import { Exp, ExpMeta } from "../../exp";
import { Core } from "../../core";
import { Ctx } from "../../ctx";
import { Value } from "../../value";
export declare class NatInd extends Exp {
    meta: ExpMeta;
    target: Exp;
    motive: Exp;
    base: Exp;
    step: Exp;
    constructor(target: Exp, motive: Exp, base: Exp, step: Exp, meta: ExpMeta);
    free_names(bound_names: Set<string>): Set<string>;
    subst(name: string, exp: Exp): Exp;
    infer(ctx: Ctx): {
        t: Value;
        core: Core;
    };
    repr(): string;
}
export declare const nat_ind_motive_t: Value;
export declare function nat_ind_step_t(motive: Value): Value;