BMUCO Studio

Worlds

Progress from spotting surface-level red flags to conducting full Mathlib-standard reviews. 7 worlds, 50+ levels, one mission.

1
World 1: The Meta-Proof Trap

Fill in Lean proof steps and decide if informal proofs are valid. Not all of them are.

8 levels
World 2: Tactic GauntletComing Soon

Master core Lean 4 tactics through increasingly challenging proof puzzles.

8 levels
World 3: The Specification GameComing Soon

Write formal specifications that match informal requirements — and catch the mismatches.

8 levels
World 4: Induction LabComing Soon

Prove properties by induction, from simple base cases to nested structural recursion.

8 levels
World 5: Library ArchaeologyComing Soon

Navigate Mathlib to find lemmas, understand naming conventions, and chain library results.

8 levels
World 6: Proof RefactoringComing Soon

Take working but messy proofs and refactor them to Mathlib contribution standards.

8 levels
World 7: The ContributionComing Soon

Combine everything to write a real Mathlib-quality proof from scratch.

6 levels