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formalising-mathematics
Lean 3 material for Kevin Buzzard's 2021 TCC courrse on formalising mathematics. Lean 4 version available here: https://github.com/ImperialCollegeLondon/formalising-mathematics-2024
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formalising-mathematics-2022
Lean 3 material for Kevin Buzzard's Jan-Mar 2022 course on formalising mathematics. Lean 4 version available here: https://github.com/ImperialCollegeLondon/formalising-mathematics-2024
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Hard agree. As a followup from a related source, I highly suggest this repo. It's an 8 week series meant to be a followup on the natural number game, starting with basic logic, then going into groups, some basic analysis, and a number of other things. It's a great way to start to get a little more comfort with a bigger range of mathlib's library, and it's all still laid out in a way that's pretty easy to follow still while you do it. The only catch, unlike the natural number game, this one requires going through it directly in visual studio code, filling in the blanks basically. Slightly more setup than the natural number game, but well worth it if a person was still inclined to do more after finishing that intro.
There is also the https://github.com/blanchette/logical_verification_2021 with the accompanying course website https://lean-forward.github.io/logical-verification/2021/.
Professor Buzzard's current iteration of the course is continuing here in this 2022 repository. (And yes it's very very good).
For Coq, take a look at jsCoq and its scratchpad. It comes included with (among others) mathcomp, the library that was built to formalize the four color and odd order theorem. Coq also has a very beginner friendly IDE which also comes packaged with a bunch of additional libraries in the Coq Platform which works on Windows, Mac, and Linux.