Missing doc for history property on router and RouterProvider in API Components

[GYHHAHA]

I didn't have any experience with React Router before learning TanStack Router, and when I found router.history.push(search.redirect) from here, it was confusing for:

• I didn't find there is a history property which can be access from Router Class (but available from RouterOptions)
• I hope there is a section to show what history.push do, which might be useful for those who lack of React Router exp, and its difference with history.replace (if there is a replace method available from the history object because I also didn't find there was a doc to describe the history structure)

Another point is RouterProvider is not showed in API Components section, but it's widely used in the doc guides. Since many util-components like Outlet and Await are documented in API, I wondering is there a specific reason to omit RouterProvider?

[SeanCassiere]

The <RouterProvider /> accepts all the same options as RouterOptions + the Router instance.

These are the type for RouterHistory. TSR's history package, uses pretty much all of the same browser standards stuff with some optimizations specific to the library.