74 karma · joined September 14, 2024
≠ ethical
I'm not aware of any of these. There's some SAT-like results that were not verified in Lean at that sort of scale, but Lean proofs of individual problems are nowhere near that. For example, Mathlib (think a Lean4 math stdlib) is 6GB including compilation artifacts, and iirc <100MB text.
Languages like Lean allow you to write programs and proofs under the same umbrella.
But as someone who bought an OG Pebble and now has a Vivoactive 3, I think the fitness features are too nice to switch back fully to Pebble. Although I'll be very glad to see Pebble back!
Lean is too inflexible for this, in my opinion. Maybe I'm not dreaming big enough, but I think there'll have to be one more big idea to make this possible; I think the typeclass inference systems we use these days are a severe bottleneck, for one, and I think it's very, very tedious to state some things in Lean (my go-to example is the finite-dimensionality of modular forms of level 1 - the contour integral is a bitch and has a lot of technicalities)