/**
 * Natural branded newtype.
 *
 * Represents integers:
 *
 * ```math
 *  { z | z ∈ ℤ, z >= 0, z <= 2 ** 53 - 1 }
 * ```
 *
 * @since 0.0.1
 */
import * as Enc from 'io-ts/Encoder';
import { Kind, Kind2, URIS, URIS2, HKT2 } from 'fp-ts/HKT';
import * as D from 'io-ts/Decoder';
import * as Eq_ from 'fp-ts/Eq';
import * as G from 'io-ts/Guard';
import * as TD from 'io-ts/TaskDecoder';
import * as t from 'io-ts/Type';
import * as Arb from '../internal/ArbitraryBase';
/**
 * Natural branded newtype.
 *
 * Represents integers:
 *
 * ```math
 *  { z | z ∈ ℤ, z >= 0, z <= 2 ** 53 - 1 }
 * ```
 *
 * @since 0.0.1
 * @category Model
 */
export declare type Natural = number & NaturalBrand;
/**
 * @since 0.0.1
 * @category Model
 */
export declare type SchemableParams<S> = HKT2<S, number, Natural>;
/**
 * @since 0.0.1
 * @category Model
 */
export declare type SchemableParams1<S extends URIS> = Kind<S, Natural>;
/**
 * @since 0.0.3
 * @category Model
 */
export declare type SchemableParams2<S extends URIS2> = Kind2<S, number, Natural>;
/**
 * @since 0.0.1
 * @category Model
 */
export declare type SchemableParams2C<S extends URIS2> = Kind2<S, unknown, Natural>;
/**
 * @since 0.0.1
 * @category Refinements
 */
export declare function isNatural(n: number): n is Natural;
/**
 * @since 0.0.1
 * @category Instances
 */
export declare const Decoder: SchemableParams2C<D.URI>;
/**
 * @since 0.0.1
 * @category Instances
 */
export declare const Eq: SchemableParams1<Eq_.URI>;
/**
 * @since 0.0.1
 * @category Instances
 */
export declare const Guard: SchemableParams1<G.URI>;
/**
 * @since 0.0.1
 * @category Instances
 */
export declare const TaskDecoder: SchemableParams2C<TD.URI>;
/**
 * @since 0.0.1
 * @category Instances
 */
export declare const Type: SchemableParams1<t.URI>;
/**
 * @since 0.0.3
 * @category Instances
 */
export declare const Encoder: SchemableParams2<Enc.URI>;
/**
 * @since 0.0.3
 * @category Instances
 */
export declare const Arbitrary: SchemableParams1<Arb.URI>;
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