 검증: 부동소수, 크거나 및 작거나

숫자 검증은 `float` 값에도 동작합니다.

    # https://bats-core.readthedocs.io/en/stable/writing-tests.html#printing-to-the-terminal
    echo "# Size of $TF_WHEEL is $WHEEL_MEGABYTES / $LARGEST_OK_SIZE megabytes." >&3
    test "$WHEEL_MEGABYTES" -le "$LARGEST_OK_SIZE"
}

# Note: this runs before the tests further down the file, so TF is installed in
# the venv and the venv is active when those tests run. The venv gets cleaned
# up in teardown_file() above.

    session.commit()
    session.refresh(hero)
    return hero


@app.get("/heroes/")
def read_heroes(
    session: Session = Depends(get_session),
    offset: int = 0,
    limit: int = Query(default=100, le=100),
) -> list[Hero]:
    heroes = session.exec(select(Hero).offset(offset).limit(limit)).all()
    return heroes


@app.get("/heroes/{hero_id}")

```Python hl_lines="8"
{!../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

## 数值校验：大于和小于等于

同样的规则适用于：

* `gt`：大于（`g`reater `t`han）
* `le`：小于等于（`l`ess than or `e`qual）

```Python hl_lines="9"
{!../../docs_src/path_params_numeric_validations/tutorial005.py!}
```

## 数值校验：浮点数、大于和小于

数值校验同样适用于 `float` 值。