/**
 * @module equivalence Helpers for dealing with equality.
 */
import { Equivalence as EQ } from 'effect';
import type { Kind, TypeLambda } from 'effect/HKT';
/**
 * The type of a function that given any equivalence of type `A`, returns an
 * equivalence for `F<A>`. For example:
 * @category lifting
 */
export interface LiftEquivalence<F extends TypeLambda, R = never, O = unknown, E = unknown> {
    <T>(equals: EQ.Equivalence<T>): EQ.Equivalence<Kind<F, R, O, E, T>>;
}
/**
 * Given a {@link LiftEquivalence} function, and 1..n `Equivalence`s for
 * different types `A₁, A₂, ...Aₙ`, returns the given list except every
 * equivalence for type `Aᵢ` has been replaced by an equivalence for type
 * `Kind<F, R, O, E, Aᵢ>`. For example:
 * @example
 * import {liftEquivalences} from 'effect-ts-laws'
 * import {Number as NU, Option as OP, String as STR} from 'effect'
 * import {OptionTypeLambda} from 'effect/Option'
 *
 * export const [eqOptionNumber, eqOptionString] =
 *   liftEquivalences<OptionTypeLambda>(OP.getEquivalence)(
 *     NU.Equivalence,
 *     STR.Equivalence,
 *   )
 * // eqOptionNumber ≡ Equivalence<Option<number>>
 * // eqOptionString ≡ Equivalence<Option<string>>
 *
 * assert.ok(eqOptionNumber(OP.some(1), OP.some(1)))
 * assert.equal(eqOptionNumber(OP.some(1), OP.some(2)), false)
 *
 * assert.ok(eqOptionString(OP.some('a'), OP.some('a')))
 * assert.equal(eqOptionString(OP.some('a'), OP.some('b')), false)
 * @category lifting
 */
export declare const liftEquivalences: <F extends TypeLambda, R = never, O = unknown, E = unknown>(liftEquivalence: LiftEquivalence<F, R, O, E>) => <const Eqs extends EQ.Equivalence<never>[]>(...eqs: Eqs) => LiftedEquivalences<Eqs, F, R, O, E>;
/**
 * Given the tuple of equalities for types `A₁, A₂, ...Aₙ`, returns the tuple of
 * equalities for types `F<A₁>, F<A₂>, ...F<Aₙ>`.
 * @category lifting
 */
export type LiftedEquivalences<Eqs extends EQ.Equivalence<never>[], F extends TypeLambda, R, O, E> = {
    [K in keyof Eqs]: EQ.Equivalence<Kind<F, R, O, E, Eqs[K] extends EQ.Equivalence<infer T> ? T : never>>;
};
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