Is it valid to have a html form inside another html form?

Question

Is it valid html to have the following:

Answer 1

A non-JavaScript workaround for nesting form tags:

Because you allow for

all fields minus those within "b".

when submitting "a", the following would work, using regular web-forms without fancy JavaScript tricks:

Step 1. Put each form on its own web page.

Step 2. Insert an iframe wherever you want this sub-form to appear.

Step 3. Profit.

I tried to use a code-playground website to show a demo, but many of them prohibit embedding their websites in iframes, even within their own domain.