/**
 * Uses a bitwise _and_ operation to update a field.
 * Alias for `$bit().$and()`.
 * @see https://www.mongodb.com/docs/manual/reference/operator/update/bit/#bitwise-and
 */
export declare const $and: <T>(value: T) => import("./operator").Operator;
/**
 * Uses a bitwise `or` operation to update a field.
 * Alias for `$bit().$or()`.
 * @see https://www.mongodb.com/docs/manual/reference/operator/update/bit/#bitwise-or
 */
export declare const $or: <T>(value: T) => import("./operator").Operator;
/**
 * Uses a bitwise `xor` operation to update a field.
 * Alias for `$bit().$xor()`.
 * @see https://www.mongodb.com/docs/manual/reference/operator/update/bit/#bitwise-xor
 */
export declare const $xor: <T>(value: T) => import("./operator").Operator;
/**
 * Performs a bitwise update of a field.
 * Should be chained with a logical operator.
 * @see https://docs.mongodb.com/manual/reference/operator/update/#bitwise
 *
 * @example
 * ```ts
 * flatten({ permissions: $bit().$and(4) });
 * // same as:
 * flatten({ permissions: $and(4) })
 * ```
 */
export declare const $bit: () => {
    $and: <T>(value: T) => import("./operator").Operator;
    $or: <T_1>(value: T_1) => import("./operator").Operator;
    $xor: <T_2>(value: T_2) => import("./operator").Operator;
};