384 lines
11 KiB
TypeScript
384 lines
11 KiB
TypeScript
/**
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* Multi-way trees (aka rose trees) and forests, where a forest is
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*
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* ```ts
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* type Forest<A> = Array<Tree<A>>
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* ```
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*
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* @since 2.0.0
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*/
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import { Applicative1 } from './Applicative'
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import { Apply1 } from './Apply'
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import { Chain1 } from './Chain'
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import { Comonad1 } from './Comonad'
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import { Eq } from './Eq'
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import { Foldable1 } from './Foldable'
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import { Functor1 } from './Functor'
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import { HKT, Kind, Kind2, Kind3, Kind4, URIS, URIS2, URIS3, URIS4 } from './HKT'
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import { Monad as MonadHKT, Monad1, Monad2, Monad2C, Monad3, Monad3C, Monad4 } from './Monad'
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import { Monoid } from './Monoid'
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import { Pointed1 } from './Pointed'
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import { Predicate } from './Predicate'
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import { Show } from './Show'
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import { PipeableTraverse1, Traversable1 } from './Traversable'
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/**
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* @category model
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* @since 2.0.0
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*/
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export declare type Forest<A> = Array<Tree<A>>
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/**
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* @category model
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* @since 2.0.0
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*/
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export interface Tree<A> {
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readonly value: A
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readonly forest: Forest<A>
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}
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/**
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* @category constructors
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* @since 2.0.0
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*/
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export declare function make<A>(value: A, forest?: Forest<A>): Tree<A>
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/**
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* @category instances
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* @since 2.0.0
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*/
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export declare function getShow<A>(S: Show<A>): Show<Tree<A>>
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/**
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* @category instances
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* @since 2.0.0
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*/
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export declare function getEq<A>(E: Eq<A>): Eq<Tree<A>>
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/**
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* Neat 2-dimensional drawing of a forest
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*
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* @since 2.0.0
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*/
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export declare function drawForest(forest: Forest<string>): string
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/**
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* Neat 2-dimensional drawing of a tree
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*
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* @example
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* import { make, drawTree } from 'fp-ts/Tree'
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*
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* const fa = make('a', [
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* make('b'),
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* make('c'),
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* make('d', [make('e'), make('f')])
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* ])
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*
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* assert.strictEqual(drawTree(fa), `a
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* ├─ b
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* ├─ c
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* └─ d
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* ├─ e
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* └─ f`)
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*
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*
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* @since 2.0.0
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*/
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export declare function drawTree(tree: Tree<string>): string
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/**
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* Build a (possibly infinite) tree from a seed value in breadth-first order.
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*
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* @category constructors
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* @since 2.0.0
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*/
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export declare function unfoldTree<A, B>(b: B, f: (b: B) => [A, Array<B>]): Tree<A>
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/**
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* Build a (possibly infinite) forest from a list of seed values in breadth-first order.
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*
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* @category constructors
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* @since 2.0.0
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*/
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export declare function unfoldForest<A, B>(bs: Array<B>, f: (b: B) => [A, Array<B>]): Forest<A>
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/**
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* Monadic tree builder, in depth-first order
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*
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* @category constructors
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* @since 2.0.0
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*/
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export declare function unfoldTreeM<M extends URIS4>(
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M: Monad4<M>
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): <S, R, E, A, B>(b: B, f: (b: B) => Kind4<M, S, R, E, [A, Array<B>]>) => Kind4<M, S, R, E, Tree<A>>
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export declare function unfoldTreeM<M extends URIS3>(
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M: Monad3<M>
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): <R, E, A, B>(b: B, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Tree<A>>
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export declare function unfoldTreeM<M extends URIS3, E>(
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M: Monad3C<M, E>
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): <R, A, B>(b: B, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Tree<A>>
