In the react documentation I found this way to import PureRenderMixin
var PureRenderMixin = require(\'react/addons\').addons.PureRenderMixin;
Unfortunately import statements does not work like object destructuring. Curly braces here mean that you want to import token with this name but not property of default export. Look at this pairs of import/export:
//module.js
export default 'A';
export var B = 'B';
//script.js
import A from './a.js'; //import value on default export
import {B} from './a.js'; // import value by its name
console.log(A, B); // 'A', 'B'
For your case you can import whole object and make a destructuring assignment
import addons from "react/addons";
let {addons: {PureRenderMixin}} = addons;
import PureRenderMixin from 'react-addons-pure-render-mixin';
See example here.