And you can also declare numeric validations:

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

/// info

`Query`, `Path`, and other classes you will see later are subclasses of a common `Param` class.

import com.google.common.annotations.GwtCompatible;
import java.io.Serializable;
import java.util.Comparator;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/** An ordering for a pre-existing comparator. */
@GwtCompatible(serializable = true)
@ElementTypesAreNonnullByDefault
final class ComparatorOrdering<T extends @Nullable Object> extends Ordering<T>

só
pelo
pela
até
isso
ela
entre
depois
sem
mesmo
aos
seus
quem
nas
me
esse
eles
você
essa
num
nem
suas
meu
às
minha
numa
pelos
elas
qual
nós
lhe
deles
essas
esses
pelas
este
dele
tu
te
vocês
vos
lhes
meus
minhas
teu
tua
teus
tuas
nosso
nossa
nossos
nossas
dela
delas
esta

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!}
```

package com.google.common.collect;

import com.google.common.annotations.GwtCompatible;
import java.io.Serializable;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.NonNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/** An ordering that treats {@code null} as less than all other values. */
@GwtCompatible(serializable = true)
@ElementTypesAreNonnullByDefault

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 com.google.common.annotations.GwtCompatible;
import com.google.common.base.Objects;
import java.util.Map.Entry;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * Implementation of the {@code equals}, {@code hashCode}, and {@code toString} methods of {@code
 * Entry}.
 *
 * @author Jared Levy
 */
@GwtCompatible
@ElementTypesAreNonnullByDefault

 */

package com.google.common.collect.testing;

import com.google.common.annotations.GwtCompatible;
import java.util.Map.Entry;
import java.util.SortedMap;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * Creates sorted maps, containing sample elements, to be tested.
 *
 * @author Louis Wasserman
 */
@GwtCompatible
@ElementTypesAreNonnullByDefault

import com.google.common.annotations.GwtCompatible;
import com.google.common.base.Objects;
import java.util.Map.Entry;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * Implementation of the {@code equals}, {@code hashCode}, and {@code toString} methods of {@code
 * Entry}.
 *
 * @author Jared Levy
 */
@GwtCompatible
@ElementTypesAreNonnullByDefault

import static com.google.common.base.Preconditions.checkNotNull;

import com.google.common.annotations.GwtCompatible;
import java.io.Serializable;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * Equivalence applied on functional result.
 *
 * @author Bob Lee
 * @since 10.0
 */
@GwtCompatible
@ElementTypesAreNonnullByDefault