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# C# Greater Than

The `>` (greater than) operator is a binary relational operator that evaluates whether its left-hand operand is strictly greater in value than its right-hand operand. It returns a `bool` value: `true` if the left operand is greater, and `false` otherwise.

```csharp theme={"dark"}
bool result = leftOperand > rightOperand;
```

## Supported Built-in Types

The C# compiler provides built-in implementations of the `>` operator for the following types:

* **Numeric Types:** All integral (`sbyte`, `byte`, `short`, `ushort`, `int`, `uint`, `long`, `ulong`, `nint`, `nuint`) and floating-point (`float`, `double`, `decimal`) types.
* **Characters:** When applied to `char` operands, the operator compares their underlying 16-bit Unicode integer values.
* **Enumerations:** When applied to `enum` types, the operator compares the underlying integral values of the enumeration members.

## Floating-Point `NaN` Behavior

When comparing floating-point types (`float` or `double`), if either the left operand, the right operand, or both evaluate to `NaN` (Not a Number), the `>` operator strictly returns `false`.

```csharp theme={"dark"}
double x = double.NaN;
double y = 5.0;
bool result = x > y; // Evaluates to false
```

## Operator Precedence and Associativity

* **Precedence:** The `>` operator falls into the relational and type-testing operators category. It is evaluated *after* arithmetic operators (`+`, `-`, `*`, `/`) and shift operators (`<<`, `>>`), but *before* equality operators (`==`, `!=`) and logical operators (`&&`, `||`).
* **Associativity:** It evaluates from left to right.

## Operator Overloading

User-defined types (`class`, `struct`, or `record`) can overload the `>` operator to define custom comparison logic.

By C# language design rules, the `>` and `<` operators are a matched pair. If a type overloads the `>` operator, it **must** also explicitly overload the `<` (less than) operator.

```csharp theme={"dark"}
public readonly struct Measurement
{
    public double Value { get; }

    public Measurement(double value) => Value = value;

    // Overloading the > operator
    public static bool operator >(Measurement left, Measurement right)
    {
        return left.Value > right.Value;
    }

    // The < operator must also be overloaded
    public static bool operator <(Measurement left, Measurement right)
    {
        return left.Value < right.Value;
    }
}
```

## Lifted Operators for Nullable Types

For nullable value types (`T?`), the `>` operator is "lifted." If either or both operands are `null`, the `>` operator evaluates to `false`. If both operands have values, it unwraps them and applies the underlying `>` operator of type `T`.

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