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export declare function unfoldTreeM<M extends URIS2>(
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M: Monad2<M>
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): <E, A, B>(b: B, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Tree<A>>
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export declare function unfoldTreeM<M extends URIS2, E>(
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M: Monad2C<M, E>
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): <A, B>(b: B, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Tree<A>>
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export declare function unfoldTreeM<M extends URIS>(
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M: Monad1<M>
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): <A, B>(b: B, f: (b: B) => Kind<M, [A, Array<B>]>) => Kind<M, Tree<A>>
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export declare function unfoldTreeM<M>(
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M: MonadHKT<M>
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): <A, B>(b: B, f: (b: B) => HKT<M, [A, Array<B>]>) => HKT<M, Tree<A>>
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/**
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* Monadic forest builder, in depth-first order
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*
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* @category constructors
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* @since 2.0.0
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*/
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export declare function unfoldForestM<M extends URIS4>(
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M: Monad4<M>
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): <S, R, E, A, B>(bs: Array<B>, f: (b: B) => Kind4<M, S, R, E, [A, Array<B>]>) => Kind4<M, S, R, E, Forest<A>>
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export declare function unfoldForestM<M extends URIS3>(
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M: Monad3<M>
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): <R, E, A, B>(bs: Array<B>, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Forest<A>>
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export declare function unfoldForestM<M extends URIS3, E>(
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M: Monad3C<M, E>
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): <R, A, B>(bs: Array<B>, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Forest<A>>
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export declare function unfoldForestM<M extends URIS2>(
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M: Monad2<M>
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): <R, E, B>(bs: Array<B>, f: (b: B) => Kind2<M, R, [E, Array<B>]>) => Kind2<M, R, Forest<E>>
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export declare function unfoldForestM<M extends URIS2, E>(
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M: Monad2C<M, E>
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): <A, B>(bs: Array<B>, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Forest<A>>
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export declare function unfoldForestM<M extends URIS>(
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M: Monad1<M>
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): <A, B>(bs: Array<B>, f: (b: B) => Kind<M, [A, Array<B>]>) => Kind<M, Forest<A>>
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export declare function unfoldForestM<M>(
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M: MonadHKT<M>
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): <A, B>(bs: Array<B>, f: (b: B) => HKT<M, [A, Array<B>]>) => HKT<M, Forest<A>>
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/**
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* Fold a tree into a "summary" value in depth-first order.
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*
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* For each node in the tree, apply `f` to the `value` and the result of applying `f` to each `forest`.
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*
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* This is also known as the catamorphism on trees.
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*
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* @example
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* import { fold, make } from 'fp-ts/Tree'
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* import { concatAll } from 'fp-ts/Monoid'
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* import { MonoidSum } from 'fp-ts/number'
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*
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* const t = make(1, [make(2), make(3)])
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*
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* const sum = concatAll(MonoidSum)
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*
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* // Sum the values in a tree:
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* assert.deepStrictEqual(fold((a: number, bs: Array<number>) => a + sum(bs))(t), 6)
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*
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* // Find the maximum value in the tree:
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* assert.deepStrictEqual(fold((a: number, bs: Array<number>) => bs.reduce((b, acc) => Math.max(b, acc), a))(t), 3)
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*
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* // Count the number of leaves in the tree:
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* assert.deepStrictEqual(fold((_: number, bs: Array<number>) => (bs.length === 0 ? 1 : sum(bs)))(t), 2)
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*
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* @category folding
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* @since 2.6.0
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*/
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export declare function fold<A, B>(f: (a: A, bs: Array<B>) => B): (tree: Tree<A>) => B
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/**
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* @since 2.0.0
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*/
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export declare const ap: <A>(fa: Tree<A>) => <B>(fab: Tree<(a: A) => B>) => Tree<B>
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/**
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* Composes computations in sequence, using the return value of one computation to determine the next computation.
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*
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* @category Monad
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* @since 2.0.0
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*/
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export declare const chain: <A, B>(f: (a: A) => Tree<B>) => (ma: Tree<A>) => Tree<B>
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/**
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* @since 2.0.0
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*/
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export declare const extend: <A, B>(f: (wa: Tree<A>) => B) => (wa: Tree<A>) => Tree<B>
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/**
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* @since 2.0.0
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*/
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export declare const duplicate: <A>(wa: Tree<A>) => Tree<Tree<A>>
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/**
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* @category sequencing
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* @since 2.0.0
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*/
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export declare const flatten: <A>(mma: Tree<Tree<A>>) => Tree<A>
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/**
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* `map` can be used to turn functions `(a: A) => B` into functions `(fa: F<A>) => F<B>` whose argument and return types
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* use the type constructor `F` to represent some computational context.
