org.checkerframework.checker.compilermsgs
org.checkerframework.checker.compilermsgs.qual
org.checkerframework.checker.fenum
org.checkerframework.checker.fenum.qual
org.checkerframework.checker.formatter
org.checkerframework.checker.formatter.qual
org.checkerframework.checker.guieffect
org.checkerframework.checker.guieffect.qual
org.checkerframework.checker.i18n
org.checkerframework.checker.i18n.qual
org.checkerframework.checker.i18nformatter

org.checkerframework.checker.compilermsgs
org.checkerframework.checker.compilermsgs.qual
org.checkerframework.checker.fenum
org.checkerframework.checker.fenum.qual
org.checkerframework.checker.formatter
org.checkerframework.checker.formatter.qual
org.checkerframework.checker.guieffect
org.checkerframework.checker.guieffect.qual
org.checkerframework.checker.i18n
org.checkerframework.checker.i18n.qual
org.checkerframework.checker.i18nformatter

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

## Validações numéricas: maior que e menor que ou igual

O mesmo se aplica para:

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

```Python hl_lines="9"

nogensmenys
només
nosaltres
nostra
nostre
nostres
o
oh
oi
on
pas
pel
pels
per
però
perquè
poc 
poca
pocs
poques
potser
propi
qual
quals
quan
quant 
que
què
quelcom
qui
quin
quina
quines
quins
s'ha
s'han
sa
semblant
semblants
ses
seu 
seus
seva
seva
seves
si
sobre

          "module": "jsr305",
          "version": {
            "requires": "${jsr305.version}"
          }
        },
        {
          "group": "org.checkerframework",
          "module": "checker-qual",
          "version": {
            "requires": "${checker.version}"
          }
        },
        {
          "group": "com.google.errorprone",
          "module": "error_prone_annotations",

import java.util.AbstractCollection;
import java.util.Arrays;
import java.util.Collection;
import java.util.Iterator;
import org.checkerframework.checker.nullness.qual.NonNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * A simplistic collection which implements only the bare minimum allowed by the spec, and throws
 * exceptions whenever it can.
 *
 * @author Kevin Bourrillion
 */

여기서 `ge=1`인 경우, `item_id`는 `1`보다 "크거나(`g`reater) 같은(`e`qual)" 정수형 숫자여야 합니다.

```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!}
```

import com.google.errorprone.annotations.DoNotMock;
import java.util.Map;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.NonNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * A map, each entry of which maps a Java <a href="http://tinyurl.com/2cmwkz">raw type</a> to an

像下面这样，添加 `ge=1` 后，`item_id` 将必须是一个大于（`g`reater than）或等于（`e`qual）`1` 的整数。

```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!}
```

import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.List;
import java.util.Set;
import org.checkerframework.checker.nullness.qual.NonNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * A simplistic set which implements the bare minimum so that it can be used in tests without