How do I cloudform an API gateway resource with a lambda proxy integration
<p>I've been trying to work out how to express (in cloudformation) an API Gateway Resource that has a Lambda function integration type using the Lambda Proxy integration.</p>

<p>This is easy to do in the AWS console as there is a check box that you can select: 
<a href="https://i.stack.imgur.com/AkELO.png" rel="noreferrer"><img src="https://i.stack.imgur.com/AkELO.png" alt="API gateway console showing the Use Lambda Proxy Integration checkbox"></a></p>

<p>However there is no corresponding field in the AWS::ApiGateway::Method CloudFormation resource (it should be in the <a href="http://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/aws-properties-apitgateway-method-integration.html" rel="noreferrer">Integration property</a>).</p>

<p>How can I configure this in cloudformation?</p>