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*
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* @category mapping
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* @since 2.0.0
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*/
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export declare const map: <A, B>(f: (a: A) => B) => (fa: Tree<A>) => Tree<B>
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/**
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* @category folding
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* @since 2.0.0
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*/
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export declare const reduce: <A, B>(b: B, f: (b: B, a: A) => B) => (fa: Tree<A>) => B
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/**
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* @category folding
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* @since 2.0.0
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*/
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export declare const foldMap: <M>(M: Monoid<M>) => <A>(f: (a: A) => M) => (fa: Tree<A>) => M
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/**
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* @category folding
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* @since 2.0.0
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*/
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export declare const reduceRight: <A, B>(b: B, f: (a: A, b: B) => B) => (fa: Tree<A>) => B
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/**
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* @category Extract
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* @since 2.6.2
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*/
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export declare const extract: <A>(wa: Tree<A>) => A
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/**
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* @category traversing
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* @since 2.6.3
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*/
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export declare const traverse: PipeableTraverse1<URI>
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/**
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* @category traversing
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* @since 2.6.3
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*/
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export declare const sequence: Traversable1<URI>['sequence']
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/**
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* @category constructors
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* @since 2.7.0
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*/
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export declare const of: <A>(a: A) => Tree<A>
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/**
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* @category type lambdas
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* @since 2.0.0
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*/
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export declare const URI = 'Tree'
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/**
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* @category type lambdas
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* @since 2.0.0
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*/
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export declare type URI = typeof URI
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declare module './HKT' {
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interface URItoKind<A> {
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readonly [URI]: Tree<A>
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}
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}
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Functor: Functor1<URI>
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/**
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* @category mapping
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* @since 2.10.0
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*/
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export declare const flap: <A>(a: A) => <B>(fab: Tree<(a: A) => B>) => Tree<B>
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/**
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* @category instances
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* @since 2.10.0
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*/
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export declare const Pointed: Pointed1<URI>
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/**
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* @category instances
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* @since 2.10.0
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*/
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export declare const Apply: Apply1<URI>
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/**
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* Combine two effectful actions, keeping only the result of the first.
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*
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* @since 2.0.0
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*/
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export declare const apFirst: <B>(second: Tree<B>) => <A>(first: Tree<A>) => Tree<A>
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/**
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* Combine two effectful actions, keeping only the result of the second.
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*
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* @since 2.0.0
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*/
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export declare const apSecond: <B>(second: Tree<B>) => <A>(first: Tree<A>) => Tree<B>
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Applicative: Applicative1<URI>
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/**
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* @category instances
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* @since 2.10.0
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*/
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export declare const Chain: Chain1<URI>
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Monad: Monad1<URI>
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/**
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* Composes computations in sequence, using the return value of one computation to determine the next computation and
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* keeping only the result of the first.
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*
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* @since 2.0.0
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*/
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export declare const chainFirst: <A, B>(f: (a: A) => Tree<B>) => (first: Tree<A>) => Tree<A>
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Foldable: Foldable1<URI>
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Traversable: Traversable1<URI>
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/**
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* @category instances
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* @since 2.7.0
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*/
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export declare const Comonad: Comonad1<URI>
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/**
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* @category do notation
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* @since 2.9.0
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*/
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export declare const Do: Tree<{}>
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/**
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* @category do notation
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* @since 2.8.0
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*/
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export declare const bindTo: <N extends string>(name: N) => <A>(fa: Tree<A>) => Tree<{ readonly [K in N]: A }>
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declare const let_: <N extends string, A, B>(
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name: Exclude<N, keyof A>,
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f: (a: A) => B
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) => (fa: Tree<A>) => Tree<{ readonly [K in N | keyof A]: K extends keyof A ? A[K] : B }>
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export {
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/**
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* @category do notation
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* @since 2.13.0
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*/
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let_ as let
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}
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/**
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* @category do notation
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* @since 2.8.0
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*/
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export declare const bind: <N extends string, A, B>(
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name: Exclude<N, keyof A>,
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f: (a: A) => Tree<B>
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) => (ma: Tree<A>) => Tree<{ readonly [K in N | keyof A]: K extends keyof A ? A[K] : B }>
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/**
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* @category do notation
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* @since 2.8.0
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*/
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export declare const apS: <N extends string, A, B>(
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name: Exclude<N, keyof A>,
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fb: Tree<B>
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) => (fa: Tree<A>) => Tree<{ readonly [K in N | keyof A]: K extends keyof A ? A[K] : B }>
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/**
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* @since 2.0.0
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*/
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export declare function elem<A>(E: Eq<A>): (a: A, fa: Tree<A>) => boolean
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/**
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* @since 2.11.0
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*/
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export declare const exists: <A>(predicate: Predicate<A>) => (ma: Tree<A>) => boolean
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/**
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* This instance is deprecated, use small, specific instances instead.
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* For example if a function needs a `Functor` instance, pass `T.Functor` instead of `T.tree`
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* (where `T` is from `import T from 'fp-ts/Tree'`)
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*
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* @category zone of death
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* @since 2.0.0
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* @deprecated
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*/
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export declare const tree: Monad1<URI> & Foldable1<URI> & Traversable1<URI> & Comonad1<URI>
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