When in high school I was intrigued by proofs in geometry and later trig.
As an experiment I tried to write proofs in J notation. Not too hard using
explicit notation by converting the "traditional" notation to J. And I have
seen where Ken verified steps of a proof by executing them with test data.

More fun to try to do it using tacit expressions. One toy I tried without
too much success is:
   (+*-) -: ((-&*:)
I wanted to do it without using any explicit expressions.

And once done, perhaps there is a way to automate the process - write a
script to do it. Has anyone else tried to do this?
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