Lambda the Ultimate

In this post, I try to show something you can do with Terms but (I think) not easily (idiomatically) with other logic systems. I know there is people in this forum that know a lot more about "other logic systems" than myself, and that with a cursory glance at what I propose would be able to judge whether what I propose is bullsht or is useful. So in all humility I would appreciate any judgement about it.

Thanks.