import type { Monoid } from "@principia/prelude/Monoid";
import type { Tree } from "./model";
export declare const reduce_: <A, B>(fa: Tree<A>, b: B, f: (b: B, a: A) => B) => B;
export declare const reduce: <A, B>(b: B, f: (b: B, a: A) => B) => (fa: Tree<A>) => B;
export declare const reduceRight_: <A, B>(fa: Tree<A>, b: B, f: (a: A, b: B) => B) => B;
export declare const reduceRight: <A, B>(b: B, f: (a: A, b: B) => B) => (fa: Tree<A>) => B;
export declare const foldMap_: <M>(M: Monoid<M>) => <A>(fa: Tree<A>, f: (a: A) => M) => M;
export declare const foldMap: <M>(M: Monoid<M>) => <A>(f: (a: A) => M) => (fa: Tree<A>) => M;
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