How to use Redux's Provider with React

I've been following the ReduxJS documentation here: Usage with React

At the end of the document it mentions usage of the provider object, I have wrapped my App component in the provider like so:

import React from 'react'
import ReactDOM from 'react-dom'
import { createStore } from 'redux'
import { Provider } from 'react-redux'
import RootReducer from './app/reducers'
import App from './app/app'

const store = createStore(RootReducer)

ReactDOM.render(
  <Provider store={store}>
    <App />
  </Provider>,
  document.getElementById('root')
)

However, that's where the documentation ends. How do I pickup the store provided by provider within the components?