Let's use Occam razor. Why on earth anybody would be interested in Metamath 
> which is even more obscure than Coq or Lean? 
>

I just came across a recent presentation by Philip Wadler. The man behind 
Haskell and the monads. 

https://www.college-de-france.fr/site/xavier-leroy/seminar-2019-12-12-11h15.htm

He doesn't seem to appreciate Coq as a system  for teaching logic. Here he 
uses Agda to teach simply typed lambda calculus  
(terms evaluation, extrinsic and intrinsic typing ...)

The book he is using is:

https://plfa.github.io/

Metamath has a formalization of simply typed lambda calculus  by Mario 
Carneiro. 

http://us.metamath.org/holuni/mmhol.html

You can use Philip Wadler's book to catch what it is all about before 
delving into Carneiro's code.

-- 
FL

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