import { Arity1, Is } from '@typed/lambda';
/**
 * Check if two values have value-equality.
 * @param a :: a
 * @param b :: a
 * @returns :: boolean
 */
export declare const equals: Equals;
export declare type Equals = {
    <A>(a: A, b: unknown): b is A;
    <A>(a: A): Is<A>;
};
export declare const equalsBy: {
    <A, B>(by: Arity1<A, B>, a: A, b: A): boolean;
    <A, B>(by: Arity1<A, B>, a: A): (b: A) => boolean;
    <A, B>(by: Arity1<A, B>): {
        (a: A, b: A): boolean;
        (a: A): (b: A) => boolean;
    };
};
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