They can all write lean4 now, don't accept numbers that don't carry proofs. The CAS I use for builds has a coeffect discharge cert in the attestation header, couple lines of code. Graded monads are a snap in CIC.

> a session with Gemini 2.5 Pro (without Code Execution tools)

How good are you at programming on a whiteboard? How good is anybody? With code execution tools withheld from me, I'll freely admit that I'm pretty shit at programming. Hell, I barely remember the syntax in some of the more esoteric, unpracticed places of my knowledge. Thus, it's hard not to see case studies like this as dunking on a blindfolded free throw shooter, and calling it analysis.