TypeScript Lens implementation with object property proxy

lens.ts

/*
 * TypeScript Lens implementation with object property proxy
 *
 * ref:
 *
 * - Haskell Lens (https://hackage.haskell.org/package/lens)
 * - Type-safe Lens by @mitaki28 (https://gist.github.com/mitaki28/ad39a69ab4fa73c99a822c0c3abc99dd)
 *
 */

class LensInternal<T, U> {
    constructor(
        public __get: (from: T) => U,
        public __set: (val: U) => (from: T) => T,
    ) { }

    _<V>(other: Lens<U, V>): Lens<T, V> {
        return lens(
            (x: T) => other.__get(this.__get(x)),
            (x: V) => (o: T) => this.__set(other.__set(x)(this.__get(o)))(o),
        );
    }
}

type Lens<T, U> = {
    readonly [K in keyof U]: Lens<T, U[K]>;
} & LensInternal<T, U>;

function lens<T, U>(
    __get: (from: T) => U,
    __set: (val: U) => (from: T) => T,
): Lens<T, U> {
    return new Proxy(new LensInternal(__get, __set), {
        get(lens: Lens<T, U>, k: keyof Lens<T, U>) {
            return k in lens ? lens[k] : lens._(key<U>()(k as keyof U));
        }
    }) as Lens<T, U>;
}

function id<T>(): Lens<T, T> {
    return lens(
        x => x,
        x => _ => x,
    );
}

function key<T>(): <K extends keyof T>(k: K) => Lens<T, T[K]> {
    return k => lens(
        o => o[k],
        x => o => Object.assign(o, { [k]: x }),
    );
}

function getl<T, U>(lens: Lens<T, U>, target: T): U {
    return lens.__get(target);
}

function setl<T, U>(lens: Lens<T, U>, val: U, target: T): T {
    return lens.__set(val)(target);
}

lens_example.ts

/*
 * Example code
 */

type Person = {
    name: string,
    age: number,
    accounts: Accounts,
};

type Accounts = {
    twitter?: string,
    facebook?: string,
};

const azusa: Person = {
    name: 'Azusa',
    age: 15,
    accounts: {
        twitter: '@azusa',
    },
};

// property lenses are created dynamically with Proxy
const twitterLens = id<Person>().accounts.twitter;

console.log(getl(twitterLens, azusa)); // -> '@azusa'

setl(twitterLens, '@nakano', azusa);

console.log(getl(
    id<Person>().accounts
        // ._() can be used to compose lenses
        ._(key<Accounts>()('twitter')),
    azusa,
)); // -> '@nakano'

lens_type_errors.ts

/*
 * Type errors
 */

type Person = {
    name: string,
    age: number,
    accounts: Accounts,
};

type Accounts = {
    twitter?: string,
    facebook?: string,
};

// all the following lines result in type errors
id<Person>().foo;
id<Person>()._(key<Person>()('foo'));
id<Person>()._(key<Person>()('accounts'))._(key<Accounts>()('foo'));

Implemented as a package lens.ts