The following code hides the definition of f(x) while allowing its use in 
the interact input box.

===================================
<HTML>
<HEAD>
<script 
src="https://sagecell.sagemath.org/static/embedded_sagecell.js";></script>
<script>sagecell.makeSagecell({inputLocation: '.sage',
                                template: sagecell.templates.minimal,
                                autoeval:true,
                                hide: ["evalButton"],
                               });</script>
</HEAD>

<BODY>
<div class="sage">
<script type="text/x-sage">
def f(x):
   return x^2
@interact 
def _(userinput=input_box(default="print(f(5))", label='', height=5), 
auto_update=false): 
    exec(preparse(userinput))
</script>
</div>
</BODY>
</HTML>
====================================

1) It would be nice to have this incorporated into the native sagecell 
code.  In particular,
having a template sagecell.templates.hidden, and having the interact 
commands automatically appended would make this easier to use for those 
newly encountering sage cells.  I'm guessing that some combination of the 
sagecell code and the interact input_box code could accomplish all this.  I 
don't know enough about either to suggest how, but I'm happy to help where 
I can.

2) IMHO, having everything in a single html file makes customization easier 
(vs having to load code from github.)


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