import type * as P from "@principia/prelude";
import * as TC from "@principia/prelude";
import type { URI, V } from "./model";
/**
 * ```haskell
 * traverseWithIndex_ :: (Applicative g, TraversableWithIndex t, Index k) =>
 *    g
 *    -> (t a, ((k, a) -> g b))
 *    -> g (t b)
 * ```
 *
 * @category TraversableWithIndex
 * @since 1.0.0
 */
export declare const traverseWithIndex_: TC.TraverseWithIndexFn_<[URI], V>;
/**
 * ```haskell
 * traverseWithIndex :: (Applicative g, TraversableWithIndex t, Index k) =>
 *    g
 *    -> ((k, a) -> g b)
 *    -> t a
 *    -> g (t b)
 * ```
 *
 * @category TraversableWithIndex
 * @since 1.0.0
 */
export declare const traverseWithIndex: TC.TraverseWithIndexFn<[URI], V>;
/**
 * ```haskell
 * traverse_ :: (Applicative g, Traversable t) =>
 *    g
 *    -> (t a, (a -> g b))
 *    -> g (t b)
 * ```
 *
 * Map each element of a structure to an action, evaluate these actions from left to right, and collect the results
 *
 * @category Traversable
 * @since 1.0.0
 */
export declare const traverse_: TC.TraverseFn_<[URI], V>;
/**
 * ```haskell
 * traverse :: (Applicative g, Traversable t) =>
 *    g
 *    -> (a -> g b)
 *    -> t a
 *    -> g (t b)
 * ```
 *
 * Map each element of a structure to an action, evaluate these actions from left to right, and collect the results
 *
 * @category Traversable
 * @since 1.0.0
 */
export declare const traverse: TC.TraverseFn<[URI], V>;
/**
 * ```haskell
 * sequence :: (Applicative g, Traversable t) => g -> t a -> g (t a)
 * ```
 *
 * Evaluate each action in the structure from left to right, and collect the results.
 *
 * @category Traversable
 * @since 1.0.0
 */
export declare const sequence: TC.SequenceFn<[URI], V>;
export declare const Traversable: P.Traversable<[URI], V>;
export declare const TraversableWithIndex: P.TraversableWithIndex<[URI], V>;
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