Why isn't Magento 2 recognizing my library in requirejs-config.js?

This is Library location

app\design\frontend\user\theme\web\js\owl.carousel.min.js

this is my config js file

app\design\frontend\user\theme\requirejs-config.js

var config = {
deps: [
    "js/main"
],

map: {
    '*': {
        owlCarousel:'js/owl.carousel.min'
    }
},

shim: {
    jquery: {
        exports: '$'
    },

    'Magento_Catalog/js/price-box':
        {
            deps: ['jquery']
        },

    owlCarousel: ["jquery"]
}

};

Inside

app\design\frontend\user\theme\web\js\main.js

define([
"jquery",
"owlCarousel"
], 

function($) {
"use strict";

if(typeof owlCarousel === 'function') { 
  console.log('owlCarousel is loaded');
}else{
  console.log('owlCarousel is NOT loaded');
}

});

Inside phtml

require(['jquery', 'owlCarousel'],function($, owlCarousel){
    jQuery(document).ready(function() {
        jQuery('.owl-carousel').owlCarousel({
            margin:10,
            nav:true,
            mouseDrag:false,
            navText : ["",""],
            rewindNav : true,
            responsive:{
                0:{
                    items:3
                },
                600:{
                    items:3
                },
                1000:{
                    items:3
                }
            }
        });
    });
});

Result

owlCarousel is NOT loaded

(index):1175 Uncaught TypeError: jQuery(...).owlCarousel is not a function