The mechanization of science illustrated by the Lean formalization of the multi-graded Proj construction

This work advances mechanized mathematics by providing a formalized framework for algebraic geometry, though it is incremental as it applies existing formalization methods to a specific domain.

The authors tackled the challenge of formalizing complex mathematical constructions by implementing the multi-graded Proj construction in Lean4, demonstrating the feasibility of mechanizing advanced algebraic geometry concepts.