One of the best overviews of how object-rest-spread syntax works with react is published at reactpatterns.com:
JSX spread attributes
Spread Attributes is a JSX feature. It's syntactic sugar for passing all of an object's properties as JSX attributes.
These two examples are equivalent.
// props written as attributes
<main className="main" role="main">{children}</main>
// props "spread" from object
<main {...{className: "main", role: "main", children}} />
Use this to forward props to underlying components.
const FancyDiv = props =>
  <div className="fancy" {...props} />
Now, I can expect FancyDiv to add the attributes it's concerned with as well as those it's not.
<FancyDiv data-id="my-fancy-div">So Fancy</FancyDiv>
// output: <div className="fancy" data-id="my-fancy-div">So Fancy</div>
Keep in mind that order matters. If props.className is defined, it'll clobber the className defined by FancyDiv
<FancyDiv className="my-fancy-div" />
// output: <div className="my-fancy-div"></div>
We can make FancyDivs className always "win" by placing it after the spread props ({...props}).
// my `className` clobbers your `className`
const FancyDiv = props =>
  <div {...props} className="fancy" />
You should handle these types of props gracefully. In this case, I'll merge the author's props.className with the className needed to style my component.
const FancyDiv = ({ className, ...props }) =>
  <div
    className={["fancy", className].join(' ')}
    {...props}
  />
-- quoted from reactpatterns.com by @chantastic
Another good overview was published on the babeljs blog post React on ES6+ by Steven Luscher:
Destructuring & spread attributes
Often when composing components, we might want to pass down most of a parent component’s props to a child component, but not all of them. In combining ES6+ destructuring with JSX spread attributes, this becomes possible without ceremony:
class AutoloadingPostsGrid extends React.Component {
  render() {
    const {
      className,
      ...others  // contains all properties of this.props except for className
    } = this.props;
    return (
      <div className={className}>
        <PostsGrid {...others} />
        <button onClick={this.handleLoadMoreClick}>Load more</button>
      </div>
    );
  }
}
-- quoted from "BabelJS.org blog - React on ES6+" by Steven Luscher