cnat | Example Kubernetes controller : the cloud native at command

It is described here.

https://applitools.com/blog/automating-electron-applications-using-selenium/

You just need to set appropriate options and use same code for the chrome and electron.

Native client resources need to be registered in your tenant before your application can communicate with Azure Active Directory B2C.

1. Sign in to the Azure portal.
2. Select the Directory + subscription filter in the top menu, and then select the directory that contains your Azure AD B2C tenant.
3. In the left menu, select Azure AD B2C. Or, select All services and search for and select Azure AD B2C.
4. Select App registrations, and then select New registration.
5. Enter a Name for the application. For example, nativeapp1.
6. Under Supported account types, select Accounts in any organizational directory or any identity provider.
7. Click on Add a Platform. Select Mobile & Desktop Applications.
8. Enter a redirect URI with a unique scheme. For example, com.onmicrosoft.contosob2c.exampleapp://oauth/redirect. There are important considerations when choosing a redirect URI:
   • Development For development use, you can set the redirect URI to http://localhost and Azure AD B2C will respect any port in the request. If the registered URI contains a port, Azure AD B2C will use that port only. For example, if the registered redirect URI is http://localhost, the redirect URI in the request can be http://localhost:. If the registered redirect URI is http://localhost:8080, the redirect URI in the request must be http://localhost:8080.
   • Unique: The scheme of the redirect URI must be unique for every application. In the example com.onmicrosoft.contosob2c.exampleapp://oauth/redirect, com.onmicrosoft.contosob2c.exampleapp is the scheme. This pattern should be followed. If two applications share the same scheme, the user is given a choice to choose an application. If the user chooses incorrectly, the sign-in fails.
   • Complete: The redirect URI must have a both a scheme and a path. The path must contain at least one forward slash after the domain. For example, //oauth/ works while //oauth fails. Don't include special characters in the URI, for example, underscores.
9. Under Permissions, select the Grant admin consent to openid and offline_access permissions check box.
10. Select Register.

For more information, you can visit here.

(Using more standard notation, I hope that's still clear to you. CEq is ==, CLe is < (it should probably be named CLt))

First, before even delving into rewriting, let's make sure you logically have enough facts to prove the theorem.

You want to prove x < y, and you know y == z. For that you would want the following lemma, to change the goal to x < z:

This may be in part because your example is too simplified, but rewriting right-to-left with cdisc_add_neutral is problematic because the right-hand side x matches anything and can have any type.

The error you get is that Coq is trying to rewrite the whole goal with it, but that would use logical implication impl, which in turn requires that your relation CEq is a subrelation of impl.

You can avoid this by specializing the lemma a bit:

The first problem you have is that the term you want to rewrite is not well-typed:

You must show that your CNat is isomorphic with a subset of CReal and that the CNat operations are closed.

Here is an example that you may expand to your liking. I prove a simple lemma using the lra tactic that is used for reals.

I use coercions so that I don't have to insert the injection functions f and g everywhere manually. They are there, but in invisible ink. Do Set Printing Coercions. if you want to see them.

You need to specify content-type header, the below code works fine for me:

As far as I understand cnat is a function that takes a function f(x), it's argument x and returns it's value for this argument: f(x).

Note that cnat itself isn't a function. Instead, cnat is the type of all such functions. Also note that elements of cnat take X as an argument as well. It'll help to keep the definition of cnat in mind.