On Fri Aug 29, 2025 at 4:49 PM KST, 'Bulhwi Cha' via Metamath wrote:
> I think they're variables in MM0, but usually there will be exactly
> one FOL variable corresponding to each first order variable in the MM0
> theorem.

I forgot to end the above sentence with the phrase "up to alpha
renaming."

The CS graduate student had said:
> One should be able to instantiate variables in the metalogic by
> variables in the object logic. However, expressions can't be
> substituted directly for first order variables, so it's impossible to
> instantiate these variables by variables in the object logic.
>
> It appears that first order variables in Metamath Zero are variables
> in the object logic, not in the metalogic.

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